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Ludmilka [50]
3 years ago
15

a roofer charges $60 for the first hour of service call and $25 per hour for each additional hour. The roofer also charges a fee

for all materials used plus 30% over the cost of the materials. Let r-roofer's cost of materials and h= number of hours worked. What expression could be used to find the cost of a service call
Mathematics
1 answer:
Temka [501]3 years ago
4 0

Answer:

<h2>y=60+25h+0.3r</h2>

Step-by-step explanation:

let y be the total charges

given that the hour is h

and the cost for raw material is r

therefore

1. The first hour of service call = $60

2. For each additional hour= 25h

 3. 30% over the cost of the materials.= 30/100*r=0.3r

total charges

y=60+25h+0.3r

therefore the expression is

y=60+25h+0.3r

   

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Simplify the following, where k represents any integer: cos(2kpi-x)(-sin(2kpi-x))
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5 0
3 years ago
I Need Assistance With This:
Tamiku [17]

Answer:

22.5 in^2

Step-by-step explanation:

h = 3 in

base 1 = 6 in

base 2 = 9 in

So plug in

A = 1/2 (3) (6 + 9)

A = 3/2 (15)

A = 22.5 in^2

5 0
3 years ago
The sum of squares of two consecutive positive even integers is 52 more than their product. Find these numbers.
natulia [17]

Answer:

The first set of consecutive even integers equals (8 , 6)

The second set is ( - 8 and - 6) which also works.

Step-by-step explanation:

Equation

(x)^2 + (x + 2)^2 = (x)(x + 2) + 52            Remove the brackets on both sides

Solution

x^2 + x^2 + 4x + 4 = x^2 + 2x + 52        Collect the like terms on the left

2x^2+ 4x+ 4 = x^2 + 2x + 52                  Subtract right side from left

2x^2 - x^2 + 4x - 2x + 4 - 52  =  0          Collect the like terms

x^2 + 2x - 48 = 0                                     Factor

(x + 8)(x - 6) = 0

Answer

Try the one you know works.

x - 6 = 0

x = 6

Therefore the two integers are 6 and 8

6^2 + 8^2 = 100

6*8 + 52  = 100

So 6 and 8 is one set of  consecutive even numbers that works.    

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

What about the other set.

x + 8 = 0

x = - 8

x and x + 2

- 8  and -8 + 2 = - 8, - 6

(- 8 )^2 + (- 6)^2 = 100

(-8)(-6) + 52 = 100

Both sets of consecutive numbers work.


5 0
3 years ago
Read 2 more answers
Given a cylinder with radius of 5 cm and a height of 8 cm find the volume of the cylinder use 3.14 for pie
oksian1 [2.3K]

Answer:

628.32

Step-by-step explanation:

V=πr2h=π·52·8≈628.31853

8 0
3 years ago
Read 2 more answers
According to the number line, which statement MUST be true? A) A &lt; 0 B) B &gt; 10 C) C &lt; 15 D) D &gt; 15
Elena L [17]

According to the number line, the statement that MUST be true- is (C) C < 15

<u>c) We can see that √C is almost equal to 4, and 4^2 = 16, so most likely, C is bigger than 15, so this is true</u>

<u></u>

<u></u>

<u>Step-by-step explanation:</u>

As you know, in the number line we are looking at the roots of the numbers, and as you know; (√A)^2 = A, so using this, we can analyze each option:

a) A can not be less than zero, because √A is bigger than zero.

b) we can see that √B is smaller than 3, and 3^2 = 9, so B must be smaller than 9, and then, smaller than 10.

<u>c) We can see that √C is almost equal to 4, and 4^2 = 16, so most likely, C is bigger than 15, so this is true</u>

d) we can see that √D is bigger than 4, and using the same reasoning as before, we can see that D is bigger than 16, and 16 is bigger than 15, so D > 15 is false

6 0
3 years ago
Read 2 more answers
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