x =14
Answer:
Step-by-step explanation:
11. By inscribed angle theorem:
12. Again by inscribed angle theorem:
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:
7
Step-by-step explanation:
collect like terms
14=-a+3a
2a=14
dividing both sides
a=7
Answer:
Step-by-step explanation:
y= 1/2x + −7/2
Answer: 222cm
Step-by-step explanation:
To find the area of this composite shape you will have to split them into 2 shapes; a rectangle and a triangle.
To work out the area of the rectangle you have to do 15×12= 180
Then, to work out the area of the triangle, you use the formula base times height divided by 2.
7×12=84
84÷2=42
Then to work out the total area of both the rectangle and the triangle, you have to add the area of both.
180+42=222cm
Hope this helps :)
