Can someone tell me how to figure this out and the answer. (Brainliest I can give)

Mathematics

1 answer:

Vitek1552 [10]3 years ago

4 0

9514 1404 393

Answer:

x/50 = 40/100

x = 20

Step-by-step explanation:

It is useful to remember that the symbol % is a shorthand way to write /100. (Similarly, the symbol ‰ is a shorthand way to write /1000.) This means the number 40% represents the ratio 40/100. In decimal, that is 0.40 (forty hundredths).

When this is the fraction that represents the number of test questions that are correct, you can see that the proportion should be ...

correct / total questions = x / 50 = 40 / 100 . . . . the desired proportion

Multiplying by 50 gives the value of x:

x = 50(0.40)

x = 20 . . . . the value of x

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Explanation:
_____________________________________________________

All the answer choices given are written in "point-slope format" (also known as "slope-intercept format" — that is: " y = mx + b" .

All of the answer choices given have a slope of "-4" ; that is: "m = -4" .
_____________________________________________________
          The only answer choice with the equation that passes through point
"(-3, 1)" — that is, when "x = -3, y = 1"   — is:
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                    Answer choice: [D]: " y = - 4x − 13 " .
___________________________________________________
In the equation: " y = - 4x − 13 " ; when "x = - 3, y = 1" .
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Given: " y = - 4x − 13 " ;

↔   - 4x − 13 = y ;

Plug in "(-3)" for "x" ; and see that "y = 1" ;

         -4(-3) − 13 = y ;

          12 − 13 = y = -1 ;
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So, when x = -3, y = 1 .
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The correct answer is: [D]: " y = - 4x − 13 " .
___________________________________________
Consider choice: [A]: " y = - 4x + 13 " ;
Substitute "(-3)" for "x" and see if "y = -1" ;
-4(-3) + 13 = y ; 12 + 13 = 25 ; NOT "-3" .
______________________________________
Consider choice: [B]: " y = - 4x + 7 " ;
Substitute "(-3)" for "x" and see if "y = -1" ;
-4(-3) + 7 = y ; 12 + 7 = 19 ; NOT "-3" .
______________________________________
Consider choice: [C]: " y = - 4x − 7 " ;
Substitute "(-3)" for "x" and see if "y = -1" ;
-4(-3) − 7 = y ; 12 − 7 = 9 ; NOT "-3" .
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This leaves us with "Answer choice: [D]: " y = - 4x − 13 " ; the only remaining answer choice; which we have already confirmed is correct; so we do not need to check.
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Hope this helps!
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