All of these have to be estimated using the chart shown^
1- 11% of 507
2-26% of 91
3-34% of 91
4-48% of 124
5-20% of 66
6- 47% of 80
7-48% of 202
8-74% of 39
9-30% of 118
10-20% of 42
11-arnold ate breakfast at a restaurant. The total cost of his food, juice, and coffee was $6.45. If the sales tax rate is 8% and Arnold wants to leave a 20% tip. how much should he pay
12- rodneys weekly gross pay is $91. He must pay 32% of taxes and deductions. estimate rodneys weekly take home after deductions.

The factorization of the polynomial b³-1000 is (b-10)(b²+10b+100).

The factorization method uses basic factorization formula to reduce any algebraic or quadratic equation into its simpler form, where the equations are represented as the product of factors instead of expanding the brackets. The factors of any equation can be an integer, a variable, or an algebraic expression itself.

The given expression is b³-1000.

Here, b³-1000=b³-10³

Using a³-b³=(a – b)(a² + ab + b²), we get

(b-10)(b²+10b+100)

Therefore, the factorization of the polynomial b³-1000 is (b-10)(b²+10b+100).

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In general, it is a good idea to experiment with different scales and choose the one that best represents the data on bar graph while remaining easy to read and interpret.

What is a bar diagram?

Bar graphs or bar charts are visual depictions of groups of data that are made up of vertical or horizontal rectangular bars with lengths that are equal to the data's measure.

The choice of scale for a bar graph depends on the range of values that a person wants to display and the level of detail you want to show.

When selecting a scale for a bar graph, one should consider the following -

The range of values: Choose a scale that includes all of the values you want to display.

If the range is wide, you may want to use a logarithmic scale to make the differences between values more visible.

The number of bars: If there are many bars, one may want to use a smaller scale to avoid overcrowding the graph.

The level of detail: If a person wants to show small differences between values, you may want to use a smaller scale.

The purpose of the graph: If the graph is intended to highlight trends, a person may want to use a larger scale to emphasize differences.

Therefore, the choice depends on purpose of the bar graph.

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If the perimeter of the train ticket is 60 centimeters and it's length is 17 centimeter long it's height is 13 centimeter

A perimeter is a closed path that encompasses, surrounds, or outlines either a two dimensional shape or a one-dimensional length.

To find the perimeter of a rectangle we add all this sides together. This means that the perimeter of a rectangle is given as ;

P = l+l+w+w

P= 2(l+w)

60 = 2( 17+w)

60 = 2( 17+w)

17+w= 60/2

17+ w = 30

w = 30-17

w = 13cm

Therefore the height of the train ticket is 13cm

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A prime number is a positive integer greater than 1 that has no positive integer divisors other than 1 and itself. 0 is not a positive integer and 1 is not greater than 1, so they are not considered a prime number.

A whole number higher than one that cannot be divided exactly by any other whole number than itself and one is a prime number.

Complete numbers, the range of numbers that includes zero and natural numbers and not a decimal or fraction.

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Answer:

slope is (1,1) (0,3) just count number of squares, if there was an equation involved use y=mx+b

Step-by-step explanation:

Answer: U=9

Step-by-step explanation:

Answer:

14.4 dollars

Step-by-step explanation:

If you buy an item at $18 dollars with a 20% discount, you will pay 18 - 3.6 = 14.4 dollars

Answer:

The numbers are 16 and 25

Answer:

C. 11:16

Step-by-step explanation:

It is C, it can't go simpler bcs of 11

Answer:

-20

Step-by-step explanation:

Below means negative

Answer:

1) There are 2 sandwiches and 4 drinks, so there are 2 x 4 = 8 possible lunch specials.

2) There are 5 odd numbers among the 10 balls labeled 1 through 10. Therefore, the probability of picking an odd number is:

P(odd) = number of odd balls / total number of balls = 5/10 = 1/2

So, the probability of picking an odd number is 1/2.

3) There are four sevens in a standard 52 card deck (one for each suit), so the probability of drawing a seven is:

P(seven) = number of sevens / total number of cards = 4/52 = 1/13

So, the probability of drawing a seven is 1/13.

4) There are 26 red cards in a standard 52 card deck (half of the cards are red), and four of these are sevens. Therefore, the probability of drawing a red card and a seven is:

P(red and seven) = P(red) x P(seven | red)

where P(red) is the probability of drawing a red card and P(seven | red) is the probability of drawing a seven given that a red card has been drawn.

P(red) = number of red cards / total number of cards = 26/52 = 1/2

P(seven | red) = number of red sevens / number of red cards = 4/26 = 2/13

So,

P(red and seven) = (1/2) x (2/13) = 1/13

Therefore, the probability of drawing a red card and a seven is 1/13.

Answer:

a. (1,2), b. (1, 0)

Step-by-step explanation:

a.

\(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2}\\\text{Substitute the values.}\\\frac{-3+5}{2},\frac{5+(-1)}{2}\\\text{Evaluate the numerators.}\\\frac{2}{2},\frac{4}{2}\\\text{Simplify.}\\1,2\\\text{The midpoint of (-3, 5) and (5, -1) is (1, 2).}\)

b.

\(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2}\\\text{Substitute the values.}\\\frac{-4+6}{2},\frac{-3+3}{2}\\\text{Evaluate the numerators.}\\\frac{2}{2},\frac{0}{2}\\\text{Simplify.}\\1,0\\\text{The midpoint of (-4, -3) and (6, 3) is (1, 0).}\)

x + 2x + 6 = 27

3x + 6 = 27

x + 2 = 9

x = 9 - 2

x = 7

2 × 7 = 14

14 + 6 = 20

Answer:

.200 because 22,000 % by 7 is 1540 which you divide by 10,000

Step-by-step explanation:

hope this helps

The approximate monthly decrease in value is $255.2

A percentage is a number or ratio expressed as a fraction of 100.

Given,

Value of the car = $22000

Loss percentage of value per year = 13.9%

Loss percentage of value per month =\(\frac{13.9}{12}\) =1.16%

Decrease in value per month = \(22000(\frac{1.16}{100})\)= $255.2

Hence, the approximate monthly decrease in value is $255.2

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Answer: 41,200 minutes

Step-by-step explanation: 412 x 100 is 41,200, so she need 41,200 minutes  to comeplete the 100-mile drive.

Answer:

3.75

Step-by-step explanation:

If Alex borrowed 12.50 and paid him back only 8.75, that means he still owes him 3.75. 12.50 - 8.75 = 3.75

Hence, it has been proven that the function f achieves either an absolute minimum or an absolute maximum on the interval (0,1).

Let f : (0,1) → r be a continuous function such that lim x→0 f(x) = lim x→1 f(x) = 0. show that f achieves either an absolute minimum or an absolute maximum on the interval (0,1).Solution:The interval given is a closed interval that is bounded (it is bounded by 0 and 1) and therefore compact. By the extreme value theorem, a continuous function on a compact interval attains its maximum and minimum at some points in the interval. Hence, there exists a and b in the interval (0, 1) such that f(a) is the maximum of f on the interval and f(b) is the minimum of f on the interval.Since lim x→0 f(x) = lim x→1 f(x) = 0, then we may have a, b ≠ 0 or 1. But a and b must be within the interval (0,1).Hence, it has been proven that the function f achieves either an absolute minimum or an absolute maximum on the interval (0,1).The total words used in the answer is 152.

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Answer:

-300

Step-by-step explanation:

Step 1:  Find the amount Elmer's funds decreased after purchasing the rabbits:

Let x represent Elmer's funds.

Since Elmer bought five rabbits for $10 each, he lost $10 5 times.

x - (10 * 5)

x - 50

Thus, Elmer lost (spent) $50 for the 5 rabbits.

Step 2:  Find the amount Elmer's funds decreased after purchasing the  cupboards:

Since Elmer bought four cupboards for $70 each, he lost $70 4 times:

x - (50 + (70 * 4))

x - (50 + 280)

x - 330

Thus, after purchasing the rabbits and cupboards, Elmer lost $330.

Step 3:  Find the amount Elmer's funds increased after finding the twenty-dollar bill:

Since Elmer found a twenty-dollar bill, he gained $20

x - (330 + 20)

x - 310

Step 4:  Find the amount Elmer's funds increased after returning one rabbit:

Since Elmer returned one rabbit, he gained $10:

x - (310 + 10)

x - 300

Thus, Elmer's funds changed totally by -$300.

Putting all the information together, we have:

x - 10 - 10 - 10 - 10 - 10 - 70 - 70 - 70 - 70 + 20 + 10

x - 50 - 280 + 30

x - 330 + 30

x - $300

The height of the tree is 5 times of the castle. Then the height of tree is 70 m.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

The castle tower has a height of 14 m. The height of the tree is 5 times of the castle.

The height of the tree is calculated as,

⇒ 14 x 5

⇒ 70 m

The height of the tree is 70 m.

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The complete question is given below.

The castle tower has a height of 14 m. The height of the tree is 5 times of the castle. Work out the height of the tree.

The solution to the inequality is y ≤ -8. This means that any value of y that is less than or equal to -8 will satisfy the original inequality.

To solve the inequality y + 7 ≤ -1, we need to isolate the variable y on one side of the inequality sign.

Starting with the given inequality:

y + 7 ≤ -1

We can begin by subtracting 7 from both sides of the inequality:

y + 7 - 7 ≤ -1 - 7

y ≤ -8

The solution to the inequality is y ≤ -8. This means that any value of y that is less than or equal to -8 will satisfy the original inequality.

In the context of a number line, all values to the left of -8, including -8 itself, will make the inequality true. For example, -10, -9, -8, -8.5, and any other value less than -8 will satisfy the inequality. However, any value greater than -8 will not satisfy the inequality.

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The following question may be like this:

What is a solution of the inequality shown below? y+7≤-1

The new cost function for downloading data is as follows:

C(x) = { 14.50x if 0 <= x < 2

           20.50x if 2 <= x < 5

           24.60x if x >= 5 }

Option D is correct.

Here, we have, the new cost function for downloading data based on the given conditions.

If 0 <= x < 2 gigabytes:

The original cost function is C(x) = 12x.

After raising the rate by $2.50, the new cost function for this range becomes C₁(x) = (12+ 2.50)x = 14.50x.

If x >= 2 gigabytes:

The original cost function is C(x) = 18x.

After raising the rate by $2.50, the new cost function for this range becomes C₂(x) = 18x + 2.50x = 20.50x.

If x >= 5 gigabytes (20% more):

The original cost function is C(x) = 18x.

After raising the rate by $2.50 and charging 20% more, the new cost function for this range becomes C₃(x) = [1.20 * (18+ 2.50)]x = 24.60x.

Now, we need to combine these functions to get a single function for the new rates:

For 0 <= x < 2 gigabytes: C(x) = C₁(x) = 14.50x

For 2 <= x < 5 gigabytes: C(x) = C₂(x) = 20.50x

For x >= 5 gigabytes: C(x) = C₃(x) = 24.60x

So, the new cost function for downloading data is as follows:

C(x) = { 14.50x if 0 <= x < 2

           20.50x if 2 <= x < 5

           24.60x if x >= 5 }

Option D is correct.

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Answer:

6/7

Step-by-step explanation:

....................

Answer:

The inequality is given as:

5x + 4y ≤ 50

Step-by-step explanation:

Let the number of

Chocolate pies = x

Apple pies = y

He has $50 pocket money,and hes looking to buy chocolate pies for $5 each and apple pies for $4 each.

Hence:

$5 × x + $4 × y ≤ $50

The the inequality to describe the possible number of chocolate pies and apple pies that mark can buy is given as:

5x + 4y ≤ 50

Answer: 40 minutes

Step-by-step explanation:

It takes 16 minutes for the first 2 stations to water their sections which means that the time taken per station is:

= 16/2

= 8 minutes per station

Ms. Reynolds has 5 stations.

Total time taken will therefore be:

= 8 * 5

= 40 minutes

Answer:

Is Square Root of 25 Rational or Irrational?  

Step-by-step explanation:

A rational number can be expressed in the form of p/q. Because √25 = 5 and 5 can be written in the form of a fraction 5/1. It proves that √25 is rational.

The answer is:

Work/explanation:

What are rational numbers?

Rational numbers are integers and fractions.

Irrational numbers are numbers that cannot be expressed as fractions, such as π.

Now, \(\bf{\sqrt{25}}\) can be simplified to 5 or -5; both of which are rational numbers.

Answer:

x=5

Step-by-step explanation:

move the constant to the right

calculate

devide both sides

simplify the equation

seperate the solution

(x=5)

Answer:

x = 2

Step-by-step explanation:

locate y = f(x) = 3 on the y- axis , go horizontally across to meet the line at

(2, 3 ) , then

when x = 2 , f(x) = 3

Hey there!

Please remember that the ordered pair (0,0) is also called the origin.

Its x-coordinate is 0, and its y-coordinate is 0.

If a line intersects a point (0, 0) then it basically intersects the origin.

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