The average cost of producing x game disks for a computer is given by the function C(x)=2.6+5460/x. Find the number of game disks that must be produced for the average cost to be $4.70.

O P=20($1.50)

If they sell 100 boxes of chocolates, they will make $3,000 in profit.

Given that each chocolate bar costs $1.50 and that there are 20 chocolate bars in a box, multiplication is required to get the profit for the entire box. Using this information, we discover that each chocolate box costs $30, multiplied by 100 boxes to equal $3000.

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Answer:

  $21.45

Step-by-step explanation:

You want to know the amount of a 9.75% commission on $220.

The amount of the commission is the product of the commission rate and the sales amount to which it is applicable. A 9.75% commission on $220 will be ...

  9.75% × $220 = 0.0975 × $220 = $21.45

Nathan would earn a commission of $21.45 on the sale.

__

Additional comment

We know that a 10% commission can be found by moving the decimal point on the sale amount. A 10% commission on $220 will be $22.

The commission rate of 9.75% is 1/4% less than 10%. 1/4% can be found in two steps: find 1%, then find 1/4 of that.

As with 10%, the 1% amount can be found by moving the decimal point. 1% of $220 is $2.20. One-quarter of that will be $2.20/4 = $1.10/2 = $0.55.

This is the amount we must subtract from the 10% value to make it be 9.75%.

The 9.75% commission amount is $22.00 -0.55 = $21.45.

(The point of using a strategy like this is that you can do the math mentally.)

Answer: 1/343

Step-by-step explanation:

Answer:

the answer is 115 degrees

Step-by-step explanation:

x is opposite of 115 and would be the same because they are congruent

MATHEMATICALLY WE SAY

[tex] - 2 < x \leqslant 3[/tex]

THE CIRCLE AT THE ENDPOINT OF THE LINE WHICH IS NOT SHADED MEANS NOT INCLUDED AND THE SHADED CIRCLE MEANS INCLUDED

HOPE THIS HELPS.

answer: 59+16=75

75 total in line

Answer:

x=2a*b

Step-by-step explanation:

(2x-x)/2a=b

x=2a*b

Answer:

  250 km

Step-by-step explanation:

Sarah traveled a total of 740 km, 2 hours more at a speed of 70 km/h than at a speed of 50 km/h. You want to know how far she traveled at 50 km/h.

The relations between time, speed, and distance are ...

  distance = speed × time

  time = distance/speed

If 'd' represents the distance (km) Sarah traveled by bus (at 50 km/h), then the time (hours) required was ...

  time = d/50

The time at 70 km/h is 2 hours more, and the total distance is ...

  total distance = (distance at 50 km/h) + (distance at 70 km/h)

  740 = d + 70(d/50 +2)

Simplifying the equation, we have ...

  740 = 2.4d +140

  600 = 2.4d . . . . . . . . subtract 140

  d = 250 . . . . . . . . . . . divide by 2.4

Sarah traveled 250 km by bus.

Answer:

9(x+3)

Step-by-step explanation:

9x + 27

Taking 9 as the common factor in the 2 terms

=> 9(x) + 9(3)

=> 9(x+3)

Answer:

21 slices of 3/8 inch

Step-by-step explanation:

Daisy would have 21.This is because 3 times 8 divided by 3 is 8.And 5 times 8 divided by 3 is 13 (you have to ignore the remainder) 8 plus 13 is 21

The length of a side of the square is 9 centimeters. The length of the diagonal is 12.73 centimeters.

A square is an object that has four sides of equal length. A square has two diagonals that biscect each other at 90°. The diagonals are of equal length. The diagonals of a square divide the square into two right triangles.

Area of a square = length²

Length = √area

√81 = 9cm

Pythagoras theorem can be used to determine the length of the diagonal.

The Pythagoras theorem: a² + b² = c²

Where:

9²  + 9²

= 81 + 81

= √162 = 12.73 cm

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The most appropriate choice for Profit and loss will be given by-

Cost price of the book is $270

What is Profit and loss?

The price at which an article is bought is known as cost price and the price at which the article is sold is known as selling price.

If the selling price of an article is more than the cost price, the difference between the selling price and the cost price gives the profit.

If the selling price of an article is less than the cost price, the difference between the cost price and the selling price gives the loss.

Here,

Selling price of book = $500

Profit = $230

In case of profit, cost price is always less than the selling price

Cost price of the book = Selling price - profit

                                      = $(500 - 230)

                                       = $270

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Answer:

$40928.57

Step-by-step explanation:

(5·36500 + 2·52000) / (5 + 2) = 40928.57

Answer: 8

Step-by-step explanation:

Since the expression is raised to the 3rd power, the highest exponent x will have will be 3. So in order to get the coefficient you multiply 2x by itself 3 times, getting (2x)³ = (2 * 2 * 2)(x * x * x) = (8)(x³) = 8x³

[tex]\qquad \qquad \textit{binomial theorem expansion} \\\\ \qquad \qquad (2x-1)^{3}~\hspace{4em} \begin{array}{cccl} term&coefficient&value\\ \cline{1-3}&\\ 1&+1&(2x)^{3 }(-1)^0\\ 2&+3&(2x)^{2}(-1)^1\\ 3&+3&(2x)^{1}(-1)^2\\ 4&+1&(2x)^{0}(-1)^3 \end{array} \\\\\\ 1(8x^3)+3(-4x^2)+3(2x)+1(-1)\implies \text{\LARGE 8}x^3-12x^2+6x-1[/tex]

The smallest height of the tower is 24 cm.

An expression contains terms with addition, subtraction, multiplication, and division.

Example: 44 + 3x + 4y = 7 is an expression.

We have,

Grace:

Blocks = 8 cm

Kian:

Blocks = 12 cm

Now,

Grace and Kian both have the same height.

This means,

The least common multiples of 8 and 12.

4 x 2 = 8

4 x 3 = 12

So,

4 x 2 x 3 = 24

Thus,

The smallest height of the tower is 24 cm.

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On making b the subject , the formula is b =  (5/3)a  .

in the question ,

it is given that

the formula is a = 3(2a-b), where the subject is a ,

we have to rewrite the formula with b as the subject .

So, the given formula is

a = 3(2a-b)

simplifying the RHS , we get

a = 3*2a - 3*b

a = 6a - 3b

on re arranging the terms , we get

3b = 6a - a

3b = 5a

Dividing both sides by 3 ,we get

3b/3 = 5a/3

Cancelling out 3 from LHS , we get  

b = 5a/3

b = (5/3)a

Therefore , On making b the subject , the formula is b =  (5/3)a  .

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Answer:

tengo

Step-by-step explanation:

i am hispanic

Step-by-step explanation:

a slope-intercept form :

y = ax + b

"a" is the slope, "b" is the y-intercept (the y-value when x = 0).

the slope is the ratio (y coordinate change / x coordinate change) when moving from on point on the line to another.

"b" we can read off the graph : when x = 0, then y = -5.

so, b = -5.

for the slope let's pick 2 points. your teacher has kindly marked already points with integer coordinates.

so, I pick (3, 1) and (4, 3).

x changes by +1 (from 3 to 4).

y changes by +2 (from 1 to 3).

so, the slope is

+2/+1 = 2/1 = 2

the equation is

y = 2x - 5

Answer: y=2x-5

Step-by-step explanation:

Choose two points on the graph: (0,-5) and (3,1)

The straight line equation is: y=mx+b

1)

             [tex]\displaystyle\\\boxed {The\ slope\ m\ =\frac{y_2-y_1}{x_2-x_1} }[/tex]

[tex]\displaystyle\\x_1=0\ \ \ \ \ x_2=3 \ \ \ \ y_1=-5\ \ \ \ y_2=1\\\\ Hence,\\\\m=\frac{1-(-5)}{3-0} \\\\m=\frac{1+5}{3} \\\\m=\frac{6}{3} \\\\m=2\\\\Thus,\ y=2x+b\ \ \ \ \ (1)[/tex]

2)

To determine the coefficient b, take any of the two points,

for example, (0,-5), that is, x=0 y=5

Substitute these values into formula (1):

[tex]-5=2*0+b\\-5=0+b\\-5=b\\Thus,\ b=-5[/tex]

The result is y=2x-5

Answer:

The height is 7 units the length is 12 units.

Step-by-step explanation:

It's 6 and 6 for the graph one.

Answer:

Step-by-step explanation: X=-5,-4,-3,-2,-1 Y= -2,-3,-4,-3,-2

Answer: x<1

Step-by-step explanation:

The linear equation which represents the situation or the amount of water in the bathtub in terms of the number of minutes is y = 7x + 18.

A straight line on the coordinate plane is represented by a linear function.

In another word, a linear function is a function that varies linearly with respect to the changing variable.

Let's suppose the number of minutes by x and the amount of water by y

As per the given question,

The amount of water (y) initially (x = 0) is 18 gallons.

The first point (0,18).

The amount of water (y) at x = 5 is 53 gallons.

The second point (5,53).

The linear equation is given as y = mx + c where m is the slope.

Slope m = (53 - 18)/(5 - 0) = 7

Substitute (0,18) →

18 = 7(0) + c

c = 18

So the equation become as,

y = 7x + 18.

Hence "The linear equation which represents the situation or the amount of water in the bathtub in terms of the number of minutes is y = 7x + 18".

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The total change in the number of bushels for sale is 64.1 bushels.

Given

A farmer has 160 bushels of apples to sell at her roadside stand. Every day, she sells around a 13 7/10 bushel.

Let us calculate the overall change in the number of bushels she has available for sale after 7 days.

137/10

Now we'll figure out how many bushels she'll sell in seven days.

7 x 137/10

95.9

In 7 days, the farmer will sell 95.9 bushels. To calculate our overall change, subtract this figure from the total number of bushels of apples.

165 - 95.9 = 64.1

Thus, a total of 64.1 bushels have been added to the amount of bushels available for sale.

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Answer:

2. (x+6)+(x+6)+(x+6)

4. 3x+18

Why its (x+6)+(x+6)+(x+6)

Since there's a 3 next to (x+6), you are multiplying 3 and (x+6). That means there are three (x+6) groups. Thus, it's just (x+6)+(x+6)+(x+6).

Why its 3x+18

When you use the distributive property, you multiply 3 and x, and multiply 3 and 6, which gives you 3x and 18, which equals 3x+18.

Answer:

$9.00

Step-by-step explanation:

if 2 pieces of chicken ordered  --> $3.00

6 pieces of chicken ordered --> x

(cross multiplication)

[tex]x= \frac{6*3}{2}[/tex]

so x = 9

then, 6 pieces of chicken ordered is $9.00

The decimal which represents the fraction of the people who vote for kiwi among all 9 people is 1/9 it's 0.1111111.

It represents the number of pieces removed from the whole. The denominator of a fraction is the numerical value that comes before the brings together various.

As per the given,

Number of people who vote on their favorite fruit = 9

Number of people who vote for kiwi = 1

The fraction of person vote kiwi to vote on their favorite fruit = 1/9

In decimal form 1/9 =  0.1111111.

Hence "The decimal which represents the fraction of the people who vote for kiwi among all 9 people is 1/9 it's 0.1111111".

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Using it's concept, it is found that:

a) The percent error is of 16.67%.

b) To get the same percent error, the amount of error needs to be the same. Because the estimate was 40 people below the attendance, an estimate of 40 people above the actual attendance will give the same percent error. Therefore, the other estimate that gives the same percent error is an amount of 280 people.

The percent error is given by the difference between the actual and the expected amount, divided by the expected amount and multiplied by 100%.

In the context of this problem, the amounts are given as follows:

Hence the percent error is given as follows:

(240 - 200)/240 x 100% = 16.67%.

For item b, we want to have the same absolute difference between the actual amount and the expected amount, that is:

|Actual - Expected| = 40.

Meaning that there are two possible outcomes:

Which gives the answer to item b, completing the sentences.

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