Answer:
140 inches cubed
Step-by-step explanation:
Use the formula V = length * width * height to find the volumes of each block, then add them together to get the combined volume. So, (5 * 4 * 5) + (4 * 5 * 2) = 140 inches cubed, which is the combined volume.
Hopefully this helps- let me know if you have any questions!
Answer:
The ordered pair is one of the solution to the system of equations. See below.
Step-by-step explanation:
To tell if the ordered pair is the solution to the system of equations or not, we can do by substituting the ordered pair in both equations.
(x, y) = (5,-6)
Substitute x = 5 and y = -6 in both equations.
<u>First</u><u> </u><u>Equation</u>
6x+3y=12
6(5)+3(-6)=12
30-18=12
12=12
<u>Second</u><u> </u><u>Equation</u>
4x+y=14
4(5)-6=14
20-6=14
14=14
Because both equations have same sides which mean that both equations are true for (5,-6). Therefore (5,-6) is part of the equations.
<span>Cost of maple syrup = $6.00 a Gallon
Cost of corn syrup = 0.80 cents a Gallon
Cost of the syrup mixture = $2.36 a Gallon
There is mixture of 50 Gallons
Lets maple syrup be x gallons, so corn syrup be 50-x gallons
Hence,
6*x + 0.80(50-x) = 2.36*50
6x + 40 - 0.8x = 118
5.2x = 78
=> x = 78/5.2 => x = 15
So Maple will be syrup be 15 gallons.
Corn syrup will be 35 gallons.</span>
Answer:
$739.50
Step-by-step explanation:
Linda brought =63 pairs of gloves
when she brought 4 she actually got 5 by "buy 4 get 1 free." offer.
This means she got 60/5 = 12 pairs for free out of 63 pairs.
So, she had to pay for only = 63-12 =51 pairs
Therefore, money did Linda spend on all the gloves =51*14.50 = $739.50