For this case we can do the following:
\(\frac{3\cdot5+2}{5}+\frac{4\cdot8+7}{8}=\frac{17}{5}+\frac{39}{8}\)And then the sum would be given by:
\(\frac{17}{5}+\frac{39}{8}=\frac{331}{40}\)A rectangle has perimeter 104
cm and its length is 1
cm more than twice its width.
the width of the rectangle is 17 cm, and the length is 2w + 1 = 35 cm.
Why it is and what does a rectangle mean?
Let the width of the rectangle be "w" cm.
Then, the length of the rectangle is "2w + 1" cm. (since the length is 1 cm more than twice its width)
The perimeter of the rectangle is the sum of the four sides, which is:
P = 2l + 2w
where "l" is the length and "w" is the width.
Substituting the values given in the problem, we get:
104 = 2(2w + 1) + 2w
Simplifying the equation, we get:
104 = 4w + 2 + 2w
104 = 6w + 2
6w = 102
w = 17
Therefore, the width of the rectangle is 17 cm, and the length is 2w + 1 = 35 cm.
A rectangle is a four-sided flat shape with four right angles (90 degree angles) formed by two pairs of parallel lines. The opposite sides of a rectangle are equal in length, and the adjacent sides are perpendicular to each other.
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In Mr. Romeo's class, a student must work on i-Ready for at least 4 hours per month to receive a grade of 100. Last month Sophia received a math grade of 100. Which inequality represents the number of hours Sophia spent working on i-Ready last month, where h represents the number of hours? (PLEASE HELP MEE!! GIVING 10 POINTS!)
A. h≥4
B. h>100
C. h≤100
D. h<4
The inequality that represents the number of hours Sophia spent working on i-Ready last month is h ≥ 4.
Option A is the correct answer.
We have,
The problem states that a student must work on i-Ready for at least 4 hours per month to receive a grade of 100.
Since Sophia received a math grade of 100, it means that she has met the requirement of working on i-Ready for at least 4 hours in the last month.
And,
The symbol "≥" means "greater than or equal to," indicating that Sophia worked for at least 4 hours.
Therefore,
The inequality that represents the number of hours Sophia spent working on i-Ready last month is h ≥ 4.
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|x+4|=6 please help but give me an answer other than 2
Answer: -10 (or 2)
Step-by-step explanation: Absolute value gets rid of the negative so you can solve it with a positive or negative number as long as the interger still has the same value. (|-2|=2 and |+2|=2) so |-10+4|=6
I rent a gym for $150 for 30 students. Another time I rent the gym for $350 for 70 students. What is my rate per student?
Answer:
The rate is 5 dollars per student.
Step-by-step explanation:
The rate per student can be found with \(\frac{dollars}{student}\):
\(\frac{150dollars}{30student}=5\frac{dollars}{student}\\\\\frac{350dollars}{70student}=5\frac{dollars}{student}\)
The rate is 5 dollars per student.
Quadrilateral ABCD with AB = 5.5cm, BC = 3.5cm, CD = 4cm, AD = 5cm, and <A = 45°.
Step-by-step explanation:
hope it helps
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Given: AB=BC,AM=MC
BM IAC , EF I BC
EC
FC
Prove:
AB
MA
B
F
с
A
EM
Answer:
AB=BC,AM=MC
BM IAC , EF I BC
Step-by-step explanation:
AB
MA
B
F
с
A
Given the figure below, find the values of x and z.
95°
z°
(6x-23)
Answer: z=95 and x=18
Step-by-step explanation: the lines are both straight and the whole 6x blahb blah blah is not needed since the line is 180 degrees and 180-95=85 so 6x-23=85 which x=18 and it also has to be 95 so z=95
A red panda at the zoo eats 1/10 pounds of food
each day. How many days will it take the red panda to eat one pound of food? 6 pounds of food? 56 pounds of food?
Answer:
a. 10
b.60
c. 560
Step-by-step explanation:
a. 1 times 10
b. 10 times 6
c. 10 times 56
which is the solution to the equation 0.5x+4.2=5.9
Answer:
x=3.4
Step-by-step explanation:
you want to subtract 4.2 from 5.9 so it will be 1.7. Then 1.7/0.5 and it will be 3.4
hope this helped
Question in the pic, please explain your answer
The statement translated to an algebra equation will give the value of the unknown number w = 11/5
What is algebra?Algebra is the branch of mathematics that helps to represent problems or values in the form of mathematical expressions using letters to represent unknown values.
Let us represent the unknown number with the letter w so that the statement can be written as the equation:
5w - 8 = 3
add 8 to both sides
5w - 8 + 8 = 3 + 8
5w = 11
divide through by 5
5w/5 = 11/5
w = 11/5
Therefore, the statement translated to an algebra equation will give the value of the unknown number w = 11/5
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Create a dot plot of the data shown below.
20, 21, 21, 25, 20, 23, 27, 23, 24, 25, 26, 24, 23, 22, 24
Which measure of center would best describe a typical
value of the data set? Why?
would be best,
The mean
because the data distribution is
V nearly symmetrical
Intro
Click or tap the number line to add a dot.
20 21
22
23 24 25 26 27 28 29
Reset
Based on the data, the mean would be the best measure of center to describe a typical value in the data set.
How to create a dot plot with the given data?To create a dot plot, we can list the numbers in order and place a dot above the corresponding value on the number line.
20 ••
21 ••
22 •
23 ••••
24 •••••
25 ••
26 ••
27 •
The dot plot shows a relatively symmetric distribution of the data, with the majority of values clustered around the middle. Therefore, the mean would be a good measure of center to describe a typical value of the data set.
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Leigh has $10 to buy candy. She buys 2 pieces of candy for $0.68 each. How much
change will she receive?
Answer:
$8.64
Step-by-step explanation:
Since she buys 2 candys for 0.68 you multiply it by two
(0.68x2)
Then you get $1.36 So her candy cost $1.36
Now you take her 10.00-1.36 and you get 8.64 dollars or change left.
I hope this was helpful :)
Answer:
she will receive $8.64 of change
Step-by-step explanation:
2x0.68= 1.36 (2 for the 2 candies and 0.68 for the price of each one)
10-1.36=8.64 (subtract $1.36 from 10)
PLSSSS HELPPP I WILL FIVE BRAINLY!!!!
Answer:
The first box : -4 the second one : 6
Step-by-step explanation:
subtract 7 from 3 for the first box, then add 10 to -4 for the second one.
When listing all the pairs of factors for a particular term, the is being used.
When listing all the pairs of factors for a particular term, the factorization process is used.
How is factorization used?This process is fundamental in number theory and is used to break down composite numbers into their simplest building blocks: prime numbers.
For example, if we want to find all pairs of factors for the number 24, we could follow these steps:
Start with 1 and the number itself (in this case 24), as these are always factors.
Check if 2 divides 24 evenly. If it does, then 2 and 24/2 (which is 12) are a pair of factors.
Continue this process with increasing numbers. Check 3 (yes, it works, with the pair being 3 and 8), 4 (yes, with the pair being 4 and 6), and so on.
When the numbers you're testing exceed the square root of the original number (approximately 4.9 for 24), you can stop, as you'll have found all pairs.
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HELPPPP
Nitrogen is a gas at certain temperatures under normal conditions. These temperatures (t),
in degrees Celsius (°C) are represented by the inequality t > -196. Which best describes
the meaning of the inequality?
(2 points)
A.
Nitrogen is a gas only if the temperature is below -196(°C)
B.
Nitrogen is a gas only if the temperature is above -196(°C)
C.
Nitrogen is a gas only if the temperature is at or below -196(°C)
D.
Nitrogen is a gas only if the temperature is at or above - 196(°C)
Answer:
B
Step-by-step explanation:
The inequality says "t is greater than -196".
We can assume 't' means temperature.
With water, the gas state is warmer than the other states. (Steam is hotter than liquid water or water frozen solid.)
I took basic chemistry and I can tell you it is the same for other substances. - The gas state is the warmest.
So we can assume that Nitrogen is a gas at the warmer temperature.
Thus, we are looking for the statement that says Nitrogen is a gas when its temperature is greater than -196° Celsius.
B is the only one that matches.
Which of the following functions is graphed below? HELP
The solution is: Piece-wise function
f(x)=x+6 , x≤1
f(x) = x^2 + 3 , x>1, the following functions is graphed below.
Option C is correct.
Explanation:
We are given a graph of piece-wise function which break at x=1
We need to choose correct option for graph.
Function is break at x=1.
We will get two function
For x≤1 and x>1
As we can see x≤1, graph is linear and x>1 graph is parabolic.
Equation of linear graph, x≤1
Take two point of graph (0,6) and (-6,0)
Equation of line:
y-y1/y2-y1 = x-x1/x2-x1
y = x+1
f(x)=x+6 , x≤1
Equation of parabolic graph, x>1
f(x) = x^2 + 3
Piece-wise function
f(x)=x+6 , x≤1
f(x) = x^2 + 3 , x>1
Please see the attached figure.
Hence, The option C is correct.
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2% of 200 restaurant reviews were negative. How many reviews were negative?
Answer:
4
Step-by-step explanation:
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Help Quickly! Which survey would you expect to have fair results regarding attitudes about carnivals?
A. Do you like going to carnivals?
B. Do you like going to exciting carnivals?
C. Do you like traveling across town to go to carnivals?
D. Do you like going to noisy, overpriced carnivals?
Question A is the survey that you expect to have fair results regarding attitudes about carnivals
How to get the best survey questionThis survey question is the most neutral and fair among the options provided. It doesn't include any leading or biased language that may influence the respondent's answer.
Option B uses the adjective "exciting," which could lead people to think positively about carnivals.
Option C brings in the unrelated factor of "traveling across town," which could negatively influence the response based on travel preference rather than attitude towards carnivals. Option D uses negative descriptors "noisy" and "overpriced," which could lead people to think negatively about carnivals.
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Derek has 4 shirts, 7 pairs of pants, and 3 blazers. How many possible outfits can he make?
graph these equations? y = 3x - 5, y = 1/2x + 5
The solution of the given system of equations is (4, 7).
What is a linear system of equations?A system of linear equations consists of two or more equations made up of two or more variables such that all equations in the system are considered simultaneously. The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently.
The given system of equations are y=3x-5 -------(I) and y=1/2 x+5 -------(II)
Substitute equation (I) in (II), we get
3x-5=1/2 x+5
3x-1/2 x=5+5
2.5x=10
x=4
Substitute x=4 in equation (I), we get
y=3(4)-5
y=7
So, solution is (4, 7)
Therefore, the solution of the given system of equations is (4, 7).
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HELLPPPP PLEASEEE!!
A pack of gum costs $1.49. It has 25 pieces in a pack. How much does it cost to chew each piece of gum?
Answer:
$0.05
Step-by-step explanation:
<3
Help I need the answer
Fast
Answer: 4
Step-by-step explanation: because he needs to divided by 2
i need help with this algebra
Answer:
m=1
Step-by-step explanation:
y2-y1
-------- = y/x for slope
x2-x1
m =
y = 4-1
x= -2-(-5)
m (slope) = 3/3
m (slope) = 1
Whats the vertex of f(x)= 2x^2-8
Hi if you have a 65% grade can a 80% bring it up to a C 70%
Answer:
Ask your Teacher if you are missing any work and if you are do it and do some things for extra credit
Step-by-step explanation:
Answer: yes,it depends on the points
if you have 65% and you score a 80 on a 45 point assingment it can go up to a c
+ep explanation:
Write each as an algebraic expression
1) the difference of 10 and 5
3) u decreased by 17
5) x increased by 6
7) the sum of q and 8
9) twice q
11) the quotient of 18 and n
ABCD is not drawn to scale. Based on the angle measures given, ABCD
a parallelogram.
A
BO
95°
86°
95°
D
Therefore, we have shown that opposite sides of ABCD are parallel, and since opposite sides are also congruent (because the figure is a parallelogram), we can conclude that ABCD is indeed a parallelogram.
What is parallelogram?A parallelogram is a type of quadrilateral (a four-sided polygon) with two pairs of parallel sides. This means that opposite sides are parallel and have the same length, and opposite angles are congruent (have the same measure).
Here,
We can use the properties of a parallelogram to prove that ABCD is indeed a parallelogram, even though the figure is not drawn to scale.
A parallelogram is a quadrilateral with two pairs of parallel sides. This means that opposite sides are parallel and have the same length, and opposite angles are congruent (have the same measure).
In the given figure, we know that angle ABO and angle BAO are supplementary (add up to 180 degrees), because they are adjacent angles that form a straight line. Therefore, we can calculate the measure of angle BAO:
angle BAO = 180 - angle ABO
angle BAO = 180 - 95
angle BAO = 85
Since angle BAO is 85 degrees and angle ABO is 95 degrees, angle OAB must be:
angle OAB = 180 - angle BAO - angle ABO
angle OAB = 180 - 85 - 95
angle OAB = 0
This means that line AB is parallel to line CD, because they are corresponding angles formed by a transversal (line AO) intersecting two parallel lines (lines AB and CD).
Similarly, we can show that line AD is parallel to line BC, by using the fact that angle ADO and angle BCO are supplementary, and calculating the measure of angle BCO as:
angle BCO = 180 - angle ABO
angle BCO = 180 - 95
angle BCO = 85
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Please help me with #10 and #11, will mark brainliest.
Answer: Answers in the pictures
Hope this helps! :)
Jordan plotted the graph below to show the relationship between the temperature of a city in the number of cups of hot chocolate is sold daily egg in your own words describe the relationship between the temperature of the city and the number cups of hot chocolate sold
The amount of hot chocolate served daily is inversely correlated with the temperature of the city, with more cups being sold once the temperature is between 40 and 50 F.
Explain about the direct relation?When two variables change in tandem, the relationship is said to be direct. The variable y increases as the variable x increases. A linear relationship denoted by the equation y = kx is directly proportional.
There is a direct correlation between a circle's radius and area, meaning that when the radius is increased or decreased, the area correspondingly changes. If one variable increases while the other declines or vice versa, the relationship between the two variables is inverse.
For given question-
Jordan created the graph below to illustrate the correlation between a city's temperature and the daily sales of hot chocolate.
As we can see that - when the temperature increases the demand for the ice cream also increases which is the direct relation.
Thus, the amount of hot chocolate served daily is inversely correlated with the temperature of the city, with more cups being sold once the temperature is between 40 and 50 F.
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The diagram for the question is attached:
6 * 10x^{-3}/8*10x^{-6}
The simplified form of the given expression, 6 × 10⁻³ / 8 × 10⁻⁶, is 3/4 × 10³
Simplifying an expressionFrom the question, we are to simplify the given expression
The given expression is
6 × 10⁻³ / 8 × 10⁻⁶
Simplifying the expression
6 × 10⁻³ / 8 × 10⁻⁶
This can be written as
6/8 × 10⁻³/10⁻⁶
Reduce the fraction
3/4 × 10⁻³/10⁻⁶
Apply the division law of indices
3/4 × 10⁻³ ⁻ ⁽⁻⁶⁾
3/4 × 10⁻³ ⁺ ⁶
3/4 × 10³
Hence, the value is 3/4 × 10³
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