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3 years ago

What is the solution to 2(6x+10)-3x=10-(x-2)

Mathematics

1 answer:

creativ13 [48]3 years ago

3 0

Answer:

The value of x is -4/5.

Step-by-step explanation:

First, you have to get rid of brackets, by expanding out :

2(6x+10) - 3x = 10 - (x-2)

2(6x) + 2(10) - 3x = 10 - x + 2

12x + 20 - 3x = 10 - x + 2

Next, is to bring all the x variable to one side :

12x + 20 - 3x = 10 - x + 2

12x - 3x + x = 10 + 2 - 20

10x = -8

Lastly, is to solve it by dividing 10 to both sides :

10x = -8

10x ÷ 10 = -8 ÷ 10

x = -4/5

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2 years ago

The diameter of a sphere is 12 inches.what is the volume of the sphere to the nearest cubic inch ?

miss Akunina [59]

Answer:

The volume of the sphere is 288π or 904.778 cubic inches.

Step-by-step explanation:

$given \\ diameter \: of \: sphere \: = 12 \: inches \\ radius \: of \: sphere \: = \frac{diameter}{2} \\ radius \: = \frac{12}{2} = 6 \: inches \\ volume \: of \: sphere \: = \frac{4}{3} \pi \: {r}^{3} \\ here \: r \: = \: 6 \: in \\ volume \: of \: sphere = \frac{4}{3} \pi \: {6}^{3} \\ \\ volume \: of \: sphere = \frac{4}{3} \pi \times 216 \\ \: \: = 4\pi \times 72 \\ \: \: = 288\pi \\ \: \: = 904.778 \: cubic \: inches$

HAVE A NICE DAY!

THANKS FOR GIVING ME THE OPPORTUNITY TO ANSWER YOUR QUESTION. 

4 0

2 years ago

What is ?l4 as a mixed number?

PSYCHO15rus [73]

Answer:

It's a whole number. It cannot be a mixed number. Anyways I would have to know the denominator.

3 0

2 years ago

1)Find the angle of elevation of the sun from the ground when a tree that is

KIM [24]

Answer:

$\theta=41.18^{\circ}$

Step-by-step explanation:

Given that,

The height of the tree, h = 14 ft

The height of the shadow, b = 16 ft

We need to find the angle of elevation of the sun from the ground. Let the angle be θ. We can use trigonometry to find it. So,

$\tan\theta=\dfrac{P}{B}\\\\\tan\theta=\dfrac{14}{16}\\\\\theta=41.18^{\circ}$

So, the required angle of elevation of the sun is equal to $41.18^{\circ}$ .

7 0

2 years ago

Write the equation of the line, in slope-intercept form, that contains the points (-1,-2) and (1,2)

Bad White [126]

Slope intercept is y=mx+b
m=slope
slope if found by
m=(y1-y2)/(x1-x2)
(x,y)
(-1,-2) and
(1,2)
x1=-1
y1=-2
x2=1
y2=2

m=(-1-1)/(-2-2)
m=-2/-4
m=1/2

y=1/2x+b
solve fo by subsituting one x value
(1,2)
x=1
y=2
2=1/2(1)+b
2=1/2+b
subtract 1/2
3/2=b

equation is
y=1/2x+3/2

4 0

2 years ago