Part A: The average rate of change between the 2nd and 3rd point is Select a Value Part A: The average rate of change between the 3rd and 4th point is Select a Value Part B: The average rate of change between the 2nd and 3rd point is Select a Value Part B: The average rate of change between the 4th and 5th point is Select a Value

The equation which relates the height of the flower pot based on the number of pots is 4a + 16

Creating a system of linear equations based on the information given :

4a + b = 32 - - - - - (1)

2a + b = 24 - - - - - (2)

From (2)

2a + b = 24

Make b the subject ;

b = 24 - 2a - - - - (3)

Put b = 24 - 2a in (1)

4a + 24 - 2a = 32

4a - 2a + 24 = 32

2a = 32 - 24

2a = 8

a = 8/2

a = 4

From (3) :

b = 24 - 2(4)

b = 24 - 8

b = 16

The equation which relates the height of a flower pot is 4a + 16

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Answer:

take the square of 1.5then subtract the square of 1.2 to get the square of the Missing side then get it's square root

Answer:

Inequality: 8.25x + 54 = 9.75

Step-by-step explanation:

Why?

It will take 36 hours for David to have as much as Fatima.

David :

Initial saving = 54

Pay per hour = $8.25

While Fatima :

Pay per hour = $9.75

Let number of hours worked = x

David's total = $8.25x + 54

Fatima's total = 9.75x

In other to have the same amount :

8.25x + 54 = 9.75x

The like terms :

8.25x - 9.75x = - 54

-1.5x = - 54

x = - 54 / - 1.5

x = 36

Therefore, it’ll take 36 hours for David to have as much as Fatima.

Answer:

36 hours

Step-by-step explanation:

stay great peepz!

-TinyDiamond

Answer:-40 - 180=-220

Step-by-step explanation:

water is 0 so when subtracting it will be negative.

the answer is -220 because of how deep the submarine is.

you will keep subtracting the farther down you go.

Answer:

infinite solution

Step-by-step explanation:

-2 times x is -2x

-2 times 3 is -6

-2 times x is -2x

-2 times 1 is -2

the equation now looks like this:

-2x-6=-2x-2-4

Simplify

-2x-6=-2x-6

0=0

So this is an infinite solution

Hope this helps!

Answer:

1/2/11

Step-by-step explanation:

1/5×5/10/11=1/5×65/11

=13/11

=1/2/11

Answer:

A. 5y = 45.00; y = 9.00

Step-by-step explanation:

Step 1:

There are 5 friends in total and since we don't know how much money each of them contributed to the total amount ($45.00), we will substitute it with the variable y.

So, the amount of money the friends contributed is 5y.

The total amount of all the friends' money put together is given; $45.00.

So 5y = 45.00

______________

Step 2:

Divide 45.00 by 5 to find out how much each of the five friends contributed individually;

45.00 ÷ 5 = 9.00

So the amount of money the each friend contributes individually/ have to spend to buy a present for her individually is $9.00.

y = 9.00

______________

Model it:

5y = 45.00; y = 9.00

______________

Hope this helps! :)

Answer:

3?

Step-by-step explanation:

Answer:

None because the apples are all poisoned.

Step-by-step explanation:

Answer:

1.7

Step-by-step explanation:

in one hour, the first pump can fill the tank 1/4 of the way

in one hour, the other can fill it 1/3 of the way.

get them to the same denominator.

3/12+4/12=7/12 of the tank in one hour

1÷7/12=12/7=1 5/7=1.7

Answer:

$80.87

Step-by-step explanation:

The cost of supplies would be $80.87 This is because 15.33 • 7 = 107.31 and 188.18 - 107.31 = 80.87

Answer:

[tex]42[/tex]

Step-by-step explanation:

Another way to look at this question is: We make 5/6 yards of fabric from each pair of shorts. How many shorts do we need to make 35 yards of fabric.

So, we need to solve this equation for [tex]x[/tex]: [tex]x*5/6=35[/tex].

We can multiply both sides of the equation by [tex]6[/tex] to get [tex]x*5=210[/tex].

We then divide by [tex]5[/tex] on both sides to get [tex]x=42[/tex].

So, we can make [tex]\boxed{42}[/tex] pairs of soccer shorts.

Answer:

5^4-3

5¹

by law

a^m÷a^n= a^m-n

The graph of the inequality is drawn by placing a shaded circle at 4 as the starting point of ray pointing towards negative infinity

The students that created inequalities with appropriate solution set are;

A. Amanda

D. Diana

Reasons:

Question: The table of the question is presented as follows, and the graph of the inequality is attached

[tex]\begin{array}{|l|l|}\mathbf{\underlie{Amanda}}&-3\cdot x + 5 > -7\\&\\\mathbf{\undrline{Briana}}& \dfrac{1}{2} \cdot (2\cdot x - 4) >2 \\&\\\mathbf{\undrline{Courtney}}&-7\cdot x + 8 > -3 \cdot x +24\\&\\\mathbf{\undrline{Diana}}&9\cdot x - 6 <3 \cdot x+18\end{array}\right][/tex]

Solution:

The inequality with the same solution as the given graph is x < 4

The inequalities created by the students are;

Amanda;

-3·x + 5 > -7

Rearranging the above inequality gives;

-3·x + 5  - 5 > -7 - 5

-3·x > -12

Dividing both sides by (-1) and reversing the inequality sign gives;

[tex]\dfrac{-3 \cdot x}{-3} = x < \dfrac{-12}{-3} = 4[/tex]

x < 4

Therefore;

Briana;

The solution set created by Briana is [tex]\dfrac{1}{2} \cdot (2\cdot x - 4) >2[/tex]

Multiplying both expressions on either side of the equality by 2 gives;

[tex]2\times \dfrac{1}{2} \cdot (2\cdot x - 4) >2\times 2[/tex]

(2·x - 4) > 4

2·x > 4 + 4 = 8

[tex]x > \dfrac{8}{2}[/tex]

Therefore

x > 4

Courtney;

The inequality created by Courtney is -7·x + 8 > -3·x + 24

Rearranging gives;

8 - 24  > -3·x + 7·x

-16 > 4·x

4·x < -16

[tex]x < \dfrac{-16}{4}[/tex]

x < -4

Diana;

Diana's solution is 9·x - 6 < 3·x + 18

Rearranging, we get;

9·x - 3·x  <  18 + 6

6·x < 24

[tex]x < \dfrac{24}{6}[/tex]

x < 4

Therefor;

Therefore, the students that created inequalities with appropriate solution set are;

A. Amanda

D. Diana

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Answer:

2.378378378

Step-by-step explanation:

rounded it would be 2.4

Answer:

start with your fahrenheit then Subtract 32 then divide by 1.8

Step-by-step explanation:

Step-by-step explanation:

4(a-3)=22

a-3=4-22

a-3=18

a=18+3

a=21

5(x-6)=65

x-6=65-5

x-6=60

×=60+6

x=66

hope it will help u...............

Answer:

a = [tex]\frac{34}{4}[/tex]

x = 19

Step-by-step explanation:

First equation

Expand the brackets

4(a-3) = 22

4a - 12 = 22

Add 12 to both sides

4a - 12 + 12 = 22 + 12

4a = 34

Divide both sides by 4

4a ÷ 4 = [tex]\frac{34}{4}[/tex]

a = [tex]\frac{34}{4}[/tex]

Second equation

Expand the brackets

5(x - 6) = 65

5x - 30 = 65

Add 30 to both sides

5x - 30 + 30 = 65 + 30

5x = 95

Divide both sides by 5:

5x ÷ 5 = 95 ÷ 5

x = 19

Hope this helps!

The Monday and Tuesday attendance are illustrations of proportions.

Tuesday's attendance is larger than Monday's 7500

The given parameters are:

[tex]\mathbf{Monday = 4 \times 10^2}[/tex]

[tex]\mathbf{Tuesday = 3 \times 10^6}[/tex]

The number of times (n) the Tuesday attendance is larger than Monday's is:

[tex]\mathbf{n = \frac{Tuesday}{Monday}}[/tex]

So, we have:

[tex]\mathbf{n = \frac{3 \times 10^6}{4 \times 10^2}}[/tex]

[tex]\mathbf{n = 0.75 \times 10^{6-2}}[/tex]

[tex]\mathbf{n = 0.75 \times 10^{4}}[/tex]

[tex]\mathbf{n = 7500}[/tex]

Hence, Tuesday's attendance is larger than Monday's 7500

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Answer:

-9=9

Step-by-step explanation:

that the answer I think

92 because I'm really good at math

The z-scores of the monthly utility bills for the value of x as $60, $71 and $9 are -1.25, 0.125, and 2.25 respectively.

A Z-score helps us to understand how far is the data from the mean. It is a measure of how many times the data is above or below the mean. It is given by the formula,

[tex]Z = \dfrac{X- \mu}{\sigma}[/tex]

Where Z is the Z-score,

X is the data point,

μ is the mean and σ is the standard variable.

As it is given that the standard deviation of the monthly utility bills is $8, while the mean is $70. Therefore, the z-score can be written as,

A.) X= 60

[tex]Z = \dfrac{X- \mu}{\sigma}=\dfrac{60- 70}{8} = -1.25[/tex]

B.) X = 71

[tex]Z = \dfrac{X- \mu}{\sigma} = \dfrac{71- 70}{8}=0.125[/tex]

C.) X = 92

[tex]Z = \dfrac{X- \mu}{\sigma}= \dfrac{92- 70}{8}=2.25[/tex]

Hence, the z-scores of the monthly utility bills for the value of x as $60, $71 and $9 are -1.25, 0.125, and 2.25 respectively.

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Answer:

Step-by-step explanation:

2 angles are supplementary if their sum is 180 degrees. The larger angle measures eight degrees more than three times the measure of a smaller angle. If x represents the measure of the smaller angle and these two angles are supplementary, find the measure of each angle. I have the answer but do not know how to get it 43 degrees & 137 degrees

Let the smaller angle be x

The larger angle will be 3x+8

X+3x+8=180

4x=180-8=172

X=172/4

X=43

3*43+8= 137

Answer:

he sum of the first number and the square of the second number is 18. The difference between the square of the second number and twice the first number is 12.

I know the first set of equations would be x+y2=18 and y2−2x=12, and we can get x=2 and y=2 or y=−2.

My question is about how to understand difference when making equations. I know it means subtraction but would you ever use absolute values when making the equation?

For example, if I said the difference between a number x and 7 is 3, then wouldn't there be two answers? I would think of it as |x−7|=3 and then we could get two answers: x=10 and x=4. My rationale is that on the number line, the distance between either of my x values and 7 is 3.

In the quoted question I began with, then I could get the numbers of x=10 and y=22–√ or y=−22–√ but that's only if I did |y2−2x=12| and I don't feel that's right.

Step-by-step explanation:

Answer:

(0,2),(1,6),(−2,−6) are solutions

The answer to whether Dr. Reyes can make a causal inference from the study is;

No, she can't make a casual inference from the study because she met only one of the three criteria's for causality.

Now, the three conditions are;

1) Covariation; This condition means that the causal variable must have to vary with with the variable it is assumed to cause in a systematic manner.

2) Temporal precedence; Thus condition simply means that cause must precede effect. In summary it denotes that the variable that has the causal effect must come before the effect that it is meant to cause.

3) Control for extraneous variables; This condition means that results of an experiment or research must not be due to factors outside of the experiment/research

     Now, in our question, he fulfilled the covariation condition because the

result of the research is tied to the responses from the sample students.

However, she did not fulfill the temporal precedence because the cause of

their moods did not precede the effects in his research.

Also, she did not fulfill the condition of control of extraneous variables

because other factors outside of the research itself may have affected their

moods.

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Answer:

The price of the dress was reduced by 25%

Step-by-step explanation:

Answer:

The price for the dress was reduced by 25%.

Step-by-step explanation:

25% of 40 is 10.

40 - 10 = 30, explaining the dress' price reduction from 40 to 30.

Hope this helps!

Answer:

23 maybe because there is a 90 degree angle

Answer:

sorry sorry for bad hand writing

but u are right it is 153 degree

pls make me brainiliest

Answer:

100

Step-by-step explanation:

y  + 140 = 180   {Linear pair}

y = 180 -  140

y = 40

Given triangle is an isosceles triangle.

x + y + y = 180  {angle sum property of triangle}

x +2y = 180

x +2*40 = 180

x + 80 = 180

x = 180 - 80

x = 100

Answer:

d

Step-by-step explanation:

Answer:

1.14 x 10x4

Step-by-step explanation:

thats is correct i just did the test