Answer:
$200
Step-by-step explanation:
Amanda Beverly
9 : 3
difference between Amanda and Beverly = 9 - 3 = 6 portions.
∴ value of 6 portions = $60
value of 1 portion = $ 60 / 6
= $10
Total no. of portions = 8 + 9 + 3 = 20
Total sum of money to be shared = value of 1 portion x Total no. of portions
= $10 x 20
= <u>$200</u>
Kristin jogs 48 miles in 50 minutes, so her unit rate is 48miles/50 minutes
Answer: 92.84
Step-by-step explanation:
32 + 1.8° Celsius = 92.84° Fahrenheit
The answer is 1.
3^3 = 27
27^-1 = 1/27
1/27 x 27 = 1
I took this test and got this question right.
Answer:
18ft wide and 33 ft long
Step-by-step explanation:
We are told in the question that:
Cynthia Besch wants to buy a rug for a room that is 20 ft wide and 35 ft long.
The Area of the carpeting she must have = 594 ft²
To solve for this, we have:
Length × Width = Area of a rectangle
594ft² = Length × Width
594ft² = (20 - x) (35 - x)
594 = 700 - 20x - 35x + x²
594 = 700 - 55x + x²
Collect like terms
x² - 55x + 700 - 594
x² - 55x + 106
We factorise
x² - 2x - 53x + 106
(x² - 2x) -(53x + 106)
x(x - 2) -53(x - 2)
(x - 2)(x - 53)
x - 2 = 0, x = 2
x - 53 = 0, x = 53
We choose the least value for x
Hence, x = 2
Length = 20 - 2 = 18ft
Width = 35 - 2 = 33ft
The dimensions the rug should have is 18ft by 33ft, meaning 18ft wide and 33 ft long
