John's grades in Algebra are: 65, 83, and 93. What grade does John need on the final exam to get an 85
average (mean)?

Answers

Answer 1

Answer:

99 marks

Step-by-step explanation:

Let 'x' be the mark in final exam

Sum of all the data's/ Number of data's = Mean

[tex]\frac{65+83+93+x}{4}=85\\\\\\\frac{241+x}{4} = 85[/tex]

241 + x  = 85*4

241 + x = 340

       x = 340 - 241

x = 99


Related Questions

Find the slope of (2,5) (-3,-5)

Answers

Answer:

slope is m = 2

Answer:

2

Step-by-step explanation:

The slope of a line given two points can be found by using the formula

[tex]m = \frac{ y_2 - y _ 1}{x_ 2 - x_ 1} \\ [/tex]

From the question we have

[tex]m = \frac{ - 5 - 5}{ - 3 - 2} = \frac{ - 10}{ -5 } = \frac{10}{5} = 2\\ [/tex]

We have the final answer as

2

Hope this helps you

The cost of printing 200 business cards is $23. The cost of printing 500 business cards is $35. What linear equation that could be used to solve this problem?​

Answers

There’s no question?

2x+3y= -18 on the graph

Answers

Answer:

graph two points at the coordinates (-6, 0) and the coordinates (-8, 3), and make a line through them.

Step-by-step explanation:

First simplify. 2x+3y= -18.,   -----------> 3y= -2x -18., ---------> y= -2/3x -6

To graph this you would first go to the coordinates (-6, 0) and put a point there. Next, you would go to the coordinates (-8, 3) and put a point there. Then make a line and you are done. That should be right.

Why has social media made a significant impact on influencing government
decisions on controversial issues?

Answers

Answer:

I have not come across this particular mathematical topic lol. Social media influences people and people influence government. Unless you leave in a non-democracy, the government cares about public opinion to some extent.

Dixie packaging co has contracted to manufacture a box with no top that is to be made by removing squares of width x from the corners of a 15-in by 60-in piece of cardboard.


a) Write a function for the VOLUME of the box as a function of x.

b) Determine x so that the volume of the box is at least 450 cubic inches.

c) Determine x so that the volume of the box is maximum.

Answers

Answer:

a) V(x) = x ( 60 -2x )( 15-2x )

b) 0.55 inches ≤ x ≤ 6.79 inches

c) x ≥ 6.79 inches

Step-by-step explanation:

Given data:

No top, cardboard dimensions ; 15-in by 60-in

a) A function for the volume of the box as a function of x the Volume can be represented by this function below

= V(x) = x ( 60 -2x )( 15-2x )

where : x = height ,  ( 60 - 2x ) = length , ( 15 -2x ) = width

b) determine x so that the volume of the box ≥ 450 inches

450 = x( 60 - 2x ) ( 15 -2x ) ( solving the equation )

0.55 inches ≤ x ≤ 6.79 inches

c ) The value of x for which volume of the box is maximum

will be x ≥ 6.79 inches

The volume of the box as a function of x V(x) = x ( 60 -2x )( 15-2x )

The volume of the box as a function of x inches 0.55 inches ≤ x ≤ 6.79

The volume of the box is maximum x ≥ 6.79 inches

Given ,

The box with no top that is to be made by removing squares of width x

The corners of a 15-in by 60-in piece of cardboard.

Volume can be represented by this function below

         V(x) = x ( 60 -2x )( 15-2x )

Where : x = height ,  ( 60 - 2x ) = length , ( 15 -2x ) = width

The volume of the box as a function of x is  V(x) = x ( 60 -2x )( 15-2x )

To determine x so that,

The volume of the box ≥ 450 inches

V(x) = x ( 60 -2x )( 15-2x )

The volume of the box is at least 450 cubic inches.0.55 inches ≤ x ≤ 6.79 inches

The value of x for which volume of the box is maximum  will be x ≥ 6.79 inches.

For more information about Volume of the square click the link given below

//httpsbrainly.com/question/23245822

does anyone know the answer ? and if you do can you explain how to do it ?

Answers

Answer: I think its answer choice b

Step-by-step explanation:

You're dividing so you would be subtracting the exponents

-9-5x>6= what pls answer​

Answers

Answer:

X< -3

( − ∞ , − 3 )

cam sone ine please help me ASAP ​

Answers

Answer:

x = 63°

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

∠ DAB is an exterior angle of the triangle, thus

x + 65 = 128 ( subtract 65 from both sides )

x = 63

Answer:m

Step-by-step explanation:m

The tree casts a shadow 48ft long. At the same time of day an alien who is 7ft tall
casts a shadow 12ft long. What is the height of the tree? Explain or show all work.

Answers

Answer:

28 ft

Step-by-step explanation:

Since the shadows were cast at the same time of the day, both triangular images formed would be similar to each other.

Therefore, the ratio of their corresponding sides would be equal.

That is, the height of the tree / the height of the alien = the shadow of the tree / the shadow of the alien

Height of the tree = x ft

Height of the alien = 7 ft

Shadow of the tree = 48 ft

Shadow of the alien = 12 ft

Plug in the values into the proportional equation stated earlier.

Thus, the ratio of their corresponding sides would be:

[tex] \frac{x}{7} = \frac{48}{12} [/tex]

Cross multiply

[tex] x*12 = 48*7 [/tex]

[tex] 12x = 336 [/tex]

Divide both sides by 12

[tex] x = \frac{336}{12} [/tex]

[tex] x = 28 [/tex]

The height of the tree = 28 ft

What is the equation of the line that is parallel to the
given line and passes through the point (-2, 2)?
O y = x +4
O y = kx + 12
O y=-5x + 4
O y = -5x + 12

Answers

Step-by-step explanation:

What is the equation of the line that is parallel to the

given line and passes through the point (-2, 2)?

O y = x +4

O y = kx + 12

O y=-5x + 4

O y = -5x + 12

As an estimation we are told £3 is 4 euros. Convert £28.50 to euros.

Answers

Answer:

38 euros

Step-by-step explanation:

£3=4 euros

28.50=

28.50/3=9.5

4 x 9.5=

Which one of following graphs the equation
Y=1/3x-2

Answers

u can use a math app to help you graph

6 = 2(y +2)
What does y equal

Answers

Answer:

One

Step-by-step explanation:

6=2(y+2)

Distribute 2

6=2y+4

-4    -4

2=2y

______

2

y=1

Answer:

y = 1

Step-by-step explanation:

First, you need to use the distributive property to simplify:

6 = 2y + 4

Then, subtract 4 from both sides, so you get the numbers on one side and the variables on the other.

2 = 2y

Divide both sides by 2, and . . .

y = 1

Solve for x
64°
Х
45°

Answers

Answer:

x = 109

Step-by-step explanation:

64 + 45 = 109

180 - 109 = 71

180 - 71 = 109

HELP PLEASE! WILL MARK BRAINLIST!!! MATH :(

Answers

Answer:

There is no picture but i can help you if you want. :)

Step-by-step explanation:

Answer:

what is the question

Step-by-step explanation:

8 squared by 6 ÷ 4 squared by 3 =

Answers

8^6 ÷ 4^3

8^6 = 262,144

4^3 = 64

So, 262,144 ÷ 64 = 4,096.

Done!

Answer:

2^12 = 4096

Step-by-step explanation:

Assuming that the problem is:

8^(6) / 4^(3)

1. Convert all numbers to the same base

In other words, rewrite the problem such that all the bases (the numbers under the exponent) are the same.

8 can be rewritten as 2^3

4 can be rewritten as 2^2

Hence the problem is:

((2^(3))^(6)) / ((2^(2))^(3))

2. Combine the exponents on the numerator and denominator

((2^(3))^(6)) / ((2^(2))^(3))

Simplify, remember an exponent to the power of another exponent is the same as multiplying the two exponents, applying this:

(2^(18)) / (2^(6))

3. Simplify the fraction and solve

(2^(18)) / (2^(6))

Dividing two exponents, with the same base is the same as subtracting the exponents, hence:

(2^(12))

= 4096

The first 12 seconds of a rollercoaster ride can be modeled by a polynomial function where t is the number of
seconds and h(t) is equal to the height of the roller coaster in feet. Some roller coasters go underground as well
as above ground. In factored form, the rollercoaster can be modeled by the function
2
h(t)=2/5 (t - 1) (t-1) (t - 9) (t - 11)
What key feature(s) can be easily identified from the factored form? Explain how each key feature is related to
the rollercoaster. Use specific values in your explanation.

Answers

Answer:

&usher jxn xviii h h bxjcu hxhxh ucjcucjj cjdnjxj j uidusijxkd

Pls help i only have 30 mins left

Answers

Answer:

d=rt is basically y=mx+b but with different variables. B is where the line intercepts the y axis and since this line intercepts at 0, 0 b can automatically be deleted from the equation. therefore d=rt is equivilent to y=mx

The slope is 6. I know this by looking at the first point of the line (0, 0) and finding the next point on the line (1, 6). To get from 0, 0 to 1,6 you need to go up 6 and over 1. Since rise/run is the slope of a line 6/1 or 6 is the slope.

At 1, 6 we see that in 1 hour, joseph went 6 miles. Therefore the constant rate is 6 miles per hour (6 mp/h.)

The slope, already found, is 6 and therefore if d=rt is equivilent to y=mx we can write our equation as d=6t

6 mp/h

d=6t

Step-by-step explanation:

Jack is getting balloons for his uncle's birthday party. He wants each balloon string to be 6 feet long. At the party store, string is sold by the yard. If Jack wants to get 55 balloons, how many yards of string will he need? 1 foot = 1 3 yard

Answers

Answer:

110 yards of string

Step-by-step explanation:

Converting the feet of the string of 1 balloon to yard

1 foot = 1/3 yard

6 feet = x

x = 6 × 1/3 yard

x = 2 yard

Hence 1 balloon uses 2 yard of string

Since:

1 balloon = 2 yard of string

55 ballons = x

x = 55 × 2 yard of string

x = 110 yards of string

Hence, for 55 balloons he would need 110 yards of string.

Two students have examined the scatter plot shown and have created a line of best fit for the data. Student A believes that the line of best fit for the data is y=−2x+24, while Student B believes that the line of best fit for the data is y=1.5x+23. Determine which student created a better line of best fit given the data in the graph. Justify your answer using mathematics.

Answers

Answer:

Is student B because student B data has -2 which is facing the same way the scatter plot is while student A is facing the left while the scatter plot is on the right.

If you don't understand go to desmos graphing calculator and enter y=−2x+24 and y=1.5x+23.

3. PQR is an isosceles triangle with PQ = PR, and angle QPR = x".
P
Angle PQR = (2x + 30)
Diagram not drawn to scale
PR = (2x + 3) cm
QR = (r + 3) cm
1(2r+3)
H
+
(2x +30)
R
(r+3)
(a) Find an expression for the perimeter of the triangle in terms of r, giving
your answer in its simplest form.
(b) Work out the value of r, if the perimeter is 49 cm.

Answers

Answer:

a). Perimeter = (5r + 9) cm

b). r = 8

Step-by-step explanation:

Property of isosceles triangle:

- Two sides of an isosceles triangle are equal.

- Opposite sides of the equal angles are equal in measure.

  From the figure attached,

  PQ = QR = (2r + 3)

a). Since perimeter of a polygon = sum of all sides of the polygon

                                                 = PQ + QR + PR

                                                 = (2r + 3) + (2r + 3) + (r + 3)

                                                 = 5r + 9

    Perimeter of the given triangle = (5r + 9) cm

b). Perimeter of the given triangle = 49 cm

    (5r + 9) = 49

     5r = 40

      r = 8

How long will this trip take? A bike 15 miles per hour on a biking trail to a trailhead 30 miles away.

Answers

Answer:

2 hours

Step-by-step explanation:

Distance = Rate * Time

If we replace these with the numbers in the problem and use "t" as the variable, it becomes:

30 miles = 15 mph * t

Now, to solve:

30 = 15t

divide both sides by 15

t = 2

add the units

time = 2 hours

(01.05 LC)Which fraction is equivalent to negative 3 over 7?
1. negative 7 over 3
2. 3 over negative 7
3. 3 over 7
4. 7 over 3

Answers

2. 3 over negative 7

Answer:

2. 3 over negative 7

Step-by-step explanation:

SOME ONE PLEASE HELP I WILL GIVE 20 POINTS

Answers

the answer to this question is 7x+1

what speed would you have to go in order to travel 1038 miles in 1 hour

Answers

Answer:

1038 miles/hour

Step-by-step explanation:

Speed is the distance divided by the time

A football jersey that origanally sells for $75 is on sale for 35% off the original peice. what is the sale price of the football jersey?

Answers

Answer: 48.75

Step-by-step explanation:

75 * 0.35 = $26.25 off
$75.00 - $26.35 = $48.75
The price after sale is $48.75

4v = 20
Help please

Answers

Answer:

v=5

Step-by-step explanation:

you are trying to make 4v into v right ?

so simply divide it by 4 - the same if it was 4a or 7a or 9k, always start by dividing by the number

then you need to balance the two sides - so whatever number you divide the letter by (which is the 4 in this case) , you do the same with the other side , so whatever number is after the equal sign , divide it by 4

PART ONE                                      ↓ 4v  =   20  

           DIVIDE BY 4                       →  v   =    20

PART TWO                                          v   =   20

                                                            v   =     5 ←           DIVIDE BY 4

Solve five ninths minus two sixths equals blank.

twelve fifty fourths
twenty fifty fourths
six thirds
three over one

Answers

The result of five ninths minus two sixths is two - ninths.

Let us first write the words in figures so that we can perform the required calculation;

five ninths = 5/9

two sixths = 2/6

This means that we are simply asked to subtract 5/9  from 2/6

Hence;

5/9 - 2/6, we have to take LCM. The LCM of 5/9 and 2/6 is 18. The term LCM actually means lowest common multiple of 9 and 6.

So;

[tex]\frac{10 - 6}{18} = \frac{4}{18} = \frac{2}{9}[/tex]

Learn more: https://brainly.com/question/6284546

Answer

the answer would be 12/54 i did the test and got 100%

Step-by-step explanation:

.

Find the area of shaded portion.​

Answers

Answer:89.12 cm ^2

Kept trying to put picture here website wouldn't do it


Consider the function f(x) = 9X. Which statement MUST be true?
Α)
f(4), f(8)
f(1) f(5)
B)
f(4)-f(1) = f(8) f(5)
C)
f(4) - f(1) = f(8) - f(5)
ng
20
cols
D)
f(4) - f(1) = f(-4) - f(-1)

Answers

Answer: C

Explanation: it’s the longest one
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