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3 years ago

Solve for x. 5+47(21+3x)=41

Mathematics

2 answers:

FinnZ [79.3K]3 years ago

7 0

5+47(24x)=41

52(24x)=41

24x=11

x=2.181818

Norma-Jean [14]3 years ago

3 0

Answer:

Step-by-step explanation:

Subtract 5 from each side

Youre left with: 47 (21 + 3x) = 36

Use distributive property.

47 * 21 = 987

3 * 74 = 141x

987 + 141x = 36

- 987 from each side

141x = -951

divide each side by 141

x = -6 35/47

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A cone and a cylinder have the same height and their bases are congruent circles

Anettt [7]

Answer:

$30cm^3$

Step-by-step explanation:

the volume of a cylinder is given by:

$v_{cylinder}=\pi r^2 h$

and the volume of a cone is given by:

$v_{cone}=\frac{\pi r^2 h}{3}$

since both have the same height and radius, we can solve each equation for $r^2h$ (because this quantity is the same in both figures) and then match the expressions we find:

from the cylinder's volume formula:

$r^2h=\frac{v_{cylinder}}{\pi}$

and from the cone's volume formula:

$r^2h=\frac{3 v_{cone}}{\pi}$

matching the two previous expressions:

$\frac{v_{cylinder}}{\pi} =\frac{3v_{cone}}{\pi}$

we solve for the volume of a cone $v_{cone}$ :

$v_{cone}=\frac{\pi v_{cylinder}}{3\pi} \\\\v_{cone}=\frac{v_{cylinder}}{3}$

substituting the value of the cylinder's volume $v_{cylinder}=90cm^3$

$v_{cone}=\frac{90cm^3}{3} \\\\v_{cone}=30cm^3$

5 0

4 years ago

Read 2 more answers

PLEASE HURRYYYY

MariettaO [177]

The equations for the coordinates of the endpoint F should be x = 2 · 35 - 15 and y = 2 · (- 3) - 26.

<h3>How to derive the equations for the missing endpoint of a line segment</h3>

In this problem we know the coordinates of the endpoint E and the midpoint M of the line segment EF and we need to derive expressions of the coordinates of the endpoint F by the midpoint formula:

M(x, y) = 0.5 · E(x, y) + 0.5 · F(x, y)

2 · M(x, y) = E(x, y) + F(x, y)

F(x, y) = 2 · M(x, y) - E(x, y)

If we know that M(x, y) = (35, - 3) and E(x, y) = (15, 26), then the coordinates of the endpoint F are:

F(x, y) = 2 · (35, - 3) - (15, 26)

F(x, y) = (70, - 6) + (- 15, - 26)

F(x, y) = (55, - 32)

The equations should be x = 2 · 35 - 15 and y = 2 · (- 3) - 26.

To learn more on midpoints: brainly.com/question/8943202

#SPJ1

3 0

1 year ago

Read 2 more answers

A comuter has $245 in his commuter savings account b. How much must he add to his account if he wants to have 20 weeks worth of

Arisa [49]

I guess it (5) I really not sure

4 0

4 years ago

Nolini says that if the denominator is more than twice the numerator, the fraction can always be replaced with a 0. Is she corre

Len [333]

Answer:

yes

Step-by-step explanation:

It depends on how accurate you want your answer to be, but basically yes, imagine we set our numerator to be x, and our denominator to be 2x, if we built our fraction we will get that:

$\frac{x}{2x}=\frac{1}{2}$

If the denominator of a fraction is exactly twice the numerator, then the fraction will be simplified to 1/2 or 0.5.

Now, the greater the denominator is, the closer the fraction will get to zero.

Take for example I had an fraction like this:

$\frac{3}{6}=0.5$

which approximates to 0. If we made the denominator bigger, let's say 7, we would get:

$\frac{3}{7}=0.43$

notice the answer is closer to 0 this time, so it's valid to round it to zero. If we made the denominator greater, let's say 25, we would get:

$\frac{3}{25}=0.12$

and so on. So it is true that if the denominator of a fraction is greater than twice the numerator, we can always replace the fraction with a 0 (depending on how accurate you want your answer to be).

5 0

3 years ago

The sum of 2 numbers is 22. three times one number is equal to ten more than the other. find the numbers

qwelly [4]

Translating that problem into an equation with x as a variable we get 3x + x +10 = 22. Combine like terms to get 4x + 10 = 22. Subtract 10 on both sides to get 4x = 12. Divide by 4 on both sides to get x = 3.

Now to plug in. The first number was represented by 3x. So substituting 3 for the x we get 3(3) = 9. And again for the second number represented by x+10, 3+10 = 13.

Your numbers are 9 and 13. To check just add them together. 13 + 9 is 22, I'll save ya the effort.

8 0

4 years ago