PLEASE HELP ASAP!!! PLEASE ALSO GIVE EXPLANATION WITH EQUATION AND WORDS!!

Mathematics

1 answer:

tia_tia [17]1 year ago

3 0

Using proportions, it is found that the two cities are 27.5 miles apart.

<h3>What is a proportion?</h3>

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.

From the given scale, we have that <u>each inch of distance represents 10 miles</u>. Hence the distance in miles for a distance of 2 and 3/4 miles = 2.75 miles is given by:

D = 10 x 2.75 = 27.5 miles.

Hence, the two cities are 27.5 miles apart.

More can be learned about proportions at brainly.com/question/24372153

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Express as a trinomial (2x+8)(x-3)

Luden [163]

Answer:

$\huge\boxed{(2x+8)(x-3)=2x^2+2x-24}$

Step-by-step explanation:

$\text{Use FOIL:}\ (a+b)(c+d)=ac+ad+bc+bd\\\\(2x+8)(x-3)=(2x)(x)+(2x)(-3)+(8)(x)+(8)(-3)\\\\=2x^2-6x+8x-24\qquad\text{combine like terms}\\\\=2x^2+(-6x+8x)-24\\\\=2x^2+2x-24$