Answer:
30%
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Answer:
p = 3
q = 4
Step-by-step explanation:
p + 2q = 11 --------------------(I)
p = 11 - 2q
2p + q = 10 --------------------(II)
Substitute p = 11 -2q in equation (II)
2(11 - 2q) + q =10
2*11 - 2q *2 + q = 10
22 - 4q + q = 10
22 - 3q = 10
-3q = 10 - 22
-3q = -12
q = -12/-3
q = 4
Plugin q = 4 in equation (I)
p + 2q = 11
p + 2*4 = 11
p + 8 = 11
p = 11 - 8
p = 3
Answer:
The diagonal is 39.54 in
Step-by-step explanation:
First we use the Pythagorean theorem to calculate the length of the diagonal of the base.
If the base measures 13 inches by 35 inches then the diagonal is:

Now we use the Pythagorean theorem again to find the diagonal of the cube.
If the height of the box is 13 inches and the diagonal of the base is 37.34 inches then the diagonal of the cube will be

The baton will fit in the box if it is placed in the direction of the diagonal of the cube, since:
39.54\ in > 38 inches
Answer:
A= $0.60
B= $5.62
Step-by-step explanation:
A: If you do 1.5*0.10, the product will be 0.15. If you do 1.5*0.50, the product would be 0.75. So, 0.75-0.15 is 0.6.
B: 2.5*0.50 is 1.25 and 1.25*0.10 is 0.125. So, if you add the products together, you would get 1.375 but because it's money, you have to round it to $1.38 and $7-$1.38 is $5.62.
Volume=legnth times width times height
convert all to iimporper fractions first for ease
1 and 1/3=1+1/3=3/3+1/3=4/3
1 and 5/8=1+5/8=8/8+5/8=13/8
4 and 1/2=4+1/2=8/2+1/2=9/2
multiply them
volume=(4/3) times (13/8) times (9/2)
volume=(4 times 13 times 9)/(3 times 8 times 2)
volume=468/48
volume=39/4
volume=9 and 3/4 cubic feet