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Bas_tet [7]
2 years ago
7

Dwayne starts assembling marketing packets at 11 a.m. Ashlie starts assembling marketing packets at 11:30 a.m. and assembles at

a rate of 90 packages per hour. By 2 p.m. Ashlie and Dwayne have assembled the same number of packets. How many packets per hour is Dwayne assembling?a. 75b. 60c. 90d. 45
Mathematics
1 answer:
musickatia [10]2 years ago
4 0

Answer:

Option A = 75 is the best option

Step-by-step explanation:

It took Ashlie 2.5 hours (11:30 am - 2pm) to assemble the marketing packets

Rate = Number of jobs done/Time taken = 90 packages/hr

Number of jobs done = Rate * Time taken = 90 * 2.5 = 225 packages.

Dwayne has assembled the same number of packages = 225 (as reported in the question),

It took Ashlie 2.5 hours (11 am - 2pm)

Then, his work rate is calculated as:  Number of jobs done/Time taken = 225 packages/3 hours = 75

Thus, option A = 75 is the best option

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4 0
3 years ago
Pls help me asapppp.
GrogVix [38]

Answer:

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Step-by-step explanation:

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3 0
2 years ago
1. The position of a particle moving along a coordinate axis is given by: s(t) = t^2 - 5t + 1. a) Find the speed of the particle
zimovet [89]

Answer: \left |  2t-5\right |,\ 2,\ 2t-5

Step-by-step explanation:

Given

Position of the particle moving along the coordinate axis is given by

s(t)=t^2-5t+1

Speed of the particle is given by

\Rightarrow v=\dfrac{ds}{dt}\\\\\Rightarrow v=\dfrac{d(t^2-5t+1)}{dt}\\\\\Rightarrow v=\left |  2t-5\right |

Acceleration of the particle is

\Rightarrow a=\dfrac{dv}{dt}\\\\\Rightarrow a=2

velocity can be negative, but speed cannot

\Rightarrow v=\dfrac{ds}{dt}\\\\\Rightarrow v=\dfrac{d(t^2-5t+1)}{dt}\\\\\Rightarrow v=2t-5

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3 years ago
Which description best compares the graphs given by the equations:
nexus9112 [7]

x - 5y = -5, -5x - 25y = 25

First, you'll need to get the x variable by itself.

x - 5y = -5<u>
</u><u>    +5    +5</u><u>
</u>       x = 0
So x is plotted on the 0.

For the second part of the first equation, you'll be looking for what the y variable represents.

x - 5y = -5
<u>-x           -x</u><u>
</u>     <u>-5y</u> = <u>-5</u><u>
</u><u>       5      5</u><u>
</u>        y = 1
So y is plotted on the 1 on the vertical line above the 0.

For the first part of the second equation, you'll do the same thing as in the first equation.

-5x - 25y = 25
<u>        +25   +25</u><u>
</u>          <u>-5x</u> = <u>50</u><u>
</u>            5      5
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So the x for this equation is plotted on 10 on the horizontal line.

For the second part of the second equation, you will do the same thing as in the first equation.

-5x - 25y = 25
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</u>       <u>-25y</u> = <u>30</u><u>
</u>        25      25
           y = 1.2
So the y for the second half of the second question is plotted on 1.2 on the vertical line.

<h2>Answer: B) Perpendicular</h2>

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Parallel means the lines may or may not be of equal length but will be perfectly in line with each other.

Intersecting means the lines may or may not be of equal length but will touch each other.

6 0
2 years ago
Please look at the picture. I answered b but it was incorrect. <br> Please help.
LuckyWell [14K]

9514 1404 393

Answer:

  d.  14 -3x

Step-by-step explanation:

If you want to substitute for y in the second equation, you must use the first equation to find an expression for y.

  3x +y = 14 . . . . . . first equation

  y = 14 -3x . . . . . .  subtract 3x from both sides

This gives you the expression for y that you want to use for substitution. It matches the expression of choice D.

  y = 14 -3x . . . . matches D

6 0
3 years ago
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