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2 years ago

For the given expression, which whole number (w) will make the expression true? 5/6

Mathematics

1 answer:

Sonja [21]2 years ago

7 0

Answer:

D. 7

Step-by-step explanation:

The question is incomplete. Here is a possible complete question

For the given expression, which whole number (w) will make the expression true? 5/6 < w/6

A. 3

B. 4

C. 5

D. 7

Given the inequality expression:

5/6 < w/6

Cross multiply

5×6 < 6×w

30<6w

Divide both sides by 6

30/6 = 6w/6

5<w

Reciprocate both sides(this will change the sense of the inequality)

1/5>1/w

Cross multiply

w > 5×1

w>5

This shows that the value of w is a value greater than 5 but not 5. According to the option, the only value greater than 5 is 7. Hence the whole number (w) that will make the expression true is 7

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Write a proportion to find how many points x a student needs to score on a test worth 50 points to get a test score of 78%.

olganol [36]

The answer is: "39 points" .
_______________________________________________________
Explanation:
_______________________________________________________
" x/ 50 = 78/100 " ; in which "x" equals the number of points needed.

_______________________________________________________

To solve for "x" ;
_______________________________________________________

Look at the denominators: 50 * (what value?) = 100.

→ "100 ÷ 50 = 2" .

→ So; "50 * 2 = 100" ;

So, let us look at the numerators:

x * 2 = 78 ;

↔ 2x = 72 ;

Divide each side of the equation by "2" ; to isolate "x" on one side of the equation ; and to solve for "x" ;
_____________________________________________
→ 78 ÷ 2 = 39 ;

The answer is: "39 points" .
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