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scoray [572]
3 years ago
5

Are these ratios equivalent?

Mathematics
1 answer:
Mekhanik [1.2K]3 years ago
7 0
The first one YES and the last one NO!
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Using more advanced technology, a team of workers began to produce 6 more parts per hour than planned. As a result the team fulf
Aliun [14]

Answer: 10 parts per hour

Step-by-step explanation:

Let the team supposed to produce x parts per hour.

Thus, in 8 hour, the team supposed to produce = 8 x

Now, when company produce 6 more parts per hour than planned ,

Then the new parts per hour produced by company = x + 6

Thus, in 6 hour, the team supposed to produce = 6 ( x +6 )

According to the question,

As a result of new plan the team fulfilled 120% of an eight hours day work in six hours.

That is, \text{120\% of 8 x} = 6 ( x +6 )

⇒ \frac{120\times 8x}{100} = 6 x + 36

⇒ \frac{960x}{100} = 6 x + 36

⇒ 9.6 x = 6 x + 36

⇒ 9.6 x - 6 x = 36

⇒ 3.6 x = 36

⇒  x = 10

Thus, 10 parts per hour was the team supposed to produce according to the plan.

8 0
4 years ago
Factor Quadratics
miv72 [106K]

Answer:

Step-by-step explanation:

x^2 - 14x + 45

(x - 9)(x - 5)

8 0
3 years ago
The cost of 3 notebooks and 4 pencils is $8.50. Determine the cost of one notebook and one pencil
Assoli18 [71]
Call the notebooks x, and the pencils y. 
<span>3x + 4y = $8.50 and 5x + 8y = $14.50 </span>
<span>Then just solve as simultaneous equations: </span>
<span>3x + 4y = $8.50 </span>
<span>5x + 8y = $14.50 </span>

<span>5(3x + 4y = 8.5) </span>
<span>3(5x + 8y = 14.5) </span>

<span>15x + 20y = 42.5 </span>
<span>15x + 24y = 43.5 </span>

<span>Think: DASS (Different Add, Similar Subtract). 15x appears in both equations so subtract one equation from the other. Eassier to subtract (15x + 20y = 42.5) from (15x + 24y = 43.5) </span>

<span>(15x + 24y = 43.5) - (15x + 20y = 42.5) = (4y = 1) which means y = 0.25. </span>

<span>Then substitue into equation : </span>
<span>15x + 20y = 42.5 </span>
<span>15x + 5 + 42.5 </span>
<span>15x = 42.5 - 5 = 37.5 </span>
<span>15x = 37.5 </span>
<span>x = 2.5 </span>

<span>15x + 24y = 43.5 </span>
<span>15(2.5) + 24(0.25) </span>
<span>37.5 + 6 = 43.5 </span>

<span>So x (notebooks) are 2.5 ($2.50) each and y (pencils) are 0.25 ($0.25) each.</span>
6 0
3 years ago
I need help on this question, I have the image
agasfer [191]

Answer:

168

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Robin purchased 3 1⁄2 ounces of whole wheat cereal for $1.40. What is the cost per ounce?
Lunna [17]
The cost is $0.40 per ounce.
7 0
3 years ago
Read 2 more answers
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