In a class in which the final course grade depends entirely on the average of four equally weighted 100-point tests, Joyce has scored 90, 93, and 85 on the first three. What range of scores on the fourth test will give Joyce a C for the semester (an average between 70 and 79, inclusive)? Assume that all test scores have a non-negative value.

Express your answer in interval notation.


HELP ASAP BRAINLEST AND THANKS

Answers

Answer 1

Answer:

[12,48]

Step-by-step explanation:

We will start by calculating the score she needs to get a 70 in the class

We will let x equal the fourth test

[tex]\frac{90+93+85+x}{4} =70[/tex]

This isn't hard to solve and we will do so by multiplying 4 by both sides and subtracting 268 (90+93+85)

This means that x= 12

We will then use the same formula but set it equal to 79

[tex]\frac{90+93+85+x}{4} =79[/tex]

We solve x in the exact same way and get x=48

our final answer is now [12,48]


Related Questions

Eng
Sofia uses 8 gallons of gas to drive 204 miles. At the same rate, how
many miles can Sofia drive using 18 gallons of gas?

Answers

Answer:

Sophia can drive 3672 miles using 18 gallons of gas.

Step-by-step explanation:

204 x 18 = 3672.

The temperature is changing at a constant rate of –0.75ºC per half hour. At 6:45 PM, the temperature was –4.6ºC. At what time was the temperature –2.1ºC? Be sure to include AM or PM in your answer.

Answers

Answer:

5:05 PM

Step-by-step explanation:

Each 30 minutes, we have a change of -0.75

So in an hour , we will have a change of -0.75 * 2 = -1.5

since -2.1 is greater than -4.6, this indicates that it was a time before 6:45 PM

so, let us find the temperature drop

That would be;

-2.1-(-4.6) = -2.1 + 4.6 = 2.5

So let us find the number of half hours

That would be;

2.5/0.75 = 3 1/3 half hours

3 half hours is 90 minutes

1/3 half hour is 1/3 * 30 = 10 minutes

Total number of minutes is;

90 + 10 = 100 minutes

So let us count 100 minutes before 6:45 PM

120 minutes before would be;

4:45 PM

but we want 100 minutes, so we have to add 20 minutes

That would be;

4:45 PM + 20 minutes

= 4:65 which is 5 : 05 PM

someone help me with this

Answers

I don’t really know..my bad?

Answer:

the answer is 4

Step-by-step explanation:

|5-3-2|

|2--2|

|2+2|

|4|

4

The student Advisory Council here at PC sells red and pink carnations every year for Valentine’s Day. The number of red carnations sold was 1 less than 3 times the number of pink carnations sold. Red carnations were sold for $0.60 each and Pink Carnations sold for $0.80 each. The club made $600.00. How many of each carnation were sold?


Please help!!

Answers

Answer:

The number of :

Red carnations sold = x = 692 carnations

Pink carnations sold = y = 231 carnations

Step-by-step explanation:

Let us represent

The number of :

Red carnations = x

Pink carnations = y

The Student Advisory Council here at PC sells red and pink carnations every year for Valentine's Day.

The number of red carnations sold was 1 less than 3 times the number of pink carnations sold.

x = 3y - 1 .....Equation 1

Red carnations were sold for $0.60 each and Pink Carnations sold for $0.80 each. The club made $600.00. .

$0.60 × x + 0.80 × y = $600

0.6x + 0.80y = 600...... Equation 2

Using substitution method:

Let us substitute, 3y - 1 for x in Equation 2

0.6(3y - 1) + 0.80y = 600

1.8y - 0.6 + 0.80y = 600

1.8y + 0.80y = 600 + 0.6

2.6y = 600.6

y = 600.6 ÷ 2.6

y = 231 carnations

Solving for x

x = 3y - 1 .....Equation 1

x = 3(231) - 1

x =693 − 1

x = 692 carnations

Therefore, The number of :

Red carnations = x = 692 carnations

Pink carnations = y = 231 carnations

The radius of the cone is 5 in and y = 13 in. What is the volume of the cone in terms of π?


A cone with a right triangle formed from its dimensions; the value of the height is h, and the value of the slant height is y; the height x and the radius form a right angle at the center of the cone.

Answers

Answer:

100π in3

Step-by-step explanation:

I took the test

Answer:

V= 100 π ^3

Step-by-step explanation:

V= π r^2 h/3

13^2 = 5^2 + h^2, h=12

V=π 5^2 12/3

V=π. 25. 4

V= 100 π ^3

5 1/4 divided by 5/8

Answers

Answer: 8.5

Step-by-step explanation: we was doing this in class

Answer:

8.4

Step-by-step explanation:

the price of a gallon of unleaded gas has risen to $2.86 yesterday's price was 2.80. Find the percentage increase

Answers

Answer: The price has gone up .07.

Step-by-step explanation:

07/2.80   x 100 = 2.5% increase

What is the value of x? Use an informal argument to justify your answer *

Answers

Answer:

68°+47°+ x = 180°

115°+ x = 180°

115°-115°+x = 180°-115°

x = 65°

hope it's helpful ❤❤❤❤

THANK YOU.

what is $5.36 for 20 oz.

Answers

Answer:

5.36/20

0.268 dollars per oz

Step-by-step explanation:

6z + 9 - 7 = 4z + 12

Answers

Answer:

z=5

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

6z-4z=10

z=5

PlZ Make me brainliest

Determine if the relation is a function. List the domain and range for each.
a. {(-5,-2)(-4,-1) (-3,0) (-2, 0)}

Answers

Answer:

This is a function, because for every x-value, there is exactly one y-value.

The domain is: {-5, -4, -3, -2}, and the range is {-2, -1, 0}

Let me know if this helps!

Tommy rented a scooter for 15 dollars plus 7 dollars per hour. He paid 29 dollars in total. How many hours was he able to rent the scooter?

Answers

Answer:

so if you add 15+7=22 and he paid 29 dollars total he will be able to rent it once because 22+22=44 so he will only be able to rent it for 1hr

Step-by-step explanation:

PLEASEEEE!! THIS WAS DUE YESTERDAY AND I FORGOT TO DO IT!! WHOEVER ANSWERS THEM FIRST AND CORRECT GETS BRAINLIEST

Answers

Answer:

1 = 3

2= 21/5

3=5/6

4=3/8

Step-by-step explanation:

1 explanation

3/4 (8/2) =

(3/4) (8/2)=

(3)(4)/(4)(1)

12/4 =3

2 explanation

7/1(3/5) =

(7/1 ) (3/5)  divide tht u get 21/5

3 explanation 5/6(1) =5/6

4 explanation

u rewrite the equation then

(3/4) (1/2

3x 1 is 3 4x 2 is 8 so 3/8

Two roads intersect at right angles. You are standing 24 meters north of the intersection on one of the roads. You are watching a car travel west at 32 meters per second. At how many meters per second i the car traveling away from you 2 seconds after it passes through the intersection?

Answers

Answer:

112 meters

Step-by-step explanation:

Please answer this really fast!
Can you please create me an Order of Operations equations with numbers 5,12,5,11,9. And please give me the answers as well! dont forget to use numbers 5,12,5,11,9. for the equation
THANKS SO MUCH!

Answers

Step-by-step answer:  

5(12×11)-(5^5)+9

5(12×11)-3,125+9

5(144)-3,125+9

720-3,125+9

-2,405+9

-2,396

Plzzzzz give me Brainliest!!!!!  

russia help me! pls pls​

Answers

The answer for the question is 4

anahi begins work each morning at 7:39 a.m. . she takes a lunch break at 11:25 a.m. and returns to work at. noon. how long is anahis lunch break????​

Answers

Answer: 35 minutes

Step-by-step explanation: 60 - 25 minutes

Answer:

35 minutes....

Billy wrote a total of 32 pages over 16 hours. After spending 21 hours writing this week, how many pages will Billy have written in total? Assume the relationship is directly proportional.

Answers

Answer:

42

Step-by-step explanation:

Answer:

I'm not 100% sure about this but i think its 42

Step-by-step explanation:

this is what i did

32/16=2

2*21=42

At the end of a snowstorm, Ellie had 16 inches of snow on her lawn. The temperature then increased and the snow began to melt at a constant rate of 1 inch per hour. Assuming no more snow was falling, how much snow would Ellie have on her lawn 4 hours after the snow began to melt? How much snow would Ellie have on her lawn after tt hours of snow melting?

Answers

Answer:

12 inches

Step-by-step explanation:

1 x 4 = 4

16 - 4 = 12

Answer:

Snow after 4 hours: 16 Show after t hours: -1t

Step-by-step explanation:

Snow after 4 hours:

starting amount =  16

melted snow=   inches per hour×4

=1×4

=

4

final amount=  starting amount−melted snow

=  16−4

=12

Snow after t hours:

starting amount=  16

melted snow=  inches per hour×t

=1×t

=1t

final amount=  starting amount−melted snow  =16-1t

The area of the rug is 21,600 square inches.

True

False

Answers

Answer:

true

Step-by-step explanation:

Is this an example of a function?
Yes or no?

Answers

Answer:

Yes.

Step-by-step explanation:

35 is 29% of what number

Answers

Answer:

10.15 is 29% of 35.

Step-by-step explanation:

Which value of k makes 5 – k + 12 = 16 a true statement?
Choose 1 answer:

Answers

Answer:

k =4

Step-by-step explanation:

you ask your self what + 12 = 16

Answer:

K=4

Step-by-step explanation:

Answer: ? + 12 = 16

Jocelyn invested $390 in account paying an interest rate of 2.7% compounded daily. Assuming no deposits or withdrawals are made, how much money, to the nearest cent, would be in the account after 18 years

Answers

Answer:

Someone ples answer this

Step-by-step explanation:

It’s so hard

12 divided by -5/8
please help me:)

Answers

-19.2

12/(-5/8) means 12*(-8/5)

12*8=96
96/5=19.2

don’t forget the negative sign

so

-19.2

Answer to this math question please

Answers

Answer:

24

Step-by-step explanation:

8 times 3 TwT

Miranda wants to buy pencils printed with the school mascot. The graph below represents the cost for different numbers of pencils.


What is the cost per pencil?

$0.12

$0.16

$1.20

$8.30

Answers

Answer:

.12

Step-by-step explanation:

The cost of each pencil is 0.12.

What is graph?

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

Given that

Miranda wants to buy pencils printed with the school mascot. The graph below represents the cost for different numbers of pencils.

Number of pencils on x axis and cost on y axis.

We have to take any point from graph.

Let the point be (100,12)

Let x be the cost of each pencil be x.

100x=12

Divide both sides by 100

x=12/100

x=0.12

Therefore cost of each pencil be 0.12

To learn more on Graphs click:

https://brainly.com/question/17267403

#SPJ2

Can Sb do this for me please helppp this is due

Answers

Answer:

sure

Step-by-step explanation:

11. B
12. C

Hope it helps :)

A middle school took all of its 6th grade students on a field trip to see a play at a
theater that has 5000 seats. The students filled 71% of the seats in the theater. How
many 6th graders went on the trip?

Answers

Answer:

3550 (6th graders)

Step-by-step explanation:

71% of 5000=5000/100*71=3550students

PLS HELP ME ASAP I DONT HAVE TIME. IT ALSO DETECTS IF ITs RIGHT OR WRONG.

Answers

Answer:

10

Step-by-step explanation:

2pi(5) is 31.42.

31.42/pi gets you exactly 10pi meters.

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