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:
400cm²
Step-by-step explanation:
Total surface area of a prism includes the area of the top and bottom triangle sides of the prism, plus the area of all 3 rectangular sides.
Base & Bottom triangle area: 2 x [(8 x 15)/2] = 120cm²
Side triangle area: 17 x 7 + 8 x 7 + 15 x 7 = 280cm²
Total surface area = 280 + 120 = 400cm²
First you want to change the fraction into a decimal on this one the decimal is going to be .3333 now your problem looks like 8-.3333x=16 now subtract the 8 and you get -.3333x=16 now divide by -.3333 and you get -48
Answer:
170 ft²
Step-by-step explanation:
Given:
Patio drawing of 4.25 in by 2.5 in
Scale of Patio to its drawing = 4ft to 1 in
Requires:
Area of actual Patio
SOLUTION:
Area of actual Patio = area of a rectangle = length × width
Given a scale drawing of 4ft to 1 in, therefore:
Length of actual Patio = 4.25 × 4 = 17 ft
Width of actual Patio = 2.5 × 4 = 10 ft
Therefore:
Area of actual Patio = 17 ft × 10 ft = 170 ft²
Answer:
y=7x + 5
Step-by-step explanation:
sub into y= mx + c
where m = slope/gradient (7)
and c = y-value of y-intercept (5)
