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Alchen [17]
3 years ago
8

Which equation is true for x = 6? A) 2x + 5 = 25 B) 3x + 5 = 17 C) 5x − 18 = 7 D) 6x − 10 = 26

Mathematics
1 answer:
Anit [1.1K]3 years ago
4 0
D is the answer.
6×6-10=26
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The variable y is directly proportional to the variable x. If y = 32 when x = 20, what is the value of x when y = 40?
elena55 [62]

Answer:

The Correct option is C ) 25

Therefore the value of x is 25 when y =40.

Step-by-step explanation:

Given:

Variable 'y' is directly proportional to the variable 'x'.

\therefore y=kx     ......Direct Variation

Where,

k = Constant of proportionality

To Find:

value of x = ? when y = 40

Solution:

First we need to find Constant of proportionality

When x = 20 and y = 32

Substituting the values we get

32=k\times 20\\k=\dfrac{32}{20}=1.6\\\\k=1.6

Now when k =1.6 , y = 40 then x will be

40=1.6\times x\\\\x=\dfrac{40}{1.6}=25\\\\x=25

Therefore the value of x is 25 when y =40.

6 0
3 years ago
Solve for m in V = 3x + 2m - y.
jok3333 [9.3K]

Answer:

\large\boxed{m=\dfrac{V+y-3x}{2}}

Step-by-step explanation:

3x+2m-y=V\qquad\text{add}\ y\ \text{to both sides}\\\\3x+2m-y+y=V+y\\\\3x+2m=V+y\qquad\text{subtract}\ 3x\ \text{From both sides}\\\\3x-3x+2m=V+y-3x\\\\2m=V+y-3x\qquad\text{divide both sides by 2}\\\\\dfrac{2m}{2}=\dfrac{V+y-3x}{2}\\\\m=\dfrac{V+y-3x}{2}

8 0
3 years ago
4x + y = 10<br> 7x + 2y = 17
Nezavi [6.7K]

Answer:

x = 3, y = - 2

Step-by-step explanation:

By substitution method,

4x + y = 10 -------> equation 1.

7x + 2y = 17 -------> equation 2.

From equation 1,

y = 10 - 4x ------> equation 3.

Substitute equation 3 in 2,

7x + 2 ( 10 - 4x ) = 17

7x + 20 - 8x = 17

7x - 8x = 17 - 20

- x = - 3

x = 3

Substitute x = 3 in equation 1,

4 ( 3 ) + y = 10

12 + y = 10

y = 10 - 12

y = - 2

Hence,

x = 3

y = - 2

6 0
2 years ago
Read 2 more answers
Find the area of the shaded region
ale4655 [162]

Answer:

379.56ft²

Step-by-step explanation:

Oh lordy why, okay we got this:

So we're going to start with the area of the square, this is easy because all of the sides are 25ft, so we just have to plug into our formula for squares (base x height):

25 x 25 = 625

Now we have to do the semicircle, remember that the formula for the area of a circle is pi x radius², we're using 3.14 for pi, so we have to find the radius (half the diameter):

25 ÷ 2 = 12.5

12.5² = 156.25

3.14 x 156.25 = 490.625‬

Normally we would stop here, but because this is only a semicircle, we have to divide by two:

490.625‬ ÷ 2 = 245.3125‬

So, now that we have our two areas, we have to subtract the semicircle from the square:

625 - 245.3125‬ = 379.6875‬

Now, I realize that his answer isn't in your cute little word bank, but that because I rounded pi, so the closest is 379.56

So, the area of the figure is 379.56ft²

if this is wrong let me know so I can fix it

hope this helps:)

5 0
3 years ago
Sean has to face a big problem but he becomes stronger as a result which saying best summarizes the change in Sean?
adell [148]

Answer:

D.) Every cloud has a silver lining!

Step-by-step explanation:

Hope this helps!

5 0
3 years ago
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