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kiruha [24]
3 years ago
11

Bananas cost $0.54 per pound and grapes cost $1.28 per pound. Leanne bought 2.6 pounds of bananas and 3.1 pounds of grapes. How

much did she pay for the bananas and grapes she bought? show your work.
Mathematics
1 answer:
MAXImum [283]3 years ago
7 0
1 pound of bananas= $0.54
2.6 pounds of bananas= 2.6×0.54
=$1.404
1 pound of grapes= $1.28
3.1 pounds of grapes= 3.1×1.28
=$3.968
total cost= 3.968+1.404
=$5.372

round of to 2 decimal points as money can only have a maximum of 2 decimal places. thus, it will be $5.37.
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Step-by-step explanation:

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Linar system in variables<br> -x-3y-2z=8,<br> -x+y+6z=, <br> x-9y-2z=4
docker41 [41]

Answer:

-x+y+6z=? You did not spcify so I just made it 0

x = -22/5, y = -4/5, z = -3/5

Step-by-step explanation:

Solve the following system:

{-x - 3 y - 2 z = 8 | (equation 1)

-x + y + 6 z = 0 | (equation 2)

x - 9 y - 2 z = 4 | (equation 3)

Subtract equation 1 from equation 2:

{-x - 3 y - 2 z = 8 | (equation 1)

0 x+4 y + 8 z = -8 | (equation 2)

x - 9 y - 2 z = 4 | (equation 3)

Divide equation 2 by 4:

{-x - 3 y - 2 z = 8 | (equation 1)

0 x+y + 2 z = -2 | (equation 2)

x - 9 y - 2 z = 4 | (equation 3)

Add equation 1 to equation 3:

{-x - 3 y - 2 z = 8 | (equation 1)

0 x+y + 2 z = -2 | (equation 2)

0 x - 12 y - 4 z = 12 | (equation 3)

Divide equation 3 by 4:

{-x - 3 y - 2 z = 8 | (equation 1)

0 x+y + 2 z = -2 | (equation 2)

0 x - 3 y - z = 3 | (equation 3)

Swap equation 2 with equation 3:

{-x - 3 y - 2 z = 8 | (equation 1)

0 x - 3 y - z = 3 | (equation 2)

0 x+y + 2 z = -2 | (equation 3)

Add 1/3 × (equation 2) to equation 3:

{-x - 3 y - 2 z = 8 | (equation 1)

0 x - 3 y - z = 3 | (equation 2)

0 x+0 y+(5 z)/3 = -1 | (equation 3)

Multiply equation 3 by 3:

{-x - 3 y - 2 z = 8 | (equation 1)

0 x - 3 y - z = 3 | (equation 2)

0 x+0 y+5 z = -3 | (equation 3)

Divide equation 3 by 5:

{-x - 3 y - 2 z = 8 | (equation 1)

0 x - 3 y - z = 3 | (equation 2)

0 x+0 y+z = -3/5 | (equation 3)

Add equation 3 to equation 2:

{-x - 3 y - 2 z = 8 | (equation 1)

0 x - 3 y+0 z = 12/5 | (equation 2)

0 x+0 y+z = -3/5 | (equation 3)

Divide equation 2 by -3:

{-x - 3 y - 2 z = 8 | (equation 1)

0 x+y+0 z = -4/5 | (equation 2)

0 x+0 y+z = -3/5 | (equation 3)

Add 3 × (equation 2) to equation 1:

{-x + 0 y - 2 z = 28/5 | (equation 1)

0 x+y+0 z = -4/5 | (equation 2)

0 x+0 y+z = -3/5 | (equation 3)

Add 2 × (equation 3) to equation 1:

{-x+0 y+0 z = 22/5 | (equation 1)

0 x+y+0 z = -4/5 | (equation 2)

0 x+0 y+z = -3/5 | (equation 3)

Multiply equation 1 by -1:

{x+0 y+0 z = -22/5 | (equation 1)

0 x+y+0 z = -4/5 | (equation 2)

0 x+0 y+z = -3/5 | (equation 3)

Collect results:

Answer: {x = -22/5, y = -4/5, z = -3/5

8 0
3 years ago
a regulation tennis court for a double match is laid out so that it's length is 6 ft more than two times its width. the area of
Bond [772]
Area=LW
L=6+2W

given
A=2808

subsitute
2808=LW
subsitute 6+2W for L
2808=(6+2W)(W)
2808=2W²+6W
divide both sides by 2
1404=W²+3W
minus 1404 from both sides
0=W+3W-1404
farctor, what 2 numbers multiply to get -1404 and add to get 3
-36 and 39
0=(W-36)(W+39)
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0=W-36
36=W

0=W+39
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W=36
L=6+2W
L=6+2(36)
L=6+72
L=78

the length is 78ft
the width is 36ft
0=
8 0
3 years ago
LIKE I ACTUALLY NEED HELP THIS IS LITERAL TESTING NOT NO QUIZ.
Mekhanik [1.2K]

Answer:

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4 0
3 years ago
There are 50 pennies in a roll. If you have 150 rolls of pennies, how many pennies do you have?
Y_Kistochka [10]

Answer: 7500

Step-by-step explanation:

multiply 150 by 50

8 0
2 years ago
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