A bicycle manufacturing company makes a particular type of bike. Each child bike requires 4 hours to build and 4 hours to test. Each adult bike requires 6 hours to build and 4 hours to test. With the number of workers, the company is able to have up to 120 hours of building time and 100 hours of testing time for a week. If c represents child bikes and a represents adult bikes, can the company build 5 child bikes and 15 adult bikes in a week? (1 point)
No, because the bike order does not meet the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100
No, because the bike order does not meet the restrictions of 4c + 4a ≤ 120 and 6c + 4a ≤ 100
Yes, because the bike order meets the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100
Yes, because the bike order meets the restrictions of 4c + 4a ≤ 120 and 6c + 4a ≤ 100

The company can build 5 child bikes and 15 adult bikes in a week.

The answer is "Yes because the bike order meets the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100".

Linear Equations are mathematical statements, which can be used to find an unknown quantity or any value in a given problem. Here we use variables like x, y .. etc. to represent unknown values.

Here we will use Linear Equations to solve the equations.

Here we have

One child bike requires 4 hours to build and 4 hours to test  

Number of hours to build 'c' number of child bikes = 4c

Number of hours to test 'c' number of child bikes = 4c

One adult bike requires 6 hours to build and 4 hours to test.

Number of hours to build 'a' number of adult bikes = 6a

Number of hours to test 'a' number of adult bikes = 4a  

Number of hours taken to build bikes in one week = 120

=> 4c + 6a ≤ 120  --- (1)

Number of hours taken to test the bikes in one week = 100  

=> 4c + 4a ≤ 100 --- (2)  

Assume that

The company can build 5 child bikes and 15 adult bikes in a week

Substitute c = 5 and a = 15 in (1) and (2)

(1) => 4(5) + 6(15) ≤ 120

=> 110 ≤ 120   [ which can be true ]

(2) => 4(5) + 4(15) ≤ 100

=> 80 ≤ 100  [ which can be true ]  

From the above calculations,

Both (1) and (2) are satisfied

Therefore,

The company can build 5 child bikes and 15 adult bikes in a week.

The answer is "Yes because the bike order meets the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100".

Learn more about Linear Equations at

https://brainly.com/question/27664510

#SPJ1

Point L is located at (-3,-6) where is L after a reflection over the y-axis

15.000 at 9 percent interest

Here is an expression:3.2t solve the equation when t=4

what is the value of A when we rewrite (32/5)^-2x as A^x​

Can someone please help me I will give you brainleist but please don’t put no links

A jet flies at an altitude of 43,280 feet. What is the height of the jet in miles?

5 (y+2/5)= -13 what is y with explanation

You walk into a store that is closing. The pants normally cost $60.00 but it is discounted 75%. They are also taking an additional 20% off. What is the final price that you pay for the pants? dollars and cents. For example 19 dollars and 25 cents would be written as $19.25​

Pls help it is khan academy :)

solve for x in the diagram below

Neil swam 4 2/3 lengths of the pool. Mia swam 6 1/2 lengths of the pool. How many more lengths did Mia swim than Neil

How many plants spaced every 6" are needed to surround a circular walkway with a 25' radius

Decrease 48 by 75% answer please

Find the area of the parallelogram

What is the the length of each chord ?

The diameter of a cylindrical water tank is 10 ft, and its height is 11 ft. What is the volume of the tank?

If the Volume of a Cylinder is 287 and the radius is 5, what is the height "h"?
Round your answer to the nearest tenth if needed.

What are the solutions of the equation 9x4 - 2x2 - 7 = 0? Use u substitution to solve.

a car company uae the symbol shown below for their logo. if the inside space of the logo is a rhombus,what is the length of FJ?​

A lock consists of 2 dials, where each dial has 6 letters. What is the probability of guessing the right combination in one try?

help...........................

5 Solve the equation sin 2x = 2 cos 2x, for 0°<x< 180°​

Mrs. Ballesteros students raised $300, Mrs. Garcia's
students raised $210, and Ms. Ramirez students raised
$180. What is the mean, or average, amount of money
raised by the English students?

1. Determine the more basic function that has been shifted reflected stretched or compressed.
2. Graph the given function by indicating how the more basic function has been shifted reflected stretched or compressed
[tex] m(x)- 2\sqrt[3]{x } - 4[/tex]
​

Kyle fills the candle mold with liquid candle wax. If
the candle has a volume of 99 cubic inches, what is the
width of the mold?

Three percent of the students at Midwood High School are left-handed. There are 700 students at Midwood High School. How many students at Midwood High School are left-handed?
A.21 students
B.210 students
C.140 students
D.12 students

A teacher chooses a student at random from a class of 25 boys. Which BEST describes the probability that the student chosen is a boy?
A) impossible
B) unlikely
C) likely
D) certain

Which graph represents this system? y=5x+3 3 y=zx-1​

Help. Lol 6th grade math.

This data shows the number of sit-ups done by 27 students in a gym class.
58 62 49 52 75 86 88 54 56 61 85 48 77 60
47 58 62 73 78 69 65 84 59 67 53 84 50
Which histogram represents the data?