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2 years ago

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You offer senior citizens a 20% discount on their tune-ups at your gas station. Assuming that an average of 50 senior citizens g

et a tune-up monthly at your station and that the average price of a tune-up before discount is $49.95, how much total discount do you give on an average monthly basis? $499.50 $1,248.75 $2,497.50 $12,487.50

1 answer:

Natali5045456 [20]2 years ago

6 0

499.50 is the total amount of discounts given to senior citizens

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How do I Simplify 4a – 7b + 2ab – a + b (I need step by step cause I'm trying to learn this)

Alex

Step-by-step explanation:

Ok. First of all, we need to follow the order of operations: Parentheses, Exponents, Multiplication, Division, Addition, Subtraction. We don't have any parentheses, exponents, or division to resolve, so you can skip those. So now you have: Multiplication, Addition, and Subtraction. We have multiplication in each term, but each term is fully simplified, so we have Addition and Subtraction left.

With that out of the way, let's go ahead and rearrange this equation so it is easier to solve. (<em>Note: we can only rearrange terms that are positive because subtraction is not commutative. But we can turn negative terms into "positive" terms by the method shown below.</em>)

4a - 7b + 2ab - a + b

4a + (-7b) + 2ab + (-a) + b (<em>Now the terms are all positive, so we can rearrange them, but they still have the same value.</em>)

4a + (-a) + 2ab + (-7b) + b

3a + 2ab + 7b

And there we go. Our answer is fully simplified. If you can understand this, you'll be able to simplify without isolating and rearranging the terms each time.

Hopefully this was helpful and not confusing.

4 0

2 years ago

I built a storage shed in the shape of a rectangular box on a square base. The material that I used for the base cost $4 per squ

Dmitrij [34]

Answer:

$V = \frac{450L - 6 L^{3} }{10}$

Step-by-step explanation:

The volume of a cuboid can be determined simply by the formula: V= LWH

(where: L is length, H is height and W is width).

In this particular case the base is a square, which means the length and width are equal. Hence we can modify the equation of volume:

$V = L^{2} H$

Now we need to find the value of H in terms of L. For this we can develop the equation for cost incurred in building the storage shed. We find the area of each side of the cuboid, and then we multiply it by cost per square feet to find the total cost incurred; as shown below:

<u>Area:</u>

Base: $L$ × $L = L^{2}$

Roof: $L$ × $L = L^{2}$

Side: $4 H$ × $L = 4HL$ (we have considered all four sides)

<u>Cost:</u>

Base: 4 $L^{2}$

Roof: 2 $L^{2}$

Side: $2.50 * 4HL = 10 HL$

Total cost:

4 $L^{2}$ + 2 $L^{2}$ + 10 $HL$ = 450

We simplify this equation further:

6 $L^2$ + 10<em>HL </em>= 450

10HL = 450 - 6 $L^2$

$H = \frac{450- 6 L^2}{10L}$

We now have the value of H, which we can substitute in the formula of Volume we deduced earlier:

substituting $H = \frac{450-6L}{10L}$ in $V = L^{2} H$ :

$V = L^2$ × $\frac{450 - 6L }{10L}$

Simplifying it further:

$V = L$ × $\frac{450 - 6L}{10}$

$V= \frac{450L - 6L^3}{10}$ is the final answer.

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2 years ago

Alguém me ajuda rapido por favor tou aki rachando a cuca e n consigo

Lady bird [3.3K]

The vertices of a right triangle are (–6, 4), (0, 0), and (x, 0). Find the value of x.

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3 years ago

Factor completely. y2+6y+8

zloy xaker [14]

If you can't see the picture the answer is: (y+4)(y+2).

Hope this helps, and May the Force Be With You!
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3 years ago

Read 2 more answers

A line through the origin and (10,4) is showin in the standard (x,y) coordinate plane below. The acute angle between the line an

Snowcat [4.5K]

Answer:

$\cos\theta=\frac{10}{\sqrt{116}}$

Step-by-step explanation:

To solve this, we can imagine a line drawn directly down from the point (10,4) to the x-axis. This would make a right triangle with length 10 and height 4.

$\cos\theta$ is equal to the length of adjacent leg to the angle divided by the length of the hypotenuse of the triangle. From the picture, we can see the adjacent leg is 10.

We can use Pythagorean's Theorem to find the hypotenuse (let $c$ represent the length of the hypotenuse):

$10^2+4^2=c^2$

$100+16=c^2$

$116=c^2$

$c=\sqrt{116}$

Thus, we know the adjacent is 10, and the hypotenuse is $\sqrt{116}$ . This means $\cos\theta=\frac{10}{\sqrt{116}}$ .

Hope this helps!

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2 years ago