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kherson [118]
3 years ago
15

Define the variable you will use in your model

Mathematics
1 answer:
katrin [286]3 years ago
5 0

Answer:

Step-by-step explanation:

Let x represent the number of pounds of fruit that you can buy.

Let y represent the number of pounds of fruit that you can buy.

You need to buy at least 20 of them. This means that

x + y ≥ 20 - - - - - - - - - - - 1

You have a budget of 40$. Fruit cost 4$ per pound and the granola bars cost 1$ each. This means that

4x + y = 40

Substituting y = 40 - 4x into equation 1, it becomes

x + 40 - 4x ≥ 20

x - 4x ≥ 20 - 40

- 3x ≥ - 20

Dividing both sides of the equation by - 1, it becomes

3x ≤ 20

x ≤ 20/3 = 6.67

This means that the maximum number of pounds of fruit that you can by is 6 pounds.

Therefore the combination of fruit and granola bars that you can buy would be

1) 6 pounds of fruit and 16 bars of granola.

2) 5 pounds of fruit and 20 bars of granola.

3) 4 pounds of fruit and 24 bars of granola.

4) 3 pounds of fruit and 28 bars of granola.

5) 2 pounds of fruit and 32 bars of granola.

6) 1 pound of fruit and 36 bars of granola.

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a cone has a volume of 1230.88 units cubed and a diameter of 14 units what is the height of the cone use 3.14 for pi
ANEK [815]

Answer:

h= 24

Step-by-step explanation:

v = \pi {r}^{2}  \frac{h}{3}

r =  \frac{d}{2}

r =  \frac{14}{2}

r= 7

1230.88=3.14×7^2×h/3

1230.88= 153.86h/3

h=1230.88/153.86

h= 24

7 0
2 years ago
Robert's dog is 4 years older than Karen's cat. In 3 years, the sum of the ages of Robert's dog and Karen's cat will be 13. How
mylen [45]

Answer:

5.5 years old.

Step-by-step explanation:

Let D represent present age of Robert's dog and C represent present age of Karen's cat.

We have been given that Robert's dog is 4 years older than Karen's cat. We can represent this information in an equation as:

D=C+4...(1)

We are also told that in 3 years, the sum of the ages of Robert's dog and Karen's cat will be 13. After 3 years age of dog and cat would be D+3 and C+3 respectively.

We can represent this information in an equation as:

D+3+C+3=13...(2)

From equation (1), we will get:

C=D-4

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

D+3+D-4+3=13

Combine like terms:

2D+2=13

2D+2-2=13-2

2D=11

\frac{2D}{2}=\frac{11}{2}

D=5.5

Therefore, Robert's dog is 5.5 years old right now.

3 0
3 years ago
PLZ HELP ASAP WILL GET BRAINLIEST WHEN IT LETS ME
solniwko [45]
That part is the median, which is 57.

7 0
3 years ago
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Solve for b the problem is a=1/3BH
egoroff_w [7]
A = 1/3 * b * h....divide both sides by 1/3h
a / (1/3h) = b 
3a / h = b <===
8 0
3 years ago
..........................................................
Yakvenalex [24]

Answer:

........??

Step-by-step explanation:

huh whattt

7 0
3 years ago
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