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3 years ago

8

Nicole’s friend runs 3/8 of a mile, but her distance is only 3/5 of Nicole’s distance. How far does Nicole run?

1 answer:

salantis [7]3 years ago

4 0

Step-by-step explanation:

<h3><u>Required Answer</u><u>:</u><u>-</u></h3>

Let distance travelled by Nichol =x

<h2>ATQ</h2>

${:}\longrightarrow$ $\sf {\dfrac {3}{5}}\times x={\dfrac {3}{8}}$

${:}\longrightarrow$ $\sf {\dfrac {3x}{5}}={\dfrac {3}{8}}$

${:}\longrightarrow$ $\sf 8 (3x)=5×3$

${:}\longrightarrow$ $\sf 24x=15$

${:}\longrightarrow$ $\sf x={\dfrac{24}{15}}$

${:}\longrightarrow$ $\sf x=1.6$

$\therefore$ Nichol runs 1.6miles .

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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

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

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

$y=120(3)/10$

$y=36$

<em>Find the value of x</em>

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

<em>Find the value of z</em>

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

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

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3 years ago

I need to know what 2 numbers go in here to equal 20

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4 and 2

Step-by-step explanation:

4x4+2x2

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2 years ago

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Answer:

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Step-by-step explanation:

Data provided in the question

f(x) = e^2x - 4

Now

to find the inverse let

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y = e^2x - 4

Now

Replace x and y

Therefore

x = e^2y - 4

Now compute the value of y

So,

x + 4 = e^2y

Now take ln on both sides:

The equation is

ln(x+4) = ln(e^2y)

ln(x+4) = 2y

y = ln(x+4) ÷ 2

$f^{-1}(x)= \frac{ln\ x+4}{2}$

Therefore, To determine the inverse of the given function, change f(x) to y, switch x and y and solve for y and $f^{-1}(x)= \frac{ln\ x+4}{2}$

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3 years ago

Find the area of the rectangle to the right.

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Answer:

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2 years ago

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Answer:

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Step-by-step explanation:

Part A) Find the length of the rectangle

we know that

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we know that

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substitute the value of L

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Part C) Find how many cm greater the rectangle's perimeter than the square's perimeter if x=4

<u>Find the value of rectangle's perimeter</u>

$P=8x\ cm$ ------> $P=8(4)=32\ cm$

<u>Find the value of square's perimeter</u>

$P=3x\ cm$ ------> $P=3(4)=12\ cm$

<u>Find the difference</u>

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Part D) Find how many square cm greater the rectangle's area is than the square's area if x=4

<u>Find the value of rectangle's area</u>

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<u>Find the value of square's area</u>

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<u>Find the difference</u>

$48\ cm^{2}-9\ cm^{2}=39\ cm^{2}$

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3 years ago