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klasskru [66]
3 years ago
8

Find the volume of 2 and 1/2 1 and 1/2 and 3​

Mathematics
1 answer:
Andre45 [30]3 years ago
7 0

To find the volume multiply all 3 numbers together.

2 1/2 x 1 1/2 = 3 3/4

3 3/4 x 3 = 11 1/4

The volume is 11 and 1/4 cubic units

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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

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3 years ago
a music store is advertising a 25% off sale on all new releases find the discount and the sale price of a newly released CD that
ludmilkaskok [199]
Discount=$3.13
sale=$9.38
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3 years ago
To prove that the triangles are similar by the SAS similarity theorem, it needs to be shown that
mihalych1998 [28]
The two triangles are congruent it two sides and the included angle of one triangle are respectively equal to two sides and angle of the other triangle
6 0
3 years ago
Read 2 more answers
Right trapezoid WXYZ is shown. Right trapezoid W X Y Z is shown. Sides X Y and W Z are parallel. Angle W is 73 degrees and angle
Sladkaya [172]

Answer:

∠WXY = 107°

Step-by-step explanation:

In a trapezoid, adjacent angles are supplementary, meaning they add up to 180°. ∠W and ∠WXY are adjacent, so they are supplementary. 180° - 73° = 107°.

Another way to do this is to know that there are 360° in a trapezoid. This is a right trapezoid, so two of the angles are 90°. One angle is 73°. 90° + 90° + 73° = 253°. 360° - 253° = 107°.

I hope this helps :))

3 0
3 years ago
Which expression is equivalent to |x| &gt; 9
Fynjy0 [20]
D)
x<-9
x>9
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3 years ago
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