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3 years ago

A map uses 5cm to mean 24 miles. How many miles matches 13cm?

Mathematics

1 answer:

Doss [256]3 years ago

5 0

Answer:

62.4 miles

Step-by-step explanation:

The way to determine this is to set up a proportion,

5 cm/24 miles = 13 cm/x miles,

and then solve for x by cross multiplying,

5*x = 24*13.

<em>If you don’t understand that step, try writing it out on paper with fractions instead of division signs.</em> Next, solve.

x = 62.4

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julia-pushkina [17]

Answer:

y= 12

Step-by-step explanation:

2/3 y + 7 = 15

Subtract 7 from each side

2/3 y + 7-7 = 15-7

2/3 y = 8

Multiply each side by 3/2 to isolate y

3/2 * 2/3 y = 3/2 * 8

3/2 * 2/3 y = 3 * 4

y = 12

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3 years ago

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3 years ago

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3 years ago

Divide (-3х + 4 + 18х^2 )by (5 + 6x)

Leokris [45]

Answer:

The division will be represented as:

$\frac{18x^{2}-3x+4}{6x+5}=(3x-3)+\frac{19}{6x+5}$

Step-by-step explanation:

1) Let's find a number with a variable that multiplied by 6x gives as 18x². It will be 3x, because (6x+5)3x=18x²+15x.

Now, let's subtstract:

$(18x^{2}-3x+4)-(18x^{2}+15x)=-18x+4$

2) Let's find a number with a variable that multiplied by 6x gives as -18x. It will be -3, because (6x+5)(-3)=-18x-15.

Now, let's subtstract:

$(-18x+4)-(-18x-15)=19$

Therefore, the division will be represented as:

$\frac{18x^{2}-3x+4}{6x+5}=(3x-3)+\frac{19}{6x+5}$

I hope it helps you!

5 0

3 years ago

Jenny owns a salon. She had 150 customers at the end of the third quarter, 151 customers at the beginning of the third quarter,

Ira Lisetskai [31]

There is a 96% customer retention rate for the third quarter.

Given

Jenny owns a salon.

She had 150 customers at the end of the third quarter, 151 customers at the beginning of the third quarter, and five new customers in the third quarter.

<h3>Customer retention rate</h3>

It determines the percentage of customers that the company has retained over a given period.

The customer retention rate is determined by;

$\rm Customer \ retention \ rate=\dfrac{Given \ period -New \ customers}{Initial \ number}\times 100$

Substitute all the values in the formula;

$\rm Customer \ retention \ rate=\dfrac{Given \ period -New \ customers}{Initial \ number}\times 100\\\\\rm Customer \ retention \ rate=\dfrac{150-5}{151}\times 100\\\\ Customer \ retention \ rate=\dfrac{145}{151}\times 100\\\\ Customer \ retention \ rate=0.96 \times 100\\\\ Customer \ retention \ rate=96$

Hence, there is a 96% customer retention rate for the third quarter.

To know more about customer retention rate click the link given below.

brainly.com/question/25668470

7 0

2 years ago