Answer:
34 mph.
Step-by-step explanation:
Let x be speed of Charlene, then speed of Paul will be x+16 as we are given that Paul is driving 16 mph faster than Charlene.
Let y be distance covered by Charlene, then distance covered by Paul will be 420-y.
Now we will use formula
. Upon using our given information we will get two equation and two unknowns as:


Upon substituting
in 1st equation we will get,

Upon multiplying both sides of our equation by 5 we will get,






Upon substituting y=170 in 2nd equation we will get,


Therefore, Charlene's speed is 34 miles per hour.
Answer:
Step-by-step explanation:
5 1/3 x 1/6 = 8/9
5 1/3 + 1/6 = 5 2/6
5 1/3 - 1/6 = 31/6
5 1/3 / 1/6 = 32
Answer/Step-by-step explanation:
1. Perimeter of the building = sum of all the length of the outer borders surrounding the building = 1,718 ft
Thus:
4x - 6 + 2x + 3x + 2(3x + 4) + 3x + 2x + x + x + x + 2x + 4x - 6 + 2(3x + 4) + 4x - 6 + 3x = 1,718
Open the Parentheses
4x - 6 + 2x + 3x + 6x + 8 + 3x + 2x + x + x + x + 2x + 4x - 6 + 6x + 8 + 4x - 6 + 3x = 1,718
Combine like terms
42x - 2 = 1,718
42x = 1,718 + 2
42x = 1,720
x ≈ 41
2. Missing perimeter of Building = 2x + 2x + 4x - 6
Simplify
= 8x - 6
Plug in the value of x
= 8(41) - 6
= 322 ft
3. Area of English Building = length * width
= (4x - 6 + 2x)(3x)
Simplify
= (6x - 6)(3x)
Plug in the value of x
= (6(41) - 6)(3(41))
= (246 - 6)(123)
= (240)(123)
= 29,520 ft²
Answer:
3 ÷ 8
Step-by-step explanation:
1. A fraction has two parts: a numerator and a denominator. The numerator is the dividend (the number that is to be divided by the divisor), and the denominator is the divisor (the number that is divided into the dividend).
2. Given the information above, we know that 3 is the numerator, and 8 is the denominator. This means 3 ÷ 8 = 3/8.