An air-conditioning company counted 56 invoices at the end of the month. They charge $450 for a new installation and $75
for a service call. The total dollar amount of the invoices was $9,450.
How many installations and service calls did the company perform?

Answers

Answer 1

Answer:

14 installatons

42 service calls

Step-by-step explanation:

Let x = no. of new installations

      y = no. of service calls

(1)    x + y = 56           (2)    450x + 75y = 9450

            y = 56 - x               450x + 75(56 - x) = 9450

                                           450x + 4200 - 75x = 9450

                                            375x = 5250

                                                   x = 14 installatons

             y = 56 - 14 = 42 service calls

Answer 2

The number of installations are 14 and number of service calls are 42

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

Given,

An air-conditioning company counted 56 invoices at the end of the month.

For installation it charges  $450 and $75 for a service call.

Let x be number of installations

y be number of service calls

x+y=56...(1)

and 450x+75y=9450..(2)

From equation 1

x=56-y

Now substitute x value in equation 2

450(56-y)+75y=9450

Apply distributive property

25200-450y+75y=9450

25200-375y=9450

Subtract 25200 from both sides

-375y=9450-25200

-375y=-15750

Divide both sides by 375

y=42

Now put y value in equation 1

x+42=56

x=14

Hence, the number of installations are 14 and number of service calls are 42

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Related Questions

What is the function??

Answers

Answer:

ill explain

Step-by-step explanation:

download Calculator X and plug in that equation into the "y=" and then click on the table and you will find all the Y and X values

Find the sum of (4 + 3x) + (2 + x).

Answers

Answer:

Your answer would be 8x+2

Step-by-step explanation:

4x+3x+x+2

Combine the like terms

Which gives you 8x+2

Find the inverse of each function. g(x)=∛(x-2)
Please show the steps. I can show you what I have so far if you want, too.
Just please don't put some Ludacris thing, like "ldsnvlsjdsv" Okay? thankyou :)

Answers

Answer:

x=2

Step-by-step explanation:

g(x)=∛(x-2) -Substitute g(x)=0

0=∛(x-2) -Swap the sides of the equation

∛(x-2)=0

∛(x-2)=0 -Set the radicand equal to 0

x-2=0

x-2=0 -Move the constant to the right hand side and change its sign

x=2

I Hope this helps! If you are good at geometry I really need help. Please let me know! :)))

A rectangular park measures 100m by 60m. A path of constant width is to be paved around the perimeter. The mayor wants to ensure that the resulting area is 6400m2. Find the width of the path. (Round to the nearest tenth.)

Answers

Answer: 20

Step-by-step explanation:

First let's find the perimeter: 2(l+w) = 2 (100 + 60) = 2 (160) = 320m

Now let's divide 6400 by 320 = 20 metres

The constant width of the path is 20 m.

What is Area?

Area is the entire amount of space occupied by a flat (2-D) surface or an object's shape. The area of a plane figure is the area that its perimeter encloses. The quantity of unit squares that cover a closed figure's surface is its area.

Length of park = 100 m

Breadth of park = 60 m

As, the area including the path = 6400 m²

Area of path + Area of width = 6400 m²

100 x 60 + Area of width = 6400

Area of width = 400 m²

Area of width = 20 x 20 m²

Thus, the width of path is 20 m.

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What is the least common denominator of
1/3 and 5/9

Answers

Answer:

LCD = 9

Equivalent Fractions with the LCD

1/3 = 3/9

5/9 = 5/9

Solution:

Rewriting input as fractions if necessary:

1/3, 5/9

For the denominators (3, 9) the least common multiple (LCM) is 9.

LCM(3, 9)

Therefore, the least common denominator (LCD) is 9.

Calculations to rewrite the original inputs as equivalent fractions with the LCD:

1/3 = 1/3 × 3/3 = 3/9

5/9 = 5/9 × 1/1 = 5/9

I can’t figure it out
5 = 5 ( x + 6 )

Answers

Answer:

x = -5

Explanation:

5 = 5 (x + 6)
5 = 5x + 30
-25 = 5x
-5 = x

Hopefully this helped!

Answer:

Step-by-step explanation:

Solution:

= − 5

Multiply.

Answer as a fraction. Do not include spaces in your answer.

Answers

What is the equation? By mistake you must have not added it

Answer:

Multiply what?

Step-by-step explanation:

Help!! Ur the best if u can help!

Answers

Answer:

A

Step-by-step explanation:

Answer:

A.

Step-by-step explanation:

Hey! So look at 18 on the left-hand side. Then, look at the inches. Also, note that A is the exact same as the graph! Therefor, your answer is A!

Have a great day!

Brainliest please!

Hope this helps friend!

Subtract 19 and 4, triple the difference, and then add
four-fifths.

Answers

Answer:

45.8

Step-by-step explanation:

I think that is the correct answer

The following table is for which exponential function?

Answers

the answer is (y= 1/2)

b is directly proportional to a.
b is 10 when a is 8.
Work out b when a is 9.

Answers

Answer:

B=11

Step-by-step explanation:

b=10 a=8

b=? a=9

Either you can cross multiple 10x9=90/8 (11.25, round down to 11), or you can look that 9 is 8+1, so of we do the same process to b then we would find our awnser. 10+1=11.

When a is 9 then, the value of b will be;

⇒ b = 45/4

What is Proportional?

Any relationship that is always in the same ratio and quantity which vary directly with each other is called the proportional.

Given that;

'b' is directly proportional to a.

And, b is 10 when a is 8.

Now,

Since, 'b' is directly proportional to a.

Hence, We get;

⇒ b = ka

Where, k is constant of proportionality.

Here, b is 10 when a is 8.

So, Put b = 10 and a = 8;

⇒ b = ak

⇒ 10 = k × 8

⇒ k = 10 / 8

⇒ k = 5/4

So, When a is 9 and k is 5/4, then;

⇒ b = ak

⇒ b = 9 × 5/4

⇒ b = 45/4

Thus, The value of b = 45/4

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Eso
On Thursday, a local hamburger shop sold a combined total of 342 hamburgers and cheeseburgers. The number of cheeseburgers sold was two times the
number of hamburgers sold. How many hamburgers were sold on Thursday?
Il hamburgers
?

Answers

Answer:

Step-by-step explanation:

182

Xavier drove 88 miles in 1/6 of an hour. If he drove at a constant rate, how far did he travel in one hour?

Answers

19474772""""""""""""""""
he drove 528 miles!! !!

6. Find the values of x and y.
Drawing not to scale

Answers

Answer:

y=31°

x=90

step

y=180-59-90

=31

x=90

y = 31 °
x = 90 °




∠B = ∠C = 59 °

∠A = 180 ° - 59 ° - 59 ° = 62 °

∠A is divided into 2 parts (y° and another point):
= 62 ° ÷ 2

= 31 °


y = 31 °


x = 180 ° - 31 ° - 59 °

x = 90°

- 8x + 2y = -4
Find the slope and the v-intercept.
Then use them to graph the line.

Answers

Answer:

x= 1 /4 y+ 1 /2

Step-by-step explanation:

Jason bought a total of 20 medium and large pumpkins. If he bought 6 more large pumpkins as medium pumpkins, how many large pumpkins did he buy?

Answers

Answer:

26 large pumpkins

Step-by-step explanation:

This cylinder has a volume of 12cubic inches and a diameter of 4 inches.
Find the cylinder's radius and height.
h

Answers

Answer:

0.9554

Step-by-step explanation:

d = 4

r = d/2

r = 4/2

r = 2

V = 12

V = pi r^2 h

V = 3.14 * 2^2 * h

12 = 3.14 * 4 * h

12 = 12.56 * h

h = 12 / 12.56

h = 0.9554

help plz i’ll give brainliest

Answers

Answer:

y = 20 + 35x or y = 35x + 20

Step-by-step explanation:

Looking at the problem, a cell phone company charges $20 for a new account, and $35/month for phone service. With that information we can quickly form this equation:

y = 20 + 35x

The y is the total cost, 20 is the initial charge, and 35x is the per-month charge.

What is below is the graph for this equation.

I hope this helps! ^w^

(Also the graph was done because of a short explanation)

1. Jake makes $11.00 per hour. He is getting a raise of 20% to his hourly pay. How much
will he make per hour after his raise? Show your calculation.

Answers

Answer:

$11,00 x ( 100% + 20%) = $13.2 /h

Step-by-step explanation:

Please help! I do not know how to find the unknown variables using the Pythagorean theorem. Any help will be greatly appreciated:))

Answers

Answer:

x=10.247

y=52.02

z=37.98

Step-by-step explanation:

For x you use Pythagorean theorem which, in this situation would be 13^2=8^2+x^2 rearranging this we can figure out x by taking the square root of 13^2-8^2.

For y you can use any trig function but I chose to use cos since that uses info we're given, to find y you just do the inverse cos or cos^-1 of 8/13 to find the angle

For z you can use any trig function but I chose to use sin since that uses info we're given, to find z you just do the inverse sin or sin^-1 of 8/13 to find the angle

Help plsssss

Given the Trapezoid ABCD
Find the length of AD

Answers

Answer:

AD = 230

Step-by-step explanation:

here, we want to find the measure it AD

To do this, we need the value of x firstly

To get this, we are going to use the trapezoid midpoint theorem

The theorem is that the sum of the two parallel sides of a trapezoid when divided by 2 will give the middle point length of the trapezoid

Applying this:

1/2{30x-10+ 30x + 28} = 31x + 1

2(31x + 1) = 60x+ 18

divide both sides by 2

31x + 1 = 30x + 9

31x -30x = 9-1

x = 8

But;

AD = 30x-10

AD = 30(8)-10

AD = 240-10

AD = 230

HELP ME ASAP!!!!!!!!!!!!!

See picture attached.

WINNER GETS BRAINLIEST, THANKS AND A STAR RATING OF EXCELLENT!!!!!!!!!! Good Luck.

apokibunnyavatar

Answers

The answer is b, when there is multiplication involved, you don’t need to put the multinational sign.

Answer: B, 2×c×d

Step-by-step explanation:

When numbers and letters are next to each other in algebra it means times. So, 2cd means 2×c×d.

Hope this helps :)

sarah and janie both have lollipops. Janie has 36 lollipops. This is 9 times as many as sarah. How many lollipops does Sarah have

Answers

okay so, Janie has 9 times as many as Sarah does do what’s 36/9?
4! Sarah has four lollipops:)

Answer:

4

Step-by-step explanation:

Hello,

36 / 9 = 4

The two shorter sides of a triangle measure 12 cm and 18 cm. which of the following could be the length of the longest side of the triangle?

1. 30 cm
2. 17 cm
3.27 cm
4. 11 cm​

Answers

i believe it is number 1 (30 cm)

a supplementary angle that has a 41 degree angle what is X

Answers

Answer:

X= 139

Step-by-step explanation:

1. Suplementary angle = 180 degrees

2. Set up the Equation  

  41 + x = 180

3. Solve

 41 + x = 180

-41           -41

       x = 139

Pls help me I’m very bad at math

Answers

Answer:

(0,3) & (-3,15)  -4

(-4,-3) & (-8,-4)  1/4

(3,10) & (1,7)  3/2

(8,6) & (12,5)  -1/4

(-1,-4) & (2,-6)  -2/3

(7,-4) & (11,0)  1

(6,-1) & (7,3)  4

(5,-2) & (11,2)  2/3

Step-by-step explanation:

A certain forest covers an area of 4900 km². Suppose that each year this area decreases by 5.75%. What will the area be after
5 years?

Answers

Answer:

3,644 km²

Step-by-step explanation:

y = 4900(1 - .0575)^5

y = 4900(0.9425)^5

y = 3644.21

HELPP ME PLEASE ITS DUE TODAYY!!!!!

Answers

Answer:

add a point 4 units to the left

Step-by-step explanation:

Answer:

Add a point 5.5 units right of 1

Step-by-step explanation:

I used a ruler, and found out that the distance between 0 and 1 is 1cm.  The distance between 0 and x is 2.5cm.  Since x is to the left of 0, x = 2.5.

4 - -2.5 = 4 + 2.5 = 6.5, or 6.5 units right of 0, which is the same as 5.5 units right of 1.

Help? I will give brain list + 5 star rating and like on the profile

Answers

Answer:

7. Jamal and Steve finished the same amount of homework

8. 8/12 and 4/6

Hope this helps =]

4. A car traveled 110 miles in 2 hours.
What unit rate describes the speed of
the car?
Answer The question PLZZ no WEBSITE ANSWER

Answers

Answer:

The car is traveling 55 miles per hour

Step-by-step explanation:

Total miles divided by hours

110/2

55

Answer:

55 miles per hour

Step-by-step explanation:

110/2=55

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