In a class in which the final course grade depends entirely on the average of four equally weighted 100-point tests, Paul has scored 75, 80, and 91 on the first three. What range of scores on the fourth test will give Paul a C for the semester (an average between 70 and 79, inclusive)? Assume that all test scores have a non-negative value.

Answers

Answer 1

Answer:

Scores between 34 and 70 on the fourth test will give Paul a C for the semester.

Step-by-step explanation:

The average is given by the sum of all scores divided by the number of scores.

In this question:

Sum of all scores: 75 + 80 + 91 + x = 246 + x

Number of tests : 4

Grade of 70:

[tex]\frac{246 + x}{4} = 70[/tex]

[tex]246 + x = 280[/tex]

[tex]x = 280 - 246[/tex]

[tex]x = 34[/tex]

Grade of 79:

[tex]\frac{246 + x}{4} = 79[/tex]

[tex]246 + x = 316[/tex]

[tex]x = 316 - 246[/tex]

[tex]x = 70[/tex]

Scores between 34 and 70 on the fourth test will give Paul a C for the semester.


Related Questions

the temperature outside is -4 is that colder or warmer temperature how do you know

Answers

Answer:

it would be colder because its negative

Step-by-step explanation:

Answer:

Well, it would depend on the type. In farenheight it would mean colder.

Step-by-step explanation:

In studies, it shows that below 30 degrees in farenheight is colder. Also meaning that it's below freezing temperature.

Need help please. I answer 3.5 quarts and 2 oz, but the answer is wrong. I don't know why.. Please help me out... Thank you.
Note: I used this 1 quartz = 2 pints
and 1 gallon = 4 quarts = 8 pints....I either convert from gallon to pints then convert back to quart ( for before and after), or convert from gallon to quart directly.

Answers

Answer:

i think its 32 pints

Step-by-step explanation:

im pretty sure but sorry if im wrong ❤️

The remaining honey in the beehive is 4 gallons and 2 quarts, or 4 quarts and 2 ounces.

we need to convert the given measurements to quarts and ounces and then subtract them from the original 5 gallons.

1 gallon is equal to 4 quarts, and 1 quart is equal to 32 ounces.

4 gallons can be converted to quarts by multiplying by 4:

4 gallons × 4 quarts/gallon = 16 quarts

1 pint is equal to 2 cups, and 1 cup is equal to 8 fluid ounces.

1 pint and 2 ounces can be converted to ounces:

1 pint × 2 cups/pint × 8 ounces/cup = 16 ounces

2 ounces (already in ounces) = 2 ounces

Now, let's add up the converted measurements:

16 quarts + 16 ounces + 2 ounces = 16 quarts and 18 ounces

To find the remaining honey, we subtract the converted measurements from the original 5 gallons:

5 gallons - 16 quarts - 18 ounces = 4 gallons and 2 quarts

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A grey squirrel population was introduced in a certain county of Great Britain 30 years ago. Biologists observe that the population doubles every 6 years, and now the population is 100,000. what is the formula

Answers

Answer:

The formula for the gray squirrel population is [tex]n = 3125\cdot 2^{\frac{t}{6} }[/tex].

Step-by-step explanation:

The statement indicates that gray squirrel population increases geometrically, population is doubled every 6 years. That is:

[tex]\frac{n_{t+6}}{n_{t}} = 2[/tex] (1)

If the population after 30 years is 100000, then we construct the following relationship:

[tex]\frac{n_{6}}{n_{o}} \cdot \frac{n_{12}}{n_{6}}\cdot \frac{n_{18}}{n_{12}}\cdot \frac{n_{24}}{n_{18}}\cdot \frac{n_{30}}{n_{24}} = 2^{5}[/tex]

[tex]n_{30} = 2^{5}\cdot n_{o}[/tex]

[tex]n_{o} = \frac{n_{30}}{2^{5}}[/tex] (2)

[tex]n_{o} = \frac{100000}{2^{5}}[/tex]

[tex]n_{o} = 3125[/tex]

A geometric progression for the grey squirrel population is defined by the following formula:

[tex]n = 3125\cdot 2^{\frac{t}{6} }[/tex] (3)

Where:

[tex]t[/tex] - Time, measured in years.

[tex]n[/tex] - Population of gray squirrels.

Which inequality is NOT true if y = -5?
A 2y - 10 > 13
B
- 14 + 6y < 8
C3y +9> -15
D-24 - 4y <-3

Answers

Answer:

b

Step-by-step explanation:

A box contains 84 chocolates which 63 are dark chocolates. The rest are milk chocolates.what is the ratio of milk chocolates to the number of chocolates in the box

Answers

Answer:

21:84

Step-by-step explanation:

Answer:

Step-by-step explanation:

We have a box with 84 chocolates

63 are dark, milk=84-63=21

21/63=1/3 is the ratio

for each 1 milk chocolate we have 3 dark chocolates

SOLVE THE EQUATION: 25 - 3X = 40 (HINT: WATCH YOUR NEGATIVE SIGNS

srry for all caps...​

Answers

Answer:

x = -5

Step-by-step explanation:

-3X + 25 =40 : Rearrange the expression

-3X = 40 - 25 : Separate the constants and variables

-3X=15 : Subtract the numbers

-3X/-3 = 15/-3 : Divide both sides by -3

Hope that helps

Hello! Please answer this question with all of the info it is asked for. Please be sure to include all of your work and share any of your thoughts you had when solving. Please do not answer unless you know the answer. Thanks! Good Luck!

3) A diver springs up off of a diving board at an initial velocity of 24 ft/sec. The diving board is 30 feet above the water. The function that models the diver's height is: h(t) = -16t^2 + 24t + 30.

a) Find how long it takes for the diver to reach maximum height. Why can't we double this time to find how long the diver is in the air before hitting the water?

b) Determine the maximum height of the diver.

c) How far is the diver from the water after 2 seconds?

Answers

Answer:

a) 3/4 secb) 39 feetc) 14 feet

Step-by-step explanation:

Given function:

h(t) = -16t^2 + 24t + 30

a) Maximum height is the vertex of the graph. Time needed:

t = -24/2(-16) = 24/32 = 3/4 sec

If we double this time then diver will pass the peak point and it doesn't double the height

b) Maximum height is at vertex:

h(3/4) = -16*(3/4)^2 + 24*3/4 + 30 = 39 feet

c) Distance from water after 2 seconds:

h(2) = -16*2^2 + 24*2 + 30 = 14 feet

Find the lengths of the missing sides in the pairs of similar triangles

Answers

Answer:

x = 4

Step-by-step explanation:

The inner and outer triangles are similar, thus the ratios of corresponding sides are equal, that is

[tex]\frac{x}{5}[/tex] = [tex]\frac{8}{10}[/tex] ( cross- multiply )

10x = 40 ( divide both sides by 10 )

x = 4

A sound measures 42 dB. The intensity of a second sound is four times as great. What is the decibel level of this

second sound?

Answers

Answer:

The decibel level of this second sound is 48.021 decibels.

Step-by-step explanation:

The acoustic intensity ([tex]B_{dB}[/tex]), measured in decibels, is defined by the following formula:

[tex]B_{dB} = 10\cdot \log_{10}\left(\frac{I}{I_{o}} \right)[/tex] (1)

Where:

[tex]I_{o}[/tex] - Reference sound intensity, measured in watts per square meter.

[tex]I[/tex] - Real sound intensity, measured in watts per square meter.

If we know that [tex]B_{dB} = 42\,dB[/tex] and [tex]I_{o} = 10^{-12}\,\frac{W}{m^{2}}[/tex], then the real sound intensity of the first sound is:

[tex]\frac{B_{dB}}{10} = \log_{10}\left(\frac{I}{I_{o}} \right)[/tex]

[tex]\frac{I}{I_{o}} = 10^{\frac{B_{dB}}{10} }[/tex]

[tex]I = I_{o}\cdot 10^{\frac{B_{dB}}{10} }[/tex]

[tex]I = \left(10^{-12}\,\frac{W}{m^{2}} \right)\cdot 10^{\frac{42\,dB}{10} }[/tex]

[tex]I = 1.585\times 10^{-8}\,\frac{W}{m^{2}}[/tex]

The real sound intensity of the second sound is four times greater, that is:

[tex]I' = 6.340\times 10^{-8}\,\frac{W}{m^{2}}[/tex]

If we know that [tex]I_{o} = 10^{-12}\,\frac{W}{m^{2}}[/tex] and [tex]I' = 6.340\times 10^{-8}\,\frac{W}{m^{2}}[/tex], then the acoustic intensity of the second sound is:

[tex]B_{dB} = 10\cdot \log_{10}\left(\frac{I'}{I_{o}} \right)[/tex]

[tex]B_{dB} = 10\cdot \log_{10}\left(\frac{6.340\times 10^{-8}\,\frac{W}{m^{2}} }{10^{-12}\,\frac{W}{m^{2}} } \right)[/tex]

[tex]B_{dB} = 48.021\,dB[/tex]

The decibel level of this second sound is 48.021 decibels.

Hello! Please answer this question with all of the info it is asked for. Please be sure to include all of your work and share any of your thoughts you had when solving. Please do not answer unless you know the answer. Thanks! Good Luck!

A golf ball is launched straight up into the air from the ground with an initial velocity of 160 ft/s. The function that models the ball's height is: h(t) = -16t^2 + 160t.

a) Find how long it takes for the golf ball to reached its maximum height.

b) Determine how long the golf ball is in the air before it hits the ground.

c) Determine the maximum height that the golf ball reaches.

Answers

Answer:

a) 5 secb) 10 secc) 400 m

Step-by-step explanation:

Given is the quadratic function:

h(t) = -16t^2 + 160t

This gets maximum value at vertex, which is achieved at:

x = -b/2a, of y = ax^2 + bx + c

In our case:

t = -160/2(-16) = 5 seconds

Maximum height is at vertex:

h(5) = -16*5^2 + 160*5 = 400 m

Time the ball hits the ground, h(t) = 0:

-16t^2 + 160t = 0t^2 - 10t = 0t(t - 10) = 0t = 0 seconds is the starting pointt = 10 seconds is when the ball hits the ground

!!!10 points + brainly!!!

Answers

Answer:

The number of fours divided by the total number of possibilities. If there are two fours and 8 spaces, the probability is 2/8 = 1/4.

Step-by-step explanation:

Please urgently need answer. Thanks

Answers

Answer:

wouldnt it be d

Step-by-step explanation:

My guess would be c

What’s the missing number?

Answers

Step-by-step explanation:

Notice that:

1st column = (5 - 1)² = 16

2nd column = (11 - 4)² = 49

Therefore 3rd column = (18 - *)² = 121, * = 7.

Answer:

7 is the missing number

Step-by-step explanation:

Let the missing number be x.

Lets study the pattern of the numbers. In each column , we find that the bottom number is the square of the difference of first 2 numbers.

In 1st column ,

Difference of first 2 numbers = 5 - 1 = 4

The bottom number = 16 = 4²

In 2nd column ,

Difference of first 2 numbers = 11 - 4 = 7

The bottom number = 49 = 7²

Similarly ,

Difference of first 2 numbers = 18 - x

The bottom number = 121

[tex] = > {(18 - x)}^{2} = 121[/tex]

[tex] = > {(18 - x)}^{2} = {11}^{2} [/tex]

[tex] = > 18 - x = 11[/tex]

[tex] = > x = 18 - 11 = 7[/tex]

I don’t know the answer I just need some points to ask more questions !!! have a good day !!

Answers

Answer:

have a good day too

Step-by-step explanation:

for Every 3 people at the concert singing along. there are 5 people not singing along. if there are 180 more people not singing along. how many total people are at the concert ​

Answers

Answer:

288

Step-by-step explanation:

First Divide 180/5=36. So then do 3 times 36=108. (108=People Singing, 180=People not singing). So add 108+180 to get 288.

The total number of people who attend the concert is 288.

Given that, for every 3 people at the concert singing along, there are 5 people not singing along.

What is the ratio?

The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.

Ratio of the number of people singing along at the concert to the number of people not singing along

= 3:5

Now, 3+5=8

The number of more people not singing along = 180

Let the total number of people be x

So, 5/8 × x=180

⇒ x=(180×8)/5

⇒ x=36×8

⇒ x=288

Therefore, the total number of people who attend the concert is 288.

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The amount of money in a bank account increased by 21.5% over the last year. If
the amount of money at the beginning of the year is represented by n, which
expression represents the amount of money in the bank account after the
increase?step by step

Answers

Answer: n + 0.215n



Step-by-step explanation:

Answer:

n + 0.215n

Step-by-step explanation:

pls help, basic algebra problem with guidance

Answers

Answer:

x = 43000/9 or 4777.7 (i'm not 100% sure on this, so i apologize if i'm incorrect)

Step-by-step explanation:

The equation you were given was:

amount of solution • rate of concentration = amount of pure acid

By looking at the question, you can conclude that the amount of solution being used is 18%. You need to turn that into a decimal, therefore it'd be 0.18.

You can also conclude that the amount of pure acid being used is 860 milliliters. So, from this, you're able to fill in 2 parts of the equation:

0.18 • x = 860 mL

Now, all there's left to do is solve for x! To do this ,you'll need to rearrange the multiplication problem into a division problem.

860 / 0.18 = x

x = 43000/9 or 4777.7

Help me here i’ll mark you brainliest❤️

Answers

Answer:1 black 4 white

Step-by-step explanation:

It must be 2:3 so you have to change the current ratio from black to white(7:8) to 2:3

So the first number has to be the closets multiple of 2(8) and you have to divide 8 by 2 to get 4 and multiply that by 3 to get the ratio 8:12 which is equivalent to 2:3

Find the unit rate. 5/8 mile in 1/4 hour

Answers

Answer

The unit rate in miles per hour is 2.5 mph.

Step-by-step explanation:

1/4 x 4 = 1 hour
5/8 x 4 = miles that would have been covered in one hour
20/8 of a mile would have been covered in one hour
20/8 = 2.5
2.5 miles would have been covered in an hour, with which his speed was 2.5 mph.

If the line you graph is exactly the same as the first one, how many solutions do you
have?
Infinitely many
1 solution
no solutions

Help ASAP.

Answers

I think it’s infinitely many

What is a translation

Answers

Answer:

A translation is a transformation that occurs when a figure is moved from one location to another location without changing its size, shape or orientation. In the coordinate plane we can draw the translation if we know the direction and how far the figure should be moved.

Step-by-step explanation:

Answer:

A translation is converting another language into English

Step-by-step explanation:

9 Mia bought a sweater that was 30% off. She paid $48 for the sweater. What was the original price of the sweater? A $18.24 B $29.76 CS68.57 D $62.40​

Answers

Answer:

D$62.40

Step-by-step explanation:

first start calculating how much the price is 30% then you add to the price she paid..then you get the original price of the sweater

what is 7 - x - ( -5x ) - 10 + 4x​

Answers

Answer: 8x−3

Step-by-step explanation:

Let's simplify step-by-step.

7−x−−5x−10+4x

=7+−x+5x+−10+4x

Combine Like Terms:

=7+−x+5x+−10+4x

=(−x+5x+4x)+(7+−10)

=8x+−3

If I Helped, Please Mark Me As Brainliest, Have A Great Day :D

Answer:

8 x -3

Step-by-step explanation:

because you do the equation on math w a y

Select the correct choice below and fill in the answer​ box(es) to complete your choice.
​(Type a whole​ number.)
A. 789÷67=
B. 789÷67=? R ?
In The answer B the reason why i put an R is because they might ask for a remainder. And plz take ur time on this i'm in no rush and plz try on this don't just be here for points hope you have an wonderful day and stay safe. <3

Answers

Answer:

11.7

Step-by-step explanation:

Answer:

What about the wink face?

Step-by-step explanation:

Question 4
Solve for x. Round your answer to two decimal places. Do NOT include x= in your final
answer
10
х
30°

Answers

The answer will be 30 okay

Pls mark me BRAINLIEST pls pls pls pls pls

The value of x is 20.

What are trigonometric identities?

There are three commonly used trigonometric identities.

Sin x = Perpendicular / Hypotenuse

Cosec = Hypotenuse / Perpendicular

Cos x = Base / Hypotenuse

Sec x = Hypotenuse / Base

Tan x = Perpendicular / Base

Cot x = Base / Perpendicular

We have,

Sin 30 = 10 / x ______(10

We know that,

Sin 30 = 1/2 _____(2)

So,

Substituting (2) in (1).

1/2 = 10/x

x = 10 x 2

x = 20

Thus,

The value of x is 20.

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Find the distance between the two points in simplest radical form.
(-9,5) and (0,0)

Answers

Answer:

[tex]\sqrt{106}[/tex] units

Step-by-step explanation:

Calculate the distance d using the distance formula

d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]

with (x₁, y₁ ) = (0, 0) and (x₂, y₂ ) = (- 9, 5)

d = [tex]\sqrt{(-9-0)^2+(5-0)^2}[/tex]

   = [tex]\sqrt{(-9)^2+5^2}[/tex]

   = [tex]\sqrt{81+25}[/tex]

    = [tex]\sqrt{106}[/tex]

 

[tex]2x^{2} + 3 = 5[/tex]

Could someone please walk me through this equation?

Answers

Answer:

x = 1

Step-by-step explanation:

2x^2 + 3 = 52x^2 = 5 - 32x^2 = 2x^2 = 2/2 x = \| 1 x = 1

These questions are harder than the ones from in person school PLEASE ANSWER!

Answers

Answer:

D

Step-by-step explanation:

Its is a 2$ difference because Miller’s is 12 and Taylor’s is 10

I need help with this one​

Answers

Answer:

60

Step-by-step explanation:

The answer of this question is 60 degree

what is 15% of 80?????

Answers

Answer:

I think it´s 12

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

because 15% (or 0.15) times 80 equals 12.

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