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
zvonat [6]
3 years ago
12

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, determine which system of inequality best explains whether the company can build 5 child bikes and 15 adult bikes in the week.
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
Mathematics
1 answer:
ivanzaharov [21]3 years ago
4 0

Answer:

Yes, because the bike order meets the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100

Step-by-step explanation:

4c + 6a ≤ 120:

You can set up the inequality 4c + 6a ≤ 120, because it takes 4 hours to build per child bike (c) and 6 hours to build an adult bike (a), all together this time cannot surpass 120 hours. That is why you use the 'less than or equal to' sign.

4c + 4a ≤ 100:

You can then set up the inequality 4c + 4a ≤ 100, because it takes 4 hours to test a child bike (c) and 4 hours to test an adult bike (a). Since 100 hours is the max amount of time they can use to test out bikes, you will use the 'less than or equal to' sign.

4(5) + 6(15) = 20 + 90 = 110. 110 is less than 120

4(5) + 4(15) = 20 + 60 = 80. 80 is less than 100

Yes, because the bike order meets the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100

You might be interested in
Measure of angle Q is 70 degrees. Find the measure of angle P.
Allushta [10]

Answer:

40 degrees

Step-by-step explanation:

6 0
2 years ago
Can you guys tell me what does C , A, and B equal
irakobra [83]

you will need to use the law of cosines since this picture does not indicate that this is a right triangle

c^2 = a^2 + b^2 – 2ab cos C,

16^2 = 17^2+8^2 -2*17*8*cosC

256=289-272cosC

-33=-272cosC

33/272 = cosC

cos^-1 (33/272)=C  taking the inverse cos

C=83.0  (to the nearest tenth)

b^2 = a^2 + c^2 – 2ac cos B,

8^2 = 17^2 +16^2 -2*17*16cosB

64=289-544cosB

-225=-544cosB

225/544=cosB

cos^(-1) =B

B=65.5

A=180-83-65.6

A=31.4

4 0
3 years ago
What is the answer to y=1/2x=2=x-1
Alborosie

Answer:

264647401977373+3637397374+739-739376536372801826464783920182773636373+7373839292901-278282

4 0
3 years ago
Which number is a composite number?<br> A:17<br> B:37<br> C:13<br> D:63
tankabanditka [31]

Answer:

D. 63

Step-by-step explanation:

It has more than two factors. (composite)

7 0
3 years ago
Read 2 more answers
What is true about the value of |-14|
lesya [120]
<span>The is true about the value of absolute |-14| = 14</span>
5 0
3 years ago
Read 2 more answers
Other questions:
  • If you flip a coin twice, what is the probability that you will get heads one time and tails one time?
    6·1 answer
  • Which equation below gives an incorrect value for the function k(x) = 512x?
    9·1 answer
  • Sprout problem: California farmer of sprouts deals mainly with alfalfa sprouts and brussels sprouts. He has hired you to optimiz
    10·1 answer
  • Jynessa wants to order these fractions 4/9, 2/3, 1/6, -2 1/2 what should she use as her common denominator?
    11·1 answer
  • Which sides of the isosceles triangle are the legs?
    9·2 answers
  • 33 = -u/4<br><br> please help me i really confused......
    6·1 answer
  • Are two line segments always similar
    9·2 answers
  • the relay race is just over one mile long approximately yards. if jack and 4 other people each run a leg of the relay, how many
    13·1 answer
  • It cost 60$ to for 4 apples how much would 60 apples cost
    13·2 answers
  • Answer the Question below Please
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!