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Temka [501]
3 years ago
12

Victor drives a distance of 21.45 miles everyday from home to his office. He moves into a new apartment that is just 3.65 miles

away from his office. Determine the distance by which Victor has lessened his drive to the office.
Mathematics
1 answer:
Mila [183]3 years ago
5 0

Answer:

17.8 miles

Step-by-step explanation:

His old house was 21.45 miles from the office. He moves to a new apartment which is just 3.65 miles from the office.

Since it asks for the distance he reduced to the office, we would do

21.45 - 3.65 = 17.8 miles

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D. <span>4(x) represents the total length of all four coffee table legs.</span>
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What is the part and whole of 40% of 20?
pashok25 [27]
The answer is 8

I hope this helps!
5 0
3 years ago
Fifteen less than twice a number is 21.<br> What is the missing number? |
Vikentia [17]

Answer:

2y - 15

Step-by-step explanation:

well 15 LESS than TWICE a number. okay so let’s start off by making a variable for the unknown number.... y. the variable is y. so now we have to think, TWICE that number, but we don’t know the number.

Now that we have the variable and we know it has to be doubled, let’s start off making the first half... we can out that into 2y. which is 2 multiplied by the unknown number.

now that we have the first half done, we have to take the 15 less. Less can mean  or subtract in this kind of situation. but for this certain scenario, it will be subtraction. so the equation would be 2y - 15.

4 0
3 years ago
An equation parallel and perpendicular to 4x+5y=19
UNO [17]

Answer:

Parallel line:

y=-\frac{4}{5}x+\frac{9}{5}

Perpendicular line:

y=\frac{5}{4}x-\frac{1}{2}

Step-by-step explanation:

we are given equation 4x+5y=19

Firstly, we will solve for y

4x+5y=19

we can change it into y=mx+b form

5y=-4x+19

y=-\frac{4}{5}x+\frac{19}{5}

so,

m=-\frac{4}{5}

Parallel line:

we know that slope of two parallel lines are always same

so,

m'=-\frac{4}{5}

Let's assume parallel line passes through (1,1)

now, we can find equation of line

y-y_1=m'(x-x_1)

we can plug values

y-1=-\frac{4}{5}(x-1)

now, we can solve for y

y=-\frac{4}{5}x+\frac{9}{5}

Perpendicular line:

we know that slope of perpendicular line is -1/m

so, we get slope as

m'=\frac{5}{4}

Let's assume perpendicular line passes through (2,2)

now, we can find equation of line

y-y_1=m'(x-x_1)

we can plug values

y-2=\frac{5}{4}(x-2)

now, we can solve for y

y=\frac{5}{4}x-\frac{1}{2}


4 0
3 years ago
A box in the shape of a rectangular prism has a width that is 5 inches greater than the height and a length that is 2 inches gre
aliina [53]

The volume of the rectangular prism can be express in standard polynomial as follows:

x³ + 12x² + 35x

<h3>How to find the volume of a rectangular prism?</h3>

volume of a rectangular prism = lwh

where

  • l = length
  • w = width
  • h = height

Therefore,

let

height = x

width = x + 5

length = x + 5 + 2 = x + 7

Therefore,

volume = x(x + 5)(x + 7)

volume = x(x² + 7x + 5x + 35)

volume = x(x² + 12x + 35)

volume = x³ + 12x² + 35x

learn more on volume here: brainly.com/question/2005063

#SPJ1

7 0
2 years ago
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