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Tatiana [17]
3 years ago
8

Matteo is working two jobs, making $15 per hour at the movie theater and $18 per hour washing cars. Last week Matteo worked a to

tal of 30 hours and earned a total of $480. Determine the amount of hours Matteo worked at the movie theater and the cash wash.
Mathematics
1 answer:
worty [1.4K]3 years ago
7 0

Answer:

movie theatre = 20 hours

car wash = 10 hours

Step-by-step explanation:

this would be solved using simultaneous equation

let a = hours worked in theatre

b = hours spent wash cars

15a + 18b = 480 eqn 1

a + b = 30      eqn 2

multiply eqn 2 by 15

15a + 15b = 450 eqn 3

subtract 1 from 3

3b = 30

b = 10 hours

substitute for b in eqn 2

a + 10 = 30

a = 20 hours

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The length of a rectangle is 5m longer than the width. If the perimeter of the rectangle is 58 m, find its length and width
LekaFEV [45]

Answer:

L = 17 m W = 12 m

Step-by-step explanation:

Here is the answer.

3 0
3 years ago
At the park there is a pool shaped like a circle. A ring-shaped path goes around the pool. Its inner diameter is 22yd and its ou
jeka94
First, we need to think about what we're actually solving for: the area of the path. To find this, we can find the area of the whole thing, minus the area of the pool.

The diagram would look something like the picture I attached. We know that to find the area of a circle, you do πr^2. The radius is half of the diameter, so halve the diameters:

22/2 = 11 yards
32/2 = 16 yards

Then solve for the area of both circles.
π11^{2}= 121π ≈ <span>380.13 (area of the pool)</span>
π16^{2}= 256π ≈ <span>804.25 (area of the whole thing)
</span>
Next, subtract the area of the pool from the area of the whole thing to find the area of the walkway:
804.25 - 380.13 = 424.12 (area of the walkway)

Finally, divide the area of the walkway by 6 to see how many gallons of paint you'll need:

424.12 ÷ 6 ≈ 70.69

So you'll need 71 gallons of paint!

Hope I helped and let me know if you have any questions :)


6 0
4 years ago
Please help, will give brainiest IF correct !! 40 points
erastova [34]

Answer:

nine over eleven because its ez

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
A company that teaches self-improvement seminars is holding one of its seminars in Middletown. The company pays a flat fee of $1
Nutka1998 [239]

Answers:

To reach the breakeven point, how many attendees will that take?  <u>   117   </u>

What will be the company's total expenses and revenues?  <u>    $1755  for each   </u>

=============================================================

Explanation:

x = number of attendees

C(x) = cost function for the company

C(x) = 14x+117

This is because the company pays $14 per person, so x of them accounts for 14x dollars. Then we add on the flat fee of $117 to get 14x+117 dollars overall.

In contrast, the revenue is

R(x) = 15x

because each attendee brings in $15 for the company

The breakeven point is when the cost and revenue are the same. This produces a profit of $0.

R(x) = C(x)

15x = 14x+117

15x-14x = 117

x = 117

If 117 people attend the seminar, then the company breaks even.

To check this, we'll compute the cost and revenue

C(x) = 14x+117

C(117) = 14*117+117

C(117) = 1755

R(x) = 15x

R(117) = 15*117

R(117) =  1755

The cost and revenue is $1755 for each. Because we get the same value, this confirms the correct x value.

Since 117 people is the breakeven point, the company should aim for an attendee count above this, so they can get a positive profit. At some point, there is a max capacity so x can't go up forever.

7 0
2 years ago
Which choices are equivalent to the fraction below check all the apply ""24" over 30
user100 [1]

Answer:

c) The reduced form of the given fraction   \frac{24}{30} =  \frac{4}{5}

Step-by-step explanation:

Here, the given expression is  "24 over 30".

The given expression is  is equivalent to \frac{24}{30}

Now by Prime Factorization:

24  =  2 x 2 x 2 x 3

30  = 2 x 3 x 5

⇒ The common factors in 24 and 30 is  2 x 3  = 6

So, \frac{24}{30}  = \frac{2 \times 2 \times 2 \times 2 \times 3}{2 \times 3 \times 5}   = \frac{6 \times 4}{6 \times 5}   = \frac{4}{5}

Hence the reduced form of the given fraction   \frac{24}{30} =  \frac{4}{5}

6 0
4 years ago
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