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Airida [17]
3 years ago
15

What are the solutions to 6(x - 5) = 12 and 6y - 5 = 12?

Mathematics
1 answer:
zepelin [54]3 years ago
7 0

Answer:x=7

y=2 5/6

Step-by-step explanation:

6(x-5)=12

6x-30=12

6x=12+30

6x=42

6x/6=42/6

x=7

6y-5=12

6y=12+5

6y=17

6y/6=17/6

y=2 5/6

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Please answer both with work,please use a paper and picture, thanks ​
Irina-Kira [14]

Answer:

a.  $ \frac{\textbf{17}}{\textbf{4}} $

b.  $ \frac{\textbf{3}}{\textbf{8}} $

Step-by-step explanation:

a. $ \textbf{3} \hspace{1mm} \textbf{+} \hspace{1mm} \textbf{1}\frac{\textbf{1}}{\textbf{4}} $

A mixed fraction of the form $ a\frac{x}{y} = a + \frac{x}{y} $

$ \therefore 3 + 1\frac{1}{4} = 3 + 1 + \frac{1}{4} $

$ = 4 + \frac{1}{4} $

$ = \frac{\textbf{17}}{\textbf{4}} $

b. $ \textbf{2} \hspace{1mm} \textbf{-} \hspace{1mm} \textbf{1}\frac{\textbf{5}}{\textbf{8}} $

A mixed fraction of the form $ -c\frac{a}{b} = - c - \frac{a}{b} $

$ \therefore 2 - 1\frac{5}{8} = 2 - 1 - \frac{5}{8} $

$ = 1 - \frac{5}{8} $

$ = \frac{8 - 5}{8} $

$ = \frac{\textbf{3}}{\textbf{8}} $

Hence, the answer.

8 0
4 years ago
Dan says he ran twice as far as Karim what possiblities for the distance they each could run
Lelechka [254]
If Karim ran one mile, Dan ran two miles.
If Karim ran three miles, Dan ran six miles.
5 0
3 years ago
Evaluate the expression shown below and write your answer as a fraction in simplest form. 1 - 5 ———————- 1 1 — + —- 12 8
koban [17]

Answer:

9/14

Step-by-step explanation:

The question is not clear enough. Here is a similar question as shown in the attachment

Given the expression

-3/2 ÷ -7/3

= -3/2 ×-3/7

= (-3*-3)/(2*7)

= 9/14

Hence the equivalent result expressed as a fraction is 9/14

4 0
3 years ago
The product of 162 and m is the same as 17
elena-s [515]

Answer:

No

Step-by-step explanation:

Just took a test

5 0
4 years ago
Y = 6x + 11<br> 2х - Зу = 7
irakobra [83]

9514 1404 393

Answer:

  (x, y) = (-2.5, -4)

Step-by-step explanation:

Since you are given an expression for y, it is convenient to substitute that into the second equation.

  2x -3(6x +11) = 7

  2x -18x -33 = 7

  -16x = 40 . . . . . . add 33

  x = -40/16 = -2.5

Using the equation for y, we find ...

  y = 6(-2.5) +11 = -15 +11 = -4

The solution is (x, y) = (-2.5, -4).

8 0
3 years ago
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