Brittany drove 320 miles in 4 hours. Lauren drove 280 miles in 4 hours. At these rates, how many more miles can Brittany drive in 5 hours than Lauren?

50 miles

Step-by-step explanation:

For Brittany

Brittany drove 320 miles in 4 hours.

4 hours = 320 miles

5 hours = x miles

Cross Multiply

4hours × x = 5 hours × 320 miles

x = 5 hours × 320 miles/4 hours

x = 400 miles

For Lauren

Lauren drove 280 miles in 4 hours.

4 hours = 280 miles

5 hours = x miles

Cross Multiply

4hours × x = 5 hours × 280 miles

x = 5 hours × 280 miles/4 hours

x = 350 miles

At these rates, the number of miles can Brittany drive in 5 hours than Lauren is calculated as:

Number of miles Brittany drives in 5 hours - Number of miles Lauren drives in 5 hours

= 400 miles - 350 miles

= 50 miles

area of part 1:

a1=base*height/2=(8+2)*(8-2-2-1)/2=10*3/2=15 ft^2

area of part 2:

a2=length*width=(8+2)*1=10 ft2

area of part 3:

a3=length*width=8*2=16 ft2

total shaded area : a1+a2+a3=41 ft2

total area of the reactangle : a=16*8=128 ft2

total area of the nonshaded region : 128-41=87 ft2

x ≥ 18 is your answer

step-by-step explanation:

let "a number" = x

(2/3)x + 17 ≥ 29

isolate the variable (x). do the opposite of pemdas (parenthesis, exponent (& root), multiplication, division, addition, subtraction).

first, subtract 17 from both sides.

(2/3)x + 17 (-17) ≥ 29 (-17)

(2/3)x ≥ 29 - 17

(2/3)x ≥ 12

next, multiply 3/2 to both sides to isolate the x

(3/2)(2/3)x ≥ 12(3/2)

x ≥ 12(3/2)

simplify. multiply, then divide

x ≥ (12 * 3)/2

x ≥ (36)/2

x ≥ 18

x ≥ 18 is your answer

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