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Area = (x - 5)(x – 7)

Area = x(x - 7) - 5(x - 7)

Area = x^2 -7x -5x + 35

Area = x^2 -12x + 35

algebraic expression that represents its area: x^2 -12x + 35

x^2 - 12x + 35 = 195

x^2 - 12x + 35 - 195 = 0

x^2 - 12x - 160 = 0

x^2 - 8x - 20x - 160 = 0

x (x + 8) - 20 (x + 8) = 0

(x + 8) (x - 20) = 0

(x + 8) = 0

(x - 20) = 0

x = - 8 (not a solution)

x = 20

hence,

length = x - 5

length = 20 - 5

length = 15 m

width = x - 7

width = 20 - 7

width = 13 m

perimeter = 2(13) + 2(15)

perimeter = 26 + 30

perimeter = 56 m²

The perimeter of the terrain is 56 m²

The area of Rectangle is length times of width.

Given,

The sides of a rectangular terrain are given by the expressions (x - 5) and

(x – 7) meters.

Given area of rectangle is  195 m²

Area of rectangle= (x - 5)  (x - 7)

195=x(x-7)-5(x-7)

195=x²-7x-5x+35

195=x²-12x+35

x²-12x+35-195=0

x²-12x-160=0

x²-8x-20x-160 = 0

x (x+8)-20(x+8)=0

(x-20)(x+8)=0

x=20 and x=-8

Length x-5=20-5=15

x-7=20-7=13

So length is 15m and width is 13m

the perimeter of the terrain =2(Length + width)

=2(15+13)

=2(28)

=56 m²

Hence the perimeter of the terrain is 56 m²

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Answer:

Answer: F. 1,275% and 12.75.

Step-by-step explanation:

Ratios

Ratios are usually expressed as decimals, fractions, colon notation, and percentages.

For example, if the ratio of two quantities is 2, it can be expressed as:

2, 2/1, 2:1, 200%

To obtain the percentage expression, just multiply by 100%.

The price of the popcorn sold at a movie theatre was marked up as 12 3/4 times the original cost.

The mixed fraction can be converted to a decimal by just adding their parts as follows:

12 + 3/4 = 12.75

Now to express it as a percentage, multiply by 100%:

12.75 * 100% = 1,275%

Answer: F. 1,275% and 12.75.

Based on the percentage of men workers in the company, the total number of workers is 2,500.

The percentage is the fractional value of a variable concerning another.

Percentages are like ratios and proportions, which show the numerical relationship between the independent and dependent variables.

The percentage of men workers = 95%

The number of non-men workers = 125

The percentage of non-men workers = 5% (1 - 95%)

If 5% of the workers are 125, the total number of workers, 100% = 2,500 (125/5% x 100%).

Check:

Men workers = 95% = 2,375

Non-men workers = 5% = 125

Total = 2,500

Thus, given the percentage of men workers as 95%, the total number of workers in the company is 2,500.

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The total number of workers in the company is 2,500.

percentage, a relative value indicating hundredth parts of any quantity.

Given,

In a​ company, ​95% of the workers are men.

125 people work for the company who​ aren't men.

We need to find number of workers working in the company.

The percentage of men workers = 95%

The number of non-men workers = 125

The percentage of non-men workers = 5% (1 - 95%)

Men workers = 95% = 2,375

Non-men workers = 5% = 125

If 5% of the workers are 125

the total number of workers, 100% = 2,500 (125/5% x 100%).

Total = 2,500

Thus, given the percentage of men workers as 95%, the total number of workers in the company is 2,500.

Hence the total number of workers in the company is 2,500.

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Answer:

5/18

Step-by-step explanation:

(36-12-12-2)/36=5/18

Answer:

-2

Step-by-step explanation:

find rise over run with y1-y2/x1-x2 = -2/1 = -2

The slope m of the line passing through the points A ( 4 , -3 ) and B ( 3 , -1 ) is m = -2

What is an Equation of a line?

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the first point be A ( x₁ , y₁ ) = A ( 4 , -3 )

Let the second point be B ( x₂ , y₂ ) = B ( 3 , -1 )

Now , the equation for the slope of the line is given by ,

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Substituting the values in the equation , we get

Slope m = ( -1 - ( -3 ) ) / ( 3 - 4 )

Slope m = 2 / -1

Slope m = -2

Hence , The slope m of the line passing through the points A ( 4 , -3 ) and B ( 3 , -1 ) is m = -2

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Answer:

A. XM and XN

Step-by-step explanation:

Because they are opposite of each other on the same line.

XM and XN are opposite to one another.

Rays are lines that have only one end point.

Observe the below-given figure to understand the answers.

The redline PQ has two rays XP and XQ which are opposite to one another, they have opposite directions and are parallelly opposite to each other.

Similarly, the black line MN has two rays XM and XN opposite to one another. they have opposite directions and are parallelly opposite to each other.

So, from the given options only one option is true which is
A. XM and XN are opposite one another.

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Answer:

2/5

Step-by-step explanation:

add all marbles together: 10 marbles

since only 4 are red, the fraction would be 4/10

4/10 can be simplified to 2/5

Answer:

1/45

Step-by-step explanation:

2/10 * 1/9 = 1/45

2/10= 2 red marbles and 10 marbles in total.

Answer:

4 strawberries

16 blueberries

Step-by-step explanation:

Given that:

Berries in bowl = strawberries and blueberries

Total number of berries = 20

Ratio of blueberries to strawberries = 4 : 1

Number of each berries in bowl:

Total ratio = (4 +1) = 5

Number of Blueberries :

(Ratio of blueberries / total ratio) * number of berries

(4/5) * 20

= 16 blueberries

Number of strawberries :

(Ratio of strawberries / total ratio) * number of berries

(1/5) * 20

= 4 strawberries

Answer:

m∠2 = 47°

Step-by-step explanation:

m∠1 + m∠2 = 90°

3x + 13 + 5x - 3 = 90

8x + 10 = 90 ⇒ x = 10

m∠2 = 47°

Answer:

Step-by-step explanation:

Given the relationship of the dogs weight ang its age modeled by the equation;

w = 6m+4

m represents its age in months, and;

w represents its weight in pounds

Given

w = 58pounds

Required

number of months m before the dog weigh 58pounds;

Substitute w = 58 into the function and get m as shown;

w = 6m + 4

58 = 6m + 4

subtract 4 from both sides

58-4 = 6m+4-4

54 = 6m

divide both sides by 6

54/6 = 6m/6

9 = m

m = 9

Hence it will take 9months before the dog will weigh 58 pounds

Answer:

3x +12y+4

Step-by-step explanation:

Answer:

10 degrees

Step-by-step explanation:

Answer:

-2

Step-by-step explanation:

Answer:

79.6875 % If you can round, please do.

Step-by-step explanation:

Answer:-3

Step-by-step explanation:

Answer:

10+√3=4x²

Step-by-step explanation:

Answer:

{12}

Step-by-step explanation:

isolate the radical expression

[tex]\sqrt{3x} = x-6[/tex]

raise both sides to the index of the radical in this case 2

[tex](\sqrt{3x} )^{2} = (x-6)^2[/tex]

[tex]3x = (x-6)^2[/tex]

foil the right hand side or multiply (x-6)(x-6)

[tex]3x = x^{2} -6x-6x+36[/tex]

subtract 3x from both sides and combine like terms

[tex]0=x^{2} -15x+36[/tex]

factor

[tex]0=(x-12)(x-3)[/tex]

set each factor equal to zero and solve for x

x - 12 = 0 and x - 3 = 0

     x = 12 and     x  = 3

Check each answer by plugging them individually into the original equation if the come out true they are a solution.

Check :

[tex]\sqrt{3(12)}+10=12+4\\\sqrt{36}+10 = 8\\6+10 = 16\\16=16[/tex]           [tex]\sqrt{3(3)}+10=3+4\\\sqrt{9}+10=7\\3+10=7\\13\neq 7[/tex]

So the only solution is 12.

Answer:

B

Step-by-step explanation:

We can use the following co-function identity:

[tex]\sin(x)=\cos(90-x)[/tex]

Substuting 35 for x yields:

[tex]\sin(35)=\cos(90-35)[/tex]

Subtract:

[tex]\sin(35)=\cos(55)[/tex]

Hence, our answer is B.

Answer:

2:8

Step-by-step explanation:

Answer: 2:8

but yeah its 2:8

Answer:

a=9

b=18

c=18

18+18+9=45 total children

Answer:

1. 0.16545

2. 7.6278

3. 7.694

4. 14.35289

5. 1.23

Step-by-step explanation:

Just divide.

Answer:

2:3

Step-by-step explanation:

we have 4 green stars

and six red stars

as a ratio, it's

4:6

simplified

2:3

Answer:6yb+14x+1 is it Simplify ok

Step-by-step explanation:

Answer: A: 3 square feet per minute

Step-by-step explanation:

The square feet more that Paula can shovel in 1 minute more than Melinda is 3 square feet per minute.

30x + + 30y = 450 equation 1

20x + 25y = 345 equation 2

Where:

x = square feet shovelled by Melinda

y = square feet shovelled by Paula

The first step is to multiply equation 1 by 20 and equation 2 by 30

600x + 600y = 9000 equation 3

600x + 750 y = 10,350 equation 4

Subtract equation 3 from equation 4

150y = 1350

Divide both sides by 150

y = 9 square meters

Substitute for y in equation 1

30x + 30(9) = 450

30x + 270 = 450

30x = 450 - 270

30x = 180

x = 6 square meters

9 - 6 = 3 square meters

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Answer:

1.)  1,380

2.) 138

Step-by-step explanation:

I know i'm 5 days late but why let the question go to waste

If  He earns 10 percent of the total amount he sells, He would Get-

The total amount of Rashad’s sales- 1,380

How much does Rashad earn from his sales- 138

Have a Nice day!

Answer:

1380

138

Step-by-step explanation:

Answer:

The value of w is 3.

Step-by-step explanation:

Parallelograms have equal opposite side measures.

so,

6w = w +15

6w - w = 15

5w = 15

w = 3

Answer:

w=3

Step-by-step explanation:

The opposite arms of parallelogram are equal

So the equation is

6w=w+15

=>6w-w=15

=>5w=15

=>w=15/5

Therefore

w=3

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Answer:

(-523) - 16 is -539

Step-by-step explanation:

mathmathmathmathmsthmatj

Answer: Do you have a picture or a diagram

Step-by-step explanation:

Not the answer but I need help .. it’s the same question but I’ve added the diagram if anyone can help?