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
oee [108]
1 year ago
14

I WILL MARK BRAINLIEST A bicycle manufacturing company makes a particular type of bike. Each child bike requires 4 hours to buil

d 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 20 child bikes and 6 adult bikes in a week.
Mathematics
1 answer:
Alona [7]1 year ago
4 0

Using a system of equations, it is found that since 20 child bikes and 6 adult bikes would require more testing than the allocated time, it is not possible to build this amount.

<h3>What is a system of equations?</h3>

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem, the variables are:

  • Variable c: number of child bikes.
  • Variable a: number of adult bikes.

Each child bike requires 4 hours to build, as do each adult bike. The company has 100 hours of testing, hence:

4c + 4a = 100.

c + a = 25.

With 20 child bikes and 6 adult bikes in a week, we have that c = 20, a = 26, hence:

c + a = 26

20 child bikes and 6 adult bikes would require more testing than the allocated time, it is not possible to build this amount.

More can be learned about a system of equations at brainly.com/question/24342899

#SPJ1

You might be interested in
Susie has 8/9 <br> cup of ice cream. How many 1/4<br> cup servings can she make?
trapecia [35]

Answer:8 cup servings. 1/4×8=8/4

Step-by-step explanation:

3 0
3 years ago
PLEASE HELP! What is the slope of the line that passes through the points below? (Enter your answer as a decimal if necessary.)
lozanna [386]

1

is the right answer.

because rise is 1 and run is 1 = 1/1 = 1

8 0
2 years ago
9. Find P(rolling 1 or 5) with one number cube.
marta [7]

Answer:

1/3

Step-by-step explanation:

There are 6 possible outcomes when rolling 1 die

1,2,3,4,5,6

P ( 1 or 5) = number of times 1 or 5 happens / total outcomes

               = 2/ 6

               = 1/3

6 0
3 years ago
-onsider x + 4 = x + 8. What values could be substituted for x to make this a true
devlian [24]

Answer:

No because upon subtracting x on both sides you obtain a false equation of 4=8.

The problem:

What are x values that satisfy:

x+4=x+8?

Step-by-step explanation:

No number can be substituted into x+4=x+8 to make it true.

There is no number that you can find such that when you add 4 to it will give you the same as adding 8 to it.

Also if you subtract x on both sides you obtain the equation 4=8.

4=8 is not true so x+4=x+8 is never true for any x.

7 0
3 years ago
How many liters each of a 35% acid solution and a 80% acid solution must be used to produce 60 liters of a 65% acid solution? (R
serg [7]

Solving a system of equations we will see that we need to use <u>40 liters of the 80% acid solution</u>, and the other <u>20 liters are of the 35% acid solution</u>.

<h3>How many liters of each solution do we need to use?</h3>

First, we need to define the variables:

  • x = liters of the 35% acid used.
  • y = liters of the 80% acid used.

We know that we want to produce 60 liters of 65% acid, then we have the system of equations:

x + y = 60

x*0.35 + y*0.80 = 60*0.65

(in the second equation we wrote the percentages in decimal form).

To solve this we need to isolate one of the variables in one equation and then replace it in other one, isolating x we get:

x = 60 - y

Replacing that in the other equation:

(60 - y)*0.35 + y*0.80 = 60*0.65

y*(0.80 - 0.35) = 60*(0.65 - 0.35)

y*0.45 = 60*0.30

y = 60*0.30/0.45 = 40

So we need to use <u>40 liters of the 80% acid solution</u>, and the other <u>20 liters are of the 35% acid solution</u>.

If you want to learn more about systems of equations:

brainly.com/question/13729904

#SPJ1

7 0
2 years ago
Other questions:
  • Evan bought 6 batteries that cost $10 each and 6 batteries that cost $4 each the total cost was the same as he would have spent
    6·1 answer
  • What is the answer to 4(t-2)=12 ?
    14·1 answer
  • What is the Y-Intercept of the line:<br> Y - 5 = x + 5
    13·1 answer
  • Evaluate (if possible) the sine, cosine, and tangent of the real number. (If not possible, enter IMPOSSIBLE.)
    5·1 answer
  • Write the equation of the line, in slope-intercept form, with the
    7·1 answer
  • I need help with this asap please
    13·1 answer
  • A 30oz bottle of sriracha is on sale<br> for $2.99. What is the price per<br> ounce?
    7·1 answer
  • How many solutions does the following equation have? − 4 ( x + 5 ) = − 4 x − 20 −4(x+5)=−4x−2
    11·1 answer
  • The vertices of AXYZ are X(-4, 7), Y(0, 8), and Z (2, -1).
    6·1 answer
  • (cot theta + cosec theta)/(cosec theta (1 + (cot theta/ cosec theta)).
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!