Answer: 4
Step-by-step explanation:
You add the ratio numbers to make 10 then divide 150 by 10. (15)
then you multiply 15 by 1:4:5
to make 15:60:75
To compare unit prices, you first have to find the unit prices
for whistles, the unit prices are:
$21.25/25=0.85
36/50=0.72
60/80=0.75
difference between the highest unit price and the lowerest: $0.85-$0.72=$0.13
Kazos: 10/25=0.40
18.5/50=0.37
27.20/80=0.34
so the highest unit price is $0.40
Answer:
the amount of fuel consumed every 100 kilometers is 62.5 litres.
Step-by-step explanation:
To determine the amount of fuel consumed every 100 kilometers.
Note: since the graph is a straight line graph (linear graph) the amount of fuel consumed every 100 kilometers is constant (i.e the same for every 100 kilometers). So, we only need to derive the amount of fuel consumed any 100 kilometers on the graph.
From the graph, the amount of fuel consumed for the first 100 kilometers is;
substituting into equation 1.
Therefore, the amount of fuel consumed every 100 kilometers is 62.5 litres.
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
