On his first three tests, Trevor scored 86, 83, and 78. What score must he get on his fourth test to have an average (mean) of 80 for all four tests?

Answers

Answer 1

Answer:

Trevor must score a 73.

Set Up

We will create an equation that has four values (three knowns, one unknown) that will divide by 4 to find the average.

Our equation will look like this:

[tex]\displaystyle \frac{86+83+78+x}{4}=80[/tex]

Solve

First, combine all like terms.

[tex]\displaystyle \frac{247+x}{4}=80[/tex]

Then, divide the fraction.

[tex]\displaystyle \frac{247}{4} + \frac{x}{4} = 80[/tex]

Subtract 247/4 from both sides of the equation.

[tex]\displaystyle \frac{247}{4} - \frac{247}{4} + \frac{x}{4} = 80 - \frac{247}{4}[/tex]

[tex]\displaystyle \frac{x}{4} = \frac{73}{4}[/tex]

Then, multiply both sides of the equation by 4 to get rid of the denominator and isolate the variable.

[tex]4\times\displaystyle \frac{x}{4} = 4\times\frac{73}{4}[/tex]

[tex]x=73[/tex]

Final Answer

[tex]\boxed{\bold{x=73}}[/tex]


Related Questions

Divide 11 by −4. Write the answer as a mixed number with the correct sign.(1 point)

Answers

Answer:

-2 3/4

Step-by-step explanation:

the sign is negative


1200 dollars is placed in an account with an annual interest rate of 7.75%. To the nearest year, how long will it take for the account value to reach 8200 dollars?

Answers

Answer:

26 years.

Step-by-step explanation:


A rectangular swimming pool has a length of l yards and a width 5 yards less than its length. How much does it cost to border the outside of
the pool using 1-yard square tiles that cost $4 each?
o (161 – 40) dollars
(161 – 24) dollars
(42–6) dollars
(161 - 20) dollars
8 of 15 answered
< PREV
7 8 9 10 11
12
NEXT >
..

Answers

Answer:

i need a bad bleep

Step-by-step explanation:

lol

1.) Which equation has a solution of 2/3 for n? A n - 1 = 1 3 B 160 24 C 15m = 10 D 1 +7= = 3

plssssss help i need it urgently plsssss​

Answers

The answer isssssssssss a

Which equation would be used to find the cost C of a ticket after L losses? PLS HELPP

Answers

Answer:

Choice C

Step-by-step explanation:

If L represents the number of losses, and each loss decreases the total ticket price ($47.48) by $0.29, then the equation can be written as the following

47.48 - 0.29L
If you plug in any value, larger than 0, you will see that the price decreases by a constant rate of $0.29

Hope this helps!!

Answer:

47.48/0.29=163.7241379


Use the table below to answer the following question. What does the number "12" in the lower right cell mean?

Answers

Answer:

52

Step-by-step explanation:

malai na ayerw sir lai sodeko sir la divas lai sodnw vannu vathyo sodeko sikayenan

sean places 14 tomato plants in rows .all rows contain the same number of plants. there are between 3 and 12 in each row. how many plants are in each row.

Answers

Answer:

7

Step-by-step explanation:

HELP!!! WILL GIVE BRAINLIEST.... TO CORRECT ANSWER! (WILL REPORT IF ITS NOT EVEN RELATED TO QUESTION)
A diver jumps from a cliff that is 48.5 feet above the surface of the water. She stops descending 12.5 feet under the water. What was the total distance of her jump?

Answers

Answer:

61 ft

Step-by-step explanation:

I'm assuming that the diver simply walked off the cliff since we were not given any information about the jump itself.

If the distance between the cliff and the surface of the water is 48.5 feet, and if the distance between the surface of the water and the place where the diver stopped descending is 12.5 feet, you would add those two distances up.

48.5 ft + 12.5 ft = 61 ft

The total distance of her jump from her was 61 feet.

Given that a diver jumps from a cliff that is 48.5 feet above the surface of the water, and she stops descending 12.5 feet under the water, to determine what was the total distance of her jump, the following calculation must be performed:

The height of the cliff and the depth at which it reached under the water must be added.

48.5 + 12.5 = X 61 = X

Therefore, the total distance of her jump from her was 61 feet.

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please help me out here guys I would really appreciate it (struggling hard)

Answers

Answer:

3/15 is pauls probability simplified to 1/5

7/ 14 is Kim's probability simplified to 1/2

so, the overall probability would be 1/10

In 2016, the price of a stock decreased by $11. In 2017, the price
decreased by $13. Write a sum of two integers equation that
represents the overall change in price of the stock for the two years.
Be sure to explain what it tells you about the price of the stock.

Answers

Answer: -11 + (-13)

Step-by-step explanation: This shows that the stock has decreased by 24.

Answer:

no rest for meeeee U_U

Step-by-step explanation:

(05.02)
Solve the following system of equations:
-2x + y = 1
-4x + y = -1

Answers

Answer: (1,3)

Explanation:

find the value of this expression if x=1 and y=4

xy^2/7

Answers

xy^2/7 = (1)(4)^2/7 = 4^2/7 = 7 square root 4^2 = 7 square root 16 = 7 square root 4

Answer:

2 2/7

Step-by-step explanation:

What we know:

x = 1, and y = 4

The equation is xy^2/7

1(4)^2/7

4^2/7

16/7 = 2 2/7

I can round to the nearest hundred 37,420 rounds to

Answers

the nearest hundred would be 37, 400

the nearest hundred would be 37, 400 is going to be your right answer.

Find all solutions to the equation $x^2 - 8x = -16$.

Answers

Answer:

x = 4

Step-by-step explanation:

x^2 - 8x = -16

Add 16 to both sides.

x^2  8x + 16 = 0

This may be the square of a binomial.

x^2 is the square of x

16 is the square of 4 and -4.

Let's check the middle term:

2ab = 2(x)(-4) = -8x

Yes, it is the square of a binomial.

x^2 - 8x + 16 = 0

(x - 4)^2 = 0

x - 4 = 0 or x - 4 = 0

x = 4 or x = 4

Answer: x = 4

Determine the number of solutions of this equation
x-2(x-6)= -x+12

One solution
Infinitely many solutions
No solution

Answers

Answer:

Infinitely many solutions.

Step-by-step explanation:

x-2(x-6)= -x+12

x - 2x + 12 = -x + 12

x - 2x + x = 12 - 12

0 = 0.

This means there are infinitely many solution.

I’ll give BRAINLIEST if right

Answers

Answer:

y = -2x - 3

Step-by-step explanation:

WILL GIVE BRAINLYST. Find the median, quartiles, and interquartile range of the data:

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

Answers

Step-by-step explanation:

median:3

25th Percentile: 2.5

50th Percentile: 3

75th Percentile: 4

Interquartile Range: 1.5

NEED ANSWER ASAP.......

Answers

B:156

c:9.9999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999

9999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999

9999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999

9999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999

9999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999

9999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999

9999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999

9999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999

9999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999

9999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999

9999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999

I DESPERATELY NEED HELP

Answers

Cost of 40 pounds of apples at David's apple is $50.

Cost of 40 pounds of apples at Pam's orchards is $37.5.

What is Multiplication?

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Anna want to pick 40 pounds of apples,

Now, At David's apple orchard cost of first 10 pounds = $2 per pound

And, Each additional pounds $1 per pound.

So, Cost of 40 pounds of apples at David's apple is calculated as;

Cost of first 10 pounds = 10 * 2 = $20

And, Cost of 30 pounds of additional apples = 30 * 1 = $30

Hence, Cost of 40 pounds of apples at David's apple = $20 + $30

                                                                                  = $50

At Pam's orchards first cost of first 10 pounds = $1.50

And, Each additional pounds $0.75 per pound.

So, Cost of 40 pounds of apples at Pam's orchards is calculated as;

Cost of first 10 pounds = 10 * 1.50 = $15

And, Cost of 30 pounds of additional apples = 30 * 0.75 = $22.5

Hence,  Cost of 40 pounds of apples at Pam's orchards = $15 + $22.5

                                                                                      = $37.5

Therefore,

Cost of 40 pounds of apples at David's apple is $50.

Cost of 40 pounds of apples at Pam's orchards is $37.5.

                                                                                 

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The illustration below is an example of a semi-regular tessellation.
A. True
B. False

Answers

I think it would be B.False

The illustration below is a semi-regular tessellation is a false statement.

What is Tessellation?

Tessellation is defined as the process of covering of a surface or a plane using the geometric shapes.

One geometric shape will not overlap with the other and there will not be any gaps in between.

There are regular tessellations as well as semi-regular tessellations.

Regular tessellations are the tessellations which are made using only a single type of the polygon to cover the entire surface.

Whereas in semi-regular tessellations, two or more regular polygons are used such that each vertex is the same to cover the surface.

Here, the illustration contains only one type of polygon which are tiled to each other with out any gaps.

It is actually regular tessellation.

Hence the statement that the illustration is semi-regular tessellation is incorrect.

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How would I solve this
Solve the quadratic equation 3x^2+x-5=0

Give your answers to 2 decimal places.

Answers

Answer:

x=  1.13 or x= -1.45

Step-by-step explanation:

use the quadratic square root formula (-b±√(b²-4ac))/(2a) .

a= 3

b=1

c= -5

replace the variables with the numbers listed above and just work out.

x=  1.13 or x= -1.45

Answer:

x = -1/6 + 1/6√61 or x = -1/6 + -1/6 √61

Step-by-step explanation:

3x^2+x-5=0

Using quadratic formula a=3, b=1, c=-5

x = -b ± √b^2 - 4ac / 2a

x = -(1) ± √(1)^2 - 4(3)(-5) / 2(3)

x = -1 ± √61 / 6

x = -1/6 + 1/6√61 or x = -1/6 + -1/6 √61

A motor Scooter travels 10 miles in the same time that a bicycle covers 4 miles if the rate of the scooter is 2 mph more than twice the rate of the bicycle find both rates

Answers

Answer:

Step-by-step explanation:

Which trigonometric functions are undefined when x = 0?

Answers

The trigonometric functions that are undefined when x = 0:

cot(x) and cosec(x)

We need to write the trigonometric functions are undefined when x = 0.

We know that the trigonometric functions are : sine, cosine, tangent, cotangent, secant and cosecant.

For angle x the trigonometric functions would be,

sin(x), cos(x), tan(x), cot(x), sec(x), cosec(x)

We know that, when x = 0,

sin(0) = 0 and cos(0) = 1

tan(x) = sin(x) / cos(x)

So, tan(0) = 0

cot(x) = cos(x)/sin(x)

cot(0) = 1 / 0

cot(0) = undefined

Also, sec(x) = 1/cos(x)

so, sec(0) = 1

And cosec(x) = 1/sin(x)

so, cosec(0) = 1/sin(0)

cosec(0) = 1 / 0

i.e., cosec(0) = undefined

Therefore, the trigonometric functions that are undefined when x = 0:

cot(x) and cosec(x)

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What is the measure of angle A? HELP QUICK I WILL GIVE BRAINLIEST ANSWER!

Answers

Answer:

118

Step-by-step explanation:

you can look at the 62° it is straight line to (2y).

And the left angle of 62°, let it be 'x' . Can be measured by [ x + 62° = 180°]

[x = 180° - 62° ]

( x = 118° )

Then, A is the alternate angle of x . so, the value of A is 118.. The reason is being alternate angle.

how do I do this I'm confused ​

Answers

Answer:

The interior angles of any triangle equal 180. Triangle CDF is an equilateral triangle meaning all of its angles are the same. 180/3=60

Each angle of triangle CDF is 60

1.m<CDF=60

____________________________________________________________

Isosceles triangles have the 2 base angles the same value while the other angle is another value. IN that instance, the m<a = m<f and the m<a + m<f +  m<b=180°

If we find one of the angles of ABF then we can find all of them.

the m<AFB + 35° + m<CFD + m<DFE=180°

we know that the m<CFD is 60

35+60+m<AFB + m<DFE=180

95+m<AFB + m<DFE=180

LEts look at the angle AFD

AFD is 150° and since m<AFD and the m<DFE are supplementary, the angle of DFE is 30

lets test it:

if m<DFE is 30 then

95+m<AFB + 30=180

125+m<AFB=180

m<AFB=55

therefore the m<BAF would also be 55 and the m<ABF would be 70

m<ABF=70

This is because the interior angles of any triangle add up to 180°

I hope this helps and please let me know if i was incorrect

Step-by-step explanation:

25 families live in the squares of a 5 × 5 chessboard, each occupying a square. As it often happens, each family thinks that their neighbors (i.e. those families living in the squares with which their square shares a side) have better living units. At a town hall meeting it is resolved to make everyone happier by moving the 25 families around so that each ends up in a square of one of their former neighbors. Unfortunately try as they might, the families cannot figure out any relocation scheme to carry out this resolution. Give a very simple reason explaining why they were doomed to fail. (Hint: 25 is odd).

Answers

Answer:

Step-by-step explanation:

hi

Answer:

I don't know really wut is the question

Solve for x and y. Round to the nearest tenth.

Answers

Answer:

for X its 90 degrees

Step-by-step explanation:

If its a right angle it is 90 degrees

Answer:

x=16

y=27.7

Step-by-step explanation:

In a 30-60 right triangle the side opposite the 30 degree angle is half the length of the hypotenuse.

x is the side opposite the 30 degree

so x=32/2=16

let's use pythagorean theorem to find y

x^2+y^2=32^2

y^2=32^2-x^2

y^2=1024-16^2

y^2=1024-256

y^2=768

y=√768

y=27.7

THE SHINKANSEN PASSENGER TRAIN OF JAPAN TRAVELS AT A RATE
OF 300 KILOMETERS PER HOUR. HOW MANY METERS PER HOUR IS
THIS SPEED?

Answers

Answer:

srry need points

Step-by-step explanation:

r u sure thats college work

The front wall of the storage shed is in the shape of a trapezoid.
The bottom measures 12 feet, the top measures 10 feet, and the height
is 6 feet, find the area of the front wall of the shed.
10ft
bft
12ft
Square Feet

Answers

Answer:

66 square feet

Step-by-step explanation:

please review the attachment for a detailed explanation

xz Is the prependicualr disector of segment WY. WY=66. Solve for k. Enter a number only.

Answers

Answer:

k = 4

Step-by-step explanation:

A perpendicular bisector is defined as a line or a line segment that divides a given line segment into two parts of equal measurement.

So WX = XY or WX = 1/2 WY

using WX = 7k + 5 and WY = 66

7k + 5 = 66/2

7k = 33 - 5

7k = 28

k = 4

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