L = large pumpkin
m = medium pumpkin
Write a system of equations:
1) L + m = 20
2) m = L - 6
3) $3L + $2m = $53
Substitute L - 6 for m in equation 1:
L + (L - 6) = 20
Add 6 to both sides:
2L = 26
(L + L = 2L)
Divide two on both sides:
L = 13
Julie bought 13 large pumpkins.
Check (use equation 3):
$3(13) + $2(7) = 53
(m = 7 because 20 - 13 = 7)
Multiply:
$39 + $14 = $53 :)
Answer:
The answer is 72 square units
Step-by-step explanation:
If rectangle A is scaled by 150% that means the length and breadth of rectangle A were both increased by 1.5(150%) to yield rectangle B.
So, the area of rectangle B is 1.5L x 1.5B = 2.25LB
But, LB = area of rectangle A which is = 32
So, area of rectangle B
= 2.25 x 32
= 72square units.
Answer:
20 feet
Step-by-step explanation:
The scale is 3 inches is to 2 feet
As a ratio, it would be:
The question is what is the actual length of the stage if the drawing is 30 inches. All we need to do is find a ratio proportional to the scale ratio:
Now to find the missing number, cross multiply the fractions first:
Then solve for x:
The answer is 20 feet
Answer: A. 30
Step-by-step explanation:
The formula for the area of a circle is pi*r^2, where r is the radius of the circle.
900pi = pi*r^2
Divide both sides by pi.
900 = r^2
Square root both sides.
r = +/- 30.
Since the radius cannot be negative, the answer is 30 units.
2a + 3b, 6ab, And 2b + 3a
