Answer:
MN=23
Step-by-step explanation:
For the midsegment:
MN=(WZ+XY)/2
10x+3=(11+8x+19)/2
10x+3=4x+15
6x=12
x=2
MN=10×2+3=23
Answer:sorry homie slice
Step-by-step explanation:
Answer:
2p, since twice as long would hint to multiplication.
Answer: 48oz = $1.68, 32oz = $0.80
Step-by-step explanation:
Let A be the price of the 48oz bottle and B the price for the 32oz bottle.
We are told that:
A = B + $0.88
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The unit price is defined as the $ per oz.
Let Au be the unit price for the 48oz size, and
Bu is the unit price for the 32oz size.
[This means that Au*(48) = A and Bu*(32) = B]
We are told that:
Bu + $0.01 = Au
=======
Find the cost of each.
A = B + $0.88
Au*(48) = Bu*(32) + $0.88
Substitute (Bu + $0.01) for Au
(Bu + $0.01)*(48) = Bu*(32) + $0.88
(48Bu + $0.48) = Bu*(32) + $0.88
16Bu + $0.48 = $0.88
16Bu = $0.40
Bu = $0.025
The 32 oz bottle sells for $0.025/oz, or $0.80 a bottle
B = $0.80
Since A = B + $0.88
A = $0.80 + $0.88
A = $1.68
Answer:
a = 3
b = 2
c = 0
d = -4
Step-by-step explanation:
Form 4 equations and solve simultaneously
28 = a(2)³ + b(2)² + c(2) + d
28 = 8a + 4b + 2c + d (1)
-5 = -a + b - c + d (2)
220 = 64a + 16b + 4c + d (3)
-20 = -8a + 4b - 2c + d (4)
(1) + (4)
28 = 8a + 4b + 2c + d
-20 = -8a + 4b - 2c + d
8 = 8b + 2d
d = 4 - 4b
Equation (2)
c = -a + b + d + 5
c = -a + b + 4 - 4b+ 5
c = -a - 3b + 9
28 = 8a + 4b + 2c + d (1)
28 = 8a + 4b + 2(-a - 3b + 9) + 4 - 4b
28 = 6a - 6b + 22
6a - 6b = 6
a - b = 1
a = b + 1
220 = 64a + 16b + 4c + d (3)
220 = 64(b + 1) + 16b + 4(-b - 1 - 3b + 9) + 4 - 4b
220 = 60b + 100
60b = 120
b = 2
a = 2 + 1
a = 3
c = -3 - 3(2) + 9
c = 0
d = 4 - 4(2)
d = -4
