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Misha Larkins [42]
3 years ago
7

The sum of two numbers is 36 twice the first number minus the second number is 6 find the numbers

Mathematics
1 answer:
Ilia_Sergeevich [38]3 years ago
3 0

Answer:

14, 22

Step-by-step explanation:

x+y = 36

2×x - y = 6

=> x = 36 - y

=> 2×(36 - y) - y = 6

72 - 2y - y = 6

-3y = -66

3y = 66

y = 22

=> x = 36 - 22 = 14

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What is the volume of the cylinder? Round to the nearest 10th.
nata0808 [166]

Answer:169.7

Step-by-step explanation:

To find the volume of a cylinder you can use the math formula πr^2H where r is the radius and H is the height. If you plug in the values you get π3^2(6) simplify 3^2 to get (9π)(6), you can multiply 9 by 6 to get 54 then multiply that by 3.1415 to get 169.65 which rounds to 169.7

6 0
3 years ago
Alexa knock down 70 bowling pins in 10 frames. in each frame, alexa nocked down the same number of pins. how many pins did Alexa
hichkok12 [17]
The answer would be 7 because you would divide 70 by 10 to find out how many were per frame.
3 0
3 years ago
Write an equation in point-slope form for the line through the given point with the given slope. (-10, -6); m = -5/8
vekshin1
Y+6=-5/8(x+10)

Hope this helps!
4 0
3 years ago
If the volume of a box is 2x3 + 4x2 − 30xwhich of the dimensions are possible with the given x-value?
Kipish [7]

The possible value of x = 4, dimensions 8 by 9 by 1 (option D), if the volume of a box is 2 x^{3} + 4 x^{2} -30x.

Step-by-step explanation:

The given is,

                        2 x^{3} + 4 x^{2} -30x................................(1)

Step:1

    Check for option A,

             x = 1, dimensions 8 by 9 by 1  

            From the equation (1),

                      Volume = 2 (1^{3}) + 4 (1^{2} )-30(1)

                                    =2+4-30 = -24...................(2)

            From the dimensions,

                      Volume = ( 8 × 9 × 1 )

                                     = 72............................................(3)

            From equation (2) and (3)

                                -24 ≠ 72

            So, X=1; dimensions 8 by 9 by 1 is not possible.

   Check for option B,

             x = 1, dimensions 2 by 5 by 3

            From the equation (1),

                      Volume = 2 (1^{3}) + 4 (1^{2} )-30(1)

                                    =2+4-30 = -24...................(4)

            From the dimensions,

                      Volume = ( 2 × 5 × 3 )

                                     = 30.........................................(5)

            From equation (4) and (5)

                                -24 ≠ 30

            So, X=1; dimensions 2 by 5 by 3 is not possible.

   Check for option C,

            x = 4, dimensions 2 by 5 by 3

            From the equation (1),

                      Volume = 2 (4^{3}) + 4 (4^{2} )-30(4)

                                    =2(64)+4(16)-30(4)

                                    = 128+64-120

                                    = 72.............................................(6)

            From the dimensions,

                      Volume = ( 2 × 5 × 3 )

                                     = 30............................................(7)

            From equation (6) and (7)

                               72 ≠ 30

            So, X=4; dimensions 2 by 5 by 3 is not possible.

    Check for option C,

            x = 4, dimensions 8 by 9 by 1

            From the equation (1),

                      Volume = 2 (4^{3}) + 4 (4^{2} )-30(4)

                                    =2(64)+4(16)-30(4)

                                    = 128+64-120

                                    = 72............................................(8)

            From the dimensions,

                      Volume = ( 8 × 9 × 1 )

                                    = 72............................................(9)

            From equation (8) and (9)

                               72 = 72

            So, X=4; dimensions 8 by 9 by 3 is possible.

Result:

           The possible value of x = 4, dimensions 8 by 9 by 1 (option D), if the volume of a box is 2 x^{3} + 4 x^{2} -30x.

         

4 0
3 years ago
Find the equation of a line parallel to y - 5x = 10 that passes through the point (3, 10). (answer in slope-intercept form)
Blizzard [7]
It would be c because it’s the opposite
5 0
2 years ago
Read 2 more answers
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