Mathematics, 29.10.2019 05:31 EvoBruh4465

It takes adi 2 hours to drive from home to her office and 3 hours if she drives 15 mph slower. what is the distance between adi's house and the office?

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Answer from: jayonelijah

Speed is defined as the distance(miles) covered per time(hours).

The distance between Adi's house and the office is 90 miles.

From the question, we know that the speed from Adi's house to her office is she drives 15 mph slower than her usual speed is 3 hours.

Let's represent her usual speed as: x

The formula for speed = distance / time

Distance = speed x time

Her usual time = 2 hours

Distance = x * 2

Distance = 2xEquation 1

From the question, we know that the speed from Adi's house to her office is she drives 15 mph slower than her usual speed is 3 hours.

Her speed if she drives 15mph slower is = x - 15

Distance = 3 * (x - 15)

Distance = 3x - 45Equation 2

Equate both equations to each other.

Equation 1 = Equation 2

2x = 3x - 45

Collect like terms

3x - 2x = 45

x = 45 mph = 45 miles per hour.

Her usual speed is 45 mph

Finding the distance from her house to her office:

Distance = Speed x time

= 45mph x 2 hours

= 90 miles

Therefore, the distance between Adi's house and the office is 90 miles.

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Answer from: bg988763p7cl2d

90 miles

Step-by-step explanation:

Let ori. speed = z

distance = speed × time

= z × 2

= 2z miles

distance = (z - 15) × 3

= (3z - 45)miles

2z = 3z - 45

z = 45mph

distance = 45 × 2

= 90 miles

distance = (45-15) × 3

= 90 miles

(Correct me if i am wrong)

Answer from: Quest

5x + 3y = - 4

step-by-step explanation:

the equation of a line in standard form is

ax + by = c ( a is a positive integer and b, c are integers )

express the line first of all in slope- intercept form

y = mx + c ( m is the slope and c the y-intercept )

to calculate m use the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (7, - 3) and (x₂, y₂ ) = (4, - 8)

m = $\frac{-8+3}{4-7}$ = - $\frac{5}{3}$

y = - $\frac{5}{3}$ x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (4, - 8 ), then

- 8 = - $\frac{20}{3}$ + c ⇒ c = - $\frac{4}{3}$

y = - $\frac{5}{3}$ x - $\frac{4}{3}$ ← in slope-intercept form

multiply all terms by 3 to eliminate the fractions

3y = - 5x - 4 ( add 5x to both sides )

5x + 3y = - 4 ← in standard form

Answer from: Quest

Do you have a picture? ?

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