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Leviafan [203]
2 years ago
5

Four friends at a party popped 3/4 of a bag of popcorn. They ate half of what was popped. What fraction of the popcorn in the ba

g did they eat
Mathematics
1 answer:
steposvetlana [31]2 years ago
3 0
Your answer is... they ate 2/4 or 1/2 of the bag of popcorn.
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Solve the following system in three variables using linear combinations. 3x−2y+z=0 4x+y−3z=−9 9x−2y+2z=20
goblinko [34]

Answer:

The solution of the system of equations is

x=2,y=7,z=8

Step-by-step explanation:

we have

3x-2y+z=0

isolate the variable z

z=2y-3x ------> equation A

4x+y-3z=-9 ----> equation B

9x-2y+2z=20 ----> equation C                  

substitute equation A in equation B and equation C

4x+y-3(2y-3x)=-9

4x+y-6y+9x=-9

13x-5y=-9 -------> equation D

9x-2y+2(2y-3x)=20

9x-2y+4y-6x=20

3x+2y=20 ----> equation E

Solve the system

13x-5y=-9 -------> equation D

3x+2y=20 ----> equation E

Multiply equation E by 2.5 both sides

2.5*(3x+2y)=20*2.5

7.5x+5y=50 -----> equation F

Adds equation D and equation F

13x-5y=-9

7.5x+5y=50

------------------

13x+7.5x=-9+50

20.5x=41

x=41/20.5

x=2

<u><em>Find the value of y</em></u>

substitute the value of x in the equation E

3(2)+2y=20

6+2y=20

2y=20-6

2y=14

y=7

<u><em>Find the value of z</em></u>

Substitute the value of x and the value of y in equation A

z=2y-3x

z=2(7)-3(2)

z=14-6

z=8

therefore

The solution of the system of equations is

x=2,y=7,z=8

5 0
3 years ago
What is 142/3 simplified <br> Help please!!!
lapo4ka [179]

Answer:

47.33

Step-by-step explanation:

I solved it on paper

8 0
2 years ago
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Find the area of the triangle with the given measurements. Round the solution to the nearest hundredth if necessary. B = 71°, a
mr_godi [17]
\boxed{\text{Area of the triangle:}  \dfrac{a \times c \times sin(\measuredangle B)}{2}}  \\  \\  A =  \dfrac{a \times c \times sin(\measuredangle B)}{2}  \\  \\  A= \dfrac{11 \times 18 \times sin71 ^o }{2}   \\  \\  \\  Note : sin 71^o \approx 0,94 \\  \\  \\  A =  \dfrac{198 \times 0,94}{2}  \\  \\  A= \dfrac{186.12}{2} \\  \\ A=93.6 \ cm^2
6 0
3 years ago
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What is the perimeter of the trapezoid? In unit
Korolek [52]

Answer:

20 units

Step-by-step explanation:

the perimeter = 7+4+4+5 = 20 units

5 0
3 years ago
Need help
Alika [10]

Answer:

16

Step-by-step explanation:

2*8= 16

4 0
3 years ago
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