Using the general formula of d = rt, where d = distance, r = rate and t = time, we can solve for the missing variable (r, or speed). Given Tara's distance of 1600 m and her total time of 5 minutes and 20 seconds, first convert her time into just minutes:

5 $\frac{20}{60}=\frac{1}{3}$

5 $\frac{1}{3}=\frac{16}{3}$

1600 = r(16/3)

Multiply both sides by reciprocal of 16/3: 3/16(1600) = r(16/3)(3/16)

Solve for 'r': 300 meters per minute

4 0

3 years ago

-5x + 12 - 7x = -3(5x + 8)

nikitadnepr [17]

Simplify -5x + 12 - 7x to -12x + 12

-12x + 12 = -3(5x + 8)

Expand

-12x + 12 = -15x - 24

Add 15x to both sides

-12x + 12 + 15x = -24

Simplify 12x + 12 + 15x to 3x + 12

3x + 12 = -24

Subtract 12 from both sides

3x = -24 - 12

Simplify -24 - 12 to -36

3x = -36

Divide both sides by 3

x = -36/3

Simplify 36/3 to 12

x = -12

7 0

3 years ago

Answer choices are 14 24 28 48

MrRa [10]

Answer: 24 square units

Step-by-step explanation:

It appears the shaded area of the rectangle is half of the rectangle's area. This means if we find the area of the rectangle and divide it by 2 we will know the area of the shaded portion.

The formula for the area of a rectangle is $lw=A$

Where

l is the length (8 for this)

w is the width (6 for this)

A is the area

However, since we are finding half the area we will divide lw by 2

Sub the values into the formula

$\frac{lw}{2} =A\\\frac{(8)(6)}{2} =A\\\frac{48}{2} =A\\24=A$

4 0

2 years ago