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Lilit [14]
3 years ago
10

Solve for x.

Mathematics
2 answers:
Amiraneli [1.4K]3 years ago
7 0
Hey there,

3x =-39 right?

That means three multiplied by x is -39.

So we have to find x here right?

To do that we must isolate x in one side of the equation OK?

So what must we do to just have x on one side if the equation?
We can divide by three right?
That will give us just x one one side right?
So we divide by three and get x.

Now because it is an equation when you do something to one side you must do it to other other side too OK?

That means I you must divide by three on the other side too OK?
So -39 divided by three is -13 right?

Now we have x=-13

And we know exactly what x is,-13
So the answer is d,13

Hope this helps!!
PolarNik [594]3 years ago
5 0
-39/3= -13

You would do the opposite of multiplication since x is being multiplied by 3.

The opposite is division. 

All you need to do is balance the equation by dividing the 3 into both sides.

3(/3)x= -39(/3)

"D" is the correct answer.

I hope this helps!
~kaikers
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Geometry, plz help!
astra-53 [7]

Answer:

17. surface area ≈ 441.84

04π m² or  1387.38  m²

18. Ratio of volumes = 8/27

19. volume of the smaller solid = 339 yards³

Step-by-step explanation:

17 .

To find the surface area of the sphere we have to find the radius of the sphere first.

volume of a sphere = 4/3πr³

volume = 1548π m³

r = ?

volume of a sphere = 4/3πr³

1548π = 4/3 × π × r³

multiply both sides by 3/4

1548π × 3/4 = πr³

4644π/4 = πr³

1161π = πr³

divide both sides by π

r³ = 1161

cube root both sides

r = ∛1161

r = 10.5101942

r ≈ 10. 51

surface area of a sphere = 4πr²

surface area = 4 × π × 10.51²

surface area = 4 × 110.4601  × π

surface area = 441.8404π m²  

surface area = 441.8404 × 3.14 = 1387.378856  m² ≈ 1387.38 m²

18

If two figure or solid are similar with scale factor or ratio of x/y then the ratio of their volume is (x/y)³. If the ratio of of two similar prism is 2 : 3 the volume will be (2/3)³ = 8/27 .

19

If two solids are similar then the ratio of their surface area is the squared of the scale factor.

121/361 = (x/y)²

square root both sides

x/y = 11/19

If two solids are similar then the ratio of their volume is the cube of the scale factor.

(11/19)³ = a/1747

1331/6859  = a/1747

cross multiply

6859a = 2325257

divide both sides by 6859

a = 2325257/6859

a = 339.008164455

a ≈ 339 yards³

volume of the smaller solid ≈ 339 yards³

4 0
3 years ago
Assume that the two polygons are similiar, with the same orientation.
spin [16.1K]

Answer:

4/6=t/(t+1)

Step-by-step explanation:

4/6=t/(t+1)

8 0
3 years ago
It cost 5 dollars for a child ticket and 8 dollars for a adult ticket. Total tickets sold were 110 bringing in 820 dollars? How
omeli [17]

Number of child tickets bought is 20

<h3><u>Solution:</u></h3>

Given that It cost 5 dollars for a child ticket and 8 dollars for a adult ticket

cost of each child ticket = 5 dollars

cost of each adult ticket = 8 dollars

Let "c" be the number of child tickets bought

Let "a" be the number of adult tickets bought

Total tickets sold were 110 bringing in 820 dollars

<em>Number of child tickets bought + number of adult tickets bought = 110</em>

c + a = 110 ----- eqn 1

<em><u>Also we can frame a equation as:</u></em>

Number of child tickets bought x cost of each child ticket + number of adult tickets bought x cost of each adult ticket = 820

c \times 5 + a \times 8 = 820

5c + 8a = 820 -------- eqn 2

Let us solve eqn 1 and eqn 2 to find values of "c" and "a"

From eqn 1,

a = 110 - c  ------ eqn 3

Substitute eqn 3 in eqn 2

5c + 8(110 - c) = 820

5c + 880 - 8c = 820

-3c = - 60

c = 20

Therefore from eqn 3,

a = 110 - 20 = 90

a = 90

Therefore number of child tickets bought is 20

8 0
3 years ago
X-20 = y+20<br>2Y - 44 = X + 22<br>​
nordsb [41]

X-20 = Y+20........    X-Y = 20+20........

X-Y = 40

AND

2Y-44=X+22.............   Y-X= 44+22

Y-X=66

NOW, LET'S FIND X AND Y FROM THESE TWO EQUATIONS....

X-Y =40

Y-X= 66

IF WE COLLECT .......     2Y = 106 AND Y = 53

THEN, USE Y IN ANY EQUATIONS FOR FINDING X

X-53 = 40 ..... X= 53+40 .......... X= 93

X= 93

Y=53

8 0
3 years ago
Solve the problem.
marta [7]

Answer:

There will be 90 ways to reach Greenup from Charleston.

Step-by-step explanation:

<em>Option C: 90 is correct.</em>

Let's name all the ways and try to visualize the roads.

C = Charleston

M = Mattoon

T = Toledo

G = Greenup

Task = Charleston to Greenup. How many different ways to reach?

    1            1          

    2           2           1

C   3     M   3   T      2   G

     4           4           3

     5           5

                   6

So, Refer to this above diagram.

If we Start from C then go to 1 and then go to M and then go to 1 and then go to T and then go to 1 and then go G.

If you notice, in this single possibility we have 3 ways: C to 1 to M, M to 1 to T, T to 1 to G.

It means we will have: 5 x 6 x 3 = 90 number of ways to reach greenup from Charleston.

8 0
3 years ago
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