Answer:
see explanation
Step-by-step explanation:
The area (A) of a rectangle is calculated as
A = width × length
let width be w then length is 2w + 3 ( 3 more than twice the width ), then
A = w(2w + 3) ← distribute
= 2w² + 3w
When w = 4 , then
A = 2(4)² + 3(4)
= 2(16) + 12
= 32 + 12
= 44 ft²
Answer:
<u>5 eggs and 3.33 cups of sugar</u>
Step-by-step explanation:
3 eggs are required to make 30 cookies
1 cookie needs 3/30 eggs
so,50 cookies needs 50*3/30=150/30=<u>5 eggs</u>
2 cups of sugar is required to make 30 cookies
1 cookie needs 2/30 cups of sugar
so,50 cookies needs 50*2/30=100/30=<u>3.33 cups of sugar</u>
We know that the area of a circle in terms of π will be πr². However the area with respect to the diameter will be a different story. The first step here is to find a function relating the area and diameter of any circle --- ( 1 )
For any circle the diameter is 2 times the radius,
d = 2r
Therefore r = d / 2, which gives us the following formula through substitution.
A = π(d / 2)² = πd² / 4
<u>Hence the area of a circle as the function of it's diameter is A = πd² / 4. You can also say f(d) = πd² / 4.</u>
Now we can substitute " d " as 4, solving for the area ( A ) or f(4) --- ( 2 )
f(4) = π(4)² / 4 = 16π / 4 = 4π - <u>This makes the area of circle present with a diameter of 4 inches, 4π.</u>
Direct variation equal is written as : y = kx
K is the constant of variation.
12 = k4
12/4 = k
k = 3
y = 3x
Answer: <span>B. y = 3x </span>
Y = 3.50x
245 = 3.50x
x = 245/3.5
x = 70 coffee mugs
315 = 3.50x
x = 315/3.5
x = 90 coffee mugs
Ronny needs to sell 90 coffee mugs to reach his sales goal. However, he already sold 70 coffee mugs, so he needs to sell an additional 20 coffee mugs to reach 90 coffee mugs and reach his $315 sales goal.
