MATHEMATICS HIGH SCHOOL

Find the unit rate for number of parts manufactured per hour if 1630 parts are made in 6 hours. Round to the nearest integer.291 parts/h
237 parts/h
325 parts/h
272 parts/h

Answers

Answer 1
Answer: Unit rate is defined as the amount of work done per unit time. In this case, the "work" refers to the amount of parts made. Unit time is then measured in hours. Since the given problem states the total number of parts manufactured and the total time of manufacturing, we simply have to divide the number of parts by the manufacturing time to obtain the unit rate. This is done as follows:

Unit rate = total number of parts manufactured / total manufacturing time
Unit rate = 1630 parts / 6 hours
Unit rate = 271.667 parts/h

Therefore the unit rate is approximately 272 parts/h.
Answer 2
Answer:

Answer:

Your answer is 272 parts/h.

Step-by-step explanation:

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Evaluate the following rational expression for x equals 7

Answers

it would be 7x hope this helps

Solve each system by any method you choose. Which is the x-value of the solution?7x + 4y + 7 = 2x + 6y + 5 + 4x

-2x + 7y -1 = 13y + 2 - 5x - 10

Answers

Okay, I have it, but it's gonna take a while to explain xD
Basically, they're simultaneous equations. I'll do it quickly so I don't have to type as much.
The first equation can be simplified to 3x+2y=2
The second would be 3x-6y=-7
So, you take them away from each other.

3x+2y=2 -
3x-6y=-7
= 8y=9
So y=1.125

Now you have the hard bit out of the way, you can work out x by putting y into one of the equations :)

3x+ (2X1.125) = 2
3x+2.25 = 2
3x = -0.25
So x = 0.08333... (Can't do a recurring sign on my phone xD)

What fraction of students wears black or white shoes? 1/2 wear black shoes and 2/5 wear white shoes

Answers

Answer:

Step-by-step explanation:

You want to add these two fraction together so they need to have the same denominator. Find the common denominator by multiplying both denominators

2x5=10

then convert the fractions

(1/2)x5=5/10

(2/5)x2=4/10

now you can add them

(5/10)+(4/10)=9/10

so 9/10 students wear black or white shoes

Turn this improper fraction to a mixed number: 236/4

Answers

236/4 = 59 evenly. You could put 58 1/1. Otherwise, this improper fraction doesn't need a mixed number 

What is the value of 36x - 8y to the power of 2, when x=3 and y= -6

Answers

36x-8y^2 \hbox{ when } x=3 \hbox{ and } y=-6 \n \n36 * 3 -8 * (-6)^2=3 * 36 - 8 * 36=(3-8) * 36= -5 * 36=\n =\boxed{-180}
(36x-8y)^(2)

[36(3)-8(-6)]^2

(108+48)^2

156 ^(2)

=24336

A savings account with compounded interest can be modeled by which type of graph

Answers

Answer: The answer is (C) Exponential.

Step-by-step explanation: We are to select out of the given options the type of graph that a savings account with compounded interest be modelled.

We know that compounding gives more interest because we are earning interest on interest, and not just on the principal.

The formula foe compound interest is given by

C.I.=P(1+(r)/(100))^n, where, 'P' is the principal, r is the rate of interest and 'n' is the number of years.

Therefore, we can see that the function is of exponential type.

If we draw the graph of compound interest earned every year with a particular rate of interest is of exponential type.

So, the correct option is (C) Exponential.
exponential since it it growing apon itself and the bigger it gets, the faster it grows
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