A friend has a 83% average before the final exam for a course. That score includes everything but the final, which counts for 25% of the course grade. What is the best course grade your friend can earn? % What is the minimum score would your friend would need on the final to earn a 75% for the course? %

Answers

Answer 1

Answer:

[tex]\mathrm{Best\:course\:grade\:possible:\:}87.25\%,\\\mathrm{Minimum\:score\:on\:final\:to\:earn\:at\:least\:a\:75\%\:for\:the\:course:\:}51\%[/tex]

Step-by-step explanation:

Assuming the maximum score for the final is [tex]100\%[/tex], we can multiply each score by its respective course weight and add them together to give a final score. If your friend did receive this maximum score of [tex]100\%[/tex], their overall grade for the course would be:

[tex]83(1-0.25)+100(0.25)=\fbox{$87.25\%$}[/tex].

To find the minimum score they need to earn a 75% for the course, we set up the following equation:

[tex]83(1-0.25)+x(0.25)=75[/tex], where [tex]x[/tex] is the minimum score she needs.

Solving, we get:

[tex]62.25+x(0.25)=75,\\x(0.25)=12.75,\\x=\fbox{$51\%$}[/tex].


Related Questions

A $890 computer loses value at a rate of about $25 per month. Equation Y equals 890-25X represents the value of the computer after X months. Identify and interpret the x and y intercepts. Explain how you can use the intercepts to help you graph the equation

Answers

Answer:

x-int. (35.6, 0)

represents number of

yrs before computer has

no value; y-int. (0, 890)

represents initial value;

Plot intercepts, draw

line through them.

Step-by-step explanation:

PLEASE I BEG YOU I BEGG ANYBODY HELP ME WITH THIS

Answers

Answer:

Step-by-step explanation:

With what?

ok I'll help but I don't know the question can you please tell me the question first

Need help ASAP
Write an algebraic expression to represent the verbal expressions

Answers

Answer:

4*x^2+5x

Explanation:

A miniature golf course has a special group rate. You can pay $20 plus $3 per person when you have a group of 5 or more friends. Let be the number of friends and be the total cost.

1) Determine which variable is independent and which is dependent.

2) Write an equation that models the situation.

Please help me.

Answers

1 - Dependent Variable

2- 3x + 20 = 35

Anne has 5 pints of milk and is planning to make 6 cakes to sell in fundraising. Each cake will require 112 cups of milk. Does she have enough milk to make the 6 cakes? If so, how many cups of milk will be left, and if not, how many extra cups of milk would she need?


Yes she has enough milk; She will have 1 extra cup of milk.


No she does not have enough milk; She will need 1 more cup of milk.


Yes she has enough milk; She will have 112 extra cups of milk.


No she does not have enough milk; She will need 412 extra cups of milk.

Answers

Answer:

Option (1)

Step-by-step explanation:

Each cake requires cups of milk = [tex]1\frac{1}{2}[/tex] cups ≈ 1.5 cups

6 cakes will require milk = 6 × 1.5

                                         = 9 cups

Anne has milk = 5 pints

∵ 1 pint = 2 cups

∴ 5 pints = 10 cups

Therefore, Anne has milk = 10 cups

Extra amount of milk Anne has = 10 - 9 = 1 cup

Hence, Answer is yes, she has enough milk. She will have 1 extra cup of milk.

Option 1 will be the answer.

STMolciatio
saisi savo
Paintinoindiadoc
7
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को
Incouvarior
3

Answers

Answer:I do not speak

Step-by-step explanation: if u answer them all you get I do not speak I hope this helped :)

The point (-3, 8) is translated using the rule (x + 5, y – 7). The new point is

Answers

Answer:

(2, 1)

Step-by-step explanation:

Initial point:

(-3, 8)

Translation rule:

(x + 5, y - 7)

Translated point:

(-3 + 5, 8 - 7) = (2, 1)

For the system of equations that follows, use Gaussian elimination to obtain an equivalent system whose coefficient matrix is in row echelon form. Indicate whether the system is consistent. If the system is consistent and involves no free variables, use back substitution to find the unique solution. If the system is consistent and there are free variables, transform it to reduced row echelon form and find all solutions.

x₁ + 3x₂ + x₃ + x₄ = 3;
2x₁ - 2x₂ + x₃ + 2x₄ = 8;
x₁ - 5x₂ + x₄ = 5

Answers

Answer:

[tex]\begin{Vmatrix}1 & 0 & 0& 46/41 &180/41\\0 & 1 & 0&1/41 &-5/41\\0&0 & 1 & -8/41& -42/41\end{Vmatrix}[/tex]

Step-by-step explanation:

From the question we are told that

System of equations given as

x₁ + 3x₂ + x₃ + x₄ = 3;

2x₁ - 2x₂ + x₃ + 2x₄ = 8;

x₁ - 5x₂ + x₄ = 5

Matrix form

[tex]\begin{Vmatrix}1 & 3 & 1&1&3\\2 & -2 & 1&2&8\\0&1 & -5 & 1& 5\end{Vmatrix}[/tex]  [tex]\begin{Vmatrix}x_1\\x_2\\x_3\\x_4\end{Vmatrix}[/tex]

Generally the echelon reduction is mathematically applied as

[tex]\begin{Vmatrix}1 & 3 & 1&1&3\\2 & -2 & 1&2&8\\0&1 & -5 & 1& 5\end{Vmatrix}[/tex]

Add -2 times the 1st row to the 2nd row

[tex]\begin{Vmatrix}1 & 3 & 1&1&3\\0 & -8 & -1&0&2\\0&1 & -5 & 1& 5\end{Vmatrix}[/tex]

Multiply the 2nd row by -1/8  

[tex]\begin{Vmatrix}1 & 3 & 1&1&3\\0 & 1 & 1/8&0&-1/4\\0&1 & -5 & 1& 5\end{Vmatrix}[/tex]

Add -1 times the 2nd row to the 3rd row

[tex]\begin{Vmatrix}1 & 3 & 1&1&3\\0 & 1 & 1/8&0&-1/4\\0&0 & -41/8 & 1& 21/4\end{Vmatrix}[/tex]

Multiply the 3rd row by -8/41

[tex]\begin{Vmatrix}1 & 3 & 1&1&3\\0 & 1 & 1/8&0&-1/4\\0&0 & 1 & -8/41& -42/41\end{Vmatrix}[/tex]

Add -1/8 times the 3rd row to the 2nd row

Add -1 times the 3rd row to the 1st row

[tex]\begin{Vmatrix}1 & 3 & 0&49/41&165/41\\0 & 1 & 0&1/41 &-5/41\\0&0 & 1 & -8/41& -42/41\end{Vmatrix}[/tex]

Add -3 times the 2nd row to the 1st row

[tex]\begin{Vmatrix}1 & 0 & 0& 46/41 &180/41\\0 & 1 & 0&1/41 &-5/41\\0&0 & 1 & -8/41& -42/41\end{Vmatrix}[/tex]

8. There are 7 cars for every 5 trucks. If there are 21 cars, how
many trucks are there?
O a) 10
O b) 7
O c)15
O d) 62

Answers

Answer:

c)15

Step-by-step explanation:

21 divided by 7 is 3

5 times 3 is 15

Answer:

The answer is 15.

Step-by-step explanation:

that's the answer to me

I will give brainiest to whoever answers correctly !!

Answers

B is the best answer

(click photo) HELP FAST!!

Answers

Answer:

13 inches

Step-by-step explanation:

Shaded area is a triangle.

area of triangle = 0.5(base)(height) = 0.5(16)(y) = 104

y = 13 inches

Which equation describes the function represented by the table?

y = x - (-11)

y = 4x + 6

y = -7x - 5

y = -3x + 9

Answers

Answer:

[tex]\displaystyle y=-7x-5[/tex]

Step-by-step explanation:

Equation of the Line

The equation of a line passing through points (x1,y1) and (x2,y2) can be found as follows:

[tex]\displaystyle y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]

We'll take the first two points (-2,9) and (-1,2)

[tex]\displaystyle y-9=\frac{2-9}{-1+2}(x+2)[/tex]

Operating:

[tex]\displaystyle y-9=\frac{-7}{1}(x+2)[/tex]

[tex]\displaystyle y-9=-7(x+2)[/tex]

[tex]\displaystyle y-9=-7x-14[/tex]

Adding 9:

[tex]\boxed{\displaystyle y=-7x-5}[/tex]

Substituting the last two points we can verify they also belong to the line.

You roll a 6-sided die.
What is P(not factor of 35)?
Simplify your answer and write it as a fraction or whole number.

Answers

Answer:

[tex]\huge\boxed{\text{P(not factor of 35) = } \frac{2}{3}}[/tex]

Step-by-step explanation:

We can use basic probability to find the probability that this roll is not a factor of 35.

First off, we know that with a six sided die there are 6 possible things we can roll.

1, 2, 3, 4, 5, or 6

Now, what are the factors of 35? The factors of 35 will be any whole number that can be multiplied by another whole number to get 35.

We know [tex]1 \cdot 35 = 35[/tex], so two factors are 1 and 35.We know [tex]5 \cdot 7 = 35[/tex], so two factors are 5 and 7.

Therefore, the factors of 35 are 1, 5, 7, 35.

Both 5 and 7 are inside the range of 1-6. So the probability of rolling a side that's a factor of 35 will be  [tex]\frac{2}{6} = \frac{1}{3}[/tex] since there are two factors and 6 possible options.

This means, logically, there is a  [tex]\frac{4}{6} = \frac{2}{3}[/tex]  chance of not rolling a factor of 35.

Hope this helped!

Is 18 and 0.3 equivalent

Answers

Answer:

No

Step-by-step explanation:

Because 0.3 is a decimal and 18 is a whole number.

0.3 = 3/10 which is 30%

Which of the following is not one of the ways to represent a function?


A) Words


B) Tables


C) Domains


D) Graphs


Thank you! :D

Answers

Words, or option A.

i hope this helps (:

Answer:

It's C - Domains

Step-by-step explanation:

80p - 8 + 4p collecting like terms

Answers

Answer:

84p-8

Step-by-step explanation:

Answer:

84p - 8

Step-by-step explanation:

80p - 8 + 4p

combine like terms, 80p and 4p

84p - 8

Find the prime factorization of 48.

Is almost due I will give brainliest please help!! :(

Answers

Answer:

The prime factorization of 48 is 2 × 2 × 2 × 2 × 3.

a scale drawing of a room is shown below

Answers

150 ft squared is the answer

Dr. Fisher is researching the growth of a culture of bacteria. He records the count of bacteria, y, after x hours. He wants to determine whether there is a relationship between the amount of time passed and the count of bacteria. He finds that the linear model that best fits the data is

Answers

Answer:

its B hope this helps:))

Step-by-step explanation:

Answer:

its B

Step-by-step explanation:

im smart

PLEASE HELP ME PLEASE HELP ME PLEASE HELP ME PLEASE HELP ME​

Answers

Answer:

I would have to say the first answer.

Step-by-step explanation:

(8.02) The coordinate grid shows the plot of four equations.
which set of equations has (2,2) as its solution?

Answers

Answer:

B and C

Step-by-step explanation:

As per graph the lines B and C intersect at point (2, 2) so it the solution of system with those lines

What is the domain of f/g, given f(x)= x+6 and g(x) = x-5?

Answers

Answer:

(-infinity, infinity)

Step-by-step explanation:

There are 4 boys and 6 girls playing at the park. The ratio of boys to girls at the park
can be expressed as the simplified ratio . What is the missing number?

Answers

Answer:

2:3 is the simplified ratio

which set of points on the graph represents equivalent ratios.​

Answers

Answer:

Points B,C and D

Step-by-step explanation:

Hope I helped :)

Answer:

Hello and (B) is correct and I would like to say GREAT JOB for the one above me.

Step-by-step explanation:

Your welcome and have a nice day. No bad day. :)

The table below shows the cost of a pizza with added toppings.
Cost of Pizza
$7.99 $8.99 $9.99
$9.99 $10.99
Number of Toppings 1
2
3.
4
Which variable represents the independent variable?
-the cost of the pizza
-the number of toppings

Answers

Answer:

the number of toppings

Step-by-step explanation:

cause the pizza the same but different amount of toppings

For a science experiment, Jack adds 1 tsp of salt to 3 tsp of water. Mika adds 4 tsp of salt to 9 tsp of water. Whose water is saltier?

Answers

mika because if you make the water amounts the same you would multiply the 1/3 by 3 and it would be 3/9 and mika’s is 4/9 so her water is saltier

The person whose water is saltier is Jack's water.

What is a unit rate?

It is the quantity of an amount of something at a rate of one of another quantity.

In 2 hours, a man can walk for 6 miles

In 1 hour, a man will walk for 3 miles.

We have,

Jack adds 1 tsp of salt to 3 tsp of water.

This means,

3 tsp of water = 1 tsp of salt

Divide both sides by  3.

1 tsp of water = 1/3 tsp of salt

1 tsp of water = 0.33 tsp of salt ____(1)

Mika adds 4 tsp of salt to 9 tsp of water.

9 tsp of water = 4 tsp of salt

Divide both sides by 9.

1 tsp of water = 4/9 tsp of salt

1 tsp of water = 0.0092 tsp of salt ____(2)

From (1) and (2) we see that,

Jack's water is saltier.

Thus,

Jack's water is saltier.

Learn more about unit rates here:

https://brainly.com/question/11258929

#SPJ2

help me plz One line of text on a page uses about 4/15 of an inch. There are 0.5-inch margins at the top and bottom of a page. Write and solve an inequality to find the number of lines that can be typed on a page that is 17 inches long.

Answers

Answer:

60 lines can be typed in the page

Step-by-step explanation:

Given:

Length of the page  = 17 inches

Length of the margin = 0.5-inch

length of one line  = 4/15

To Find:

The number of lines that can be typed on a page

Solution:

Let the number of line  that can be typed be  n

then

n <=  

the top and bottom margins are 0.5 inches each

so we will be having

=>  

=>

=>

=>

=>

solve 1/2x + 6y = 12 y = x + 15

Answers

The value of x is -12.07, and y is 3.07 for equation 1/2x + 6y = 12, y = x + 15.

We have to solve the given equations,  1/2x + 6y = 12 y = x + 15.

Equation; 1/2x + 6y = 12 and y = x + 15.

The given equations are solved by using the elimination method following all the steps given below.

The equations are,

[tex]\dfrac{1}{2}x + 6y = 12\\\\y = x+15[/tex]

Substitute the value of y in equation 1 from equation 2,

[tex]\dfrac{1}{2}x + 6(x+15) = 12\\\\\dfrac{1}{2}x + 6x + 90 = 12\\\\\dfrac{x+12x+180}{2} = 12\\\\13x + 181 = 12 \times 2\\\\13x + 181 = 24\\\\12x = 24-181\\\\12x = -157\\\\x = \dfrac{-157}{13}\\\\x = -12.07[/tex]

Substitute the value of x in equation 2,

[tex]y =- 12.07+15\\\\y = 3.07[/tex]

Hence, The required value of x is -12.07, and y is 3.07 for equation 1/2x + 6y = 12, y = x + 15.

To know more about the Elimination method click the link given below.

https://brainly.com/question/1148245

A triangle has sides with lengths of 8 miles, 15 miles, and 18 miles. Is it a right triangle?​

Answers

Answer:

No

Step-by-step explanation:

for it to be a right triangle, a² + b² = c². C must be the larger of the 3 sides, which in this case is 18. if you substitute 8 for a and 15 for b, you do not get C = 18, meaning that this is not a right triangle

please help for both will give brainly

Answers

Answer:

lol 60 because there is a 40% chance out of 100% because its chances and not like a store! its chances so its 100% not productivity which leads to an infinite number

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