10. For the equation 3x – 4 = 8, which
number makes the equation true:
x = 2, x= 3, X= 4, or x = 5?

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

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

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

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.

Answer:

B) x = +/- 17

Step-by-step explanation:

Answer:

it D

Step-by-step explanation:

I took the usatestprep

Answer:

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

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - 3x + 1 ← is in slope- intercept form

with slope m = - 3

Given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{-3}[/tex] = [tex]\frac{1}{3}[/tex], thus

y = [tex]\frac{1}{3}[/tex] x + c ← is the partial equation of the perpendicular line

To find c substitute (6, 3) into the partial equation

3 = 2 + c ⇒ c = 3 - 2 = 1

y = [tex]\frac{1}{3}[/tex] x + 1 ← equation of perpendicular line

The equation of the line that is perpendicular to y = -3x + 1 and passes through the point (6, 3) is y = 1/3x + 1

To find the equation of the line that is perpendicular to y = -3x + 1 and passes through the point (6, 3), we first need to find the slope of our new line. The slope of a line perpendicular to another is the negative reciprocal of the original slope. Since the slope of the original line is -3, the slope of the new, perpendicular line will be 1/3.

The general equation of a line is y = mx + b, where m is the slope and b is the y-intercept. We already have the slope, m = 1/3, and a point through which the line passes (6, 3). Substituting these values into the equation gives us 3 = 1/3 * 6 + b. Solving for b gives us b = 1.

Therefore, the equation of the line that is perpendicular to y = -3x + 1 and passes through the point (6, 3) is y = 1/3x + 1.

https://brainly.com/question/35689521

#SPJ11

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:

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

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°.

https://brainly.com/question/24460838

#SPJ12

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:

Area is 491.07m to the nearest tenth

Step-by-step explanation:

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

Learn more about percentages here:

https://brainly.com/question/29306119

#SPJ5

Answer:

The slope is 0/-8 zero

Step-by-step explanation:

To find the slope you use the equation m=Y2-Y1 m= -2-(-2) = 0

X2-X1 -9- (-1) -8

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:

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:

20 oz

Step-by-step explanation:

Answer:

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

Answer:

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

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

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:

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.

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:

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

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.

Learn more about  the identification of knowing your audience: https://brainly.com/question/25736444

#SPJ2

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:

Answer:

13 scoops

Step-by-step explanation:

PART 1) 2.5*2.5*8/3*3.14

               52.36

PART 2) 660/52.36

              13 scoops

Answer:

40 scoops

Step-by-step explanation:

Volume of the sink is 660pi in³

Volume of the cone/scoop is:

⅓ × pi × 2.5² × 8 = 50pi/3 in³

No. of scoops required:

660pi ÷ 50pi/3

660 ÷ 50/3 = 39.6

Answer:

60 people

Step-by-step explanation:

27/.45=60

Here you are: B and E

Jasmine calculates the selling price of her jewelry by adding a markup percentage to the cost price. The sale price is equivalent to the cost price plus the percentage markup applied to this cost. For example, if the jewelry cost is $10 with a markup of 20%, the selling price will become $12.

Jasmine's method of pricing involves costs and percentage markup into consideration. To determine the selling price, she first calculates the cost to make the jewelry. This could include the cost of beads, thread, and her time. Afterwards, she determines the percentage markup. This is the additional amount on top of the cost price to generate profit. The equation can be written as: Selling price = Cost price + (Percent markup/100 * Cost Price).

For example, if it costs her $10 to make a piece of jewelry and she uses a markup of 20%, the amount of markup added would be $2 (20/100 x $10). Therefore, she would sell the jewelry for $12 ($10 + $2).

https://brainly.com/question/30175942

#SPJ12

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: