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3 years ago

In a box of 720 pens,40% of the pens are blue. how many blue pens are there in the box?

Mathematics

2 answers:

dybincka [34]3 years ago

8 0

Answer:

$\huge{ \fbox{ \sf{288}}}$

Step-by-step explanation:

$\star{ \text{ \: Given \: : }}$

$\hookrightarrow{ \sf{Total \: number \: of \: pens \: = \: 720}}$

$\hookrightarrow{ \sf{Percentage \: of \: pens \: that \: are \: blue \: in \: colour \: : 40\% \: }}$

$\star{ \text{ \: To \: find \: \sf: Total \: number \: of \: blue \: pens}}$

$\mathfrak{Let's \: solve} :$

$\mapsto{ \sf{ \:40 \: \% \: of \: 720}}$

$\text{Step \: 1 \: : }$ Convert percentage into fraction.

To convert the percent into a fraction, divide it by 100 and remove the % symbol.

$\mapsto{ \sf{ \frac{40}{100} \times 720}}$

$\text{Step \: 2 \: : }$ Multiply

To multiply one fraction by another, multiply the numerators for the numerator , and multiply the denominators for its denominator and reduce the fraction obtained after multiplication into lowest term.

$\mapsto{ \sf{ \frac{40 \times 720}{100} }}$

$\mapsto{ \sf{ \frac{28800}{100} }}$

$\mapsto{ \sf{ \frac{288 \cancel{00} }{1 \cancel{00}} }}$

$\mapsto{ \sf{288}}$

There are 288 blue pens in the box.

Hope I helped!

Best regards! :D

~ $\sf{TheAnimeGirl}$

romanna [79]3 years ago

4 0

Answer:

blue pens=288

Step-by-step explanation:

blue pens=720×40%

blue pens=720×40/100

blue pens=288

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3 years ago

Select the correct answer. Which expression is equivalent to 8x^2^3 sqrt 375x + 2^3 sqrt 3x^7, if x=0?

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Answer:

$(8x^3)^ \frac{2}{3} \sqrt{75x^3} + 2^3 \sqrt{ 3x^7} =28x^3\sqrt{3x}$

Step-by-step explanation:

The question is poorly formatted. The original question is:

$(8x^3)^ \frac{2}{3} \sqrt{75x^3} + 2^3 \sqrt{ 3x^7$

We have:

$(8x^3)^ \frac{2}{3} \sqrt{75x^3} + 2^3 \sqrt{ 3x^7$

Open bracket

$(8x^3)^ \frac{2}{3} \sqrt{75x^3} + 2^3 \sqrt{ 3x^7} =(8^ \frac{2}{3} *x^{3* \frac{2}{3}}) \sqrt{75x^3} + 2^3 \sqrt{ 3x^7}$

$(8x^3)^ \frac{2}{3} \sqrt{75x^3} + 2^3 \sqrt{ 3x^7} =(8^ \frac{2}{3} *x^2) \sqrt{75x^3} + 2^3 \sqrt{ 3x^7}$

Express 8 as 2^3

$(8x^3)^ \frac{2}{3} \sqrt{75x^3} + 2^3 \sqrt{ 3x^7} =(2^{3* \frac{2}{3}} *x^2) \sqrt{75x^3} + 2^3 \sqrt{ 3x^7}$

$(8x^3)^ \frac{2}{3} \sqrt{75x^3} + 2^3 \sqrt{ 3x^7} =(2^2 *x^2) \sqrt{75x^3} + 2^3 \sqrt{ 3x^7}$

$(8x^3)^ \frac{2}{3} \sqrt{75x^3} + 2^3 \sqrt{ 3x^7} =4x^2 \sqrt{75x^3} + 2^3 \sqrt{ 3x^7}$

Express 2^3 as 8

$(8x^3)^ \frac{2}{3} \sqrt{75x^3} + 2^3 \sqrt{ 3x^7}=4x^2 \sqrt{75x^3} + 8\sqrt{ 3x^7}$

Expand each exponent

$(8x^3)^ \frac{2}{3} \sqrt{75x^3} + 2^3 \sqrt{ 3x^7}=4x^2 \sqrt{25x^2 *3x} + 8\sqrt{ 3x * x^6}$

Split

$(8x^3)^ \frac{2}{3} \sqrt{75x^3} + 2^3 \sqrt{ 3x^7}=4x^2 \sqrt{25x^2} *\sqrt{3x} + 8\sqrt{3x} * \sqrt{x^6}$

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Factorize

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Answer:

(A)

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(B)

$m=200$

(C)

$P=200t+900$

(D)

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Step-by-step explanation:

Let's assume time starts since 2009

so, In 2009 , t=0

P=900

In 2012,

t=2012-2009=3

P=1500

(A)

So, we have points as

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$(t_1,P_1)=(3,1500)$

(B)

we can use slope formula

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we know that

slope is rate of change of P with respect to time

so, slope means increase in population is 200 per year

(C)

we can use point slope form of line

$y-y_1=m(x-x_1)$

$m=200$

$(t_0,P_0)=(0,900)$

$P-900=200(t-0)$

$P=200t+900$

(D)

In 2017 ,

t=2017-2009=8

we can plug t=8

and we get

$P=200(8)+900$

$P=2500$

The high school's enrollment in 2017 is 2500

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3 years ago

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Answer:

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Step-by-step explanation:

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