Answer:
(0.7- -5x-0.2)= (0.7-1)= -1.7
-1.7/0.3 = -5.66666666667
Answer:
D. 4(2x² + 4x - 6); 130.0 inches
Step-by-step explanation:
Margot is sewing a ribbon on a seam along the perimeter of a square pillow. The side length of the pillow is 2x²+1 inches. She plans to make a similar pillow, including the ribbon, whose side length is 4x−7 inches. What expression can be used for the length of ribbon that she needs for both pillows, and what is the length if x = 3.5?
2x2+4x−6; 22.0 inches
2x2+4x−6; 32.5 inches
4(2x2+4x−6;) 88.0 inches
4(2x2+4x−6;) 130.0 inches
Perimeter of a square = 4 * side length
1- First square pillow
length = 2x²+1 in
Perimeter of first pillow = 4 * (2x²+1) in
Second square pillow
length = 4x-7 in
Perimeter of second pillow = 4(4x-7) in
Total ribbon length required = perimeter of first square pillow + perimeter of second square pillow
Total ribbon length required = 4(2x²+1) + 4(4x-7)
Factorise
4 is the common factor
=4(2x²+1)+(4x-7)
=4(2x²+1+4x-7)
=4(2x²+4x-6)
Total ribbon length required=4(2x²+4x-6)
If x=3.5
Total ribbon length required=4(2x²+4x-6)
=4{2(3.5)²+4(3.5)-6}
=4{2(12.25)+14-6)
=4(24.5+14-6)
=4(32.5)
=130.0 inches
Answer:
(2,1)
Step-by-step explanation:
3x+y = 7
-2x +y = -3
Solve the second equation for y by adding 2x to each side
-2x+2x +y = -3+2x
y = -3 +2x
Substitute into the first equation
3x+ (-3+2x) = 7
Combine like terms
5x -3 = 7
Add 3 to each side
5x-3+3 = 7+3
5x = 10
Divide by 5
5x/5 = 10/5
x=2
Now we need to solve for y
y = -3 +2x
y = -3 +2(2)
y = -3+4
y =1
Answer:
11.43 gallons used exactly per week asuming not changes in schedule or any other reasons to drive and that a one way trip is 24 miles.
Step-by-step explanation:
48 as total for two trips
five of these need to be done, so 240 miles a week assuming no other reason to drive
240 / 21 = 10 with remainder 30
so 11 and remainder 9
9/21 = nearly .43 gallons, which means as a minimum she shouldn't go below 11.5 and better yet 12 gallons.
