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NISA [10]
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?

Mathematics
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

7 0
3 years ago
I need to know what 2 numbers go in here to equal 20​
mr Goodwill [35]

Answer:

4 and 2

Step-by-step explanation:

4x4+2x2

16+4=20

3 0
2 years ago
Read 2 more answers
Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s). Consider the gi
STatiana [176]

Answer:

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}

Step-by-step explanation:

Data provided in the question

f(x) = e^2x - 4

Now

to find the inverse let

So,

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}

5 0
3 years ago
Find the area of the rectangle to the right.
Ira Lisetskai [31]

Answer:

48 because length times width.

5 0
2 years ago
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A rectangle has a width of x centimeters and a perimeter of 8x centimeters a square has sides of length 1/4 that of the length o
Amanda [17]

Answer:

Part A) The length of rectangle is 3x\ cm

Part B) The perimeter of the square is 3x\ cm

Part C) 20\ cm

Part D) 39\ cm^{2}

Step-by-step explanation:

Part A) Find the length of the rectangle

we know that

The perimeter of rectangle is equal to

P=2(L+W)

we have

P=8x\ cm

W=x\ cm

substitute and solve for L

8x=2(L+x)

4x=(L+x)

L=4x-x=3x\ cm

Part B) Find the perimeter of the square

we know that

The perimeter of a square is

P=4b

we have that

b=(1/4)L

substitute the value of L

b=(1/4)3x=(3/4)x\ cm

Find the perimeter of the square

P=4(3/4)x=3x\ cm

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>

32\ cm-12\ cm=20\ cm

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>

A=(3x)(x)=3x^{2}\ cm^{2} ------> A=3(4^{2})=48\ cm^{2}

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

A=((3/4)x)^{2}\ cm^{2} ------> A=((3/4)(4))^{2}=9\ cm^{2}

<u>Find the difference</u>

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

6 0
3 years ago
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