Determine the volume of the​ three-dimensional figure.

Answer:

length: 120 feet

width: 80 feet

area: 9600 feet^2

Step-by-step explanation:

since the scale is 1 inch:10 feet:

to find the actual length, we would multiply 12 by 10, since 1 inch would be 10 feet and the length in the floor plan is 12 inches:

length = 12*10=120

the length of the actual room is 120 feet.

to find the actual width, we would multiply 8 by 10, for the same reasons i explained for the length:

width = 8*10=80

the width of the actual room is 80 feet.

to find the area, we would multiply length by the width:

80*120=9600 square feet.

Answer:

length= 120 feet

width= 80 feet

Area=9,600 feet

Step-by-step explanation:

each inch equals 10 feet

12×10=12

8×10=80

area=length×width

120×80=9600

There are 12 possible outcomes (12 months). This means the chance Siobhan guesses the month Andrew wrote down is 1/12 or 8.333%

Answer:

50

Step-by-step explanation:

Answer:

83

Step-by-step explanation:

78 + 124 + 75 = 277

360 - 277 = 83

Answer:

6 apples, 21 apples, 30 apples respectively

Step-by-step explanation:

Let us first start by writing expressions so that we can easily solve for the problems below.

Let us suppose Alice is x. In this case, Claire has 3 times Alice's apples, so 3x.

1. If Alice has 2 apples (x), then Claire has 3x

3*2=6 apples

Claire has 6 apples.

2. If Alice has 7 apples (x), then Claire has 3x

3*7=21 apples

Claire has 21 apples.

3. If Alice has 10 apples (x), then Claire has 3x

3*10=30 apples

Claire has 30 apples.

I hope this helps! Please let me know if you have any further questions :)

Answer:

y=0.5x+8

Step-by-step explanation:

Use the formula for the equation of a line y=mx+c where m is the slope and c is a number.

To find the slope, take two points (x₁,y₁) (x₂,y₂) and put them into the slope equation m=(y₂-y₁)/(x₂-x₁):

We can take two points from the graph: (2,9) (4,10)

m=(y₂-y₁)/(x₂-x₁)

m=(10-9)/(4-2)

m=1/2 or 0.5

Now sub this value in for m and our formula looks like this:

y=0.5x+c

To find the value of c, sub in one of the points, eg. (4,10)

y=0.5x+c

10=0.5(4)+c

10=2+c

c=8

So now that we now m and c, our equation is complete :D

y=0.5x+8

Answer:

Step-by-step explanation:

The slope-intercept equation for a line is y = mx+b, where m is the slope and b is the y-intercept.

Refer to the picture. You can see that the line crosses the y-axis at (0,8), which means the y-intercept is 8.

The graph shows the path of a hiker walking up the hill. When he goes from one blue dot to the next, he has moved 2 units to the right and 1 unit up. The slope of the hill is ½.

Slope-intercept equation for line of slope ½ and y-intercept 8:

y = ½x+8

There is nothing to simplify.

Answer:

5x + 7

Step-by-step explanation:

Add 3x and 2 x

Answer:

a)  [tex]\frac{2x-26}{(x+3)(x-5)}[/tex]

Step-by-step explanation:

Explanation

Given

           [tex]\frac{4}{x+3} - \frac{2}{x-5}[/tex]

   [tex]= \frac{4(x-5)-2(x+3)}{(x+3)(x-5)}[/tex]

   [tex]= \frac{4x-20-2x-6)}{(x+3)(x-5)}[/tex]

   [tex]= \frac{2x-26}{(x+3)(x-5)}[/tex]

  [tex]\frac{4}{x+3} - \frac{2}{x-5}[/tex] =    [tex]\frac{2x-26}{(x+3)(x-5)}[/tex]

Answer:

17.2413793103 hours

Step-by-step explanation:

100 divided by 5.8 = 17.2413793103

hope this helps!

Answer:

Step-by-step explanation:

Coordinates of point B = (8, -6)

Reflection across the x-axis results in:

Coordinates of B'

1.

ans= -1.8 and 3.2,

2.

ans= -5/4 and 2/3

3.

ans= 0,4 and 16

Hope it helps.

Answer:

1.  2/3 ,-5/4 , -1.8 , 3.2

2. -2  and 0

3. 4 and 16

Step-by-step explanation:

1.Rational numbers should have a numerator and a denominator. An integer should not be a decimal or a fraction.

In this case : 2/3 ,-5/4 , -1.8 , 3.2

2. Whole numbers are counting numbers. An integer can be non-negative, positive, negative or zero.

In this case : -2 , 0

3. Whole numbers remaining are ;

   4  and 16

Answer:

54 seconds

Step-by-step explanation:

[tex]\frac{9}{10}(1\:min)\\\\=\frac{9}{10}(60s)\\\\=9\times6s\\\\=54s[/tex]

Answer:

54 seconds.

Step-by-step explanation:

[tex]\frac{9}{10} * 60 = 54[/tex]

9514 1404 393

Answer:

  1, 2, 3, 5, 6, 7, 10, 11, 14, 15, 21, 22, 30, 33, 35, 42,

  55, 66, 70, 77, 105, 110, 154, 165, 210, 231, 330, 385, 462, 770, 1155, 2310

Step-by-step explanation:

The trailing digit is 0, and the sum of digits is 6, so we know the number is divisible by 2, 3, 5. Dividing out those factors, we get a quotient of 77, which is 7×11. This means the prime factorization is ...

  2×3×5×7×11 = 2310

There are 5 prime factors, each with an exponent of 1, so the total number of divisors is 2^5 = 32. We will have found them all when all 32 are listed.

  1, 2, 3, 5, 6, 7, 10, 11, 14, 15, 21, 22, 30, 33, 35, 42,

  55, 66, 70, 77, 105, 110, 154, 165, 210, 231, 330, 385, 462, 770, 1155, 2310

Of course, the pairwise products working toward the center from the ends of the list are all 2310.

Answer:

Step-by-step explanation:

example 2: 108/36

example 3: 63/27

Answer:

x + 7

Step-by-step explanation:

N/A

Answer:

x + 7

Step-by-step explanation:

We don’t know his current age so we can use x to represent it. In 7 years, he will obviously be 7 years older so that will be addition.

Best of Luck!

Answer:

0.550127

Step-by-step explanation:

Prob ( 145 < x < 171) =

Prob (  (145 - 170.4)/10 < z < (171-170.4)/10 ) =

Prob ( -2.54 < z < 0.14) =

Prob ( z < 0.14) - Prob (  z< -2.54) =

0.550127

Answer:

0.5184

Step-by-step explanation:

Answer:

mhhh

Step-by-step explanation:

Answer:

116,538.462 years i think

Step-by-step explanation:

I think it's just 303,000,000/50 = weeks it would take (average)

which would be 6,060,000 weeks or 116,538.462 years

Answer:

500

Step-by-step explanation:

510=x+.21x-.19x

510=(1+.21-.19)X

510=1.02X

X=510/1.02

X=500

Answer:

Step-by-step explanation:

She spent $820

Answer:

Intersect: (4 4/7 , 2 6/7)

Step-by-step explanation:

A: slope (m)= (-10-8) / (-9 - 10) = 18/19

Equation: y-8 = 18/19 * (x-10)

18x -19y = 28      (1)

B: slope (m) = (12 - -2) / (0 - 7) = -2

equation: y-12 = -2 *(x - 0)

2x + y = 12

38x + 19y = 228      (2)

(2) + (1): 56x = 256            x = 4 4/7

y = 12 - 2x = 12 - 64/7 = 2 6/7

Answer:x=8

Step-by-step explanation:

Corresponding angles are equal in parallel lines

So, 17x-4=12+15x

17x-4=12+15x

17x=16+15x

2x=16

X=8

Answer:

well this is required for ur knowledge and ur experience but i could give u an example if u want

last week i had lied to my step mother about something that was small, she found out emediatly that i was lying and got mad. she asked me why do i lie to her so much and i couldnt answer cuz i didnt know. i lied to her many times  before and did some other stuff to her such as stealing and lying about important stuff. yesterday when she finally wasnt mad at me we talked long and hard and she told me that each time i lied or stole from her it broke alittle bit of her trust in me, she asked me if it was cuz i just didnt like her and i told her no and that i saw her as a family memember  but she told me she didnt believe me and that she cant believe a thing i say due to how much i lied to her. there was a lot of tears after that long talk and after i calmed down i did some stuff and then started thinking of reasons why i did the things i did. then i started thinking of how i could of fixed it. a way i could of fixed the issue before it was even an issue was i could of not lied nor stole from her, i could of told her how i felt instead of holding my emotions in. id love to fix what i lost but its not possible. a way i could fix the issue i have rn is try not to lie and try to convince her to trust me. something i want to take back during our talk? not saying anything at all.

now im not saying any of that was true but its a good example of what to say during this essay you could use ur own words and ur own problem to explain how you could fix,repair and all that other stuff. just use ur own story for the essay.  in ur own words and story try to answer all the questions asked.

If you had to relive that situation all over again, how would you fix the fight or keep it from turning into one?

Think about the following questions and then write several paragraphs in response: When did the fight occur, and what was it about?

Who was at fault—you, the other person, or both of you?

Why do you think it ended poorly?

In general, what would you have done differently?

What could you have said differently that would have let the other person know you were listening?

If you could take back something you said during the fight, what would it be?

What do you wish you would have said during that fight?

Did the fight result in your not being friends or not getting along with that person anymore?

Would you want repair your relationship with this person again?

If so, what are some possible ways to fix the damage?

focus on those questions when doing ur work and explain in detail how u would of fixed it or made it better :)

hope this helps and sorry it was so long anyways ik im asking a lot but if i helped can i get brainliest?

Answer:

2x+1

Step-by-step explanation:

3x-4-x+5 = 3x-x+5-4 = 2x+1

Answer

x=1.5 :)

Step-by-step explanation:

Answer:

x= 9/2 y=1,4

Step-by-step explanation:

Hope this helped you! :)

Answer:

Step-by-step explanation:

Remark

You could do it a very convoluted way or you could do it simply. The simple way, I think, is the one intended. The x on the second equation is sitting by it itself. So is it in the first equation. Put the x from the first equation into the second.

Solution

x=6y+3 ===> x+2y=5.​

6y + 3 + 2y = 5                        First Step

8y + 3 = 5                                Subtract 3 from both sides

8y = 5 - 3                                 Combine

8y = 2                                       Divide by 8

y = 2/8

y = 1/4

============================

x = 6y + 3

x = 6*(1/4) + 3

x = 6/4 + 3

x = 1.5 + 3

x = 4.5

Solution (4.5 , 0.25)

Answer:

'The reciprocal of a number decreased by 6' is translated into an algebraic expression such as:

Step-by-step explanation:

Background knowledge about the reciprocal of a number

In order to get the reciprocal of a number, we divide 1 by the number.

For example,

The reciprocal of number 9 is 1/9.

In our case,

The word phrase is:

''The reciprocal of a number decreased by 6''.

Breakdown of the phrase:

Let the number be = n

The reciprocal of a number n = 1/n

Now, the reciprocal of a number decreased by 6 means we need to subtract 6 from the 1/n.

i.e. 1/n - 6

Thus,

'The reciprocal of a number decreased by 6' is translated into an algebraic expression such as:

Answer:

D.

Step-by-step explanation:

3x + 4 is another way of writing 2 + 3x + 2, if you add the 2's together you get a four (3x + 4).

Answer:

A. 336

B. Arranging 3 people in 8 chairs.

C. 42

B. Arranging 2 people in 7 chairs.

Step-by-step explanation:

A.

[tex]P(n, r) = P(8, 3)[/tex]

Formula for Permutation is given as:

[tex]P(n, r) = \dfrac{n!}{(n-r)!}[/tex]

Putting the value of [tex]n[/tex] = 8 and [tex]r =3[/tex] , we get:

[tex]P(8, 3) = \dfrac{8!}{(8-3)!} \\\Rightarrow \dfrac{8\times 7 \times 6 \times 5\times 4 \times 3 \times 2\times 1}{5\times 4 \times 3\times 2\times 1}\\\Rightarrow 8\times 7 \times 6 \\\Rightarrow 336[/tex]

B. Real world situation for part A:

Arranging 3 people on 8 chairs.

First person has 8 options.

Second person has 7 options.

Third person has 6 options.

C.

[tex]P(n, r) = P(7, 2)[/tex]

Formula for Permutation is given as:

[tex]P(n, r) = \dfrac{n!}{(n-r)!}[/tex]

Putting the value of [tex]n[/tex] = 7 and [tex]r[/tex] = 2 , we get:

[tex]P(7, 2) = \dfrac{7!}{(7-2)!} \\\Rightarrow \dfrac{7 \times 6 \times 5\times 4 \times 3 \times 2\times 1}{5\times 4 \times 3\times 2\times 1}\\\Rightarrow 7 \times 6 \\\Rightarrow 42[/tex]

D.  Real world situation for part AC:

Arranging 2 people on 7 chairs.

First person has 7 options.

Second person has 6 options.