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2 years ago

What is the number if 2/3 of 27 equal 25% of a number?

1 answer:

lina2011 [118]2 years ago

7 0

To solve this problem, we are going to set up an equation and let our unknown value be represented by the variable x. First, we must convert 25% into its decimal equivalent by dividing 25/100.

25/100 = 0.25

We should keep in mind that when we use the word “of” in math, it represents multiplication. This means that our equation should be set up with 2/3 multiplied by 27 on the left side equal to 0.25 times x on the right side, as modeled below:

(2/3)(27)=0.25x

To simplify this equation, we should perform the multiplication on the left side of the equation.

18 = 0.25x

Finally, we should divide both sides of the equation by 0.25 in order to isolate the variable x on the right side of the equation.

x = 72

Therefore, your answer and unknown number is 72.

Hope this helps!

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Jessica, Lauren and Kimmie were paid a total of $120 for babysitting in a ratio of 2:3:5. How much less did Jessica make than Ki

Tju [1.3M]

Answer:

Jessica makes $36 less than Kimmie

Step-by-step explanation:

Let

x -----> amount paid to Jessica

y ----> amount paid to Lauren

z ----> amount paid to Kimmie

we know that

$x+y+z=120$ ------> equation A

$\frac{x}{y}=\frac{2}{3}$

$x=\frac{2}{3}y$ -----> equation B

$\frac{y}{z}=\frac{3}{5}$

$z=\frac{5}{3}y$ -----> equation C

substitute equation B and equation C in equation A and solve for y

$\frac{2}{3}y+y+\frac{5}{3}y=120$

$\frac{10}{3}y=120$

$y=120(3)/10$

$y=36$

Find the value of x

$x=\frac{2}{3}(36)=24$

Find the value of z

$z=\frac{5}{3}(36)=60$

therefore

The amount paid to Jessica was $24

The amount paid to Lauren was $36

The amount paid to Kimmie was $60

To find out how much less Jessica did than Kimmie, subtract the amount paid to Jessica from the amount paid to Kimmie.

$\$60-\$24=\$36$

therefore

Jessica makes $36 less than Kimmie

7 0

2 years ago

Pls help Given: △ABC, CM⊥ AB, BC = 5, AB = 7 CA = 4 sqrt(2) Find: CM

babymother [125]

Answer:

The general plan is to find BM and from that CM. You need 2 equations to do that.

Step One

Set up the two equations.

(7 - BM)^2 + CM^2 = (4*sqrt(2) ) ^ 2 = 32

BM^2 + CM^2 = 5^2 = 25

Step Two

Subtract the two equations.

(7 - BM)^2 + CM^2 = 32

BM^2 + CM^2 = 25

(7 - BM)^2 - BM^2 = 7 (3)

Step three

Expand the left side of the new equation labeled (3)

49 - 14BM + BM^2 - BM^2 = 7

Step 4

Simplify And Solve

49 - 14BM = 7 Subtract 49 from both sides.

-49 - 14BM = 7 - 49

- 14BM = - 42 Divide by - 14

BM = -42 / - 14

BM = 3

Step Five

Find CM

CM^2 + BM^2 = 5^2

CM^2 + 3^2 = 5^2 Subtract 3^2 from both sides.

CM^2 = 25 - 9

CM^2 = 16 Take the square root of both sides.

sqrt(CM^2) = sqrt(16)

CM = 4 < Answer

Step-by-step explanation:

6 0

2 years ago

How do we use unit rate on every day life? What does unit rate show

NeTakaya

We use unit rate in every day life, for example, when comparing prices at stores. One store may offer five bowls for $7.99 and the other one bowl for $2.45.

5 0

3 years ago

There were 5 girls and 22 boys in math express the number of girls as a fraction of the number of boys then express the fraction

olasank [31]

5/22 is the fraction of girls to boys and as a decimal it is 2.3 rounded and not rounded is 2.27 repeated.

4 0

3 years ago

Justin bought a package of pens that contained one black one blue and one red pen he randomly pulled two pens out of the package

Nataly_w [17]

A:
black,blue
black,red
blue,red

B:
red,black
red,blue
red,green
black,blue
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3 years ago