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3 years ago

The drama club is having a car wash as a fundraiser. They wash x cars at $5 each

Mathematics

1 answer:

Galina-37 [17]3 years ago

8 0

Answer:

x + y ≥ 26 + 15

5x + 8y ≥ 250 (see below)

Step-by-step explanation:

First, write an equation to represent the total cost to wash cars:

$5x = cost for cars

Then, write another for trucks:

$8y = cost for trucks

If the question is saying that they will wash at least 26 cars and 15 trucks, that means they could wash more. This means that we'll need an inequality:

This inequality represents that the total number of cars and trucks they wash will be at least—which means that it is equal to or greater than—than the amount given:

x + y ≥ 26 + 15

Any equation or inequality with two unknowns is not solvable, meaning we need a system of equations:

If they make at least $250, that means that we need to combine the costs of the cars and trucks to make an inequality:

5x + 8y ≥ 250

Now you have your system of equations:

x + y ≥ 26 + 15

5x + 8y ≥ 250

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Answer:

Divide 9 from both sides.

Step-by-step explanation:

The first step to solving this equation is to add 23 to both sides.

9x - 23 (+23) = 49 (+23)

9x = 49 + 23

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The second step is to isolate the x and divide 9 from both sides:

(9x)/9 = (72)/9

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The diameter of a circle is 10 cm what is the angle measure of an arc Pi centimeters long

vredina [299]

We know that

[length of a circumference]=2*pi*r
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3 years ago

Place the steps for finding f'(X) in the correct order. Plz help Thank you!

SashulF [63]

Answer:

See below

Step-by-step explanation:

Given function is ,

=> f(x) = 4x + 7.

Replace f(x) with y ,

=> y = 4x + 7

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=> x = 4y + 7

Now solve for y ,

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Replace y with f-¹(x) ,

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2 years ago

The figure is a square. Find the length of side x in simplest radical form with a rational denominator.

nika2105 [10]

Answer:

$10\sqrt{2}$

Step-by-step explanation:

The diagonal of any square with side length $s$ is equal to $s\sqrt{2}$ . Since the side length of the square is 10, the diagonal must be $\boxed{10\sqrt{2}}$ .

To support and prove this:

The diagonal creates two 45-45-90 triangles, with the diagonal being the hypotenuse of both of these triangles. The Pythagorean Theorem states that in any triangle, the sum of the squares of both legs is equal to the square of the hypotenuse ( $a^2+b^2=c^2$ ).

Call the diagonal $d$ . In these two triangles, both legs are equal to 10 (the side lengths of the square), and the hypotenuse is the diagonal. Thus, we have:

$10^2+10^2=d^2,\\100+100=d^2,\\d^2=200,\\d=\sqrt{200}=\sqrt{100}\cdot \sqrt{2}=\boxed{10\sqrt{2}}$

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3 years ago

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