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
-Dominant- [34]
3 years ago
5

You and a partner tend 3 machines that run continuously. One prints 200 plastic bottles per hour, one prints 180 plastic bottles

per hour, and one prints 150 plastic bottles per hour. If the machines work at their average rates, how many plastic bottles will they print during the 8.5 hours you are at the factory for your shift?
Mathematics
2 answers:
strojnjashka [21]3 years ago
6 0
The first machine does 200 in 1 hour, so in 8.5 hours it will then do 200 * 8.5.

the second machine does 180 in 1 hour, so in 8.5 hours it will then do 180 * 8.5.

the third machine does 150 in 1 hour, so in 8.5 hours it will do then 150 * 8.5.

how many bottles will they all do in total on that time?

(200 * 8.5) + (180 * 8.5) + (150 * 8.5)
MAXImum [283]3 years ago
4 0

Answer:

4,505

Step-by-step explanation:

(200 * 8.5) + (180 * 8.5) + (150 * 8.5)

You might be interested in
Which best describes the figure that is represented by the following coordinates?
kolezko [41]

Answer: its square.

Step-by-step explanation:

7 0
3 years ago
The width of a piece of paper was 1/2. The area of the paper was 9/16. What was the length of the paper?
lutik1710 [3]

Answer:

Length = 1.5

Step-by-step explanation:

L = A divided by W

L = .75 divided by .5 = 1.5

7 0
3 years ago
∠E and ∠F are vertical angles with m∠E=8x+8 and m∠F=2x+38 .<br><br> What is the value of x?
Zigmanuir [339]
We know that ∠E = ∠F because of the vertical angle theorem.

Using substitution we get 8x + 8 = 2x + 38

Solve for x.

8x + 8 = 2x + 38
8x = 2x = 30 <-- Subtract 8 from each side
6x = 30 <-- Subtract 2x from each side
x = 5 <-- Divide both sides by 6

So, x is equal to 5.
3 0
3 years ago
Which expression can be used to check the answer to 56 divided by (negative 14) = n?
allochka39001 [22]
D because n= -14 and were dividing 56
3 0
3 years ago
Could someone help me rnnn?
GuDViN [60]

Answer:

vertex = (0, -4)

equation of the parabola:  y=3x^2-4

Step-by-step explanation:

Given:

  • y-intercept of parabola: -4
  • parabola passes through points: (-2, 8) and (1, -1)

Vertex form of a parabola:  y=a(x-h)^2+k

(where (h, k) is the vertex and a is some constant)

Substitute point (0, -4) into the equation:

\begin{aligned}\textsf{At}\:(0,-4) \implies a(0-h)^2+k &=-4\\ah^2+k &=-4\end{aligned}

Substitute point (-2, 8) and ah^2+k=-4 into the equation:

\begin{aligned}\textsf{At}\:(-2,8) \implies a(-2-h)^2+k &=8\\a(4+4h+h^2)+k &=8\\4a+4ah+ah^2+k &=8\\\implies 4a+4ah-4&=8\\4a(1+h)&=12\\a(1+h)&=3\end{aligned}

Substitute point (1, -1) and ah^2+k=-4 into the equation:

\begin{aligned}\textsf{At}\:(1.-1) \implies a(1-h)^2+k &=-1\\a(1-2h+h^2)+k &=-1\\a-2ah+ah^2+k &=-1\\\implies a-2ah-4&=-1\\a(1-2h)&=3\end{aligned}

Equate to find h:

\begin{aligned}\implies a(1+h) &=a(1-2h)\\1+h &=1-2h\\3h &=0\\h &=0\end{aligned}

Substitute found value of h into one of the equations to find a:

\begin{aligned}\implies a(1+0) &=3\\a &=3\end{aligned}

Substitute found values of h and a to find k:

\begin{aligned}\implies ah^2+k&=-4\\(3)(0)^2+k &=-4\\k &=-4\end{aligned}

Therefore, the equation of the parabola in vertex form is:

\implies y=3(x-0)^2-4=3x^2-4

So the vertex of the parabola is (0, -4)

5 0
2 years ago
Read 2 more answers
Other questions:
  • james buys a video game for his xbox for 49.99 a controller for 34.95 and a walk through manual for 19.99 the sales tax in his a
    10·1 answer
  • A rectangle has a perimeter of 43feet and width of 7 feet. Find the length
    8·2 answers
  • Using suitable identity find the value of
    5·1 answer
  • Colin meets three wooden boards to repair his porch.the length he needs are 2.2 meters,2.82 meters,and 4.25 meters.he purchases
    14·1 answer
  • Use the distributive property -7(-2x+u-2)
    6·2 answers
  • The cafeteria contributed for pies to the sale. Each pie was then cut into five pieces and sold. There were a total of 60 pieces
    13·2 answers
  • What is 400+5 in standard form
    10·2 answers
  • Family Flowers employs 17 people, of whom 14 earn gross pay of $660.00 each and 3 earn gross pay of $700.00 each on a weekly bas
    7·1 answer
  • Use A(-1, -2) and B(8,0) to find the length of AB. Round your answer<br> to the nearest hundredth.
    13·1 answer
  • PLEASE HELP ME!
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!