how do you do this Sophia scored 92% in a math test. If the test had 50 questions, how many did she get right?

Step-by-step explanation:

Basically 100% means she scored all 50 question correct.

Solution:

100% = 50 questions

1% = 50÷100 = 0.5

92/100 x 50 = 46

46

Step-by-step explanation:

percentage scored = 92

number of correct question = x

total number of questions = 50

The formula for calculating the percentage scored

= number of correct question / total number of questions x 100

That is

92 = \frac{x}{50}

50

x

x \frac{100}{1}

1

100

92 = \frac{100x}{50}92=

50

100x

cross multiplying :

100x = 92100x=92 x 5050

100x = 4600100x=4600

dividing through by 100 , we have

Therefore, she got 46 questions right

option 1 is correct.

step-by-step explanation:

y varies inversely with x and constant of variation is 4

the equation will be:

y = k/x

where k =4 so,

y = 4/x

if we put values of x of option 1 in the above equation and find values of y

y = 4/-2 => y =-2

y = 4/-1 => y = -4

y = 4/1 => y = 4

y = 4/2 => y =2

so, all the values of x and y are correct.

if we put values of x given in other options and find value of y we cannot find whole table satisfying the equation.

hence option 1 is correct.