Terry scored 71, 80, and 86 on his first three history tests. What must terry score on the fourth test to have a mean of exactly 80

Answers

Answer 1

Answer:

83

Step-by-step explanation:

You are trying to find the score that gives you a specific mean.  A mean is calculated by dividing the sum of the data by the amount of data.  Set up in this order, with x as the fourth score, to find the answer.

[tex]\frac{71+80+86+x}{4}=80\\\frac{237+x}{4} =80\\237+x=320\\x=83[/tex]

The fourth test score must be an 83.

Answer 2

Answer:

83

Step-by-step explanation:

Equation: 71 + 80 + 86 + x / 4 = 80

Add 71, 80, and 86 together.

237 + x = 80

Multiply 4 to both sides (cross multiplying).

237 + x = 320

Subtract 237 from both sides.

x = 83


Related Questions

help me!! show work pls

Answers

Answer:

17.2

Step-by-step explanation:

We need to use the law of sines

sin A           sin B

------------ = ----------

a                   b

sin 25           sin 27

------------ = ----------

16                   x

Using cross products

x sin 25 = 16 sin 27

Divide each side by sin 25

x = 16 sin 27 / sin 25

x =17.18772863

Rounding to the nearest tenth

x = 17.2

Complete questions 6,7,8

Answers

Answer:

Step-by-step explanation:

80x^2y=16*5*x^2*y=4^2*x^2*5*y=(4x)^2*5*y

56x^3*y^2=7*8x^3y^2=7*2^3*x^3*y^2=(2*x)^3*7*y^2

81xy^2=9^2y^2x=(9y)^2*x

A whole theater has the capacity to hold 1,000 people. On the opening night, the theater was 95% full. What part of the theater was filled on opening night?

Answers

Answer:

950 People

Step-by-step explanation:

If you have 95% of 100 then it is 95, correct? So, if you have 95% of 1000, the it must be 950.

Just saying, it might be wrong but try it anyways... if it isnt right then im sorry.

The expression 1.01 ⋅ 1.00 5 t 1.01⋅1.005 t 1, point, 01, dot, 1, point, 005, start superscript, t, end superscript gives the amount of money, in thousands of dollars, in Carter's savings account t tt years after he opens it.

Answers

Answer:

Step-by-step explanation:

The expression 1.01-1.005 gives the amount of money, in thousands of dollars, in Carter's savings account t years after he opens it What does 1.01 represent in this expression? Choose 1 answer Carter opened the savings account I year ago ⓢ Carter's savings account had $1,010 in it when he opened it. The amount of money in Carter's savings account increase by 1% each year.

1.01 ( 1.005 )^t

standard exponential equation is

y = a (b)^x

where a = initial value

comparing the two equations

we get

a = 1.01

so, it means 1.01 means Carters saving account had $ 1010 in it when it opened

What is the value of x in 5x + 5 = 8 3/4

Answers

。☆✼★ ━━━━━━━━━━━━━━  ☾  

5x + 5 = 8 3/4

- 5 from both sides

5x = 15/4

/5 on both sides

x = 3/4

Have A Nice Day ❤    

Stay Brainly! ヅ    

- Ally ✧    

。☆✼★ ━━━━━━━━━━━━━━  ☾

solve in quadratic formula (show work)
[tex]2x^{2} +5x+1=0[/tex]

Answers

Answer:

x= −5±√17/4

Step-by-step explanation:

Paul creates a CD by mixing together
songs that are either 3 minutes or
4 minutes long. His CD has 22 songs
and is 78 minutes long. How many
three-minute and how many four-minute
songs did he use?

Answers

Answer:

Paul created 10 three minutes songs and 12 four minutes songs.

Step-by-step explanation:

The song he created on his CD is either 3 minutes long or 4 minutes long.

His CD has 22 songs and is 78 minutes. The number of 3 minutes and 4 minutes song can be calculated below.

Let

a = number of 3 minutes song

b = number of 4 minutes song

number of song = 22

a + b = 22............(i)

3a + 4b = 78.........(ii)

Make a subject of the formula in equation (i)

a = 22 - b

Insert the value of a in equation (ii)

3(22 - b) + 4b = 78

66 - 3b + 4b = 78

b = 78 - 66

b = 12

insert the value of b in equation (i)

a + b = 22

a + 12 = 22

a = 22 - 12

a = 10

Paul created 10 three minutes songs and 12 four minutes songs.

What is the volume of a cylinder, in cubic feet, with a height of 8 feet and a base
diameter of 18 feet? Round to the nearest tenths place

Answers

Answer:

see below

Step-by-step explanation:

The volume of a cylinder is given by

V = pi r^2 h

We know the diameter is 18 so the radius is 1/2 d = 1/2(18) = 9

V = pi (9)^2 (8)

V =648 pi

Letting pi = 3.14

V = 648(3.14)

V =2034.72

Rounding to the tenths place

V =2034.7 ft^3

If you use the pi button

V = 2035.75204

Rounding to the tenths place

V =2035.8

Is the following biconditional statement true or false?
You can play volleyball if and only if you play a sport.

Answers

Answer:

true

Step-by-step explanation:

because you cannot play volley ball if you are not a sport person

5m- 3 = 4m +30
can you please help me with this problem ​

Answers

Answer:

m=33

Step-by-step explanation:

To solve this, we need to get the variable, m, by itself. Perform the opposite of what is being done to the equation. Keep in mind everything done to one side, must be done to the other.

5m-3=4m+30

3 is being subtracted from 5m. The opposite of subtraction is addition, so add 3 to both sides.

5m-3+3=4m+30+3

5m=4m+33

4m is being added on to 33. The opposite of addition is subtraction, so subtract 4m from both sides.

5m-4m=4m-4m+33

5m-4m=33

m=33

Answer: M=33

You have to get the X by itself

Starting by subtracting the m valued numbers
(4m - 5m)

Then add the whole regular numbers
(3 +30)=(1m=33)

Leaving us with the answer
M=33

A snail creeks up a plank 8 cm a day and slides back down 15 millimeters each night. Write a numerical pattern showing the number of millimeters where the snail changes direction. On which day would the snail have moved 275 millimeters from its starting point?

Answers

Answer: The 5th day

Step-by-step explanation:

Total daily movement :

Upward movement = 8cm

Downward movement = 15mm

Converting the upward movement to millimeters ; 1 centimeter = 10 millimeters

Upward movement = 8 × 10 = 80 millimeters

Daily movement can beodelled using the equation :

Distance = (80mm - 15mm)h

Where h is the number of days

Movement per day = 65mm

To move a distance of 275mm from its starting position:

Number of days = 275mm/ 65mm

Number of days = 4.23

Therefore the snail would have moved 275 millimeters from its starting point on the 5th day

A cone is of radius 6 cm and its height is 10 cm . The volume of the cone is __________ π cm3


please help
20 pointss

Answers

Answer:

376.99 cm

Step-by-step explanation:

V=πr2h^3

Please help me!!
Show workings.

Answers

Answer:

a = 31°

b = 149°

c = 149°

d = 31°

Answer:

see explanation

Step-by-step explanation:

Since there are 3 parallel lines, then

a and 31° are corresponding angles and congruent, thus

a = 31°

b and 31° are same- side interior angles and supplementary, thus

b = 180° - 31° = 149°

c and b are vertical angles and congruent, thus

c = 149°

d and 31° are alternate angles and congruent, thus

d = 31°

a = 31°, b = 149°, c = 149°, d = 31°

Katy buys 2 DVDs every 2 weeks.How many DVDs. Will she buy in 14 weeks?​

Answers

Answer:

Step-by-step explanation:

If Katy buys 2 DVDs every 2 weeks, it the same as saying 1 DVD every week.

14 ÷ 2 = 7

2 × 7 = 14

1 × 14 = 14

Answer:21 dvds

Step-by-step explanation:

Set up a proportion in terms of DVDs to weeks and solve.

3/2 = x/14

(2)(x) = (3)(14)

2x = 42

x = 21

Therefore, Katy will buy 21 DVDs in 14 weeks.

brainliest pls?

Match each percent proportion with the percent problem it represents.

Answers

Answer:

1. d

2. c

3. b

4. a

*WILL GIVE BRAINLIEST*
annabelle collected data on the favorite superhero of the students in her class. the table shows the relative frequencies of rows for the data collected:
*picture attached above*

based on the data, which superhero is most likely to be the favorite?

a.) superman
b.) spiderman
c.) batman
d.) wonder woman

Answers

Answer:

B - Spider-Man

Step-by-step explanation:

A group of 8 friends (5 girls and 3 boys) plans to watch a movie, but they have only 5 tickets. How many different combinations of 5 friends could possibly receive the
tickets?
A
13
B. 40
56
D.
64
Reset
Next

Answers

Answer:

D. 56

Step-by-step explanation:

8!/3!x5!= 56

100 points. WILL MARK BRAINLIEST. EASY QUESTION

Topic: Fractions.

ONLY COMPLETE QUESTION 1

Answers

Answer:

see below

Step-by-step explanation:

2 1/2+ 3 3/16 + 7/8

Get a common denominator of 16

2 8/16 + 3 3/16 + 14/16

5 25/16

5 + 16/16 + 9/16

6 9/16

Subtract this from 8 ft

8 - 6 9/16

Borrow 1 from 8 in the form of 16/16

7 16/16 - 6 9/16

1 7/16

b  1 7/16 - 1 1/3

The common denominator is 48

1 21/48    - 1 16/48

5/48

This is a better photo I can’t figure this one out. Any help?

Answers

Answer:

the answer is 4

Step-by-step explanation:

because i did it on desmos that is a graphic calculator

It’s probably the last one #4

18:10 is equivalent to :5

Answers

Answer:

18:10 is equivalent to 9:5

Step-by-step explanation:

half of 18 is 9 and half of 10 is 5

Answer:

9:5

Step-by-step explanation:

18:10 is equivalent to 9:5 because 10 divided by 2 is 5 so you can do the same for 18. You will get 9 which makes it 9:5.

Which property of real numbers is shown below?

3 + ((-5) + 6) = (3 + (-5)) + 6

Answers

Answer:

Associative property

Is anyone able to help me with this question:
A rectangle with sides 4 cm and 6 cm has the same diagonal as a square.
What is the length of the side of the square.
Give your answer as a surd.

Answers

Answer:

not sure but this info might help you.

Step-by-step explanation:

the diagonal in the rectangle splits it into two right angled triangles, hence the hypotenuse is the diagonal.

once you find the measurement, we all know that a square has all sides equal and the diagonal splits it into 2 equilateral triangles. so, the side of the square =the diagonal's measurement.

James sets off from home on his bike.The graph shows his journey.A)what is James average speed on his outward journey?B)How long does he stop for?C)What is James average speed on his homeward journey?

Answers

Answer:

20,45,15

Step-by-step explanation:

a)20 km/h

b)45 minutes

c)15 km/h

Answer:

Step-by-step explanation:

a)20

b)45

c)15

Hurry Please! Which of the following shows the extraneous solution to the logarithmic equation?

Image shown!

Answers

Answer:

the third circle.

Step-by-step explanation:

Determine the measure of angle 1

Answers

56

360-248=112
inscribed angle so 112/2=56
the answer you’re looking for is D-56

What is an equation of the line that passes through the point (−2,−3) and is parallel to the line 4x-y=1?

Answers

Answer:

y= 4x +5

Step-by-step explanation:

Let's rewrite the equation so that it is in the form of y=mx+c, where m is the gradient and c is the y-intercept.

4x-y=1

y= 4x -1

parallel lines have the same gradients. Thus the gradient of the line is 4.

y=4x+c

To find c, substitute a pair of coordinate.

When x=-2, y= -3,

-3= 4(-2) +c

-3= -8 +c

c= 8 -3

c= 5

Thus, the equation of the line is y= 4x +5.

3 and 1/3 - 2 and 1/5

Answers

Answer:

1.13333333333

1.13

Step-by-step explanation:

1: Gather all the numbers

2: Use a calculator to subtract the numbers

3: Answer is 1.13

Hope this helps.

Determine the answer to (−3) + (−5) and explain the steps using a number line

Answers

Answer:

-8

Step-by-step explanation:

When adding a negative number on a number line, we move to the left. This is because adding a negative number is the same as subtracting. If we start at -3 and move 5 to the left, we will end at -8.

Given that sinθ=3/5
, find cosθ
and tanθ
. Write your answers as fractions in simplest form.

Answers

Answer:

cos θ = 4/5.

tan θ = 3/4.

Step-by-step explanation:

Given sin θ = 3/5, we can find the value for the other side of the right triangle.

Using the Pythagorean formula, we can derive the value of this other leg.

5² = 3² + x²

x = 4.

Since sin θ is O/H, the Hypoteneus is 5 and the Opposite side is 3. The Adjacent side is 4, which will be used when finding cos θ and tan θ.

cos θ= A/H --> cos θ = 4/5.

tan θ= O/A --> tan θ = 3/4.

A survey asked 247 students what their favorite subject was. Of those students, there were 115 boys. One hundred two students answered that their favorite subject was Social Studies, 50 of which were boys. Forty girls answered that their favorite subject was Math while 25 boys answered English. The marginal frequency of students answering science is 0.1214. The probability that a student who answered science was a girl is 0.667.

5, 10, 20, 25, 30, 45, 50, 52, 70
Use the numbers above to complete a two-way frequency table. Numbers may be used more than once or not at all

Answers

Answer:

so what was the answer?

Step-by-step explanation:

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