Answer:
20. 
22. 
24. 
Step-by-step explanation:
20. 
The GCF is x, so you group it out of the equation first.

Then, you find 2 numbers that will equal to 2 when you add them and will equal to -48 when you multiply them.

The two numbers would be -6 and 8. You then differentiate the squares.

22. 
The GCF is 2, so you must group it out.

Find the two numbers that will equal to 5 when you add them and will equal to 4 when you multiply them.

The two numbers would be 1 and 4. Finally, differentiate the squares.

24. 
The GCF is 5m, so you must group it out.

Find the two numbers that will equal to 6 when you add them and will equal to -7 when you multiply them.

The two numbers would be -1 and 7. Finally, differentiate the squares.

Answer:
Step-by-step explanation:
d=4 miles=4×1760 yards=7040 yards=7040×3 ft
number of lights=21120 ft
number of lights=21120/145 +1≈145.7+1=146+1=147 lights
Width of the rectangle is 13 ft and length of the rectangle is 33 ft
<u>Step-by-step explanation:</u>
Step 1:
Given perimeter of the rectangle = 92 ft. Let the width be x, then the length of the rectangle = 2x + 7. Use the formula for perimeter of a rectangle = 2(length + width) to find the dimensions.
92 = 2(2x + 7 + x) = 2(3x + 7) = 6x + 14
⇒ 92 = 6x + 14
⇒ 78 = 6x
⇒ x = 78/6
∴ x = 13 ft
⇒ Width of the rectangle = 13 ft
∴ Length of the rectangle = 2x + 7 = 26 + 7 = 33 ft
Answer:
x = 200
Step-by-step explanation:
1/5x – 2/3y = 30
substitute in y
1/5x - 2/3(15) = 30
multiply
1/5x - 10 = 30
isolate the variable
1/5x = 40
multiply each side by 5
x = 200