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
STALIN [3.7K]
3 years ago
14

No, because the bike order does not meet the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100

Mathematics
2 answers:
Mariana [72]3 years ago
6 0
This is the question:

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 10 child bikes and 12 adult bikes in the week

 

Now you can state the system of inequalities from the statements

1) First inequality based on the hours availble to buiding


Each child bike requires 4 hours, e<span>ach adult bike requires 6 hours to build and </span>the company is able to have up to 120 hours of building =>


4c + 6a ≤ 120


2) Second inequality based of the hours available to testing.


Each child bike requires 4 hours to test, each adult bike 4 hours to test and the company is able to have up 100 hours of testing time for a week =>


4c + 4a ≤ 100

Then the two inequalities are:

4c + 6a ≤ 120
4c + 4a ≤ 100

<span>The answer is Yes, because the bike order meets the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100

Which you can verify by replacing in both equations 10 for c and 12 for a. Look:

1) 4(10) + 6(12) = 40 + 72 = 112 ≤ 120

2) 4(10) + 4(12) = 40 + 48 = 88 ≤ 100




</span>



exis [7]3 years ago
5 0

Answer:

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

Step-by-step explanation:

You might be interested in
WILL GIVE BRAINLIEST
padilas [110]
Okay so first do 2x3 which equals 6. then add 6 to 1 and you would get 7. so 7/2 is your answer!!

denominator- bottom half of a fraction ex. in the fraction 5/7 the bottom number (7) is the denominator

numerator- top half of a fraction ex. in 5/7 the top (5) is the numerator

whole number-a number without fractions ex. 7, 29, 18
8 0
2 years ago
Read 2 more answers
A = 1 , b =3.5 i need help quick
Alex Ar [27]

Answer:

please provide full question......

7 0
2 years ago
△MNP≅△QST.<br><br> What is m∠S?<br> Enter your answer in the box.
mezya [45]
Answer: 78



Step by step: congruent side
7 0
3 years ago
A farmer plans to fence a rectangular corral. The diagonal distance from one corner of the corral to the opposite corner is five
garik1379 [7]

Answer:

Length of diagonal is 7.3 yards.

Step-by-step explanation:

Given: The diagonal distance from one corner of the corral to the opposite corner is five yards longer than the width of the corral. The length of the corral is three times the width.

To find: The length of the diagonal of the corral.

Solution: Let the width of the rectangular garden be <em>x</em> yards.

So, the length of the diagonal is x+5

width of the rectangular corral is 3x

We know that the square of the diagonal is sum of the squares of the length and width.

So,

(3x)^{2} +x^{2} =(x+5)^{2}

9x^{2} +x^{2} =x^{2}+10x+25

9x^{2}-10x-25=0

9x^{2}-10x-25=0

x=\frac{-b\pm\sqrt{b^{2} -4ac} }{2a}

x=\frac{10\pm\sqrt{(-10)^{2} -4(9)(-25)} }{2(9)}

x=\frac{10\pm\sqrt{100}}{18}

Since, side can't be negative.

x=\frac{5}{9}+\frac{5}{9}\sqrt{10}

Now, length of the diagonal is

5+\frac{5}{9}+\frac{5}{9}\sqrt{10}

Hence, length of diagonal is 7.3 yards.

4 0
3 years ago
Kate plays on her schools basketball team last season she made 70% of her 50 free throw attempts how is 70% expressed as a fract
Ostrovityanka [42]

Answer:

D

Step-by-step explanation:

70% as a fraction is 70/100

8 0
3 years ago
Read 2 more answers
Other questions:
  • At Harriet Tubman middle school, there are 85 students in the 7th grade . The number of girls is 1 1/2 times the number of boys.
    15·1 answer
  • If John is driving 70 mi/hr and Jim is driving 50 ft/min, who is driving faster?
    14·1 answer
  • A salesperson earns $200 a week plus a 4% commission on her sales. Which equation models the relationship between her sales in a
    9·2 answers
  • Two number cubes whose sides are numbered 1 through 6 are rolled on a table. The two numbers showing are added. If you repeat th
    7·2 answers
  • Choose the right answer. Two hundred fifty tickets are sold at a church fund raiser. If Sarah buys 15 tickets, the probability t
    15·2 answers
  • John's age is 2 years more than twice as old as Mary. The sum of their ages is 32. How old is each? (pls include equation and so
    10·2 answers
  • Which expression is equivalent to 64 − 9x2?
    7·1 answer
  • The line y = mx + c passes through the points (-2, 1) and (4,4).
    9·2 answers
  • Josh brought 4 small spinach pies to his baseball team
    5·1 answer
  • 20. Sketch the level curve of the function f(x, y) that contains the point (5,0).
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!