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makvit [3.9K]
3 years ago
6

Laura answered 27 questions correct on a test on her test and scored 90%. How many questions where on the test?

Mathematics
1 answer:
Nadya [2.5K]3 years ago
8 0

The number of questions in the test is 30

Step-by-step explanation:

Let's call the total number of questions in the test N.

We know that Laura answered 27 questions, and these 27 questions represent the 90% of the test.

Therefore, we can say that 27 is the 90% of N.

Re-writing the percentage as a fraction,

90\% = 0.90

This means that:

0.90 N = 27

And now we can solve for N to find the number of questions in the test:

N=\frac{27}{0.90}=30

Learn more about percentage:

brainly.com/question/82877

brainly.com/question/1834017

#LearnwithBrainly

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6) slope is 1, y-intercept is 3, equation in slope-intercept form:

y=x+3

7) Slope of the line that goes through the points (3,9) and (-5,3) is Slope=\frac{3}{4}

8) Slope = m= \frac{2}{3}

y-intercept = b= -4

Step-by-step explanation:

6) Create table of coordinate points:

x     y

-2    1

-1     2

0     3

1      4

2     5

Identify the slope:

Using formula:

Slope=\frac{y_2-y_1}{x_2-x_1}

Putting values:

Slope=\frac{2-1}{-1-(-2)}

Slope=\frac{1}{-1+2}

Slope=\frac{1}{1}

Slope=1

So, slope is 1

Identify y-intercept.

y-intercept is found when x=0, so, looking at the table when x = 0, y= 3 so, y-intercept is 3

Equation in the form: y=mx+b

here m is slope and b is y-intercept

Putting values:

y=mx+b\\y=1x+3\\or\,\,y=x+3

So, equation in slope-intercept form:

y=x+3

7) Find the slope of the line that goes through the points (3,9) and (-5,3)

Using formula:

Slope=\frac{y_2-y_1}{x_2-x_1}

Putting values:

Slope=\frac{3-9}{-5-(3)}

Slope=\frac{-6}{-5-3}

Slope=\frac{-6}{-8}

Slope=\frac{3}{4}

So, slope of the line that goes through the points (3,9) and (-5,3) is Slope=\frac{3}{4}

8) What is the slope and y-intercept of the following equation:

y=\frac{2}{3}x-4

The equation is in slope-intercept form

The general equation of slope-intercept form is:

y=mx+b

where m is slope and b is y-intercept

Comparing both equations we get:

Slope = m= \frac{2}{3}

y-intercept = b= -4

Keywords: Equation of line using Slope  

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