the difference between two numbers is 9. the first number plus twice the other number is 27. find the two numbers


Answer 1
Answer: So,

Let's translate this into mathematical form.

x - y = 9
x + 2y = 27

Elimination by Addition
Divide both sides of the second equation by 2
(1)/(2)x + y = 13 (1)/(2)

Add the two equations together
(3)/(2) x = (45)/(2)

Multiply both sides by (2)/(3)
x =  (90)/(6) \ or \ 15

15 - y = 9

Subtract 15 from both sides
-y = -6
y = 6

15 - 6 = 9
9 = 9 This checks.

15 + 2(6) = 27

15 + 12 = 27
27 = 27 This also checks.

S = {(15,6)}
Answer 2
Answer: a-b=9    ......a=9+b

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Hey guys, I need help with this

Which of the following equations does not have a solution of x = 6?​



blue box x-22=28

Step-by-step explanation:

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Answer:the blue square since it would become -28

Step-by-step explanation:

There are 169 chairs in the gymnasium that need to be arranged in rows and columns. How can they be divided so that there are an equal amount of rows and columns?


By arranging the chairs in a 13x13 grid, it can achieve an equal number of rows and columns.

To divide the 169 chairs in the gymnasium into an equal amount of rows and columns, we need to find two factors of 169 that are as close to each other as possible.

The factors of 169 are 1, 13, and 169.

The closest factors are 13 and 13, which means we can arrange the chairs in 13 rows and 13 columns to have an equal amount of chairs in each row and column.

Thus, by arranging the chairs in a 13x13 grid, it can achieve an equal number of rows and columns.

Learn more about the Factorization here:


13 rows and columns

13 x 13= 169

815 gal/h=_______qt/sec


815 x 360 =  293,400 gal per second.

293,400 gal ÷ 4 quarts = 73,350 quarts per sec.

I'm fairly certain that's right - someone correct me if I'm mistaken.

The answer would be 0.19

The volume of a cylinder is 108 pie square meters and its height is 12 cm. What is the length of the cylinders radius?__cm


Answer: about 1.70

Step-by-step explanation:

if V=pi*r^2*h then you'll have 108=pi*r^2*12 so you divide by 12 and pi(3.14)and you square root and your left with your radius

Find the value of z



C. 50

Step-by-step explanation:

We are given ΔABC with an altitude BD as shown in the figure.

As it is known that,

'When an altitude is drawn from a right angle of a triangle, then all the three triangles are congruent.'

So, we get that ΔABC ≅ ΔABD ≅ CBD.

Since, the triangles are congruent, their corresponding sides and angles will be congruent.

Moreover, the ratio of the sides will be equal.

So, we get from ΔABC ≅ ΔABD,


i.e. AD=(AB* AB)/(AC)

i.e. 18=(30* 30)/(z)

i.e. 18=(900)/(z)

i.e. z=(900)/(18)

i.e. z = 50.

Hence, the value of z is 50.

Help me and fast! And please show work!




Step-by-step explanation:


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