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2 years ago

Paul and Art are going to start a business selling fresh vegetables in their neighborhood. They

Mathematics

1 answer:

bearhunter [10]2 years ago

5 0

The system of 5x + 2y ≤ 25 is given by 20x + 15y ≤ 120 and 5x + 2y ≤ 25

<h3>Equation</h3>

An equation is an expression used to show the relationship between two or more variables and numbers.

Let x represent the cucumber and y represent the amount of carrots, hence:

20x + 15y = 2(60)

20x + 15y ≤ 120 (1)

Also:

5x + 2y ≤ 25 (2)

The system of 5x + 2y ≤ 25 is given by 20x + 15y ≤ 120 and 5x + 2y ≤ 25

find out more on Equation at: brainly.com/question/2972832

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Item 16 A sphere has a radius of 8 centimeters. A second sphere has a radius of 2 centimeters. What is the difference of the vol

Zigmanuir [339]

Answer:

$672\pi \text{ cm}^3$ .

Step-by-step explanation:

We have been given that a sphere has a radius of 8 centimeters. A second sphere has a radius of 2 centimeters. We are asked to find the difference of the volumes of the spheres.

We will use volume formula of sphere to solve our given problem.

$\text{Volume of sphere}=\frac{4}{3}\pi r^3$ , where r is radius of sphere.

The difference of volumes would be volume of larger sphere minus volume of smaller sphere.

$\text{Difference of volumes}=\frac{4}{3}\pi(\text{8 cm})^3-\frac{4}{3}\pi(\text{2 cm})^3$

$\text{Difference of volumes}=\frac{4}{3}\pi(512)\text{ cm}^3-\frac{4}{3}\pi(8)\text{ cm}^3$

$\text{Difference of volumes}=\frac{4}{3}\pi(512-8)\text{ cm}^3$

$\text{Difference of volumes}=4\pi(168)\text{ cm}^3$

$\text{Difference of volumes}=672\pi\text{ cm}^3$

Therefore, the difference between volumes of the spheres is $672\pi \text{ cm}^3$ .

3 0

3 years ago

Determine which relation is a function.

slamgirl [31]

The last one is the correct answer

5 0

3 years ago

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Solve this polynomial:

nadezda [96]

Answer:

4ab +10b

Step-by-step explanation:

Perhaps you want to simplify the expression.

$(2.5ab+14b)-(-1.5ab+4b)=2.5ab+14b+1.5ab-4b\\\\=ab(2.5+1.5)+b(14-4)=\boxed{4ab+10b}$

8 0

3 years ago

Solve the following equation. Then place the correct number in the box provided. 3x + 1 + 5x = 7 +15 + 7x find X

KengaRu [80]

3x + 1 + 5x = 7 + 15 + 7x
8x + 1 = 22 + 7x
x = 21

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3 years ago

A customer went to a garden shop and bought some potting soil for $17.50 and 4 shrubs. The total bill was $53.50. Write and solv

malfutka [58]

Each shrub would cost $9.
x=(53.50-17.50)/4
Hope I help!!!

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3 years ago

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