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3 years ago

8

Frank can buy red pens in boxes of 8 and blue pens in boxes of 10. He wants the same number of red pens as blue pens. Fill in th

e least
number of pens of each color Frank must buy to have an equal number of each color
pens

1 answer:

Anarel [89]3 years ago

8 0

Answer:

Frank must buy 2 pens to have equal number of each pens

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A scientist has a container of 2% acid solution and a container of 5% acid solution. How many fluid ounces of each concentration

algol [13]

Let 'a' be the number of ounces of 2%-solution in the 25-ounce mixture

and 'b' be the number of ounces of 5%-solution in the 25-ounce mixture.

Since, fluid ounces of each concentration should be combined to make 25 fl oz.

So, a+b=25 (Equation 1)

And, a container of 2% acid solution and a container of 5% acid solution should be combined to make 25 fl oz of 3.2% acid solution.

So, a of 2% + b of 5% = 3.2% of 25

$(a \times \frac{2}{100})+(b \times \frac{5}{100})= 25 \times \frac{3.2}{100}$

$(0.02a)+(0.05b)= 0.8$

Multiplying the above equation by 100, we get

$2a+5b=80$ (Equation 2)

Substituting the value of a=25-b in equation 2, we get

$2(25-b)+5b=80$

$50-2b+5b=80$

$50+3b=80$

$3b=30$

$b=10$

Since, a=25-b

a= 25-10

a=15.

So, 15 fluid ounces of 2% solution combined with 10 ounces of the 5% solution to create a 25-ounce mixture at 3.2% concentration of acid.

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3 years ago

Anyone good with math??

-Dominant- [34]

Yup! We're all pretty good here.

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3 years ago

Choose whether each decimal terminates or repeats.

Maurinko [17]

Answer:

Step-by-step explanation:

3.232323-repeats

1.789-terminates

0.99-repeats

6.25-terminates

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3 years ago

Read 2 more answers

Use the following scenario to answer the question below:

Stolb23 [73]

The bigger engine is about 235.5 cubic centimeters larger than the smaller engine.

We need the answer in cubic centimeters. So let's convert 350 cubic inches to cubic centimeters. We will do it unit conversion way (the long way).

We will write cubic inches as three inches side-by-side

350 in^3

<h3>What is the ratio of the centimeter?</h3>

This way, we can multiply this by the ratio of centimeters to inches [2.54 cm = 1 inch], so that the units cancel and we have cubic centimeters (what we desire).

350 in^3*3.54cm/1in*3.54cm/1in*3.54cm/1in

So, we can cancel the three inches top and bottom thus we have the answer in centimeters cubed. And the value is

350 in^3*3.54cm/1in*3.54cm/1in*3.54cm/1in.

350 in^3*3.54cm/1in*3.54cm/1in*3.54cm/1in=5735.47.

So 350 cubic inches is approximately 5735.5 cubic centimeters (rounded to 1 decimal place).

This is larger than a 5500 cubic centimeters engine.

5735.5-5500=235.5cubic centimeters.

The bigger engine is about 235.5 cubic centimeters larger than the smaller engine.

To learn more about the significant figures visit:

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2 years ago

A delivery person has two different delivery routes that he follows. The first route is 20.75 miles long and the second is 33.25

nata0808 [166]

Answer:

He travelled: 1728 miles

Step-by-step explanation:

20.75 * 4 = 83 (Route A miles a week)

33.25 * 4 = 133 (Route B miles a week)

83 + 133 = 216 (Route A + Route B)

216 * 8 = 1728

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3 years ago