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Nimfa-mama [501]
2 years ago
10

what does the slope of -1 tell you about thr relationship between lengths and widths of rectangles with perimeter 24?

Mathematics
1 answer:
NeX [460]2 years ago
8 0

Using linear function concepts, the slope of -1 means that when one of the length/width is increased by 1, the other is decreased by 1.

<h3>What is a linear function?</h3>

A linear function is modeled by:

y = mx + b

In which:

  • m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
  • b is the y-intercept, which is the value of y when x = 0.

In this problem:

  • The lengths and the widths are interchangeable, that is, either can be considered as the input or as the output.
  • The slope of -1 means that when the input in increased by 1, the output is decreased by -1, that is, when one of the length/width is increased by 1, the other is decreased by 1.

You can learn more about linear function concepts at brainly.com/question/24808124

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I'm trying to find out the number of how much it cost to wrap each present, day one 41 small gifts were wrapped and 45 large wer
Licemer1 [7]

Answer:

Small gift: $2

Large gift: $7

Step-by-step explanation:

Let x represent cost of wrapping each small gift and y represent cost of wrapping each large gift.

We have been given that day one 41 small gifts were wrapped and 45 large were wrapped equaling $397.

We can represent this information in an equation as:

41x+45y=397...(1)

We are also told that day two 30 small gifts were wrapped and 47 large were wrapped equaling $389. We can represent this information in an equation as:

30x+47y=389...(2)  

From equation (1), we will get:

x=\frac{397-45y}{41}

Upon substituting this value in equation (2), we will get:

30(\frac{397-45y}{41})+47y=389

\frac{11910-1350y}{41}+\frac{47*41y}{41}=389

\frac{11910-1350y+1927y}{41}=389

\frac{11910+577y}{41}=389

\frac{11910+577y}{41}\cdot 41=389\cdot 41

11910+577y=15949

11910-11910+577y=15949-11910

577y=4039

\frac{577y}{577}=\frac{4039}{577}

y=7

Therefore, cost to wrap a large gift is $7.

Upon substituting y=7 in equation x=\frac{397-45y}{41}, we will get:

x=\frac{397-45(7)}{41}

x=\frac{397-315}{41}

x=\frac{82}{41}

x=2

Therefore, cost to wrap a small gift is $2.

8 0
2 years ago
Find the square roots of 9604​
OLEGan [10]

Answer:

98

You have to use prime factor decompisition. I hope this helps

5 0
3 years ago
Read 2 more answers
Can someone plz help me really fast
UNO [17]
Between 15 and 20 miles per gallon. 

5 0
3 years ago
Read 2 more answers
One number is nine more than a second number. Four times the first is 6 less than 2 times the second. Find the numbers.
Masteriza [31]

9514 1404 393

Answer:

  -12, -21

Step-by-step explanation:

Let x represent the first number. Then the second is x-9. The other relation is ...

  4x = 2(x-9) -6

  2x = -24 . . . . . subtract 2x, simplify

  x = -12

  x-9 = -21

The first number is -12; the second number is -21.

6 0
2 years ago
Malcolm is filling bags with rice. He starts with a 5 1/4 pound container of rice and fills each
Sliva [168]

Basically we want to know how many times 5/8 goes into 5 1/4.

5 1/4 ÷ 5/8 = 21/4 ÷ 5/8 = 21/4 × 8/5 = 42/5 = 8.4 bags

Since we cannot have a fraction of a bag, he can fill 8 bags completely.

answer: 8 bags

6 0
3 years ago
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