Paolo is putting a fence around his pool. The length of the pool is 20 feet, the width is (20 minus x) feet, and the area of the pool is 300 square feet. Recall that area is length multiplied by width. The equation below models the area of the pool.

20 (20 minus x) = 300

What is the value of x? Round to the units place.

Answer:

The coordinates of the image of point A are (-1, -6)

Step-by-step explanation:

Let us revise the rule of translation to the left, down, and reflection across the x-axis

∵ The coordinates of point A are (3, 4)

∵ It is translated 4 units left

∴ h = 4

→ By using the 1st rule above

∴ Its image is (3 - 4, 4)

∴ Its image is (-1, 4)

∵ Its is reflected across the x-axis

→ By using the 3rd rule above change the sign of its y-coordinate

∴ The new image is (-1, -4)

∵ It is translated 2 units down

∴ k = 2

→ By using the 2nd rule above

∴ The final image is (-1, -4 - 2)

∴ The final image is (-1, -6)

∴ The coordinates of the image of point A are (-1, -6).

Answer:

-12 + 9p

Step-by-step explanation:

Original Equation:

-12 - 5p + 2(6p + p)

Distributive property.

2 x 6p = 12p

2 x p = 2p

Equation:

-12 - 5p + 12p + 2p

Subtract 5p from 12p

-12 + 7p + 2p

Add.

-12 + 9p

Hope this helped :)

Please consider Brainliest :)

Answer:

r = 18

Step-by-step explanation:

6 + 1.30r = 29.40 [write out the equation]

-6 -6 [subtraction property of equality]

1.30r = 23.40

___ ____ [division property of equality]

1.30 1.30

r = 18

I hope it helps :)

Answer:

6 + 1.30r = 29.40

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

Answer:

The equation of the parallel line is x + 3y = 17

Step-by-step explanation:

Parallel lines have the same slopes and different y-intercept

The form of the equation y = m x + b, where

∵ The equation of the given line is x + 3y = 4

→ We must put it in the form above to find its slope

→ Subtract x from both sides to move x to the right side

∵ x - x + 3y = 4 - x

∴ 3y = 4 - x

→ Divide both sides by 3 to make the coefficient of y = 1

∴ [tex]\frac{3y}{3}=\frac{4}{3}-\frac{1}{3}x[/tex]

∴ y = [tex]\frac{4}{3}[/tex] -  [tex]\frac{1}{3}[/tex] x

→ Compare it with the form of the equation above

∴ m = [tex]-\frac{1}{3}[/tex]

∵ Parallel lines have the same slopes

∴ The slope of the parallel line is [tex]-\frac{1}{3}[/tex]

→ Put it in the form of the equation

∴ y =  [tex]-\frac{1}{3}[/tex] x + b

→ To find b substitute x and y in the equation by the coordinates

   of a point on the line

∵ The line passes through the point (2, 5)

∴ x = 2 and y = 5

→ Substitute them in the equation

∴ 5 =  [tex]-\frac{1}{3}[/tex] (2) + b

∴ 5 =  [tex]-\frac{2}{3}[/tex] + b

→ Add  [tex]\frac{2}{3}[/tex]  to both sides

∴ [tex]\frac{17}{3}[/tex] = b

→ Substitute it in the form of the equation above

∴ y = [tex]-\frac{1}{3}[/tex] x + [tex]\frac{17}{3}[/tex]

→ Multiply each term by 3

∴ 3y = - x + 17

→ Add x to both sides

∴ x + 3y = 17

∴ The equation of the parallel line is x + 3y = 17

Answer:

[tex]\displaystyle y-5=-\frac{1}{3}(x-2)[/tex]

Step-by-step explanation:

Equation of a Line

Two lines are parallel if they have the same slope. We are given the equation of the line:

x+3y=4

To find the slope of this line, we must solve for y:

[tex]\displaystyle y=-\frac{1}{3}x+\frac{4}{3}[/tex]

The slope of this line is:

[tex]\displaystyle -\frac{1}{3}[/tex]

The equation of the new line has the same slope. To find its equation, we use the point-slope form of the line:

y-k=m(x-h)

Where (h,k)=(2,5). Thus:

[tex]\boxed{\displaystyle y-5=-\frac{1}{3}(x-2)}[/tex]

Answer: 65.88 km/h

Step-by-step explanation:

When multiplying conversion factors, make sure the only remaining units are the desired units.

Answer:

Because the side lengths of the triangles are  proportional.

Step-by-step explanation:

I took geometry.

Answer:

D

Step-by-step explanation:

D doesnot satisfy when numbers are substituted

I'm sorry the photo is on a side. I'm too lazy to text it on here lol

Answer:

C

Step-by-step explanation:

Answer:

Answer 1:

5/8 = 2.5/4 so its 2.5 months

Answer 2: The decimal repeats as when you divide by 2 you get 4.5/8, which is 0.5625.

Step-by-step explanation:

1/4=2/8, so continue that on until you get the answer.

5/8÷1/4

5.8·4/1=

20/8=2.5

9/16=

9÷16=

0.5625

Since we know the Circumference of the circle (28.26) we can use the formula to find the Diameter of the circle

The Diameter of the circle is 9

Answer:

.5

Step-by-step explanation:

was I right? if I was not sorry

Answer:

A. ((a^2)b)((b^2)a)

Step-by-step explanation:

A. ((a^2)b) ((b^2)a)

Open parenthesis

(a^2b)(b^2a)

a^3b^3

B. (a^4)b^4−ab

a^4b^4 - ab

C. ((a^2b^2))/2ab

(a^2b^2) / 2ab

D. (ab)(ba) (ab)

(a^2b^2)(ba)

Therefore,

a^3b^3 = ((a^2)b) ((b^2)a)

Answer:

96,000 people

Step-by-step explanation:

convert the length from miles to feet.

2.5 miles = 13,200 feet

Area = 13,200× 8

Area = 105,600 square feet

but the fans will be on both sides of the sidewalk,hence,

the area will be twice.

105,600 square feet ×2= 211,200 square feet.

1 fan = 2.2 square feet

x = 211,200 square feet

therefore number of fans will be = 96,000 people.

Answer:

Step-by-step explanation:

Use the quadratic formula

=

−

±

2

−

4

√

2

x

=

−

b

±

b

2

−

4

a

c

2

a

x=2a−b±b2−4ac​​

Once in standard form, identify a, b, and c from the original equation and plug them into the quadratic formula.

2

2

+

−

6

=

0

2

x

2

+

x

−

6

=

0

2x2+x−6=0

=

2

a

=

2

a=2

=

1

b

=

1

b=1

=

−

6

c

=

−

6

c=−6

=

−

1

±

1

2

−

4

⋅

2

(

−

6

)

√

2

⋅

2

x

=

−

1

±

1

2

−

4

⋅

2

(

−

6

)

2

⋅

2

x=2⋅2−1±12−4⋅2(−6)​​

Answer:

x = - 2, x = [tex]\frac{3}{2}[/tex]

Step-by-step explanation:

Given

2x² + x - 6 = 0

Consider the factors of the product of the x² term and the constant term which sum to give the coefficient of the x- term.

product = 2 × - 6 = - 12 and sum = + 1

The factors are + 4 and - 3

Use these factors to split the x- term

2x² + 4x - 3x - 6 = 0 ( factor the firs/second and third/fourth terms )

2x(x + 2) - 3(x + 2) = 0 ← factor out (x + 2) from each term

(x + 2)(2x - 3) = 0

Equate each factor to zero and solve for x

x + 2 = 0 ⇒ x = - 2

2x - 3 = 0 ⇒ 2x = 3 ⇒ x = [tex]\frac{3}{2}[/tex]

Answer:

$3,200

Step-by-step explanation:

384/12= 32

32*100= 3200

Answer:

He earns $46.08 because that would be 12% of $384:)

Complete question is;

The reading speed of second grade students in a large city is approximately normal, with a mean of 91 words per minute (wpm) and a standard deviation of 10 wrpm. A teacher instituted a new reading program at school. After 10 weeks in the​ program, it was found that the mean reading speed of a random sample of 19 second grade students was 90.7 wpm. What might you conclude based on this​ result? Select the correct choice below and fill in the answer boxes within your choice. ​(Type integers or decimals rounded to four decimal places as​ needed.)

Answer:

We would conclude that the new program doesn't seem to be more effective than the old program.

Step-by-step explanation:

We are given;

Population mean; μ = 91

Population standard deviation; σ = 10

Sample mean; x¯ = 90.7

Sample size; n = 19

Formula for z-score

z = (x¯ - μ)/(σ/√n)

z = (90.7 - 91)/(10/√19)

z = -0.131

From online p-value from z-score calculator attached, using z = -0.131; significance level = 0.05; one tailed, we have;

P-value = 0.4479

This is more than the significance level of 0.05. Thus, we would conclude that the new program doesn't seem to be more effective than the old program.

Answer:

G , JG, GH are the answers

Step-by-step explanation:

I’m so sorry the wretarded Billie Eyelash Stan couldn’t answer your question the first time :( but luckily my awesome smartness came along and gave you the answer, yes, yes. no problem anytime ;)

Answer:

G , JG, GH are the answers

Step-by-step explanation:

i just did it 100%

Answer:

9

Step-by-step explanation:

someone help me on my homework before i lose my sanity pls its my most recent question im done <3

Answer:

Let the common ratio be x then

The amount of money in Terry' S Bank account will be 3x and that in Faye's Band Account will be 5x. So

According to question:

3x+£220=5x-£300

£220+£300=5x-3x

£520=2x

x=£210

Balance of Terry:3x

3×£210

£630

Balance of Faye=5x

5×£210

£1050

Money Altogether=£1050+£630

= £1680

Money Altogether in their account is £1680

Step-by-step explanation:

^

answer: 0.000027= 2.7× 10 to the power of -5

Answer:

x=4

length=13

width=-1

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

6 eggs

Step-by-step explanation:

15=5*3

so times the eggs by 3

2*3=6

I'm not sure what you want but the slope for each graph from left to right is 5, -7/8, -2.

The equation of each graph from left to right in slope intercept form is

y = 5x + 2, y = -7/8x - 11/8, y = -2x + 6.

Answer:

12

Step-by-step explanation:

I just did 9 ÷ .75 = 12