# Course Grade You were 6 points shy of a B in yo 394. How many points were possible in the course? mathematics course. Your point total for the course was (Assume that you needed 80% of the course total for a B.)

3 weeks ago

## Solution 1

Guest #7253085
3 weeks ago

The point total possible for the given course is equal to 500.

What is a Percent?

• A ratio whose second term is 100 is known as a percent.
• Parts per hundred are used in percentages.
• The mathematical representation of percent is %.
• The percent formula is given as, $$x=p \times b$$, where b is the base number, x is the number being compared to b, and p is the percent in decimal form.

In the question, it is given that you were 6 points shy of a B and the current total points you have is 394.

So, the total number of points you require for a B is calculated as,

$$394+6=400$$

So, the value of x is 400.

It is given that you need 80% of the course total for a B.

$$\implies p=\frac{80}{100}\\ \implies p=0.8$$

Here, we have to find the base number (b).

We have, x = 80% of b

$$\implies x=0.8 \times b\\\implies 400= 0.8 \times b\\\implies x=\frac{400}{0.8}$$

Simplifying, we get

$$x=500$$

Therefore, 500 points were possible in the course.

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## ðŸ“š Related Questions

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The number of persons who own a dog but no cat is 24 - 7 = 17, while the total number of people who own a dog is 17 + 4 = 21.

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Step-by-step explanation:

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What type of variation does the following equation represent:
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The correct option is Joint variation, because there is not only diect variation or inverse variation.

What is variation in mathematics?

It gives the relationship between a set of variables with the other set of variables.

Consider the given equation.

R = kst / vÂ²

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Question
When you apply the method to complete the square to find the solution to the equation
2x^2 +3x +3=4
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A. 9
B. 9/4
C. 3/2
D. 9/16
Solution 1

B

Step-by-step explanation:

2xÂ²+3x=4-3=1

2xÂ²+3x=1

to make it a perfect square we divide the coeff of X by 2 then square it and add it to both sides

=(3/2)Â²=9/4

Question
Find the x-intercept of the line 7x+7y= â€“ 1.
Solution 1

(-1/7 ; 0)

Step-by-step explanation:

the line intercepts the x axis when y = 0

7x + 0 = -1

7x = - 1

7/7 x = -1/7

x = -1/7

Solution 2

The x intercept is -1/7

( -1/7 , 0)

Step-by-step explanation:

To find the x intercept, set y =0 and solve for x

7x+7y = -1

y =0

7x+7(0) = -1

7x +0 = -1

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Divide by 7

7x/7 = -1/7

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The x intercept is -1/7

( -1/7 , 0)

Question
When you apply the method to complete the square to find the solution to the equation
2x^2 +3x +3=4
What term should we sum/add on both sides of the equation?

A. 9
B. 9/4
C. 3/2
D. 9/16
Solution 1

B

Step-by-step explanation:

xÂ² + 3x + 3 = 4 ( subtract 3 from both sides )

xÂ² + 3x = 1

to complete the square

add ( half the coefficient of the x- term )Â² to both sides

xÂ² + 2( $$\frac{3}{2}$$ )x + ($$\frac{3}{2}$$ )Â² = 1 + ( $$\frac{3}{2}$$ )Â²

(x + $$\frac{3}{2}$$ )Â² + $$\frac{9}{4}$$ = 1 + $$\frac{9}{4}$$

that is $$\frac{9}{4}$$ is added to both sides

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