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lisabon 2012 [21]

3 years ago

11

Machine A produces 100 parts twice as fast as Machine B does. Machine B produces 100 parts in 40 minutes. If each machine produc

es parts at a constant rate, how many parts does Machine A produce in 6 minutes?

1 answer:

umka2103 [35]3 years ago

8 0

Answer:

30 parts

Step-by-step explanation:

We are given that machine produces 100 parts twice as fast as machine B does.

Machine produces 100 parts in 40 minutes.

We have to find number of parts produces by machine A in 6 minutes.

According to question

Machine A takes time to produce 100 parts = $\frac{40}{2}=20 minutes$

Machine A and machine B produces parts at constant rate.

Machine A produces parts at the rate= $\frac{100}{20}=5 parts /minute$

In one minute,Machine A produces =5 parts

In 6 minutes , machine B produces = $5\times 6=30$ parts

Hence, machine A produce parts in 6 minutes=30

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Given the following linear functio, determine the slope of a line parallel to f(x)

andrew11 [14]

Answer:

Option C is correct.

C. 4/3

Step-by-step explanation:

Given:

The given linear function of a line.

F(x)=4/3x+2

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Solution:

First we compare the given function of the line with standard form of a line. $y = mx + c$

Where m = slope of the line.

And c = y-intercept

So, the slope of the line $m=\frac{4}{3}$ and y-intercept $c=2$

We know that the slope of the parallel lines are same.

Therefore, the slope of a the parallel line $m=\frac{4}{3}$ .

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zhenek [66]

The given points

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$(0, 1)$

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3 years ago

Zoe has 5 pounds of potatoes. She has multiple recipes that require 3/4 pounds of potatoes. How many recipes will she be able to

7nadin3 [17]

To find the answer convert 5 into 5/1. To make it compatible with 3/4 you have to have the same denominator. So to make 5/1 compatible with x/4 you multiply both sides by 4, so it would be 20/4. And then to find how many recipes you can make you would multiply 3 to the highest number it can be that does not exceed 20. The closest 3 can get to 20 before exceeding it would be 6 times. 6/1x3/4 =18/4. So you could make 6 recipes and you would have 2 pounds of potatoes left.

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4 years ago

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The area of two similar triangles are 50dm^2 and 32dm^2. The sum of their perimeters is 117dm. What us the perimeters of each of

Kay [80]

Answer:

Perimeter of one triangle is 65 dm

Perimeter of other triangle is 52 dm

Step-by-step explanation:

Please remember the concept

If sides are in the ratio of a:b

Then the area in the ratio of $a^{2} :b^{2}$

It is given sum of their perimeter is 117.

Let the small triangle has perimeter as x.

So, perimeter of big triangle is 117-x.

So, we can set up equation as

$\frac{50}{32} =\frac{x^{2} }{(117-x)^{2} }$

Cross multiply

50(117-x)^2 =32x^2

Expand the left side

50 $(13689 -234x+x^{2} )$ = $32x^{2}$

Distribute the left side

684450-11700x+ $50x^{2}$ = $32x^{2}$

Subtract both sides $32x^{2}$ and rewrite it $18x^{2} -11700x+684450=0$

Solve this quadratic for x.

Divide both sides of the equation by 18 to simplify.

$x^{2}$ -650 x+38025=0

Now, if possible let's factor

Find two integers whose multiplication is 38025 but adds to -650.

-65 and -585 works.

So, we can rewrite it as

(x -65)(x-585) =0

Solve them using zero product property

x=65, x=585

So, x=65 works here.

So, perimeter of one triangle is 65 dm

Perimeter of other triangle is 117-65= 52 dm

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