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3 years ago

10

The sum of 10and 7 to the difference of a number and 12

1 answer:

anzhelika [568]3 years ago

5 0

( 10 +7) - x = 12
17 - x = 12
- x = 12 - 17
- x = - 5
x = 5

17 - 5 = 12

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Mr. Mandel gave his class 12 minutes to read. 5 1/2 pages in that time. At what rate, in pages per hour, did Claire read?

Eva8 [605]

5 1/2 pages in 12 minutes.
11/2 pages in 12 minutes

How many pages in an hour?
well, an hour has 60 minutes

Let's write a proportion
11/2 / 12 = x/60
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Read 2 more answers

RS=2x-8, ST = 11, RT = x+10

ziro4ka [17]

Answer:

$Equation~=~\Large\boxed{2x+3=x+10}$

$x~=~\Large\boxed{7}$

$RS~=~\Large\boxed{6}$

$RT~=~\Large\boxed{17}$

Step-by-step explanation:

<u>Given information</u>

$RS=2x-8$

$ST=11$

$RT=x+10$

<u>Derived expression from the given information</u>

<em>Presumably, I think this is a combination of segments</em>

$RS+ST=RT$

<u>Substitute values into the given expression</u>

$(2x-8)+(11)=(x+10)$

<u>Combine like terms</u>

<em>The following is the expression</em>

$\Large\boxed{2x+3=x+10}$

<u>Subtract 3 on both sides</u>

$2x+3-3=x+10-3$

$2x=x+7$

<u>Subtract x on both sides</u>

$2x-x=x+7-x$

$\Large\boxed{x=7}$

<u>Substitute the x value into corresponding expressions to determine the final value</u>

$RS=2x-8=2(7)-8=14-8=\Large\boxed{6}$

$RT=x+10=(7)+10=\Large\boxed{17}$

Hope this helps!! :)

Please let me know if you have any questions

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