What is Q1 in the given box-and-whisker plot?A box-and-whisker plot. The number line goes from 0 to 20. The whiskers range from 2 to 19 and the box ranges from 6.5 to 18. A line divides the box at 17.a.2c.17b.6.5d.18

Solution

The partial sum of the arithmetic sequence with a = 3, d = 8

Therefore the partial sum of the arithmetic sequence = 663

The common difference, d = 5

The given sequence is:

9, 14, 19

The common difference is the difference between the consecutive terms of the sequence.

The common difference, d = 14 - 9 or d = 19 - 14

Therefore, the common difference, d = 5

The nth term of an Arithmetic sequence is given by the formula:

where the first term, a = 9

The common difference, d = 5

Substitute a = 9, and d = 5 into the nth term formula above

The 9th term in the sequence is calculated by substituting n = 9 into the nth term gotten above

X equal to 5 in this linear equation

An equation is said to be linear if the maximum power of the variable is consistently 1. Another name for it is a one-degree equation. A linear equation with one variable has the conventional form Ax + B = 0. In this case, the variables x and A are variables, while B is a constant. A linear equation with two variables has the conventional form Ax + By = C. Here, the variables x and y, the coefficients A and B, and the constant C are all present.

0 = x - 5

x = 5

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Answer:

6

Step-by-step explanation:

-4 -3 -2 -1 0 1 2

sixteen candy bars cost $128

Divide the cost by 16 to get the price of one candy bar.

Therefore the answer is $8

Answer:

$8 per candy bar

Step-by-step explanation:

128/16 = 8

By writing and solving a system of equations, we will see that the club sold 32 oranges and 68 bars.

Here the solution will be the number of oranges and protein bars sold.

Let's define:

x = number of oranges.

y = number of bars.

We know that they sell 100 items and win a total of $304, then we can write the system of equations:

x + y = 100

x*$1 + y*$4 = $304

Isolating x on the first equation we get:

x = 100 - y

Replacing that in the other equation we get:

(100 - y)*$1 + y*$4 = $304

$100 - y*$1 + y*$4 = $304

y*$3 = $304 - $100 = $204

y = $204/$3 = 68

y = 68

And the value of x is:

x = 100 - y = 100 - 68

x = 32

That is the solution, x = 32 and y = 68.

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Answer:

70 8/9

Step-by-step explanation:

I think that is correct answer. I don't know if it is correct.

U = {1,2,3,4,5,6,7,8}, A={2,4,5}, B = {1,4,7,8}, C = {3,6,8}. (Use the roster method to write the set. enter EMPTY for the empty set)

A U (B U C)​

step 1

Find out B U C

we have

B = {1,4,7,8}, C = {3,6,8}

so

B U C={1,4,7,8} U {3,6,8}={1,3,4,6,7,8}

step 2

Find out A U (B U C)

A U (B U C)={2,4,5} U {1,3,4,6,7,8}={1,2,3,4,5,6,7,8}=set U

therefore

the answer is

The expression for the difference the price of the original recliner and the replacement recliner will be;

⇒ (2x - 4)

What is mathematical expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

Original price of the recliner = (3x + 1) dollars.

Replacement price of the recliner = (5x - 3) dollars.

Now,

The difference of the price of the original recliner and the replacement recliner will be calculated as;

⇒ Replacement recliner - Original recliner

⇒ (5x - 3) - (3x + 1)

⇒ 5x - 3 - 3x - 1

⇒ 2x - 4

Therefore, The expression for the difference the price of the original recliner and the replacement recliner will be;

⇒ (2x - 4)

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The reason for the statements for the algebraic proof is as follows;

The equation given is as follows:

3x / 6 = 4 . This equation is given.

Therefore,

3x / 6 = 4

Using multiplication property of equality, we will multiply both sides of the equation by 6.

3x / 6 × 6 = 4 × 6

3x = 24

The multiplication property of equality states that when we multiply both sides of an equation by the same number, the two sides remain equal.

Hence,

3x = 24

Using division property of equality, we divide both sides by 3.

3x / 3 = 24 / 3

x = 8

The Division Property of equality says that dividing both sides of an equation by the same number does not affect the equation.

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Tori, this is the solution to the exercise:

Step 1: Let's remember that this is a case that we can solve using the following equation form:

y = mx+b, where m is the slope and b is the y-intercept.

Step 2: Solving for b:

y = mx + b

We replace x and y with the coordinates:

1 = 3 * 2 + b

1 = 6 + b

b = 1 - 6

b = - 5

Step 3: Therefore, the equation of the line that passes through the point (2,1) with a slope of 3 is:

y = 3x - 5

The percentage increase in price from April to June to Mrs Ezeaku, based on the cost of the bag is 66.7%

First, find the price of a bag in June. If 3/5 of a bag costs N2,400, then a full bag would be:

= Cost of proportion / Proportion of bag

= 2, 400 / (3 / 5)

= N4, 000

The percentage increase from April to June is:

= ( Price in June - Price in April) / Price in April x 100%

= ( 4, 000 - 2, 400) / 2, 400 x 100%
= 1, 600 / 2, 400 x 100%

= 66.7%

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The function f(x) = 3|x| is translated to create the function g(x) = 3|x| + 4.

the vertex of g(x) is (0,4)

This is further explained below.

Generally,  The equation for the function given is mathematically given as

g(x)=3|x|+4

To find the x coordinate of the vertex, set the inside of the absolute value x equal to 0 .

In this case, x=0. x=0

Replace the variable x with 0 in the expression.

y=3|0|+4

Simplify 3|0|+4

y=4

In conclusion, The absolute value vertex is (0,4).

(0,4)

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The value of median will be same.

Given:

The objective is to determine whether the median of a data set is same or not while ordering from greatest to least or least to greatest.

There are two possible data sets, which is even number of sets or odd number of sets.

If the number of sets (n) is even, consider two terms,

Then, the average of these two numbers will gives the median of the even sets.

If the number of sets (n) is odd, the median can be calculated as,

Hence, the value of median will be same, even if the order of the sets are arranged greatest to least or least to greatest.

The mean length (rounded to 2 DP) of these 15 people's index finger is 12.15 cm.

It is defined as the single number that represents the mean value for the given set of data or the closed value for each entry given in the set of data.

It is given that:

The mean length of 4 children's index fingers is 8.7cm.

The mean length of 11 adults' index fingers is 13.4cm.

The mean of 15 people = [8.7x4 + 13.4x11]/15

The mean of 15 people = [34.8 + 147.4]/15

= 182.2/15

= 12.1466 cm

= 12.15 cm

Thus, the mean length (rounded to 2 DP) of these 15 people's index fingers is 12.15 cm.

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Answer:

In order from left to right: Apple, Mango, Grapes, Kiwi, Banana

Step-by-step explanation:

The one furthest left is the only one that goes above 50, so it has to be apple at 55. The one next to it falls between 20 and 30, so it is going to be Mango at 25. The one next to it lies between 30 and 40, so it will be Grapes at 35. The next one falls exactly at 10, so it is Kiwi. And finally, the only one left is Banana, which is good because the bar sits at 50.

Hope this helps

Answer:

Red: Apple, Green: Mango, Blue: Grapes, Pink: Kiwi, Purple: Banana

Step-by-step explanation:

The y-axis (Number of votes) shows how many families voted for a specific fruit, using the bar graph you can connect the dots and figure out which graph is which :) Ex: Red is apple because the bar stops right between 60 and 50 showing to be halfway between the two which is 55, and apple received 55 votes.

we have that

1) a square

side length=5p

L=5p

W=5p

2)

adding 1 to the length ------> L=5p+1

subtracting 1 from the width ------> W=5p-1

Find out the area

A=L*W

substitute

A=(5p+1)*(5p-1)

A=25p^2-1 ----> by difference of squares

therefore

Given the line:

We simplify to have:

The line y=-3 is a horizontal line passing through y=-3.

Two points on the line that can be graphed are:

You can pick any value of x. The value of y has to remain constant.

Answer:

25th percentile: 5

60th percentile: 12

Explanation:

To find the percentile, we need to organize the data from lowest to greatest, so

1 3 4 4 5 6 6 7 8 8 9 12 14 15 17 17 19 20 20 20

Therefore, there are 20 values in the data set.

The position of the 25th percentile can be calculated as:

Then, the position of the 25th percentile is 5th. In this case, the number in this position is 5 so the 25th percentile is 5

In the same way, we can calculate the position for the 60th percentile as follows:

Then, the position of the 60th percentile is the 12th. In this case, this value is 12, so the 60th percentile is 12.

So, the answers are:

25th percentile: 5

60th percentile: 12

Let:

x = no. of lb of $5 nuts required.

resulting mixture = x + 54

Hence:

Solving for x:

ANSWER

Randall must use 162 lb of $5 nuts

The type of equation is equivalent.

Equation systems that have the same solutions are said to be equivalent. A useful skill in both algebra class and daily life is the ability to recognize and solve comparable equations. View several illustrations of comparable equations, learn how to solve them for one or more variables, and consider how you may apply this knowledge outside of the classroom.

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ANSWER:

187.5 in^2

STEP-BY-STEP EXPLANATION:

We know that the area of a triangle is equal to the base times the height divided by 2

In the figure we have these values

The base is 3 squares that is 15 inches and the height is 5 squares that is 25 inches since each square measures 5 inches

The area is

The area of the triangle is 187.5 square inches

Answer:

7:6

Step-by-step explanation:

add the amount of lemonade and soda together, that is 42.

so you have 42:36.

you need to simplify it, so you divide 42 / 2 = 21

then you divide 36 / 2 = 18.

so now you have 21:18.

then you divide 21 / 3 = 7

then you divide 18 / 3 = 6.

so therefore, your answer is 7:6.

hope this helped:)

A) In 3 weeks, Amy will have $121.

B) An equation that shows the amount of savings Amy will have in x number of weeks is 100 + 7x.

C) Becky is the first person to save $200 in 11.5 weeks.

An equation is a mathematical statement that two or more mathematical expressions share equality in their values.

Equations depict the fact that two or more expressions have the same or equivalent values using the equation symbol (=).

The total amount of savings required for a new phone = $200

Amy's savings in x weeks = 100 + 7x

Becky's savings in x weeks = 85 + 10x

Caroline's savings in x weeks = 94 + 8x

Dan's savings in x weeks = 110 + 7x

Amy's savings in 3 weeks = $121 ($100 + 7(3)

If 100 + 7x = 200

7x = 100

x = 14.3

= 14.3 weeks

If 85 + 10x = 200

10x = 115

x = 11.5

= 11.5 weeks

If 94 + 8x = 200

8x = 106

x = 13.25

= 13.25 weeks

If 110 + 7x = 200

7x = 90

x = 12.86

= 12.86 weeks

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We want to find the distance between the points:

For doing so, we remember the formula of the distance between two points:

Where P(x₁,y₁) and P'(x₂,y₂). Applying the formula we get:

This means that the distance between the points (4, 0) and (0, 3) is 5 units.

Let x represent the amount of milligrams required for a person who weighs 140 lb.

We were told that the dosage of a cold medication is 2 mg for every 80 lb of body weight. The equations would be set up as shown below

2 = 80

x = 140

By crossmultiplying, we have

x * 80 = 2 * 140

80x = 280

We would divide both sides of th equation by 80. We have

80x/80 = 280/80

x = 3.5

Therefore, 3.5 milligrams of this medication are required for a person who weighs 140 lb

Answer

Mean of the score is 82

Explanation

Given the following set of data

68, 98, 86, 75, 86, 94, 75, 81, 75

Mean = summation of all the data / frequency of the data

Frequency = n

n = 9

Mean = 68 + 98 + 86 + 75 + 86 + 94 + 75 + 81 + 75 / 9

Mean = 738 / 9

Mean = 82

Therefore, the mean of the score is 82

Answer:

82

Step-by-step explanation:

68+98+86+75+86+94+75+81+75=738

738/9=82

If the initial fee is $20 and additionally $15 is charged per day, then the total amount is given by:

Where "x" is the number of days and "A" the total amount to pay. Since the total amount is less than $110, then we have the following inequality:

This is the inequality that can be used to determine the value of "x".

The midpoint of two points is given as

(x1 + x2)/2, (y1 + y2)/2

Given that the coordinates of the midpoint are (5, -1), let the coordinates of point B be x2 and y2

(2 + x2)/2 = 5

2 + x2 = 10

x2 = 10 - 2

x2 = 8

(-6 + y2)/2 = -1

-6 + y2 = -2

y2 = -2 + 6

y2 = 4

The coordinates of B are (8,4)