You are helping your dad build a rectangular dog park. The length of the dog park feet can be represented by
8x + 2 and the width in feet can be represented by 2x - 12. If your dad bought 160 feet of fencing
(perimeter), what is the length of the dog park?

Answer:

Step-by-step explanation:

[tex] \sqrt{4} = 2 \\ 2 \times 2 = 4[/tex]

Answer:

x>-4.5

Step-by-step explanation:

- 11x + 32.5 < 82

Subtract 32.5 from each side

- 11x + 32.5-32.5 < 82-32.5

- 11x  < 49.5

Divide each side by -11. remembering to flip the inequality since we are dividing by a negative

-11x/-11 > 49.5/-11

x>-4.5

Answer:

addition

Step-by-step explanation:

18 ( d - 9 ) = 198

      3

divide both side by 18

d - 9 = 198  

3          18

d - 9 = 11

3

multiply both sides by 3

d - 27 = 33

add 27 to both sides

d = 33 + 27

lastly, add them together

d = 60

therefore, the last step is addition

Answer:

13,14,15

Step-by-step explanation:

let the first number be n

The next 2 consecutive numbers will be

n+1 and n+2

Sum of these numbers is 42

n+ n+1+n+2=42

Combine like terms

3n+3=42

3n=42-3=39

n=39/3=13

So the numbers are

n=13

n+1=13+1=14

n+2=13+2=15

Answer: 10

Step-by-step explanation:

Cost of any plan = Joining fee + (Per month fee ) × (number of months )

Let x be the number of months for which the cost of each plan is equal.

Cost of plan A =  130 + 12 x

Cost of plan B = 0+ 25x = 25x

According to the question,

[tex]25x = 130+12x\\\\\Rightarrow 25x-12x=130\\\\\Rightarrow\ 13x=130\\\\\Rightarrow\ x=\dfrac{130}{13}\\\\\Rightarrow\ x=10[/tex]

Hence, the number of months for which the cost of each plan is equal is 10.

Answer:

The degree of the given expression is 2

Step-by-step explanation:

the degree of equation is 2

hope it is helpful to you

Answer:

9/10 of a dollar

Step-by-step explanation:

50/100=5/10,

so 5/10+4/10=9/10

Together they will have 9/10 part a dollar.

What is proportion ?

A proportion is an equation based on the equality of two ratios.

Here, Carmen has 4/10 of a dollar and Try says he has 50/100 part of a dollar,  now to calculate the fraction of dollar together they will be having will be the sum of Carmen and Troy part of dollar :

[tex]\begin{aligned}\frac{4}{10}+\frac{50}{100}&=\frac{4}{10}+\frac{5}{10}\\&=\frac{9}{10}\end{aligned}[/tex]

Therefore, together they will have 9/10 part a dollar.

Read more about ratio at:

https://brainly.in/question/1239848

#SPJ2

Answer: Lin must save at least $28 a week

Step-by-step explanation:

I got my answer by subtracting the already earned $212 from the neccessary $800 and that got me $588. Then divided the $588 by the 21 weeks from her goal to get my answer of at leaast $28 a week.

Answer:

x = c/3 - k/3

Step-by-step explanation:

Solve for x:

k + 3 x = c

Subtract k from both sides:

3 x = c - k

Divide both sides by 3:

Answer: x = c/3 - k/3

Answer:greater

Step-by-step explanation: .03 is greater than .02, think about it is 3 less or greater than 2?

Answer:

24

Step-by-step explanation:

4x(9/3)x2

9 divide by 3 is equals to 3, so 4x3=12 and 12x2= 24

Answer:

i think its repeating decimal pro

Step-by-step explanation:

Answer:

3)

Step-by-step explanation:

X is the smaller number and when we add 5 to the smaller number we get the greater number therefore summing up both the smaller and greater number gives a total of 77 as the question gives guidelines

Answer:

c= 40

Step-by-step explanation:

a^2 + b^2 = c^2

24^2 + 32^2 = c^2

576+ 1024 = 1600

you have to square your number once you get the sum.

1600 squared is 40

c=40

I hope this helped

Answer:

The competitor will run 48,225.81 copies.

Step-by-step explanation:

Brand x copier run 59,800 copies between services

Brand X copiers run 24% longer between service calls than its competitor.

Let x = copies run by the competitor between services

Number of copies the competitor will run is

24% of x + x = 59,800

0.24x + x = 59,800

1.24x = 59,800

x= 59,800 / 1.24

x = 48,225.81

Therefore, the competitor will run 48,225.81 copies.

Answer:

[tex]=\left(\frac{21}{2},\:-4\right)[/tex]

Step-by-step explanation:

[tex]\mathrm{Midpoint\:of\:}\left(x_1,\:y_1\right),\:\left(x_2,\:y_2\right):\quad \left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)\\\\\left(x_1,\:y_1\right)=\left(18,\:-17\right),\:\left(x_2,\:y_2\right)=\left(3,\:9\right)\\\\=\left(\frac{3+18}{2},\:\frac{9-17}{2}\right)\\\\Refine\\=\left(\frac{21}{2},\:-4\right)[/tex]

Answer:

390:234

Step-by-step explanation:

10+6=16

624/16=39

39*10=390

39*6=234

390:234

Answer:

(7, 11)

Step-by-step explanation:

If a line segment has endpoints at A([tex]x_1,y_1[/tex]) and B([tex]x_2,y_2[/tex]), the coordinates of the midpoint O(x, y) of the segment AB is given by the formula:

[tex]x=\frac{x_1+x_2}{2}\\\\y=\frac{y_1+y_2}{2}[/tex]

Given the midpoint M(3, 5) of the segment CD with the coordinates of C at (-1, -1). Let the coordinates of D be at ([tex]x_2,y_2[/tex]). Hence:

[tex]x=\frac{x_1+x_2}{2}\\\\ 3=\frac{-1+x_2}{2} \\\\6=-1+x_2\\\\x_2=6+1\\\\x_2=7\\\\y=\frac{y_1+y_2}{2}\\\\ 5=\frac{-1+y_2}{2} \\\\10=-1+y_2\\\\y_2=10+1\\\\y_2=11[/tex]

Hence the coordinates of D is at (7, 11)

Answer:

20y-14y+4=16

20y+(-14y) -4   -4

6y=12

y=2

Step-by-step explanation:

Combine like terms

subtrate 4 from each side

Divide 6 by 6 and 12 by 6

There for y=2

Answer:

Step 1: Write down the percent divided by 100 like this:  [tex]\frac{percent}{100}[/tex]

Step 2: If the percent is not a whole number, then multiply both top and bottom by 10 for every number after the decimal point. (For example, if there is one number after the decimal, then use 10, if there are two then use 100, etc.)

Step 3: Simplify (or reduce) the fraction

Step-by-step explanation:

Example:

Step 1: Write down:

[tex]\frac{11}{100}[/tex]

Step 2: The percent is a whole number, go straight to step 3.

Step 3: The fraction cannot be simplified further.

Answer:

To convert the percent into a fraction, divide it by 100 and remove the % symbol. Then, multiply the fraction to its lowest term.

For example:

[tex] \sf{12 \: \% \: = \frac{12}{100} = \frac{3}{25} } \: [/tex]

[tex] \sf{65\% \: = \frac{65}{100} = \frac{13}{20} }[/tex]

[tex] \underline{ \sf{some \: facts \: about \: percentage}}[/tex]

[tex] \star[/tex] Percentage are fractions whose denominators are 100

[tex] \star[/tex] A fraction can be expressed as a percentage by converting it into an equivalent fraction with 100 as a denominator.

[tex] \star [/tex] We can convert a fraction to a percent by multiplying it by 100 and the % symbol.

[tex] \star[/tex] A fraction with denominator 100 can be written as a percentage by writing the numerator with the % symbol.

[tex] \star[/tex] To convert a percentage to a decimal , divide it with 100 i.e move the decimal the places to the left.

[tex] \star[/tex] To convert a percentage to a fraction , divide it by 100 and reduce it to the lowest term.

Hope I helped!

Best regards! :D

Answer:

y=-3/4x+3

Step-by-step explanation:

3x+4y=12

Subtract 3x from both sides:4y=-3x+12

Divide 4 on both sides... y=-3/4x+3

and we got our answer.

1 656 m³

V = B×h/3

= 92m²×54m/3

= 92m²×18m

Answer:

v = 1656 cubic meters

Step-by-step explanation:

what we have =  base area = 92 square meters

                       = height = 54 meters

the volume formula of a rectangular pyramid = V=lwh  /3

since base area = lw

lw = 92 meters

now we can write - 92* 54 /3

                             = 4968 /3

                             = 1656

So the corect answer is 1656 cubic meters and the student is wrong.

Answer:

| -2 1/5 - 4.35|

Step-by-step explanation:

Take the absolute value of the difference of the two number

| -2 1/5 - 4.35|

Answer:

c>5

Step-by-step explanation:

Max has more than 5 carrots. Therefore, the number of carrots he has (c) is greater than 5.

Answer:

$12.55

Step-by-step explanation:

20-7.45=12.55

Answer:

To make a profit the company must sell 11601 units.

Step-by-step explanation:

Giving the following information:

Fixed costs=$580,000

Unitary variable costs= $50

Unitary selling price= $100

First, we need to calculate the break-even point in units:

Break-even point in units= fixed costs/ contribution margin per unit

Break-even point in units= 580,000 / (100 - 50)

Break-even point in units= 11,600 units

To make a profit the company must sell 11601 units.

In order to determine the total profit, you need to use the following formula:

Total profit= 50*x - 580,000

x= units sold

For example:

x= 15,000

Total profit= 50*15,000 - 580,000

Total profit= $170,000