The area of a rectangular fountain is x2 + 12x + 20 square feet. A 5-foot walkway is built around the
fountain. Find the dimensions of the outside border of the walkway.

Answer:

x < -2 (No, he shouldn't have reversed the inequality symbol).

Step-by-step explanation:

Given the algebraic expression;

19 - 2(1 - x) < 13

Opening up the bracket, we have;

19 + (-2*1) + (-2*-x) < 13

19 + (-2) + (2x) < 13

19 - 2 + 2x < 13

17 + 2x < 13

Rearranging the equation, we have;

2x < 13 - 17

2x < -4

Dividing both sides by 2, we have;

x < -2

Hence, your friend shouldn't have reversed the inequality symbol (sign).

Note: you should only flip the inequality symbol (sign) when you're dividing by a negative number such as -2.

For example, if we had re-arranged the equation as;

17 - 13 < -2x

4 < -2x

Dividing both sides by -2, we have;

4 > x

Answer:

Step-by-step explanation:

I say seven...

-5/2

Step-by-step explanation:

-2-3/1-(-1) = -5/2

Answer:

1/4

Step-by-step explanation:

A pizza was cut into 4/4,

Maddie ate 1/4 of the pizza making it: 3/4

Then Marco ate  2/4 making it 1/4

There's your answer !

Sorry if it's incorrect.

Answer:

The answer is 10/4!

Step-by-step explanation:

I know this because my teacher Ms.Curly always tell me see how many pieces of pizza that were eating and then subtract 24 - 14 = 10 then you have 10/4 that is your answer!!

Answer:

a)45/125

b)25/125

c)80/125

d)45/125

e)10/35

Step-by-step explanation:

hope it is correct

The statements which are correct are B, C and E.

Relative frequency is defined as the ratio of the frequency by the total count of the data values.

We have to find the relative frequency in each option.

A) Frequency of "like snowmobiles" and "like skateboards" = 80

Total count = 160

Relative frequency of "like snowmobiles" and "like skateboards" = 80 / 160 = 0.5 = 50%

B)  Frequency of "like snowmobiles" and "do not like skateboards" = 25

Total count = 160

Relative frequency of "like snowmobiles" and "do not like skateboards" = 25 / 160 = 0.15625 = 15.6%

C) Frequency of "like snowmobiles" and "like skateboards" = 80

Total row frequency = 105

The row conditional relative frequencies of "like snowmobiles" and "like skateboards" = 80 / 105 = 0.7619 = 76.19% ≈ 76.2%

D) Frequency of "do not like snowmobiles" and "like skateboards" = 45

Total row frequency = 55

The row conditional relative frequencies of "do not like snowmobiles" and "like skateboards" = 45 / 55 = 0.81818 = 81.82%

E) Frequency of "do not like snowmobiles" and "do not like skateboards" = 10

Total column frequency = 35

The column conditional relative frequencies of "do not like skateboards" and "do not like snowmobiles" = 10 / 35 = 0.2857 = 28.57% ≈ 28.6%

Hence the correct statements are B, C and E.

Learn more about Relative Frequencies here :

https://brainly.com/question/30466267

#SPJ3

Answer:

y = -1

Step-by-step explanation:

1) first, you would have to substitute x, the input, with 30, y = 14-0.5(30)

2) then, you would multiply 0.5 and 30 together which gets y=14-15

3) lastly, 14-15 equals -1 so y = -1

Answer:

Answer is -1

Step-by-step explanation:

First we know that x = 30, and in 0.5x we can plug in 30 because x = 30. So the equation is 14 - 0.5(30), now multiply 0.5 * 30 which will give you 15. Now the new equation is y = 14 - 15, 14 - 15 will give you -1. And that is y, Y = -1

Answer:

2x+5=4x+1

5=2x+1

4=3x

x=1.3333333 or 1 1/3

Step-by-step explanation:

Answer:

9x+4

Step-by-step explanation:

remove the parentheses

there are 2000 whole number

Answer:

Mila had $48 initially

Step-by-step explanation:

Let the amount of money they had be x

Mila spent $42; what is left would be x-42

Samuel spent $36: what is left would be x-36

So, what Mila had left is half of what Samuel has; that would be;

x-42 = 1/2(x-36)

2(x-42) = x -36

2x-84 = x -36

2x - x = 84 -36

x = $48

Answer:

10x^2+14x-48

Step-by-step explanation:

5x*2x=10x^2

5x*6=30x

-8*2x=-16x

-8*6=48

combine them and you'll get 10x^2+14x-48

Answer:

24x-48

HOPE THIS HELPS

-Todo <3

Step-by-step explanation:

5x*2x=10x

5x*6=30x

-8*2x=-16x

-8*6=-48

40x-16x=24x

24x-48

Answer:

25

Step-by-step explanation:

To be honest i´m not quite sure since I got 22 but 25 is the closest to my answer

Answer: 83

Step-by-step explanation: 17% of 500 is 85. If 17% is empty, that means that you'd take away that 15%. 500 - 85 = 415. If each page holds 5 cards, we need to split those cards up between the pages. 415/5 = 83, so 83 pages will be used.

Answer:

J' = (-15, -10)

K' = (5, 20)

L' = (20, 10)

Step-by-step explanation:

Given the coordinates J(–3, –2), K(1, 4), and L(4, 2)

D5(ΔJKL) means we need to dilate the coordinates by a constant of 5

To do that, we will multiply the coordinates by a value of 5

D5(ΔJKL)

J' =  (5(–3), 5(–2)),

J' = (-15, -10)

K' = (5(1), 5(4))

K' = (5, 20)

L' = (5(4), 5(2))

L' = (20, 10)

Answer:

180

Step-by-step explanation:

The answer is 180 because:

[tex]5*180=900[/tex]

Answer:

11

Step-by-step explanation:

Answer:

3.88

Step-by-step explanation:

Given that

42x = 163

It set 2x = 3

and x = 32

We need to tell the mistake and mentioned the correct answer

if we solve the above equation i.e.

42x = 163

x = 3.88

Hence, in this way it should be calculated

The same would be considered and relevant

Hence, the correct answer is 3.88

Answer:

The right option should be c

Step-by-step explanation:

The measure of (OH-)

Answer:

75%

Step-by-step explanation:

72 is 75% of 96

Answer:

1140 households

Step-by-step explanation:

The results of a computer survey of 80 households in Westville are shown in the table.

So from the table we can see that 6 households have 3 numbers of computers.

So the probability is [tex]$\frac{6}{80}$[/tex]

Therefore, the probability of number of houses from a total of 15,200 houses to have exactly three computers is = [tex]$\frac{6}{80} \times 15200$[/tex]

                                                          = 1140 houses

Answer:

Step-by-step explanation:

The amount of water that was in the cooler initially is dependent on the amount of water in the cooler now(that is, what is remaining). And also, the rate of which water was being used. If the rate at which water was being used was 10 liter/hour, this means that an 11 liter cooler would remain 1 liter after an hour. Because 10 liters must have been used within the said hour.

Answer:

10 liters

Step-by-step explanation:

Answer:

28%

Step-by-step explanation:

12+34+7=2856

Then, 2856/100 to get the percentage.

Answer:

d

Step-by-step explanation:

convert 6/10 to the same denominator as the other fraction (100) by multiplying the entire fraction by 10 resulting in 60/100 then add 16/100

Answer:

D) 76/100

Step-by-step explanation:

16/100 + 6/10 = ?

16/100 + 60/100 = ?

16/100 + 60/100 = 76/100

Answer:

23 feet > m ; or m must be less than 23 feet.

Step-by-step explanation:

Let's call this final, or third side, m.

According to the Triangle Inequality Theorem, or the Gator Theorem - as some call it - "The sum of the lengths of any two sides of a triangle is greater than the length of the third side."

So,

[tex]2+5>m\\7>m[/tex]

So, we know that m must be less than 7 meters! However, we are NOT done. We must convert M's measurement of meters into feet.

A meter is about 3.28 feet, so using that conversion...

[tex]3.28 * 7 = 22.96\\[/tex]

That is about 23 feet :)

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Have a nice day fam! Spread The Love.

Answer:

x = 6

y = 6[tex]\sqrt{2}[/tex]

z = 12

Step-by-step explanation:

the ratio of sides in a 30-60-90° triangle is, respectively, 1 : [tex]\sqrt{3}[/tex] : 2

therefore, 'x' must have a measure of 6

which means the hypotenuse must have a measure of 12

other triangle is a 45-45-90° triangle whose sides are in a ratio of 1 to [tex]\sqrt{2}[/tex]

this means that 'y' must be 12/[tex]\sqrt{2}[/tex] which is 6[tex]\sqrt{2}[/tex]

'z' must be 6[tex]\sqrt{2}[/tex] · [tex]\sqrt{2}[/tex] = 12

Answer: (-5,4)

Step-by-step explanation:

Hello, I Am BrotherEye

Answer:

I Will Help You!!

But I require More imformation Step-by-step explanation:

Answer:

7x + 27 = -17

Step-by-step explanation:

2x + 5x = 7x

3y + (-y) = 2y

-5 + (-12) = -17

Combine them to make the added equation.

7x + 2y = -17.