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olganol [36]
2 years ago
9

Jerry and Renee collect stamps. Renee collected 17 fewer than four times the number of Jerry’s stamps. Altogether, they collecte

d 613 stamps. How many stamps did Jerry and Renee collect?
Jerry collected ______ stamps.
Renee collected _______stamps.
Mathematics
1 answer:
Ganezh [65]2 years ago
5 0

Answer:

Jerry collected 126 stamps.

Renee collected 487 stamps.

Step-by-step explanation:

Let Jerry be J and Renee be R

Eq1: R=4J-17

Eq2: 613=R+J

Rearrange the second equation to isolate J:

J=613-R

Sub this new equation into Eq1 and solve for R:

R=4(613-R)-17

R=2452-4R-17

5R=2435

R=487

Sub R=487 into Eq2 to solve for J

613=487+J

J=126

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The fraction is 1/15 and the decimal is 1.15
5 0
3 years ago
Solve the system of equations using substitution
Andru [333]

Answer:

x = 136/11 , y = 68/11

Step-by-step explanation:

Solve the following system:

{6 x - y = 68

2 y = x

Hint: | Choose an equation and a variable to solve for.

In the second equation, look to solve for x:

{6 x - y = 68

2 y = x

Hint: | Reverse the equality in 2 y = x in order to isolate x to the left hand side.

2 y = x is equivalent to x = 2 y:

{6 x - y = 68

x = 2 y

Hint: | Perform a substitution.

Substitute x = 2 y into the first equation:

{11 y = 68

x = 2 y

Hint: | Choose an equation and a variable to solve for.

In the first equation, look to solve for y:

{11 y = 68

x = 2 y

Hint: | Solve for y.

Divide both sides by 11:

{y = 68/11

x = 2 y

Hint: | Perform a back substitution.

Substitute y = 68/11 into the second equation:

{y = 68/11

x = 136/11

Hint: | Sort results.

Collect results in alphabetical order:

Answer: {x = 136/11 , y = 68/11

7 0
3 years ago
A contractor is calculating the number of decorative stones for a new rectangular patio. The bids always include a count for the
babunello [35]

Answer:

The number of edge stones needed has a constant rate of change, but the number of stones for the center does not.

Step-by-step explanation:

The complete question is shown in the picture attached below.

Two functions E(x) and C(x) are given in the table along with some of the function values. We have to identify if any of these functions show constant rate of change or not.

By constant rate of change we mean that the slope is constant or in other words, a linear relationship is shown by the function. For a Linear function, the  first differences of the function values are same.

By first differences we mean the difference between two consecutive output values. We can see that difference between consecutive input values is constant i.e. 1. If the difference between consecutive output values of any of the functions is same, then that function will be a Linear Function and, therefore, the rate of change for that function will be constant.

Lets analyze E(x) first. The output values are:

34, 52, 70 and 88

The difference between consecutive output values is:

18, 18 and 18

Since, this difference is constant, we can conclude that E(x) is a Linear function with a constant rate of change.

Now lets analyze C(x). The output values are:

62, 133, 260 and 435

The difference between consecutive output values is:

71, 127 and 175

Since, the differences are not constant, C(x) is not a Linear Function and , therefore, the rate of change of C(x) is not constant.

Conclusion:

The number of edge stones which is represented by E(x) has a constant rate of change, but the number of stones for center which is represented by C(x) does not have constant rate of change. This makes the first option our correct answer.

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2 years ago
I WILL MAKE YOU BRAINLIEST!!!!! On the number line below, P represents a number. What is the value of the opposite of that numbe
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Answer:

do u do buzz?

Step-by-step explanation:

5 0
2 years ago
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Y varies directly as g and v = 36 when g =4 find v when g = 11
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I’m so sorry i’m doing this i really need help with math and i’m writing this but i think the answer is g=11
4 0
3 years ago
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