Answer:
There are 25 males and 21 females in the class
Step-by-step explanation:
Let us use the equation to solve the question
∵ A Spanish class has a total of 46 students
∵ The number of males is 4 more than the number of females
→ Assume that the number of females is x
∵ The number of females = x
∴ The number of males = x + 4
→ Add the numbers of males and females and equate the sum by 46
∴ x + x + 4 = 46
→ Add the like terms in the left side
∴ 2x + 4 = 46
→ Subtract 4 from both sides
∴ 2x + 4 - 4 = 46 - 4
∴ 2x = 42
→ Divide both sides by 2
∴ \(\frac{2x}{2}=\frac{42}{2}\)
∴ x = 21
∵ x represents the number of females
∴ There are 21 females
∵ x + 4 represents the number of males
∴ The number of males = 21 + 4 = 25
∴ There are 25 males
If 16 is divided by 5, what fraction would represent the remainder?
If we divide 16 by 5, we would have:
\(\frac{16}{5}=\frac{15+1}{5}=\frac{15}{5}+\frac{1}{5}=3+\frac{1}{5}\)The remainder would be represented wih the fraction 1/5.
Answer: 1/5
Never mind i got it!
Answer:
OOk
Step-by-step explanation:
Complete the table below to solve the equation 2.5x − 10.5 = 64(0.5x)
What is the interquartile range of the following data set?
4, 6, 10, 13, 18, 28, 34, 46, 50, 58
O A. 38
O B. 36
O C. 40
O D. 46
Answer:
Quartiles are special percentiles. The first quartile, Q1, is the same as the 25th percentile, and the third quartile, Q3, is the same as the 75th percentile. The median, M, is called both the second quartile and the 50th percentile.
Step-by-step explanation:
please mark me as the brainliest answer and please follow me.
Answer: 36
Step-by-step explanation:
marissa subtracted a negative number from a positive number p. Her result was negative. is that reasonable
Answer:
Yes that is reasonable
Step-by-step explanation:
As, we will take p = 12
So, the negative number = 24
So 12-24 = - 12
So therefore it's reasonable
You want to restrict the domain of the function shown in the graph below to make it one-to-one so that it will have an inverse. What are the largest domains, in interval notation you could use
Answer:
(-∞, -3] or [-3, ∞)
Step-by-step explanation:
You want the largest domain interval(s) on which the function shown in the graph could be one-to-one.
One-to-oneA one-to-one function must pass the horizontal line test. That is, no horizontal line can intersect its graph in more than one place.
ApplicationFor that to be true of the given function, the interval on which it is defined cannot include values on both sides of x=-3, where the graph has a minimum. That is, the domain must be either x ≤ -3, or x ≥ -3, (or some subset of either of these).
The largest intervals on which the function has an inverse are ...
(-∞, -3] or [-3, ∞)
<95141404393>
To make the given function one-to-one and have an inverse, we can restrict its domain to (-∞, a) or (a, ∞), where 'a' is the x-coordinate of the highest or lowest point on the graph.
Explanation:To make the given function one-to-one and have an inverse, we need to restrict its domain. The largest domains, in interval notation, that can be used are: (-∞, a) or (a, ∞) where 'a' is the x-coordinate of the highest or the lowest point on the graph, depending on the function type.
If the graph has a highest point, the domain is restricted to (a, ∞), where 'a' is the x-coordinate of the highest point. If the graph has a lowest point, the domain is restricted to (-∞, a), where 'a' is the x-coordinate of the lowest point.
For example, if the graph has a highest point at (3, 5), the domain would be restricted to (3, ∞) to make the function one-to-one and have an inverse.
Learn more about Restricting Domain here:https://brainly.com/question/32491116
#SPJ2
Circle 1 has center (−6, 2) and a radius of 8 cm. Circle 2 has center (−1, −4) and a radius 6 cm.
What transformations can be applied to Circle 1 to prove that the circles are similar?
Enter the scale factor as a fraction in simplest form.
The circles are similar because the transformation rule (_ , _) can be applied to Circle 1 and then dilate it using a scale factor of (_/_)
Answer
its scale factor is 4/3 and 0.75
Step-by-step explanation:
Alice and Bob each have a certain amount of money. If Alice receives n dollars from Bob, then she will have 7 times as much money as Bob. If, on the other hand, she gives n dollars to Bob, then she will have 2 times as much money as Bob. If neither gives the other any money, what is the ratio of the amount of money Alice has to the amount Bob has?
The ratio of the amount of money Alice has to the amount Bob has is approximately 3.36 : 1.
How to find the ratio of money ?According to the problem, two equations can be set up:
If Alice receives n dollars from Bob, then she will have 7 times as much money as Bob. This gives us the equation:
A + n = 7(B - n)
If Alice gives n dollars to Bob, then she will have 2 times as much money as Bob. This gives us the second equation:
A - n = 2(B + n)
We can rearrange these equations to make them easier to solve:
8n = 7B - A
3n = A - 2B
Setting these equal to each other, since they are both equal to 24n, gives:
21B - 3A = 8A - 16B
37B = 11A
A / B = 37 / 11
= 3. 36
Find out more on ratio at https://brainly.com/question/31414597
#SPJ1
1.Rodrigo bought a dozen roses. He gave 3/4 of the roses to his girlfriend and the rest to his
grandmother. How many flowers did he give his grandmother?
Answer:
3
Step-by-step explanation:
12/4=3
Please help I'll mark brainliest.
Answer:
I believe the answer is class 3 because each number of boys and girls goes into class 3.
Answer: Class 3.
Step-by-step explanation: Answers with a 1 to 2 ratio have ratios like 4 to 8, or 5 to 10. Class 3 is the only one with a 1 to 2 ratio, which is 7 to 14, with 7 being the number of girls in that class and 14 being the number of boys in that class. Class 1 has a 1 to 1 ratio, class 2 has a 2 to 1 ratio, and class 4 has a different ratio than all the rest, so that's why all of those are wrong. Therefore, class 3 is your answer.
Have a great day! :)
the temperature (in degrees celsius) as a function of time (in hours since moon) for a certain day in san jose costa rica is graphed?
Answer:
1.2 degrees celsius per hour
Step-by-step explanation:
that’s the answer on khan academy
The Average rate is 1.2 hour
What is average rate?A single rate that is a weighted average of the different rates that are applicable to property in various locations.
The average rate at which one quantity changes in relation to another's change is referred to as the average rate of change function.
Given:
The temperature at 3:30 pm is 24 degrees.
and, the temperature at 8:30 pm is 18 degrees.
So, the time difference is of 5 hours.
then, the average rate is
= (24 - 18) / 5
= 6 /5
= 1.2 hour.
Learn more about average rate here:
https://brainly.com/question/12395856
#SPJ2
5 - x divided by 3/4 x = 1/3
Answer:
x = 4
Step-by-step explanation:
(5-x) / (3/4x) = 1/3
multiply both sides by 3/4 x
5-x = 3/12 x add 'x' to both sides of the equation
5 = 15/12 x multiply both sides by 12/15
4 = x
To solve a(b + c) = d for a in 1 step:
Answer:
a = \(\frac{d}{b+c}\)
Step-by-step explanation:
a(b + c) = d
isolate a by dividing both sides by b + c
a = \(\frac{d}{b+c}\)
which ratio is equivalent to 1:3
Answer:
2:6
Step-by-step explanation:
Answer:
the answer is 3:1
Step-by-step explanation: you divide both sides by the same number
1/3=3
3/3=1
3:1
in a science experiment, Judah is tracking the height of a small tree. At the beginning, the tree measured 32 inches. Six weeks later, The tree measures 36 inches. What is the percent increase in the tree's height? Please help!.
We can say that the tree's height increased by 12.5% over the course of the six-week experiment.
To calculate the percent increase in the tree's height, we need to find the difference between its new height and its old height, and then express that difference as a percentage of the old height.
We start with the formula:
percent increase = (new value - old value) / old value * 100%
In this case, the old value is the height of the tree at the beginning of the experiment, which is 32 inches. The new value is the height of the tree six weeks later, which is 36 inches.
So, plugging in those values, we get:
percent increase = (36 - 32) / 32 * 100%
Simplifying this expression gives us:
percent increase = 4 / 32 * 100%
And when we evaluate that expression, we get:
percent increase = 12.5%
Therefore, the percent increase in the tree's height is 12.5%.
To learn more about tree's height please click on below link
https://brainly.com/question/25659489
#SPJ1
thirty-six students at a local middle school were randomly selected to participate in a taste test to select a new menu item for a cafeteria. each student was given a choice between the macaroni and cheese and the cajun potato barrels. from the sample, 20 students selected macaroni and cheese and 16 students chose the cajun potato barrels. each student was asked to rate the item they chose on a scale from 1 (extremely dislike) to 9 (extremely like). which of the following prevents this study from being a well-designed experiment?
The treatments (new menu item) were not randomly assigned to the students when 36 local middle school kids were chosen at random to take part.
Given that,
36 local middle school kids were chosen at random to take part in a taste test to choose a new menu item for a cafeteria. The Cajun potato barrels or the macaroni and cheese were the options offered to each pupil. 20 pupils chose the macaroni and cheese from the sampling, while 16 selected the Cajun potato barrels. On a scale from 1 (very dislike) to 9 (very much like), each student was asked to rank the object they selected (extremely like).
We have to find which of the following keeps this study from being an experiment with a sound design.
Each student was given the option of choosing either the macaroni and cheese or the Cajun potato barrels. Because the students' treatments were not distributed at random, those who preferred their cuisine chose it and gave it high marks. As a result, the study has selection bias.
Therefore, The treatments (new menu item) were not randomly assigned to the students when 36 local middle school kids were chosen at random to take part.
To learn more about student visit: https://brainly.com/question/24116760
#SPJ4
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
The table shows a proportional relationship between the number of skeins of yarn and the number of scarves made from the yarn.
Skeins of Yarn 4 8 14
Scarves 2 4 x
A knitter with 14 skeins of yarn can make
scarves.
Based on the provided proportional relationship, 14 skeins of yarn can make 7 scarves.
The data provided shows a proportional relationship between the number of skeins of yarn and the number of scarves made from the yarn. Proportional relationships refer to relationships between two variables where their ratios are equivalent. In order words, in a proportional relationship, one variable is always a constant value times the other. That constant is called the constant of proportionality (k). It is calculated as: k = y/x where y is the variable that changes due to change in x. Based on the information, k = 2/4 = 4/8 = 0.5.
Hence, the number of scarves made using 14 skeins of yarn is given by y = 0.5x. When x = 14, y = 0.5*14 = 7
Note: The question is incomplete. The complete question is attached.
Learn more about Proportional relationship:
https://brainly.com/question/28777033
#SPJ4
Help !!
centimeters and millimeters <3
1 cm = 10 mm. Length of book : 28 cm. Length of book = 280 mm. This shows that measurements in mm are the same but look to have a higher number .
How to compare centimeters and millimeters ?The conversion factor provided states that 1 cm is equal to 10 mm, which means that 1 cm is made up of 10 individual millimeters.
The length of my book in when measured in millimeters is 280 mm.
In centimeters, this is therefore:
= 280 mm / 10 cm /mm
= 28 cm
Although the numerical value appears higher when expressed in millimeters, it is important to note that the actual length of the book remains the same.
Find out more on centimeters at https://brainly.com/question/22462126
#SPJ1
PLEASE HELP! WILL GIVE BRAINLIEST!
1. for a party, the family bought 24 pizzas for $12.50 each and 36 bottles of soda for $1.20 each. how much did the family spend on pizza? fill in the blank with the numerical answer only. the family spent $_______ on pizza.
2. for a party, the family bought 24 pizzas for $12.50 each and 36 bottles of soda for $1.20 each. how much did the family spend on soda? fill in the blank with the numerical answer only. the family spent $_______ on soda.
3. for a party, the family bought 24 pizzas for $12.50 each and 36 bottles of soda for $1.20 each. how much did the family spend in all? fill in the blank with the numerical answer only. the family spent $_______ in all.
Answer:
Step-by-step explanation: for a party, the family bought 24 pizzas for $12.50 each and 36 bottles of soda for $1.20 each. how much did the family spend on pizza? fill in the blank with the numerical answer only. the family spent $_______ on pizza.
The family spent 300$ on pizza
Answer:
Answer
Step-by-step explanation:
for pizza: $300.00
for soda: $43.20
In all: 343.20
-
18 The diagram shows triangle PQR.
Diagram NOT
accurately drawn
P
17.8 cm
360
R
26.3 cm
Calculate the length of PR.
Give your answer correct to 3 significant figures.
Answer:
The length of PR is 15.8 cm
Step-by-step explanation:
We will solve the question using the cosine rule
In ΔPQR
∵ (PR)² = (PQ)² + (RQ)² - 2(PQ)(RQ)(cos∠Q)
∵ PQ = 17.8 cm
∵ RQ = 26.3 cm
∵ m∠Q = 36°
→ Substitute them in the rule above
∵ (PR)² = (17.8)² + (26.3)² - 2(17.8)(26.3)(cos36)
∴ (PR)² = 316.84 + 691.69 - 936.28(cos36)
∴ (PR)² = 251.0635685
→ Take √ for both sides
∴ PR = 15.8449856
→ Correct it to 3 significant figures
∴ PR = 15.8 cm
∴ The length of PR is 15.8 cm
10) Sarah is 3 years older than her sister Mary.
Together their ages add up to 23. How old is Mary?
Answer:
20
Step-by-step explanation:
20 - 3
Sarah is 3 years older so 23 is going to be subtracted.
tan(x-1) ( sin2x-2cos2x) = 2(1-2sinxcosx)
The equation is proved.
G\(`tan(x-1)(sin2x-2cos2x)=2(1-2sinxcosx)`\)
We need to prove the given equation. Solution: Using the identity \(`sin2x=2sinxcosx` and `cos2x=1-2sin^2x`\)
in the given equation, we get
\(`tan(x-1)(sin2x-2cos2x)=2(1-2sinxcosx)`⟹ `tan(x-1)(2sinxcosx-2(1-\)
\(2sin^2x))=2(1-2sinxcosx)`⟹ `tan(x-1)(4sin^2x-2)=2-4sinxcosx`⟹ `2sin(x-1)\)
\((2sin^2x-1)=2(1-2sinxcosx)`⟹ `2sin(x-1)(2sin^2x-1)=2(1-2sinxcosx)`⟹\)
\(`2sinxcos(x-1)(4sin^2x-2)=2(1-2sinxcosx)`⟹ `2sinxcos(x-1)(2sin^2x-1)=1-\)
\(sinxcosx`⟹ `2sinxcos(x-1)(2sin^2x-1)=sin^2x+cos^2x-sinxcosx`⟹\)
`\(2sinxcos(x-1)(2sin^2x-1)=(sinx-cosx)^2`⟹ `sinxcos(x-1)(2sin^2x-1)=(sinx-cosx)^2/2`\)
For `LHS`, using identity
\(`sin(90 - x) = cosx`⟹ `sinxcos(x-1)(2sin^2x-1)=(sinx-sin(91-x))^2/2`⟹\)
\(`sinxcos(x-1)(2sin^2x-1)=(-sin(x-1))^2/2`⟹ `sinxcos(x-1)(2sin^2x-1)=sin^2(x-\)
\(1)/2`⟹ `sinxcos(x-1)(4sin^2x-2)=sin^2(x-1)`⟹ `sinxcos(x-1)(2sin^2x-1)=1/2`⟹ `1/2=1/2`.\)
For more question equation
https://brainly.com/question/17145398
#SPJ8
solve pls brainliest
Answer:
The answer is 57.6
Step-by-step explanation:
6 x 9.6 = 57.6
what is the value of 3⁵ . 3n = 3⁸
Answer:
n=6561/1451
Step-by-step explanation:
Before Valentine's Day, a store bought 58 boxes of chocolates. There were 65 chocolates in each box. How many chocolates did the store buy? chocolates
Answer:
The equation would be:
58 times 65
The answer:
3,770
Step-by-step explanation:
Let f(x)=6x2+18x. Answer the following questions. 1. Find the x intercepts of the parabola. Intercepts (separate with commas): x=2. Find the vertex of the parabola. Write the vertex as a point (a,b) where a and b are numbers.
The x-intercept is -3 and the vertex of the parabola is (-1.5, -13.5).
What is vertex?The intersection of two lines, two line segments, or any other suitable arrangement of rays, segments, and lines that results in two straight "sides" coming together at one location is known as an angle's vertex.
The x coordinate of the vertex is given as:
x = -b/2a= -18/ 2(6)= - 1.5
The y coordinate of the vertex is given as:
y = f(- 1.5)
f(- 1.5) = 6(- 1.5)² + 18(- 1.5) = 13.5 - 27= -13.5
Hence, the vertex of the parabola is (-1.5, -13.5).
The x intercept is found by substituting the value of y = 0 in the function:
0 = 6x² + 18x
0 = 6x (x + 3)
x + 3 = 0
x = -3
Hence, the x-intercept is -3 and the vertex of the parabola is (-1.5, -13.5).
Learn more about vertex here:
https://brainly.com/question/29030495
#SPJ4
When a banks customer makes an ATM withdrawal from the customers account which
Classes of the banks chart of accounts will be affected
Answer:
Classes representing assets.
Step-by-step explanation:
What is a perfect square 6^1
A perfect square refers to a number that is the result of multiplying an integer by itself. In this case, 6^1 is equal to 6.
However, 6 is not a perfect square because it cannot be obtained by multiplying an integer by itself. The perfect squares up to 6^1 would be 1^2 = 1 and 2^2 = 4.
An object attached to a coiled spring is pulled down 5 centimeters from its rest position and released. If the motion is simple harmonic in nature, with a period of pi seconds, answer the following questions.
A. what is the maximum displacement form equilibrium of the object?
B. what is the time required for one oscillation?
C. what is the frequency?
D.write an equation to model the motion of the object.
The maximum displacement is 5 centimeters.
The time required for one oscillation is π seconds.
The frequency is 1 / π Hz.
Equation to model the motion of the object is x(t) = 5 × cos(2t)
The maximum displacement from equilibrium can be determined by observing that the object is pulled down 5 centimeters from its rest position.
In simple harmonic motion, the amplitude represents the maximum displacement from equilibrium.
The period of oscillation is given as π seconds.
The period (T) is the time required for one complete oscillation.
The frequency (f) is the reciprocal of the period and represents the number of oscillations per unit time.
Thus, the frequency is the inverse of the period: f = 1 / T.
To model the motion of the object, we can use the equation for simple harmonic motion:
x(t) = A×cos(ωt + φ)
A = 5 centimeters (maximum displacement),
T = π seconds (period),
f = 1 / π Hz (frequency).
To find ω, we can use the relation ω = 2π / T:
ω = 2π / π = 2 radians/second.
The equation to model the motion of the object is:
x(t) = 5 × cos(2t)
To learn more on Displacement click:
https://brainly.com/question/29957379
#SPJ1
A new computer graphics company employs 10 programmers. The company decides to expand into digital animation and needs to transfer 3 of the programmers into the new department. How many different combinations of 3 programmers can be chosen to transfer to the new department?
A. 3
B. 30
C. 120
D. 840
There are 120 different combinations of 3 programmers that can be chosen to transfer to the new department
How to determine the ways of selection?From the question, we have
Total number of programmers, n = 10
Numbers to programmers to select, r = 3
The number of ways of selection could be drawn is calculated using the following combination formula
Total = ⁿCᵣ
Where
n = 10 and r = 3
Substitute the known values in the above equation
Total = ¹⁰C₃
Apply the combination formula
ⁿCᵣ = n!/(n - r)!r!
So, we have
Total = 10!/(7! * 3!)
Evaluate
Total = 120
Hence, the number of ways is 120
Read more about combination at
brainly.com/question/11732255
#SPJ1