Answer: 252 square feet
Step-by-step explanation:
lets remember that 1 yard= 3 feet
7 yards= 7*3=21 feet
4 yards= 4*3=12 feet
we know that area of a rectangle= LxW
21 x 12= 252 square feet
Number of pounds of macadamia nuts is 8 pounds and number of pounds of almonds is 4 pounds.
<u>Step-by-step explanation:</u>
Step 1:
Given total pounds of mixture = 12 pounds, cost of macadamia nuts per pound = $9, cost of almonds per pound = $5.25, total cost of mixture per pound = $7.75.
Let number of pounds of macadamia nuts be x and number of pounds of almonds be 12-x.
Step 2:
Form an equation using the above information.
⇒ 9x + 5.25 (12-x) = 12 × 7.75
⇒ 9x + 63 - 5.25x = 93
⇒ 9x - 5.25x = 30
⇒ 3.75x = 30
⇒ x = 8
Number of macadamia nuts is 8 pounds.
Step 3:
Calculate number pounds of almonds
⇒ Number of pounds of almonds = 12 - x = 4 pounds.
Answer:
f = 65
Setup cost = 65
Step-by-step explanation:
Given the equation : 201.50=f+6.50(21)
Solving for f:
201.50 = f + 136.50
201.50 - 136.50 = f
f = 65
The equation above is written in the form a slope intercept function where,, 6.50 is the gradient and X equals the number of shirts, The total cost of printing is 201.50
f is the intercept and represents the initial fee or setup cost. Hence, the setup. Cost = 65
Answer:
12:30 pm
Step-by-step explanation:
8:30 am pond is empty
10:30 am pound is 1,400 gallons full
time? pound is 2,800 gallons full
from 8:30 to 10:30 are 2 hours so the rate of filling up is
1,400 gallons in 2 hours
to have a whole pond filled we need another 2 hours because
in another 2 hours will have another 1,400 gallons so a pound full. 8:30 am + 2hours = 12:30 pm
8:30 am pond is empty
10:30 am pound is 1,400 gallons full
12:30 pm pound is 2,800 gallons full.
First we know that:
AB+BC=AC
now , since B is the midpoint of AC, this means that AB=BC
therefore,
AB+BC=AC can also be written as
AB+AB=AC
3x-1+3x-1=8x-20
6x-2=8x-20
-2+20=8x-6x
18=2x
x=9
therefore:
AB=3(9)-1=27-1=26
AC=8(9)-20=52
BC=AB=26