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Answer:

8 feet from the wall.

The inequality is given by 20x + 25y ≤ 1100 and x + y > 50

An inequality is an expression that shows the non equal comparison of two or more numbers and variables.

Let y represent the number of soccer balls and x represent the number of volleyballs.

The coach can spend a maximum of $1,100, hence:

20x + 25y ≤ 1100

Also, The coach plans to order at least 50, hence:

x + y > 50

The inequality is given by 20x + 25y ≤ 1100 and x + y > 50

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The accurate statements are:

A) About 25% of adults have cholesterol levels of at most 212.

D) One half of the cholesterol levels are between 180 and 211.

Q₃ (the third quartile) is 211, which is less than 212,

About 25% of adults have cholesterol levels of at most 212 is accurate.

Q₁ (the first quartile) is 100, which is greater than 180, About 75% of adults have cholesterol levels less than 180 is not accurate. We cannot determine that about 75% of adults have cholesterol levels less than 180 based on the given information.

The median divides the data into two equal halves, and it falls between Q₁ and Q₃.

So, one half of the cholesterol levels are between Q₁ and the median, but not specifically between 180 and 197.5.

One half of the cholesterol levels are between 180 and 211, as Q₁ is the lower boundary and Q₃ is the upper boundary of the interquartile range.

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Answer:

Median for a: 50 because it is in the middle of the points

Median for b: 35 because it is in the middle of the points.

Step-by-step explanation:

What i do is i write all the numbers out as shown in graph and cross one out on both sides untill there is one left.

IQR A: 15

IQR B: 15

Find the 25 percentile the. the 75 pecentile then subtract the numbers off from eachother.

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Answer:

where's the 10 and 3,4 ? uh there's no number

Answer:

[tex] \frac{1}{2} \times 12 \times 6 = 36mm[/tex]

Using proportions, it is found that she should expect 4 of the next 12 appliances to be ovens.

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

In this problem, we have that out of 15 items, 5 are ovens. How many will be out of 12? To find out, we start with the rule of three.

15 items - 5 ovens

12 items - x ovens

Applying cross multiplication:

15x = 60

x = 4.

Hence, 4 of the next 12 appliances to be ovens.

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Answer:

See below.

Step-by-step explanation:

i) A + B + C

= 4x² + y² - 6xy + 3y² + 12x² + 8xy + 6x² + 8y² + 6xy

= 24x² + 12y² + 8xy

ii) 2A + B - C

= 2(4x² + y² - 6xy) + 3y² + 12x² + 8xy - 6x² - 8y² - 6xy

= 8x² + 2y² - 12xy + 3y² + 12x² + 8xy - 6x² - 8y² - 6xy

= 14x² - 3y² - 10xy

Answer:

[tex]m=-1[/tex]

Step-by-step explanation:

Given the following question:

Point A = (-8, 5) = (x1, y1)
Point B = (3, -6) = (x2, y2)

To find the answer we have to use the formula to calculate slope or rise over run.

[tex]m=\frac{y2-y1}{x2-x1}[/tex]
[tex]m=\frac{-6-5}{3--8} =\frac{-11}{11}[/tex]
[tex]-11\div11=-1[/tex]
[tex]m=-1[/tex]

The slope of the line that passes through the points (-8, 5) and (3, -6) is "m = -1."

Hope this helps.

Answer:

8. 820 km

Step-by-step explanation:

8.

15 I per 100 km

x liter per 820 km on cross multiplication

(820 * 15) / 100 = x

12300/100 = x

123 liter =x in total 123 liter of gas will be required to travel 820 km.

Answer:

8.820

Step-by-step explanation:

hope it helps you bro

Answer:

113.04in^2

Step-by-step explanation:

pi*6^2

36pi

substitute 3.14 for pi

36*3.14=113.04

Solution:

Note that:

Substituting the radius in the formula.

Finding the area:

Answer:

9 essay questions.

Step-by-step explanation:

We have been given that ada’s history teacher writes a test for the class with 26 questions. We can represent this information in an equation as:

x+y=26

We are also told that multiple choice worth 3 points each, so total number of points for x questions will be 3x.

As essays worth 8 points each, so total number of points for y questions will be 8y.

Since the test is worth 123 points, so we can represent this information in an equation as:

3x + 8y= 123

Now we will use substitution method to solve system of linear equations.

From equation (1) we will get,

x=26-y

Substituting this value in equation (2) we will get,

3×(26-y)+8y=123

78-3y+8y=123

78+5y=123

Let us subtract 78 from both sides of our equation.

78-78+5y=123-78

5y=45

Let us divide both sides of our equation by 5.

5y/5=45/5

y=9

Answer:

13

Step-by-step explanation:

12*2 is 24, and we need it to be more so 25, and 25-12 is 13

Answer:

61°

Step-by-step explanation:

The right angle is formed by 29° and an unknown angle. However, we know the unknown angle's value as 61° because 90 - 29 = 61.

The Angle with 61° is congruent to Angle D because they're vertical angles, making d 61°.

Answer:

Step-by-step explanation:

When you speak of common factors, you mean that every term must contain the common factor.

In addition terms are determined by isolated minus or plus signs.

The answer is D

3 goes into 15. six does not.

Using simple interest, it is found that:

Simple interest is used when there is a single compounding per time period.

The amount of interest after t years in is modeled by:

[tex]I = Prt[/tex]

In which:

In this problem, the amount paid was of 36 monthly payments of

$196.80, hence:

36 x 196.80 = $7084.8.

The total amount paid was of $7,084.8.

The original price is of $6,500, hence the finance charge was of:

7084.8 - 6500 = $584.8.

For interest, we have that:

[tex]I = 584.8, P = 6500, t = 3[/tex], hence:

[tex]I = Prt[/tex]

[tex]584.8 = 6500(3)r[/tex]

[tex]r = \frac{584.8}{6500 \times 3}[/tex]

[tex]r = 0.03[/tex]

The simple interest rate was of 3%.

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Answer:

The round birthday cake has 4241 calories.  Do not touch.  Mine.

Step-by-step explanation:

See attached image.  A calorie density is calculated for the sheet cake (calories/in^3) and used to find the calories in the birthday cake.

Answer:

120,000,000,000,000

Step-by-step explanation:

(2×10^6)= 2,000,000

(6×10^7)=60,000,000

2,000,000×60,000,000=120,000,000,000,000

Answer:

44

Step-by-step explanation:

substitute x = 4 and y = 12 into the expression

5x² - 3y

= 5(4)² - 3(12)

= 5(16) - 36

= 80 - 36

= 44

Answer:

SO 28 new t shirts.

Each drawer can hole 6 tshirts.

How many drawers needed.

Now this is a division problem, how many “6 tshirts” can fit into 28 t shirts.

Something like that.

Anyways its 28/6 or 28 ÷ 6 = 4 remainder 4

4 r 4

Now we need all t shirts put away not 24 and have 4 left over. So we can just get another drawer and add it to the whole number.

So 5 drawers

Answer:

Step-by-step explanation:

When we spin the spinner, there are four equally likely outcomes: "A," "B," "C," and "D." An experiment consists of rolling the die and then spinning the spinner. The face of the spinner has four congruent regions, labeled "A," "B," "C," and "D," respectively.

Answer:

It depends what type of spinner it is, but the basics of the spinner is 1/(whatever the number of spaces in it are)

For the die, it's 1/6

Answer:

Acute

Step-by-step explanation:

Answer:

If you are finding out the lower angles they are acute but the top is right

Step-by-step explanation:

The area of a sector with a central angle of 2π/9 radians and a diameter of 20.6 mm is 37.01 mm²

It is given that

Central angle α= 2π/9

Diameter d= 20.6mm

So, radius r= 10.3mm

The area of a sector with central angle α and radius r is 0.5*r²*α

So, area of given sector = 0.5*10.3² * 2π/9

Area of given sector = 37.01 mm²

Therefore, the area of a sector with a central angle of 2π/9 radians and a diameter of 20.6 mm is 37.01 mm².

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Answer:

the answer is 37.01 took the test

Step-by-step explanation:

Answer: 324 degrees

Step-by-step explanation:

Answer:

B) y=-3x+18

‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎

The value of c is equal to [tex]7\sqrt{2}[/tex]

Data:

To solve this problem, we need to use trigonometric ratio SOHCAHTOA.

Since we have opposite and hypothenuse value, we can use sine angle for this.

[tex]sin \theta = \frac{opposite}{hypothenuse}[/tex]

Let's substitute the values into the formula

[tex]sin45 = \frac{7}{c}\\ c = \frac{7}{sin 45} \\c = 7\sqrt{2}[/tex]

The value of c is equal to [tex]7\sqrt{2}[/tex]

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Answer:

x=29 i know because i put that and it was a 100