1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
jeyben [28]
3 years ago
12

A manager is comparing the cost of buying ball caps with the team emblem from two different companies. Company X charges a $50 f

ee plus $7 per cap. Company Y charges a $30 fee plus $9 per cap. For what number of ball caps will the manager's cost be the same from both companies?
Mathematics
1 answer:
Nady [450]3 years ago
3 0

Answer:

10 ball caps

Step-by-step explanation:

In this question, we are trying to know the number of caps the manger would buy that would equate the cost at both companies.

How do we get this?

Since we do not know the number of caps, let’s assign a variable. Let the number of caps that is required be x. Let’s now make some costings in terms of x. We proceed;

Company X charges $50 fee plus $7 per cap. Total amount company X will charge on x caps will be; $50 + $7(x) = $50 + $7x

Company Y will charge $30 plus $9 per cap. Total amount company Y will charge on x caps will be $30 + $9(x) = $30 + $9x

We are trying to look at the value of x that will make both costs equal. What we do is to equate both costs.

30 + 9x = 50 + 7x

We simply by taking like terms to the same sides

9x-7x = 50-30

2x = 20

x = 20/2 = 10

X = 10

So what this means is that manger has to buy 10 caps to have the same cost in both companies

You might be interested in
Find the slope of the line that passes through (9,-3) and (9,-8)
miskamm [114]

Answer:

The line has no slope. I hope this helps

7 0
2 years ago
Based on the data given in the picture, calculate the area of the car track...
Verizon [17]

Refer to the diagram below. We need to find the areas of the green and blue regions, then subtract to get the area of the orange track only.

The larger green region is composed of a rectangle of dimensions 200 meters by 4+42+4 = 50 meters, along with two semicircles that combine to make a full circle. This circle has radius 25 meters.

The green rectangle has area 200*50 = 10000 square meters. The green semicircles combine to form an area of pi*r^2 = pi*25^2 = 625pi square meters. In total, the full green area is 10000+625pi square meters. I'm leaving things in terms of pi for now. The approximation will come later.

The blue area is the same story, but smaller dimensions. The blue rectangle has dimensions 200 meters by 42 meters, so its area is 200*42 = 8400 square meters. The blue semicircular pieces combine to a circle with area pi*r^2 = pi*21^2 = 441pi square meters. In total, the blue region has area 8400+441pi square meters.

After we figure out the green and blue areas, we subtract to get the orange region's area, which is the area of the track only.

orange area = (green) - (blue)

track area = (10000+625pi) - (8400+441pi)

track area = 10000+625pi - 8400-441pi

track area = (10000-8400) + (625pi - 441pi)

track area = 184pi + 1600 is the exact area in terms of pi

track area = 2178.05304826052 is the approximate area when you use the pi constant built into your calculator. If you use pi = 3.14 instead, then you'll get 2177.76 as the approximate answer. I think its better to use the more accurate version of pi. Of course, be sure to listen/follow your teachers instructions.

4 0
3 years ago
A system of equations is shown below:
user100 [1]
<span>3x − y = 2

y = 3x - 2

x + y = 6

x + 3x - 2 = 6

4x - 2 = 6

4x = 6 + 2

4x = 8

x = </span>\frac{8}{4}

x = 2

Hence, the x co-ordinate is 2.
5 0
3 years ago
Read 2 more answers
Adding and subtracing linear wxpressions 12(−4x+8)−14(8x−12)
Delicious77 [7]

Answer:

-160x+264

Step-by-step explanation:

-48+96x-112x+168

-160+264

3 0
3 years ago
Three brothers Charlie Robert and Nicholas have 21 video games Charlie has twice as many games as Robert. Robert has 5 fewer gam
AVprozaik [17]

Answer:

The equation would be 4x-15=21.

Step-by-step explanation:

Given;

Total Number of Video games = 21

Let the number of video game Nicholas has be 'x'.

Now Given:

Robert has 5 fewer games than Nicholas.

so we can say that;

number of video game Robert has = x-5

Also Given:

Charlie has twice as many games as Robert.

so we can say that;

number of video game Charlie has = 2(x-5)=2x-10

we need to write the equation.

Solution:

Now we can say that;

Total Number of Video games is equal to sum of number of video game Nicholas has, number of video game Robert has and number of video game Charlie has.

framing the equation we get;

x+x-5+2x-10=21\\\\4x-15=21

Hence The equation would be 4x-15=21.

On Solving we get;

Adding both side by 15 we get;

4x-15+15=21+15\\\\4x=36

Dividing both side by 4 we get;

\frac{3x}{4}=\frac{36}{4}\\\\x=9

Hence Nicholas has = 9 video games

Robert has = x-5= 9-5=4 video games

Charlie has = 2x-10 = 2\times9-10=18-10=8 video games

5 0
3 years ago
Read 2 more answers
Other questions:
  • Please help me for this question
    11·2 answers
  • What is the supplementary angle of 128.7 degrees
    8·1 answer
  • Complete the equation of the line through <br> (-8,8) and (1,-10).<br> use exact numbers <br> Y=
    15·2 answers
  • -
    5·1 answer
  • Can I get help with this problem?
    10·2 answers
  • Which statement below is incorrect? The mean is not affected by the existence of an outlier. The median is not affected by the e
    14·2 answers
  • Which polynomials are in standard form?
    7·1 answer
  • Solve the following system of equations y=3x^2+24+10<br> 3x + y = 10
    15·1 answer
  • NEED HELP! will give brainiest!!
    9·1 answer
  • Match each number with its estimated power of 10
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!