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Bas_tet [7]
3 years ago
11

Sara solved the equation -6(x-2) + 3x = -3(x+3) + 21 What is the solution? pls help :)

Mathematics
1 answer:
kirill115 [55]3 years ago
6 0

To solve you can use inverse operations.

Here are the steps to find the answer:

1. Write out the equation: -6(x-2)+3x= -3(x+3) +21

2. Distribute both sides: -6x+12+3x= -3x-9+21

3. Simplify both sides: -3x+12=-3x+12

4. This equation is true for all values, or infinity, because the equation is the same on both sides

Let me know if you need further explanation. I hope this helps.

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kkurt [141]

Answer:

100 1/4

Step-by-step explanation:

8 0
3 years ago
Find the mean, median, mode, and range of this data: 49, 49, 54, 55, 52, 49, 55. If necessary, round to the nearest tenth.
krok68 [10]

Answer:

Mean = 51.4.

Mode = 49.

Median = 52.

Range = 6.

Step-by-step explanation:

Mean = Sum of all observations / Number of observations.

Mean = (49+49+54+55+52+49+52)/7

Mean = 360/7

Mean = 51.4 (to the nearest tenth).

Mode = The most repeated values = 49 (repeated 3 times).

Range = Largest Value - Smallest Value = 55 - 49 = 6.

Median = The central value of the data.

First, arrange the data in the ascending order: 49, 49, 49, 52, 54, 55, 55.

It can be seen that the middle value is 52. Therefore, median = 52!!!

7 0
3 years ago
Keisha solved the following equation: 4x − 2x + 8 = 6(x + 4) Step Work Justification 1 2x + 8 = 6(x + 4) Combine like terms 2 2x
kolbaska11 [484]

4x - 2x + 8 = 6(x + 4)   Given

(4x - 2x) + 8 = 6(x + 4)

2x + 8 = 6(x + 4)     Combine like terms

2x + 8 = (6)(x) + (6)(4)

2x + 8 = 6x + 24    Distributive Property

2x - 6x + 8 = 6x - 6x + 24

-4x + 8 = 24      Subtraction Property of Equality

-4x + 8 - 8 = 24 - 8

-4x = 16    Subtraction Property of Equality

-4x : (-4) = 16 : (-4)

x = -4       Division Property of Equality

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3 years ago
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ZanzabumX [31]

Answer:

648pi

Step-by-step explanation:

V=pi*r^2*h

V=pi*9^2*8

V=pi*81*8

V=648pi

7 0
3 years ago
The equation 9 x 2 − 12 x + 4 = 0 9 x 2 − 12 x + 4 = 0 has how many different solutions?
Hatshy [7]

We have the equation:

9x^2-12x+4=0

so:

a=9\qquad b=-12\qquad c=4

and:

\Delta=b^2-4ac=(-12)^2-4\cdot9\cdot4=144-144=\boxed{0}

This equation has one solution.

5 0
3 years ago
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