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3 years ago

"The quotient of a number and 5" is the same as.

Mathematics

1 answer:

MatroZZZ [7]3 years ago

4 0

N/5 hope this helps :)

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Find four numbers that form a geometric progression such that the third term is greater than the first by 12 and the fourth is g

olchik [2.2K]

If $x$ is the first number in the progression, and $r$ is the common ratio between consecutive terms, then the first four terms in the progression are

$\{x,xr,xr^2,xr^3\}$

We want to have

$\begin{cases}xr^2-x=12\\xr^3-xr=36\end{cases}$

In the second equation, we have

$xr^3-xr=xr(r^2-1)=36$

and in the first, we have

$xr^2-x=x(r^2-1)=12$

Substituting this into the second equation, we find

$xr(r^2-1)=12r=36\implies r=3$

So now we have

$\begin{cases}9x-x=12\\27x-3x=36\end{cases}\implies x=\dfrac32$

Then the four numbers are

$\left\{\dfrac32,\dfrac92,\dfrac{27}2,\dfrac{81}2\right\}$

4 0

3 years ago

Which is a solution for 7 (x + 2) = 35? A. -2 B. 7/33 C. 3 D. 5 E. 26

enot [183]

7(x+2) = 35

Use the distributive property:

7x + 14 = 35

Subtract 14 from each side:

7x = 21

Divide both sides by 7:

x = 21 / 7

X = 3

The answer is C. 3

4 0

3 years ago

Read 2 more answers

Geometric mean between 9 and 36

nlexa [21]

I've actually just learned this. We would set up the proportion as X/9=36/X so after we cross multiply we get x^2=324. Then we find the square root of both sides to simplify. And using my calculator the square root of x^2 is just x. And the square root of 324 is 18. So the final answer is x=18 or the geometric mean is 18.

4 0

3 years ago

Three interior angles of a polygon are,100degrees,120degrees,and 108degrees.Find the remaining two sides,if one of them is three

k0ka [10]

Answer:

Joe Mama :))))))))))))))))))))))

Step-by-step explanation:

8 0

3 years ago

Can anybody help me out with this?

kupik [55]

9 hours and 35 min.
11:50 - 2:15