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
Gnom [1K]
2 years ago
9

Machine at a manufacturing plant can make 16 of item A per hour or 20 of item B per hour. The machine runs for 24 hours a day. Y

esterda
the machine made 434 total items. How many hours did item A run and how many hours did item B run on the machine?
Part A: Write a system of equations to represent this scenario.
write a system of equations to represent this scenario
Mathematics
1 answer:
irina [24]2 years ago
6 0

Answer:

A + B = 24

16A + 20B = 434

Step-by-step explanation:

To write a system of equations for this scenario, let's say that A represents the number of hours machine A ran, and B represents the number of hours machine B ran.

The first equation will be:

A + B = 24

because the total number of hours ran is 24.

The second equation will be:

16A + 20B = 434

because the total number of items made is 434.

A + B = 24

16A + 20B = 434

First solve for one variable, and let's just do A.

Using the first equation, A + B = 24, A is equal to 24 - B.

Substitute this value to the second equation.

16 (24 - B) + 20B = 434

384 - 16B + 20B = 434

4B = 50

B = 12.5

Now use this value of B to find the value of A.

A + 12.5 = 24

A = 11.5

Machine A ran for 11.5 hours, and Machine B ran for 12 hours.

You might be interested in
Evaluate g (c) = 4 - 3x when c = -3, 0, and 5
Lana71 [14]

Answer:

6.09

Step-by-step explanation:

multiplayer ok so that is how I did it ok

6 0
2 years ago
What is the answer to this problem?
Andrei [34K]

i think the best answer for this question is A)

5 0
3 years ago
Which ordered pair would form a proportional retationship with the points in the graph?
shtirl [24]

Answer:

(9, 6)

Step-by-step explanation:

the given points are

(3, 2)

(6, 4)

so, can you see, how the sequence continues ?

I see immediately that for every 3 additional units of x we add 2 units of y.

so, yes, the next point in the sequence is

(6 + 3, 4 + 2) = (9, 6).

so, this point (or ordered pair) follows the same ratio or proportional relationship between x and y as the points already in the graph.

in other words, they are on the same line following the same slope ("y coordinate change / x coordinate change" when going from one point on the line to another).

7 0
1 year ago
U need question problem 2 to solve problem 3
Sergio [31]

Answer:

You are correct

Step-by-step explanation:

Start with 1 1/2. This can be made into an improper fraction which is 3/2

Now multiply both top and bottom of 3/2 by 5

(3*5)/(2 * 5) = 15 / 10

16/10 is just slightly bigger than 15/10

3 0
3 years ago
Read 2 more answers
1/3 + a + 5/4. what is A
USPshnik [31]

Answer:

a = -1.58

Step-by-step explanation:

1/3 +a+5/4 =0

1/3+5/4= -a

4+15/12 = -a

19/12 = -a

1.58= -a

1.58/-1 = -a/-1

-1.58 = a

6 0
3 years ago
Other questions:
  • Nicole wants to know the height of a snow sculpture but it is too tall to measure. Nicole measured the shadow of the snow sculpt
    5·2 answers
  • Use the frequency distribution, which shows the number of American voters (in millions) according to age, to
    11·1 answer
  • The value of K is:
    7·1 answer
  • <img src="https://tex.z-dn.net/?f=%20%5Csqrt%5B6%5D%7Bx%20%7B%7D%5E%7B2%7Dy%20%7B%7D%5E%7B3%7D%20%20%7D%20" id="TexFormula1" tit
    7·1 answer
  • Find two consecutive whole numbers that square root113 lies between.
    5·1 answer
  • to rent a building for a school dance ava paid $120 plus $2.50 for each student who attended. If she paid a total cost of $325 h
    15·1 answer
  • (c^3b^1a^4)^4 + 3a^16b^4c^12
    6·1 answer
  • Someone help me out my grads are bad
    8·2 answers
  • Seth wants to take a journey on friday to the candy shop to purchase some sour patches. he has a piggy bank with 550 coins. 10%
    11·1 answer
  • Heidi’s older sister needs to take either Chemistry (C), Geometry (G), or Physics (P) this year. She can take the class during a
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!