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Lerok [7]
3 years ago
9

Erin is renting chairs and a tent for a party. She can rent from A-1 Rental or Tonka Tents. A-1 Rental charges $1.33 per chair,

plus $64.42 for the tent. Tonka Tents charges $1.58 per chair, plus $60.67 for the tent. How many chairs will Erin need to rent for the cost of the rentals to be the same?
Mathematics
1 answer:
AleksAgata [21]3 years ago
4 0

Answer: Erin needs to rent 15 chairs

Step-by-step explanation:

Hi, we have to write an equation for each rental's cost.

<em>A-1 Rental charges $1.33 per chair, plus $64.42 for the tent. </em>

<em>Tonka Tents charges $1.58 per chair, plus $60.67 for the tent. </em>

  • A-1 Rental's Cost = 1.33x+64.42
  • Tonka Tents Cost = 1.58x+60.67

Where x is the number of chairs.

If both costs are equal:

A-1 Rental's Cost = Tonka Tents Cost

So:

1.33x+64.42 = 1.58x+60.67

Solving for x:

64.42-60.67 = 1.58x-1.33x

3.75 = 0.25x

15 =x

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What the answer to this equation X/8+4=5 ?
V125BC [204]

Answer:

The answer to this equation is 8

Step-by-step explanation:

\frac{x}{8} +4=5\\

<u>First: Subtract</u>

8-4=4

5 > 4 meaning that 5 is greater than 4.

You still need another number to make it equal than or greater than or equal to five.

5-4=1

Since 5 minus 4 does equal 1

You need somewhere to divide it from to get 1 so you can add up the 4 to it and get the answer to the equation.

<u>Lastly: Divide</u>

\frac{8}{8} =1

1+4=5\\5=5\\4\neq 5

Now, if you do 8/8 which equals 1, 1+4 = 5; Now everything is, <u>equaled</u> up!

<u>So in conclusion...</u>

\frac{x}{8} +4=5\\x=8\\\frac{8}{8}=1\\1+4=5\\5\neq5

3 0
3 years ago
Read 2 more answers
Question 1) When multiplying powers with the same base, keep the base and _______________ the exponents.
nika2105 [10]

The rules are

x^a\cdot x^b = x^{a+b}

\dfrac{x^a}{x^b} = x^{a-b}

Let me show you why with a couple of examples: suppose we want to multiply

4^3\cdot 4^2

Since powers are just repeated multiplications, we have

4^3\cdot 4^2 = \underbrace{4\cdot 4\cdot 4}_{4^3}\cdot\underbrace{4\cdot 4}_{4^2}=4^5 = 4^{3+2}

Similarly, we have

\dfrac{4^3}{4^2} = \dfrac{4\cdot 4 \cdot 4}{4\cdot 4} = 4 = 4^1 = 4^{3-2}

8 0
3 years ago
Nineteen students were invited to michelle's party. Three more boys than girls were invited. How many boys were invited?
bekas [8.4K]
11 boys and 8 girls because you divide it in half the add 2 and subtract 1. That isn't the wy you are supposed to do it but it works and makes since in my head.
7 0
3 years ago
Read 2 more answers
The sum of two consecutive integers is 65. what are the two integers? show steps please.
Gnoma [55]

Hi student, let me help you out! :)

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

We are asked to find the two integers, given that they are consecutive, and their sum is 65.

\triangle~\fbox{\bf{KEY:}}

  • Consecutive integers are right next to each other, like 12 and 13. or 65 and 66.

Let the first integer be x, and let the second integer be x+1.

Their sum is 65. Let's set up our equation:

\longmapsto\sf{x+x+1=65}

Combine like terms:

\longmapsto\sf{2x+1=65}

Subtract 1 from both sides of the equal sign:

\longmapsto\sf{2x=64}

Divide both sides by 2:

\longmapsto\sf{x=32}

To find the second integer, subtract the first integer from the sum of the two integers:

\longmapsto\pmb{65-32}

\longmapsto\pmb{33}

The integers are: 33 and 32.

Hope it helps you out! :D

Ask in comments if any queries arise.

#StudyWithBrainly

~Just a smiley person helping fellow students :)

7 0
2 years ago
7. Which dimensions result in the minimum perimeter for a rectangle with area 42.0 cm2?
natali 33 [55]

9514 1404 393

Answer:

  7. d. l = 6.48 cm, w = 6.48 cm

  8. d. square

Step-by-step explanation:

For a given area, the perimeter can always be shortened by reducing the length of the long side and increasing the length of the short side. When you get to the point where you can't do that, then you have the minimum perimeter. You will reach that point when the sides are the same length: the rectangle is a square.

__

7. In light of the above, the best dimensions are √42 ≈ 6.48 cm for length and width.

__

8. In light of the above, the shape is a square.

_____

The attached graph shows the length of one side (x) and the associated perimeter. The other side is 42/x, which will also be 6.48.

8 0
3 years ago
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