The area of the surface of a pool table is 24 square feet. The perimeter is 22 feet. What are the dimensions of the pool table?

Answer:

Choices 2 and 3 (READ ALL EXPLANATIONS)

Step-by-step explanation:

To find out the rate of changes for Bush A, you have to choose coordinate points from the graph that hit the line. Then after doing so, you have (1,12) (3,16) and (5,20). You then have to subtract both the x and y values from each other to get your rate of change. Resulting in 4/2, which when simplified is 2. From there you can start building your slope-intercept form equation. Now that you have your rate of change, you then have to find out the initial height of the bush before it started growing. Mathematically worded as the y-intercept. To find the y-intercept from a graph you look at the y axis and see which number hit the line from there. An approximate estimate would be 10. Your finished equation for Bush A should look like y=2x+10. The next equation you want to form is your Bush B one. However, the information you need is already provided to create your equation, y=2.5x+7.5. Now that you have both your equations for both bushes you can look at the statements below to see which answers are corrects based on your data. The first statement is incorrect because Bush A's rate of change is 2 and Bush B's is 2.5. Therefore Bush B's rate of change is bigger not vise versa. The second statement is correct because Bush B's initial value or y-intercept is 7.5 and Bush A's is 10. Therefore, Bush B's initial value is less than that of Bush A's. The third statement is also correct because after substituting the 7 from the 7 years into both equations because the x is the number of years the plant has grown from the original height, Bush A's result was 24 and Bush B's result was 25. Therefore Bush B would be 1 inch taller in that time frame.

Answer:

(x-3)^2+y^2=8

Step-by-step explanation:

I'm going to go ahead and assume the center is (3,0). The radius can be found by computing the distance from the center, (3,0), to a point on the circle, (5,-2).

The distance between two points is calculated by doing sqrt((distance between x's)^2+(distance between y's)^2).

The distance between our x's is 2.

The distance between our y's is 2.

The square of each then is 4 and 4 respectively.

So we have the distance is sqrt(4+4)=sqrt(8).

The radius is sqrt(8).

The equation of a circle is (x-h)^2+(y-k)^2=r^2 where (h,k) is center and r is radius.

If r=sqrt(8), then r^2=8.

(h,k)=(3,0)

(x-h)^2+(y-k)^2=r^2

(x-3)^2+(y-0)^2=8

(x-3)^2+y^2=8

For red we could use the variable r and G for green, and c for clear.

Red is G+5

G is R-5

C is Rx3

This is like a guessing Game, you guess and check.

R=36

G=31

C=108

36+31+108=175

Mark Me Brainliest pls  I lost 4 brain cells doing this TwT

Answer:

19:1

Step-by-step explanation:

There are 10000 headlights. If 5% are defective, then 500 are defective. Since we took that 500 out, we get 9500 good headlights. The ratio is 9500:500 or 19:1

The ratio of defective headlights to non-defective headlights will be 19:1.

The Percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.

In mathematics, ratios are used to determine the relationship between two numbers it indicates how many times is one number to another number.

There are 10000 headlights. If 5% are defective, then 500 are defective. Since we took that 500 out, we get 9500 good headlights.

The ratio will be calculated as below:-

Ratio = 9500:500

Ratio = 19:1

Therefore, the ratio of defective headlights to non-defective headlights will be 19:1.

To know more about percentages follow

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Answer:

Step-by-step explanation:

a = 6

c = 6

b = 13

ac = 6 * 6 = 36

4 and 9 multiply to 36 and 4 and 9 add to 13

Answer:

12/59

Step-by-step explanation:

-1/2x3/5÷(-59/40)

-3/10÷(-59/40)

-3/10*-(40/59)

120/590

12/59

8.64E9 = 8,640,000,000

8.64E14 = 864,000,000,000,000

8.64E11 = 864,000,000,000

8.64E13 = 86,400,000,000,000

Answer:

A

Step-by-step explanation:

You find the mean by adding all the values then dividing that sum by the amount of values

You find the median by putting the numbers in order from least to greatest and then find the middle number.

Answer:

DC =7

Step-by-step explanation:

if ΔABC ≅ΔDBC then the corresponding sides are

AB = DB = 10

AC = DC = 7

See attachment

Answer:

B.

Step-by-step explanation:

Other equations don't have any value of x.

Answer:

Because if you see.. The component of x will get canceled in each of the other 3 options.. ( 2x - 2x) which means no solution.. In option B.. 2x + 2x will give 4x..= 31-31 = 0..

-------------------------

Hope it helps...

Have a great day!!

Answer:

You Have to Find Answer Yourself

Step-by-step explanation:

By This - B+D+C = 130°-20°+E

Answer:

110 degrees

Step-by-step explanation:

when continuing line DC down to line AE, it creates a triangle with the intersection point at AE, C and E.

the angles in that triangle are

E (20 degrees)

the internal angle at C = 180 - 130 = 50 degrees

and the angle at the interception point at AE.

since CD is parallel to AB, that angle is equal to x.

the sum of all angles in a triangle is airways 180 degrees.

therefore this angle is

180 - 20 - 50 = 110 degrees = x

Answer:

Principal, P = Rs. 2000

Step-by-step explanation:

Given the following data;

To find how much balance (principal) is to be saved, we would use the formula;

[tex] S.I = \frac {PRT}{100} [/tex]

Where;

Making "P" the subject of formula, we have;

[tex] P = \frac {100S.I}{RT} [/tex]

Substituting the values into the formula, we have;

[tex] P = \frac {100 * 120}{2 * 3} [/tex]

[tex] P = \frac {12000}{6} [/tex]

Principal, P = Rs. 2000

Therefore, you'll have to save up to Rs. 2000.

Answer:

Step-by-step explanation:

[tex](x - 1) \: and \: (x - 5)[/tex]

I hope that is useful for you :)

The factors of the quadratic function whose graph is given are (-x -1) and ( x-5).

Factor of a quadratic equation is any monomial or binomial which divides the quadratic equation without leaving any remainder.

Factoring a quadratic equation can be defined as the process of breaking the equation into the product of its factors.

The solutions of a quadratic equation represent the values of x that make the equation true. And the solutions to any equation are the x-intercepts of that equation.

According to the given question

We have a graph of a quadratic equation and x intercepts -1 and -5.

⇒ we have two points (-1,0) and (-5,0)

⇒ -1 and -5 will be the solution of the quadratic function.

⇒ x = -1  and x = -5

⇒ x+ 1= 0 and x + 5 = 0

or -x -1 = 0 and x+5 = 0

Therefore, the factors of the quadratic function whose graph is given are (-x -1) and ( x-5).

Learn more about the factors of a quadratic function here:

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Answer:

x=6

pqs=82

sqr=59

Step-by-step explanation:

13x + 4 + 10x - 1 = 141

23x + 3= 141

23x = 136

x = 136/23 = 6

~~~~~~~~~~~~~~~

pqs = 13x + 4  = 13(6) + 4 = 78+4 = 82

sqr =  10x - 1 = 10(6)-1 = 60 - 1 = 59

Answer:

x = 6

Angle PQS is 82

Angle SQR is 59

Step-by-step explanation:

13x + 4 + 10x - 1 = 141

Group like terms : 23x + 3 = 141

Subtract 3 from both sides to get 23x = 138

Divide both sides by 23 to get x = 6

Angle PQS: Plug 6 into x  for 13x + 4 = 13 (6) + 4 = 82

Angle SQR: Plug 6 into x for 10x - 1 = 10 (6) -1 = 59

Answer:

Weight gain = 84 lb 5 oz

Average weight gain = 6 lb 5 oz

Step-by-step explanation:

lb means pounds

16 oz = 1 pound

Convert the weight to pounds

Weight when she was born = 8 lb. 13 oz

= 8 pounds + 0.8125 pounds

= 8.8125 pounds

Present weight = 93 lb. 5

oz

= 93 pounds + 0.3125 pounds

= 93.3125 pounds

How much has she gained since birth

Weight gain = Present weight - Weight when she was born

= 93.3125 pounds - 8.8125 pounds

= 84.5 pounds

= 84 lb 5 oz

Weight gain = 84 lb 5 oz

what has been her average weight for each year if she is 13 year old

Average weight gain = Weight gain / 13

= 84.5 pounds / 13

= 6.5 pounds

= 6 lb 5 oz

Average weight gain = 6 lb 5 oz

Answer:

[tex]\sqrt{x+10}x+5\sqrt{x+10}[/tex]

Step-by-step explanation:

First, set up an equation:

[tex](\sqrt{x+10} )(x+5)[/tex]

Multiply [tex]\sqrt{x+10}[/tex] first by x, then 5.

[tex]\sqrt{x+10}x+5\sqrt{x+10}[/tex]

That's all

I hope this helps

9514 1404 393

Answer:

  (a)  y = -3/4x +36

Step-by-step explanation:

The slope of the rail is ...

  m = rise/run = -9/12 = -3/4

The initial height of the rail is 36, so the slope-intercept equation for the rail is ...

  y = mx +b . . . . . m = slope; b = initial value

  y = -3/4x + 36

Answer:

(A) [tex]y=-\frac{3}{4}x+36[/tex]

Step-by-step explanation:

Here's what we know about the question:

- stairs start at a height of 36 inches

- stairs decreases 9 inches vertically for every 12 horizontal inches

Because the stairs decrease, the function will NOT be a positive function. Instead, it will be a negative function, so either (A) or (B).

The y-intercept, which is 36, is the same for both answer choices, so we need to find the correct slope to find the correct answer choice.

Slope is a fraction that is sometimes called rise over run (rise/run) to help write the correct slope. The rise is the vertical change and the run is the horizontal change.

In this question, our vertical change is -9 inches (it's negative because it decreases) and our horizontal change is 12 inches. Using the rise/run formula, we get a slope of -9/12. Simplified, it's -3/4.

So our answer is y = -3/4x + 36

Hope that helps (●'◡'●)

Answer:

katie has 6 stickers left

Answer:

Hello,

3.85

Step-by-step explanation:

[tex]Number\ of\ customers=3+0+5+3+7+2=20\\\\mean=\dfrac{1*3+2*0+3*5+4*3+5*7+6*2}{20} =\dfrac{77}{20} =3.75[/tex]

Answer:

C, D, E

Step-by-step explanation:

You just need to multiply the numbers together.  Whichever choice is equal to 24, is your answer

So when you multiply for each one...

A is 36

B is 48

C is 24

D is 24

E is 24

So since C, D, E multiply to 24, they are the correct answers.

Answer:

Một trục số đi từ âm 6 đến dương 6. Các điểm ở âm 6, âm 2, 5.

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

Answer:

the formula for the area of a trapezoid is area =(top + bottom)/2 x height

using the given information we can solve

for x:

234 = (20+32)/2 X

234 = 52/2 X

234 = 26 X

X=234/26

X= 9 units

Answer:

No solutions

Step-by-step explanation:

Convert both equations into y = mx + b form, where m is the slope and b is the y intercept.

8x + 4y = 12

4y = -8x + 12

y = -2x + 3

Rearrange the other equation:

3y = -6x - 15

y = -2x - 5

So, both equations have a slope of -2. But, one has a y intercept of 3 and the other has a y intercept of -5.

Because the lines have the same slope but different y intercepts, the lines are parallel.

Parallel lines have no solutions, because they will never intersect.

So, the system has no solutions.

Answer:

D

Step-by-step explanation:

These diagrams can drive you crazy. The only way you can do this question is to ASSUME that the angle that looks like it is 90 really is 90. That is a very dangerous assumption.

Solution for y

cos(y) = adjacent / hypotenuse

adjacent = 12

hypotenuse = 13

Cos(y) = 12 / 13

Cos(y) = 0.92308

y = cos-1 (0.92308)

y = 22.6

Solution for x

x does not need trig to solve.

x = 180 - 90  - 22.6

x = 67. 4

So that's D

Step-by-step explanation:

Technically this expression is 15 as is.

You could add the parenthesis around the 3x4 or the 5-2.

So your answer is either:

(3x4) + 5 - 2

or 3x4 + (5-2)

OR (3x4) + (5-2)

But in my opinion, you do not want to have too many sets of parenthesis, it crowds your equation too much.

Answer:

(3 × 4) + 5 - 2

Step-by-step explanation:

To do this problem, first you need to check to see what the original answer is.

3 × 4 + 5 - 2

12 + 5 - 2

16 - 2

14

-------------------

(3 × 4) + 5 - 2

12 + 5 - 2

17 - 2

15

The answer is:

(3 × 4) + 5 - 2

Hope this helped.