Answer:
37.2
Step-by-step explanation:
when you turn the small triangle LMN to its right angle to cover the right angle of KLM, you find that they are similar triangles.
therefore the corresponding side lengths are at the same ratio.
LM/KM = MN/LN
LM = 24
MN = 13
we can get LN via Pythagoras of the small triangle
LN² + MN² = LM²
LN² + 13² = 24²
LN² = 24² - 13² = 576 - 169 = 407
LN = sqrt(407) = 20.174241
now back to our main problem
24/KM = 13/sqrt(407)
24×sqrt(407)/13 = KM = 37.2
If sin A = cos B, what must be the relationship between the measures of
The measures of angles A and B must be complementary (add up to 90°) and differ by 90°If sin A = cos B, then we can use the trigonometric identity sin A = cos (90° - A) to get:
sin A = cos B
sin A = sin (90° - B)
Setting the two expressions for sin A equal to each other, we have:
cos B = sin (90° - B)
Using the trigonometric identity sin (90° - x) = cos x, we can write:
cos B = cos (90° - B)
This means that either:
B = 90° - A
or
B = A + 90°
In other words, the measures of angles A and B must be complementary (add up to 90°) and differ by 90°.
Learn more about “ measures of angles “ visit here;
https://brainly.com/question/26612039
#SPJ4
Try It
Given: AD
Prove: DE
D
BC and BCD =
CE
Hint
B
Angles Segments Triangles Statements Reasons
AAS
CPCTC
Statements
✓ 1. AD = BC
✓2. ZBCD =
3. DC DC
4. AADC = ABCD
5. LEDC ZECD
SAS
converse of isosceles triangle thm
Reasons
1. given
2. given
3. reflexive property
4. SAS
5. CPCTC
The required statements and reasons to prove that DE is equal to CE is explained.
What is a triangle congruence theorem?The triangle congruence theorem is a theorem that can be used to prove that two or more triangles are the same, considering the corresponding properties of the triangles. The properties are length of the sides, and measure of internal angles.
The statements and reasons to prove that DE is equal to CE are explained below using the triangle congruence theorem.
STATEMENT REASON
1. AD = BC Given
2. <BCD = <ADC Given
3. DC = DC Reflexive property
4. ΔADC ≅ ΔBCD SAS
5. <EDC ≅ <ECD CPCTC
6. AC = BD Definition of diagonal
7. DE = CE Congruent sides of isosceles triangle
Learn more about the triangle congruence theorem at https://brainly.com/question/18922904
#SPJ1
A pipe 11/15 liters of tub in 22/45 minutes what is its flow rate in terms of liters per minute
Answer:
3/2 liters/minute
Step-by-step explanation:
Divide 11/15 liters by 22/45 minutes:
11
------
15
-----------
22
-----
45
This is equivalent to:
11 45
----- * ----- = 3/2 (liters/min)
15 22
The flow rate of the pipe is 3/2 (or 1.5) litres per minute.
To calculate the flow rate of the pipe, we divide the volume of water (in litres) by the time taken (in minutes).
Given:
Volume of water = 11/15 liters
Time taken = 22/45 minutes
Flow rate = Volume / Time
Flow rate = (11/15) liters / (22/45) minutes
To divide by a fraction, we multiply by its reciprocal:
Flow rate = (11/15) x (45/22) liters/minutes
Simplifying the expression:
Flow rate = 495/330 litres/minutes
The fraction can be simplified further by dividing both the numerator and denominator by their greatest common divisor (GCD), which is 165 in this case:
Flow rate = (495/165) / (330/165) litres/minutes
Flow rate = 3/2 liters/minutes
Therefore, the flow rate of the pipe is 3/2 (or 1.5) litres per minute.
To know more about expression follow
https://brainly.com/question/29115565
#SPJ2
The intensity of sound is measured on the decibel scale, db. The equation db=10logi represents the decibel level, where i is the ratio of the sound to the human hearing threshold. On a construction site, a large sheet of steel is dropped on the ground. The noise it makes is 100,000 times greater than the human hearing threshold. To the nearest whole number, what is the decibel value of the noise?
The decibel value of the noise is 50 db.
What is meaning of intensity of sound?
The quantity of energy going across a unit area in a unit time in a direction that is opposite to the direction of the sound waves.
The unit that used to calculate intensity of sound is decibel.
Given equation that represents the relation between intensity of sound and the ratio of the sound to the human hearing threshold is
db = 10 log i
Where i = the ratio of the sound to the human hearing threshold.
Putting i = 100,000 in the given equation:
db = 10 log 100,000
Replace 100,000 by 10⁵ :
db = 10 log 10⁵
Applying the formula of logarithm log 10^{a} = a:
db = 10 × 5
db = 50
To learn more about human hearing threshold, click on below link:
https://brainly.com/question/19920717
#SPJ4
The arm span and foot length were both measured (in centimeters) for each of 20 students in a biology class. The computer output displays the regression analysis.
Which of the following is the best interpretation of the coefficient of determination r2?
About 37% of the variation in arm span is accounted for by the linear relationship formed with the foot length.
About 65% of the variation in foot length is accounted for by the linear relationship formed with the arm span.
About 63% of the variation in arm span is accounted for by the linear relationship formed with the foot length.
About 63% of the variation in foot length is accounted for by the linear relationship formed with the arm span.
Answer:
The guy above me is completely wrong hahaha.
The correct answer should have a 63%.
It's probably D. The terminology is a little confusing.
The equation of the output looks like:
-7.611 + .186(x) = y
x --> Arm span
y --> Foot span
The linear relationship is formed with the armspan.
Answer: It’s D
Step-by-step explanation:
I took the test
The vertical jump record at Teresa's school is 23 inches. On Field Day
Teresa jumped 2 feet 3 inches. Did Teresa break the record?
Answer:
yes
Step-by-step explanation:
two feet is 24 inches plus 3 = 27 inches
Amanda used 24 grams of paint to paint a wooden cube. When it dried, she cut the cube into 8 equal cubes. How many more grams of paint does Amanda need to paint the unpainted surfaces of the 8 cubes?
Answer:
Amanda needs 24grams more of paint to paint the unpainted surfaces
Step-by-step explanation:
A cube contains 6 surfaces
Let the wooden cube(painted) have a side length of 2 units.
Therefore,
Area of the wooden cube(painted) = 2 x 2 x 6
=24grams
The wooden cube is cut into 8 Equal cubes
The side length of the smaller cube is 1
Area of each small cube= 1 × 1 × 6 =6
Area of total small cube=6×8
=48grams
Unpainted area=Total area of small cubes - total painted area
=48g-24g
=24grams
Amanda needs 24grams more of paint to paint the unpainted surfaces
Need helppppppp asapppppppp
Answer:
Round (n-value): 0. 1. 2. 3. 4.
# of Teams (aₙ): 1024, 512, 256, 128, 64
Step-by-step explanation:
aₙ = a₁ · r ⁿ⁻¹
Someone please correct me if I'm wrong. I learned this very recently.
X
Frequency
50
3
60
8
70
15
80
30
90
29
100
15
Distribution Type 1: Normal distribution with mean = 75 and std.
dev = 25
Distribution Type 2: Uniform Distribution U[50,100]
Distribution
The second is a Uniform distribution with a minimum value of 50 and a maximum value of 100, where all values have equal frequencies.
Frequency distribution is a statistical representation of the number of occurrences of each value in a set of data. Let's consider the given set of values and describe two types of distributions for it.
Distribution Type 1: Normal Distribution with mean = 75 and standard deviation = 25.
This distribution follows a bell-shaped curve that is symmetric around the mean value of 75. The standard deviation of 25 indicates that the data is spread out with a moderate amount of variability. The highest frequency occurs at the mean value of 75, and as we move away from the mean in either direction, the frequency gradually decreases. The distribution provides information about how the values are distributed around the mean.
Distribution Type 2: Uniform Distribution U[50, 100].
This distribution is characterized by a rectangular shape, where all values have the same frequency. In this case, the minimum value is 50, and the maximum value is 100, resulting in a range of 50. The frequencies are uniform throughout the distribution, meaning that each value has the same frequency. In this case, since there are seven values in the set, each value has a frequency of 1/7.
To summarize, the given set of values can be represented by two different distributions. The first is a Normal distribution with a mean of 75 and a standard deviation of 25, which shows the overall pattern and spread of the data.
Learn more about standard deviation
https://brainly.com/question/29115611
#SPJ11
alex has $600 in her checking account. she wants to spend a part of this money on a computer. she wants to have at least $250 left in her checking account after buying the computer. write an inequality that can be used to find t, the amount of money in dollars that alex can spend on the computer, and solve for t.
An inequality that can be used to find t the amount of money in dollars is
c)t ≤ 350, t is less than or equal to 350. So, correct option is c.
In science, a disparity or an inequality is a connection which makes a non-equivalent examination between two numbers or other numerical expressions. It is utilized generally normal to look at two numbers on the number line by their size. There are a few unique documentations used to address various types of disparities:
The documentation a < b implies that an is not as much as b.
The documentation a > b implies that an is more noteworthy than b.
Regardless, an isn't equivalent to b. These relations are known as severe inequalities, implying that an is completely not exactly or rigorously more prominent than b. Identicalness is barred.
We have Alex total amount =$600 and amount which he want on his account after spending is $250.
So,t+250 ≤600
=>t≤ 600-250
=>t≤ 350.
Hence, option c is correct.
To know more about inequality, visit here:
https://brainly.com/question/28823603
#SPJ4
(Complete question) is:
Alexandra has $600 in her checking account. She wants to spend part of this money on a computer. She wants to have at least $250 left in her checking account after buying the computer. The inequality shown can be used to find t, the amount of money in dollars that Alexandra can spend on the computer.
Which inequality represents all possible values of t?
a)t ≥ 350,
t is greater than or equal to 350
b)t ≤ 850,
t is less than or equal to 850
c)t ≤ 350,
t is less than or equal to 350
d)t ≥850,
t is greater than or equal to 850
By which numbers (4,6,8 or 9) are the following numbers divisible?
(a) 3 786
(b) 4 136
(c) 15 342
(d) 87 312
(e) 85 572
(f) 1234 567
Answer:
option a as last digit even a d come in 3 table
The strength of the electromagnet depends on the
Answer:
Depends on the ampere turns of the coil.
Step-by-step explanation:
The more your turn the wire in the coil, the greater the strength will be for the magnetic field.
Answer:
The magnetic field strength of an electromagnet is therefore determined by the ampere turns of the coil with the more turns of wire in the coil the greater will be the strength of the magnetic field.
Step-by-step explanation:
Magneto Motive Force is expressed as a current, I flowing through a coil of N turns. The magnetic field strength of an electromagnet is therefore determined by the ampere turns of the coil with the more turns of wire in the coil the greater will be the strength of the magnetic field.
There were 15 bunnies at the pet store. Each of the 5 female bunnies had 5 babies! How many bunnies are there in the pet store now?
Answer:
45??!
Step-by-step explanation:
Answer:
35
Step-by-step explanation:
If there were 15 bunnies 5 were females so there is 10 men and if each female had 5 babies each then that would be 25 babies plus the 10 men should be 35
if m Mf = 42 degrees and many = 132 degrees find m< C
We shall use the relation:
\(\theta=\frac{\beta-\alpha}{2}\)Therefore, we have
\(\begin{gathered} m\angle C=\frac{NH-MF}{2} \\ \\ m\angle C=\frac{132-42}{2} \\ \\ m\angle C=\frac{90}{2} \\ \\ m\angle C=45\degree \end{gathered}\)Then the angle m∠C is 45 degrees
Intervals that are smaller than semitones (smaller than the distance between notes on the piano) are called
Intervals that are smaller than semitones, or the distance between adjacent keys on a piano, fall under the category of microtonal intervals. While most Western music and instruments, including the piano, are based on the equal-tempered tuning system, which divides the octave into 12 equally spaced semitones, microtonal music explores the use of intervals smaller than these standard divisions.
Microtonal intervals introduce additional pitch distinctions that are not found in traditional Western music. They can be smaller than a semitone, allowing for finer gradations of pitch and enabling musicians to explore a broader range of sonic possibilities.
In various non-Western musical traditions, microtonal intervals have been used for centuries. For instance, Indian classical music employs a complex system of microtonal intervals known as shrutis, which divide the octave into 22 distinct pitches. These subtle pitch variations play a crucial role in ornamentation, melodic expression, and the mood of the music.
In contemporary Western music, composers and musicians have also embraced microtonality as a means of expanding the harmonic and tonal palette. This exploration has led to the development of new instruments and techniques capable of producing microtones accurately. Some instruments, such as the fretless guitar or violin, allow players to glide between pitches smoothly, covering a continuum of microtonal intervals.
Microtonal music challenges conventional notions of pitch and tuning, inviting listeners to experience unfamiliar soundscapes. It encourages composers and performers to think beyond the limitations of the standard Western tuning system and explore alternative systems of intonation. Microtonal intervals open up vast possibilities for creating unique and expressive musical compositions that transcend the confines of traditional tonality.
In summary, intervals smaller than semitones are referred to as microtonal intervals. Found in various musical traditions across the world, they provide finer pitch distinctions beyond the standard divisions of the equal-tempered tuning system. Microtonal music allows for greater expressive possibilities, challenging conventional Western notions of pitch and tonality and expanding the sonic palette available to composers and musicians.
Learn more about Intervals here
https://brainly.com/question/30460486
#SPJ11
Decide whether the following statement makes sense (or is clearly true) or does not make sense (or is clearly false). Explain your reasoning.When Sally is depressed, she listens to music. I saw her today listening to music, so she must have been depressed.Question content area bottomPart 1Choose the correct answer below.A.The statement makes sense. Sally listens to music when she is depressed. If she is listening to music, then Sally must be depressed. B.The statement makes sense. Sally listens to music when she is depressed. The statement clearly communicates that this is the only time Sally listens to music.C.The statement does not make sense. Sally listens to music when she is depressed. If she is listening to music, then Sally must not be depressed. D.The statement does not make sense. Sally listens to music when she is depressed, but the statement does not clearly state that this is the only time Sally listens to music.
Based on the given statement, the correct answer would be:
option A. The statement makes sense. Sally listens to music when she is depressed. If she is listening to music, then Sally must be depressed.
The given statement is discussing a potential relationship between Sally's emotional state of being depressed and her behavior of listening to music. The question asks whether the statement makes sense, is clearly true, or does not make sense, and provides four options to choose from.
Option A states that the statement makes sense and suggests that if Sally is listening to music, then she must be depressed. This option is reasonable because the statement establishes a connection between Sally's depression and her behavior of listening to music. It implies that listening to music is a coping mechanism or an activity she engages in when she experiences depressive feelings.
Therefore, if someone observes Sally listening to music, it can be inferred that she might be in a depressed state at that moment.
On the other hand, options B and C can be eliminated because they make extreme and unsupported claims. Option B suggests that Sally only listens to music when she is depressed, which is not explicitly stated in the given statement. Option C states that if Sally is listening to music, then she must not be depressed, which contradicts the initial connection established between depression and listening to music in the statement.
Option D highlights the incomplete nature of the statement but does not render it entirely senseless. It acknowledges that the statement mentions Sally's behavior of listening to music when she is depressed but does not provide information about other potential reasons she might listen to music.
In summary, option A is the most appropriate choice as it aligns with the established correlation between Sally's depression and her listening to music, while considering the possibility of other reasons for her music listening behavior.
To know more about logical reasoning refer here:
https://brainly.com/question/32269377?#
#SPJ11
All of the following are examples of joint hypotheses on multiple regression coefficients, with the exception of:
(A)H0: 3/2 = 1 and 4 = 0
(B) H0:1 + 2 = 1.
(C) H0: 1 = −2 and 1 + 2 = 1.
(D) H0: 2 = 0 and 3 = 0.
The correct answer of joint hypotheses on multiple regression coefficients ption (D) is the exception in this case.
In multiple regression analysis, joint hypotheses involve the null hypothesis of equality or inequality between two or more regression coefficients.
Option (A) H0: 3/2 = 1 and 4 = 0 is an example of a joint hypothesis that involves the null hypothesis of equality between two regression coefficients.
Where the coefficients are 3/2 and 1, and another null hypothesis of inequality between a coefficient and zero, where the coefficient is 4.
Option (C) H0: 1 = −2 and 1 + 2 = 1 is an example of a joint hypothesis that involves the null hypothesis of equality between a coefficient and a negative value.
Where the coefficient is 1, and another null hypothesis of equality between the sum of two coefficients and a value, where the coefficients are 1 and 2.
Option (D) H0: 2 = 0 and 3 = 0 is an example of a joint hypothesis that involves the null hypothesis of equality between two coefficients and zero, where the coefficients are 2 and 3.
However,
Option (B) H0:1 + 2 = 1 is not a joint hypothesis involving regression coefficients.
It is simply an equation involving two constants, 1 and 2, and the null hypothesis states that their sum is equal to 1.
For similar question on joint hypotheses on:
https://brainly.com/question/31054185
#SPJ11
Mr. Gonzalez earns his living as a salary plus commission employee. His annual salary is $18,000. He makes 4% commission on all of his sales. Mr. Gonzalez wants to earn $60,000 this year. If his earnings are divided evenly throughout the year, how much in monthly sales would Mr. Gonzalez need to have?
Mr. Gonzalez's monthly sales must be $87,500.
What is percentage?"It is a number or ratio that can be expressed as a fraction of 100"
For given example,
Let 's' represents the monthly sale.
So, the annual sales are 12 × s
He makes 4% commission on all of his sales.
So, the commission on (12 × s) sales would be,
= 12 × s × (4%)
= 12× s × 0.04
Mr. Gonzalez wants to earn $60,000 this year.
So, we get an equation,
⇒ 18000 + (12 × s × 0.04) = 60000
⇒ 12 × s × 0.04 = 60000 - 18000
⇒ 12 × s × 0.04 = 42000
⇒ s × 0.04 = 42000/12
⇒ s × 0.04 = 3500
⇒ s = 3500/0.04
⇒ s = 87500
Therefore, Mr. Gonzalez's monthly sales must be $87500.
Learn more about percent here:
https://brainly.com/question/22111589
#SPJ2
A survey of 1780 american households found that 59% of the households own a computer. identify the population, the sample, and the individuals in the study.
Population: All American households.
Sample: The 1780 American households surveyed.
Individuals: The American households participating in the survey.
In the given scenario, we have a survey of 1780 American households that found 59% of the households own a computer. Let's identify the population, sample, and individuals in the study:
Population: The population refers to the entire group or larger set of individuals that we are interested in. In this case, the population would be all American households.
Sample: The sample is a subset of the population that is chosen to represent the population accurately. In this situation, the survey includes 1780 American households. Therefore, the sample is the 1780 households that were surveyed.
Individuals: The individuals in the study are the specific units or elements being surveyed or examined. In this case, the individuals are the American households that participated in the survey. Each household represents an individual within the study.
To summarize:
Population: All American households.
Sample: The 1780 American households surveyed.
Individuals: The American households participating in the survey.
Learn more about population from
https://brainly.com/question/25896797
#SPJ11
A veterinarian keeps track of the types of animals treated by an animal clinic. The following distribution represents the percentages of animals the clinic has historically encountered. If the animal clinic treats 230 animals in a month, how many of each animal type would be expected?
In a month, the clinic will treat over 140 dogs, 51 cats, 18 animals, 14 birds, and 7 other species.
Define percentageA percentage is a way of expressing a proportion or a fraction as a quantity out of 100. It is typically denoted by the symbol "%".
In a month, the clinic should be able to treat about 140 dogs, 51 cats, 18 animals, 14 birds, and 7 other species. We must multiply the total number of animals treated by the proportion of each type of animal to determine the predicted number of each type of animal.
So, for dogs:
Dogs anticipated:
0.61 x 230= 140.3
For cats:
Expected number of cats
= 0.22 x 230
= 50.6
For livestock:
Expected number of livestock =
0.08 x 230
= 18.4
For birds:
Expected number of birds
= 0.06 x 230
= 13.8
For other animals:
Expected number of other animals
= 0.03 x 230
= 6.9
Hence, in a month, we may anticipate the clinic treating about 140 dogs, 51 cats, 18 cattle, 14 birds, and 7 other animals.
To know more about fraction, visit:
https://brainly.com/question/10354322
#SPJ1
the complete question is:
A veterinarian keeps track of the types of animals treated by an animal clinic. The following distribution represents the percentages of animals the clinic has historically encountered. Animal type Dogs Cats Livestock Birds Other Percent 61% 22% 8% 6% 3% If the animal clinic treats 230 animals in a month, how many of each animal type would be expected?
Are the ratios 3:5 and 6:10 equivalent?
Answer:
Yes
Step-by-step explanation:
An equivalent ratio is two or more ratios that have the same proportion. 3:5 and 6:10 do, so they are equivalent. An explanation is below.3:5 is exactly half of 6:10. I will explain the math in the steps below6 ÷ 2 = 310 ÷ 2 = 5Put them together: 3:5I hope this helps!
2т - 7 = 5х +8
Can u help me plzzzzz
Answer:
The answer is X=5
Step-by-step explanation:
2x - 5x = 7-8
-3x = -15
X= -15: (-3)
X=5
At Clark City Zoo, a zookeeper divides 6 bananas equally among
3 chimpanzees. What is the unit rate of bananas to chimpanzees
NEED ANSWER NOW PLZZ
Answer:
6÷3
=2
So each chimpanzee Will get 2 bananas
simple random sampling uses a sample of size from a population of size to obtain data that can be used to make inferences about the characteristics of a population. suppose that, from a population of bank accounts, we want to take a random sample of six accounts in order to learn about the population. how many different random samples of six accounts are possible?
Number of different random samples of six accounts that can be taken from the population is (N × (N-1) × (N-2) × (N-3) × (N-4) × (N-5)) / 720
The number of different random samples of six accounts that can be taken from a population of size N
N choose k = N! / (k!(N-k)!)
where N is the population size, k is the sample size
we have N bank accounts and want to take a sample of size k = 6.
the number of different random samples of six accounts that can be taken from the population
= N! / (k!(N-k)!)
= N! / (6!(N-6)!)
= (N × (N-1) × (N-2) × (N-3) × (N-4) × (N-5)) / 720
Therefore, the number of random samples is (N × (N-1) × (N-2) × (N-3) × (N-4) × (N-5)) / 720
Learn more about random sample here
brainly.com/question/29852583
#SPJ4
Which equation describes the function shown on the graph?
Answer:
The answer is B.
Step-by-step explanation:
Recall that lines are one of the three undefined terms in geometry, the other two being points and planes. If I had two, I would describe it as a "one-dimensional figure infinitely pointing in both of its directions", but that definition in itself is hard to grasp.
The good thing about undefined terms, though, are that they're easy to describe. Specifically, lines have two key attributes: the slope and the y-intercept.
Slope is "a number that describes both the direction and the steepness of [a] line". It's denoted by m, and it's usually called "rise over run" because slope is also the relationship between the vertical compoenent y and the horizontal component x.
The y-intercept is "the point where [a] line intercects the y-axis". Plain and simple. It also describes the position of a line, and it is denoted by b.
So, we know what slope and the y-intercept are, but how does this help us solve the problem?
Well, we are provided a graph, so let's make sense of the problem.
A line is defined by the slope and the y-intercept, which is why we always write the equation in slope-intercept form (y = mx + b). But this must mean a line must have a unique m and b as well!
So, let's start with b (the y-intercept). The line intersects the y-axis where the 2 margin is, so I can already say that the y-intercept is (0,2). We already have one piece of the puzzle filled: y = mx + 2. We can already rule out A and D.
Now let's find m. Remember that slope is "rise over run". Also, two points can always form a line. This means that at one point, I can move both vertically and horizontally to the next point of the line and use that to write the slope! So let's do that.
From the y-intercept (0, 2), I can move -1 units up and 5 units right to reach the next point on the line, (5,1). For simplicity's sake, we'll just say that rise is y, run is x, and m = y/x. This means that m = -1/5, which is our slope. We can rule out C.
Therefore, our answer is B.
Juan alquiló un auto por un día. La tarifa mínima es $490.00, con un cargo adicional de $9.70 por cada kilómetro que maneje. Juan pagó $2847.10 cuando entregó el auto. ¿Qué cantidad de kilómetros manejó? kilómetros Х $ ?
Answer:
243 km
precio de los kilómetros: $2357.10
Step-by-step explanation:
precio total = tarifa mínima + precio de los kilómetros
Para x kilómetros,
P = 490 + 9.7x
P = 2847.1
490 + 9.7x = 2847.1
9.7x = 2357.1
x = 243
precio de los kilómetros: 243 × $9.70/km = $2357.10
Respuesta: 243 km
precio de los kilómetros: $2357.10
i can’t figure this out
Answer: -1/3 is the correct answer
Step-by-step explanation:
Students were asked to choose their favorite food.
If 4/10 the students chose pizza and 4/10 chose tacos,
what fraction chose either pizza or tacos?
Answer:
4/5
Step-by-step explanation:
Simply add the two fractions together
4/10 + 4/10 = 8/10
Then simplify
8/10 = 4/5
4/5 students chose either pizza or tacos
What is the x value of the solution to the system of equations?
5x + 4y = 8
2x-3y = 17
O-3
O-2
O 4
O5
Answer:
4
Step-by-step explanation:
Which graph shows the solution to the system of linear inequalities?
x – 4y < 4
y < x + 1
On a coordinate plane, 2 straight lines are shown. The first solid line has a positive slope and goes through (0, negative 1) and (4, 0). Everything above the line is shaded. The second dashed line has a positive slope and goes through (negative 1, 0) and (0, 1). Everything below the line is shaded.
On a coordinate plane, 2 straight lines are shown. The first dashed line has a positive slope and goes through (negative 1, 0) and (0, 1). Everything above of the line is shaded. The second solid line has a positive slope and goes through (0, negative 1) and (4, 0). Everything above the line is shaded.
On a coordinate plane, 2 straight lines are shown. The first solid line has a positive slope and goes through (0, negative 1) and (4, 0). Everything above the line is shaded. The second solid line has a positive slope and goes through (negative 1, 0) and (0, 1). Everything below the line is shaded.
On a coordinate plane, 2 straight lines are shown. The first solid line has a positive slope and goes through (0, negative 1) and (4, 0). Everything below the line is shaded. The second dashed line has a positive slope and goes through (negative 1, 0) and (0, 1). Everything below the line is shaded.
Answer:
From the graph in the attachment, it is clear that Option A is correct.
Step-by-step explanation:
The given inequalities are x - 4y ≤ 4 and y < x + 1.
Let us take the first line x - 4y ≤ 4 and remove the inequality and add equality, x - 4y = 4.
Now, we will find the intercept points. Putting y = 0 we will get x = 4 and putting x = 0 we will get y = -1. So, the points are (4,0) and (0,-1).
When we will solve the inequality, we find that portion above the graph satisfies this inequality.
Let us take the second line y < x + 1 and remove the inequality and add equality, y = x + 1.
Now, we will find the intercept points. Putting y = 0 we will get x = -1 and putting x = 0 we will get y = 1. So, the points are (-1,0) and (0,1).
When we will solve the inequality, we find that portion below the graph satisfies this inequality.
All these conditions satisfy the Option A.
The diagram is in the attachment.
For more explanation, refer the following link:
https://brainly.com/question/13760700
#SPJ10