HELP! PLEASE! Jackson is building a small rectangular basketball section in his backyard. The length of the section will be 1.25 times the width of the section.
Part A
Create an equation to represent the area of the basketball section, A, in terms of the width, w.
Part B
Jackson decides to make the area of the basketball section 245 square feet. What are the dimensions, in feet, of the basketball section?
SHOW ALL WORK PLEASE

Answer:

512 units towards the right of the y-axis, and 1 unit below the x-axis.

Since, you have not mentioned the statements, but I am solving the expression as well as verifying which anyways may be able to make you understand the concept.

Answer:

Both [tex]x<-36\quad \mathrm{or}\quad \:x>72[/tex] are the True solutions.

Step-by-step explanation:

Considering the expression

[tex]\left|6-\frac{x}{3}\right|>18[/tex]

[tex]\mathrm{Apply\:absolute\:rule}:\quad \mathrm{If}\:|u|\:>\:a,\:a>0\:\mathrm{then}\:u\:<\:-a\:\quad \mathrm{or}\quad \:u\:>\:a[/tex]

[tex]6-\frac{x}{3}<-18\quad \mathrm{or}\quad \:6-\frac{x}{3}>18[/tex]

solving

[tex]6-\frac{x}{3}<-18[/tex]

[tex]6-\frac{x}{3}-6<-18-6[/tex]

[tex]-\frac{x}{3}<-24[/tex]

[tex]3\left(-\frac{x}{3}\right)<3\left(-24\right)[/tex]

[tex]\mathrm{Multiply\:both\:sides\:by\:-1\:\left(reverse\:the\:inequality\right)}[/tex]

[tex]\left(-x\right)\left(-1\right)>\left(-72\right)\left(-1\right)[/tex]

[tex]x>72[/tex]

also solving

[tex]6-\frac{x}{3}>18[/tex]

[tex]6-\frac{x}{3}-6>18-6[/tex]

[tex]-\frac{x}{3}>12[/tex]

[tex]-x>36[/tex]

[tex]\mathrm{Multiply\:both\:sides\:by\:-1\:\left(reverse\:the\:inequality\right)}[/tex]

[tex]\left(-x\right)\left(-1\right)<36\left(-1\right)[/tex]

[tex]x<-36[/tex]

[tex]\mathrm{Combine\:the\:intervals}[/tex]

[tex]x<-36\quad \mathrm{or}\quad \:x>72[/tex]

Verifying the solution:

Putting the value x < -36 in [tex]\left|6-\frac{x}{3}\right|>18[/tex]

let suppose x = -37 which is < -36

[tex]\left|6-\frac{x}{3}\right|>18[/tex]

[tex]\left|6-\frac{\left(-37\right)}{3}\right|>18[/tex]

[tex]\mathrm{Apply\:rule}\:-\left(-a\right)=a[/tex]

[tex]=\left|6+\frac{37}{3}\right|[/tex]

[tex]=\left|\frac{55}{3}\right|[/tex]

[tex]\mathrm{Apply\:absolute\:rule}:\quad \left|a\right|=a,\:a\ge 0[/tex]

[tex]\frac{55}{3}>18[/tex]

[tex]\mathrm{Therefore,\:the\:solution\:is}[/tex]

[tex]\mathrm{True}[/tex]

also putting the value x > 72

let suppose x = 73 which is > 72

[tex]|6-\frac{\left(73\right)}{3}|>\:18[/tex]

[tex]=\left|-\frac{55}{3}\right|[/tex]

[tex]\mathrm{Apply\:absolute\:rule}:\quad \left|-a\right|=a[/tex]

[tex]=\frac{55}{3}[/tex]

[tex]\frac{55}{3}>18[/tex]

[tex]\mathrm{Therefore,\:the\:solution\:is}[/tex]

[tex]\mathrm{True}[/tex]

So, both [tex]x<-36\quad \mathrm{or}\quad \:x>72[/tex] are the True solutions.

Answer: 2, 3, 4, & 6.

Step-by-step explanation: edge 2021

In the context of geometry, vertical angles are always congruent, which means they have the same measure. If one of the vertical angles measures 68°, the measure of the other angle is also 68°. Therefore, the correct answer is B. 68°.

The question is asking for the measure of the second angle, given that two angles are vertical angles and one of them measures 68°. In terms of geometry, vertical angles are the angles that are opposite each other when two lines intersect. An important property of vertical angles is that they are always congruent, which means they have the same measure. So, if one of the vertical angles is 68°, the other angle is also 68°. Hence, the correct answer is B. 68°.

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Since vertical angles are always congruent, the measure of the other angle is also 68°.

The question involves identifying the measure of the other angle when two angles are vertical angles. Vertical angles are angles that are opposite each other when two lines intersect. They are always equal to each other in measure.

Given that one angle measures 68°, the other angle, being a vertical angle, will also measure 68°.

Therefore, the correct answer is: B. 68°

Answer:

Group a, I did it

Step-by-step explanation:

The solution is Group A. As the number of trials get larger, experimental probability approaches theoretical probability. With a probability of 0.175 group A rolled a 4 14 out of 80 times.

PLEASE MARK BRAINLIEST

Answer:

The answer is Group A

Step-by-step explanation: I got it correct

Hey There!

The answer you are looking for is:

False, they are not equivalent.

Explanation / Work

First convert 2/5 into the same 'value' as 8/15

2/5 -> 4/10 -> 6/15.

As you can see, 6/15 is not the same as 8/15.

Meaning they are not equivalent.

Hope I helped! Please rate 5 stars and brainliest!

Answer:

4

Step-by-step explanation:

Add 2 And 2, quite Simple

2 + 2 = 4

Hope this helps >.>

Answer:

4

Step-by-step explanation:

[tex]2+2\\Check:4-2=2\\[/tex]

Answer:

-7, -2, 1, 6

Step-by-step explanation:

The points that are on the number line are:  -7, -2, 1, 6

Answer: -7, -2, 1, 6

Answer:

-7, -2, 1, 6

Step-by-step explanation:

Answer:

Yes 240sq ft is only required.

Step-by-step explanation:

60 x 48 =2880 inch square

We convert to feet 1 ft = 12 inches

2880/12 = 240sq ft

Answer:

24.800.000=100000

Step-by-step explanation:

gooogglleeeee PeRiOd

The cost of the car is $31824

A percentage is a number or ratio that can be expressed as a fraction of 100. If we have to calculate the percent of a number, divide the number by the whole and multiply by 100. Hence, the percentage means, a part per hundred. The word percent means per 100. It is represented by the symbol “%”

Given here: Price of the car =$24,800 down payment % =18 and monthly installment of $760

Thus Total cost= $24,80×0.18+36×760

                         = $31824

Hence, The cost of the car is $31824

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Answer:

60 people

Step-by-step explanation:

27/.45=60

Answer:

20 oz

Step-by-step explanation:

Answer:

Your answer would be 20. Just multiply the volume value by 20.

The factored form of given is:

[tex]x^2 - 12x + 36 = (x-6)(x-6)[/tex]

Solution:

Given that,

[tex]x^2 - 12x + 36[/tex]

We have to find the factored form

From given,

[tex]x^2-12x+36\\\\\mathrm{Rewrite\:}36\mathrm{\:as\:}6^2\\\\x^2-12x+6^2\\\\\mathrm{Rewrite\:}12x\mathrm{\:as\:}2x\cdot \:6\\\\x^2-2x\cdot \:6+6^2\\\\\mathrm{Apply\:Perfect\:Square\:Formula}:\quad \left(a-b\right)^2=a^2-2ab+b^2\\\\a=x,\:b=6\\\\Therefore,\\\\x^2-12x+36 = \left(x-6\right)^2\\\\Which\ is\\\\x^2-12x+36 = (x - 6)(x - 6)[/tex]

Thus the given expression is factored

Final answer:

The expression x²−12x+36 is factored as (x-6)(x-6) or (x-6)².

Explanation:

The expression x²−12x+36 represents a quadratic equation. To factor this expression, we look for two numbers that both add to the middle term, -12, and multiply to the constant term, 36. The numbers that fit this requirement are -6 and -6, since (-6) + (-6) = -12 and (-6) × (-6) = 36. Therefore, the expression in factored form is (x-6)(x-6), which can also be written as (x-6)².

Answer:

8.68?

Step-by-step explanation:

adding them together just like that she buys cat food 6.75+ 1.89 for cat treats wouldn't thw be right? unless your needing tax as well and that's typically 10cents to ever dollar you spend

Answer:

The answer is 8.64

Step-by-step explanation:

It is decimals not actually cash so there is no tax, Plus I took the K-12 test and got it right!

Answer:

3x(27x^2+3x+1)

Step-by-step explanation:

ayou take out the GCF-greatest common factor and then factor it

Answer:

(3x + 1)2 • (3x - 1)2

Step-by-step explanation:

An answer is an option (D)  for all of these.

"Know your audience" and Why is it important to know your audience?

Knowing your audience helps you figure out what content and messages people care about.

To "know your audience," you should identify what are ?

a. Need to know

c. Are interested in

b. Want to know

d. all of these

hence the answer is all of these.

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Answer:

m=47° n=52°

Step-by-step explanation:

38°,43°,m and n are all on the same line therefore they are all supplementary angles, or equal to 180°. 43° and m are also commplmentary angles or equal to 90°. This information will help with my work above.

Answer:

B) x = +/- 17

Step-by-step explanation:

Answer:

it D

Step-by-step explanation:

I took the usatestprep

Hey there!

[tex]3x^2 + x -5 = 0[/tex]

This equation is in standard form, which is [tex]ax^2+bx+c=0[/tex].

We are going to solve this with the quadratic equation, so we need to find the values for a, b, and c in the given equation. We can just look at it and identify the variables.

a = 3, b = 1, c = -5

Let's plug these values into the quadratic equation:

[tex]x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}[/tex]

[tex]x=\frac{-1\pm\sqrt{1^2-4(3)(-5)} }{2(3)}[/tex]

Multiply 4(3)(-5) together and multiply 2(3). Square 1.

[tex]x=\frac{-1\pm\sqrt{1+60} }{6}[/tex]

Add 1 and 60.

[tex]x=\frac{-1\pm\sqrt{61} }{6}[/tex]

This is our answer in exact form. If you need this as an approximate value, let me know and I will do that for you.

Hope this helps!

Answer:

5

Step-by-step explanation:

Subtraciting

Answer:

If your asking what 9 - 14 is, than you would get a negative number.

9 - 14 = -5

Step-by-step explanation:

If you have any questions, please let me know.

Average speed of the car is 29.85 miles/hr

Step-by-step explanation:

Speed = Distance/Time

           = 20.5/0.67

           = 29.85 miles/hr

Answer:

b = 5

Step-by-step explanation:

to get b, you see that is multiplied by 7. to get rid of the 7, you have to divide both sides by 7. this is because 7/7 = 1, so you would just have b. then, 35/7 equals 5, and it is on the other side of the equal sign, so you would have b = 5.

Answer:

[tex]b = 5[/tex]

Step-by-step explanation:

[tex]7b = 35 \\ \frac{7b}{7} = \frac{35}{7} \\ b = 5[/tex]

Answer:

47

Step-by-step explanation:

The numbers given as 47, 46, 38, 45, 41 represent 5 people and adding Ainsley, they are 6 people.

The sum of individual sit ups by the 5 will be

47+46+38+45+41=217

Since the mean for 6 people is 44, it means their sum is 6*44=264

Getting the difference between the sum for 6 people and the sum for five people we get that

264-217=47

This is the number of sit-ups for the sixth person who is Ansley

Answer:

Area is 491.07m to the nearest tenth

Step-by-step explanation:

The length and width of square is 8 inches.

Step-by-step explanation:

Given,

Perimeter of square = 32 inches

We know that all sides of square are equal, therefore,

Length = width = s

Perimeter of square = 4s

[tex]32=4s\\4s=32[/tex]

Dividing both sides by 4

[tex]\frac{4s}{4}=\frac{32}{4}\\s=8[/tex]

Therefore,

The length and width of square is 8 inches.

Final answer:

The length and width of the square are each 8 inches, calculated by dividing the given perimeter of 32 inches by the number of sides of a square, which is 4.

Explanation:

To find the length and width of a square given its perimeter, we need to recall that all four sides of a square are of equal length. Since the perimeter of the square is 32 inches, we divide this number by 4 to find the length of one side. So, the length and width of the square are:

32 inches ÷ 4 = 8 inches.

Therefore, each side of the square is 8 inches long.

25x + 15y = 265

x+y = 13

Step-by-step explanation:

Step 1:

Given

Number of shirts Leah can iron in an hour = 25 shirts

Number of shirts Christopher can iron in an hour = 15 shirts

Total number of hours worked by both = 13 hours

Total number of shirts ironed by them = 265 shirts

Step 2 :

Let x represent the number of hours Leah works and y represent the number of hours Christopher works

Leah irons 25 shirts in one hour, so in x hours he would iron 25x shirts

Christopher irons 15 shirts in one hour, so in y hours he would iron 15y shirts

Given total shirts ironed by them together is 265 , we have

25x + 15y = 265

They worked a combined of 13 hours, so

x+y = 13

Step 3:

The system of equations that could be used to determine the number of hours Leah worked and the number of hours Christopher worked are ,

25x + 15y = 265

x+y = 13

Answer:

System of Equations:

x + y = 13

25x + 15y = 265

x = number of hours Leah works

y = the number of hours Christopher works

Answer: 0.00108154877

Step-by-step explanation:

The division [tex]\frac{5}{4623}[/tex] results in the simple decimal 0.001081603. This expression is already reduced to the most basic fraction form of itself.

The division is an arithmetic operation that involves splitting a quantity or number into equal parts or groups. It is the inverse operation of multiplication. In division, a number called the dividend is divided by another number called the divisor to obtain the quotient.

The dividend is the total quantity or number being divided, while the divisor is the number by which the dividend is divided. The result of the division is called the quotient, which represents the number of times the divisor can be subtracted from the dividend to achieve equal parts.

Given the expression [tex]\frac{5}{4623}[/tex] ,

[tex]\frac{5}{4623}[/tex] = 5 [tex]\div[/tex] 4623 = 0.001081603.

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For this case we have that by definition, the area of a circle is given by:

[tex]A = \pi * r ^ 2[/tex]

Where:

r: It is the radius of the circle

Circle 1:

[tex]A_ {1} = \pi * (10) ^ 2 = 100 \pi \ in ^ 2[/tex]

Circle 2:

[tex]A_ {2} = \pi * (6)^2 = 36 \pi \ in ^ 2[/tex]

Thus, the area of the region bounded is given by:

[tex]A = 100 \pi-36 \pi = 64 \pi \ in ^ 2[/tex]

Answer:

[tex]64 \pi \ in ^ 2[/tex]

Option B

Here you are: B and E

Answer:

$50

Step-by-step explanation:

$125 - $75 = $50!