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:
Step-by-step explanation:
A shopper paid $2.52 for 4.5 pounds of potatoes. This means that the unit price for each potato would be
2.52/4.5 = 0.55556
Approximately $0.6 per pound.
The shopper paid $7.75 for 2.5 pounds of broccoli. This means that the unit price for each broccoli would be
7.75/2.5 = $3.1 per pound.
The shopper paid $2.45 for 2.5 pounds of pears. This means that the unit price for each pear would be
2.45/2.5 = $0.98 per pound
the answer for x is 76.4. the way to find it is by dividing 458.4 by 6 to find x s value.
Answer:
b
Step-by-step explanation:
<ABC refers just to angle B. Angle B is on the opposite side of 98 therefore we would have to divide it by two. 98 divided by 2 is 49
Answer:
A linear inequality graph usually uses a borderline to divide the coordinate plane into two regions. One part of the region consists of all solutions to inequality. The borderline is drawn with a dashed line representing '>' and '<' and a solid line representing '≥' and '≤'.
