How do I solve this

Supposed charity received a donation of $23.9 million. If this represents 54% of the charity donated funds what is the total amo

Tanzania [10]

Total amount of funds is $44.26 million.

Step-by-step explanation:

Given,

Donation received = $23.9 million

As it represents 54% of charity.

Let,

Total amount = x

Therefore,

54% of x = 23.9 million

$\frac{54}{100}*x=23.9\\0.54x=23.9$

Dividing both sides by 0.54

$\frac{0.54x}{0.54}=\frac{23.9}{0.54}\\x=\$44.26\ millions$

Total amount of funds is $44.26 million.

Keywords: percentage, division

Learn more about percentages at:

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8 0

3 years ago

The daily temperatures in Fahrenheit in January for 10 selected cities are

irga5000 [103]

The set that is more variable is the daily temperature as they won't be clustered but rather spread out.

<h3>How to know the set that's more variable?</h3>

The mean of the temperature will be:

= (51 + 37 + 53 + 27 + 91 + 50 + 50 + 83 + 83 + 90)/10

= 615/10

= 61.5

The mean of the precipitation will be:

= (4.5 + 3.8 + 1.4 + 2.4 + 2.8 + 4.6 + 4.7 + 2.3 + 1.5)/10

= 28/10

= 2.8

Learn more about variables on:

brainly.com/question/2804470

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6 0

2 years ago

What is 3x + 2x simplified

Reptile [31]

Answer:

5x

Step-by-step explanation:

since they are under the same term they can be added to each other

6 0

3 years ago

Read 2 more answers

Which of the following expressions is equal to 2x^(2)+8?

Rina8888 [55]

Answer:

The expression equal to 2x^(2)+8 is:

First option (2x-4i)(x+2i)

Step-by-step explanation:

If we multiply

(2x-4i)(x+2i)=(2x)(x)+(2x)(2i)-(4i)(x)-4i(2i)

(2x-4i)(x+2i)=2x^(1+1)+4xi-4xi-8i^(1+1)

Simplifying:

(2x-4i)(x+2i)=2x^2-8i^2

and i^2=-1, then:

(2x-4i)(x+2i)=2x^2-8(-1)

Multiplying:

(2x-4i)(x+2i)=2x^2+8

4 0

3 years ago

Which expression is a difference of cubes? 9w^33-y^12 18p^15-q^21 36a^22-b^16 64c^15- a^26

LiRa [457]

we know that

A polynomial in the form $a^{3}-b^{3}$ is called adifference of cubes. Both terms must be a perfect cubes

Let's verify each case to determine the solution to the problem

case A) $9w^{33} -y^{12}$

we know that

$9=3^{2}$ ------> the term is not a perfect cube

$w^{33}=(w^{11})^{3}$ ------> the term is a perfect cube

$y^{12}=(y^{4})^{3}$ ------> the term is a perfect cube

therefore

The expression $9w^{33} -y^{12}$ is not a difference of cubes because the term $9$ is not a perfect cube

case B) $18p^{15} -q^{21}$

we know that

$18=2*3^{2}$ ------> the term is not a perfect cube

$p^{15}=(p^{5})^{3}$ ------> the term is a perfect cube

$q^{21}=(q^{7})^{3}$ ------> the term is a perfect cube

therefore

The expression $18p^{15} -q^{21}$ is not a difference of cubes because the term $18$ is not a perfect cube

case C) $36a^{22} -b^{16}$

we know that

$36=2^{2}*3^{2}$ ------> the term is not a perfect cube

$a^{22}$ ------> the term is not a perfect cube

$b^{16}$ ------> the term is not a perfect cube

therefore

The expression $36a^{22} -b^{16}$ is not a difference of cubes because all terms are not perfect cubes

case D) $64c^{15} -a^{26}$

we know that

$64=2^{6}=(2^{2})^{3}$ ------> the term is a perfect cube

$c^{15}=(c^{5})^{3}$ ------> the term is a perfect cube

$a^{26}$ ------> the term is not a perfect cube

therefore

The expression $64c^{15} -a^{26}$ is not a difference of cubes because the term $a^{26}$ is not a perfect cube

I'm adding a new case so I can better explain the problem

case E) $64c^{15} -d^{27}$

we know that

$64=2^{6}=(2^{2})^{3}$ ------> the term is a perfect cube

$c^{15}=(c^{5})^{3}$ ------> the term is a perfect cube

$d^{27}=(d^{9})^{3}$ ------> the term is a perfect cube

Substitute

$64c^{15} -d^{27}=((2^{2})(c^{5}))^{3}-(d^{9})^{3}$

therefore

The expression $64c^{15} -d^{27}$ is a difference of cubes because all terms are perfect cubes

5 0

3 years ago

Read 2 more answers