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A prism with an volume of 148 cubic cm is dilated by a factor of 5.5.

The volume of the dilated prism is ___ cubic cm.

(this is just a word question)

Answers

Answer 1

Answer:

24623.5 cubic cm

Step-by-step explanation:

A prism with an volume of 148 cubic cm is dilated by a factor of 5.5.

This is calculated as:

Let the volume of the dilated prism = x

Hence:

x/148 = (5.5)³

Cross Multiply

x = 148 cm³ × 5.5³

x = 24623.5 cm³

The volume of the dilated prism is 24623.5 cubic cm.


Related Questions

how many solutions are there to the system of equations graphed below if the lines are parallel ?

Answers

A. Zero

They're parallel so they will never intersect therefore: no solutions :]

When completely factored, 2x3 - 200x
equals-

Answers

Answer:

Step-by-step explanation:

The only way this can be factored is by pulling out the GCF. 2 and x are common to both terms:

[tex]2x(x^2-100)[/tex]

BUT you should also recognize that what's inside the parenthesis is the difference of perfect squares. And that factors to

(x - 10)(x + 10). So the complete factorization is

2x(x - 10)(x + 10)

WRITE an equation of the line that passes through the given point and is PARALLEL to the given line.


(10, -12), 3x + 4y = 1

Answers

Answer:

[tex]y=-\frac{3}{4}x-\frac{9}{2}[/tex]

Step-by-step explanation:

Hi there!

What we need to know:

Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when x is 0)Parallel lines always have the same slope

1) Determine the slope (m)

[tex]3x + 4y = 1[/tex]

Rearrange the given equation into slope-intercept form (this will help us determine m)

Subtract 3x from both sides to isolate 4y

[tex]3x + 4y-3x = -3x+1\\4y= -3x+1[/tex]

Divide both sides by 4 to isolate y

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

Now, we can identify that [tex]-\frac{3}{4}[/tex] is the slope of the line. Parallel lines have the same slope, so this would also be the slope of the line we're solving for. Plug this into [tex]y=mx+b[/tex]:

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

2) Determine the y-intercept (b)

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

Plug in the given point (10,-12) and solve for b

[tex]-12=-\frac{3}{4}(10)+b\\-12=-\frac{3}{2}(5)+b\\-12=-\frac{15}{2}+b[/tex]

Add [tex]\frac{15}{2}[/tex] to both sides to isolate b

[tex]-12+\frac{15}{2}=-\frac{15}{2}+b+\frac{15}{2}\\-12+\frac{15}{2}=b\\-\frac{9}{2} =b[/tex]

Therefore, the y-intercept is [tex]-\frac{9}{2}[/tex]. Plug this back into [tex]y=-\frac{3}{4}x+b[/tex]:

[tex]y=-\frac{3}{4}x-\frac{9}{2}[/tex]

I hope this helps!

This is my hw. heelp

Answers

Answer:

1/14

Step-by-step explanation:

Maggie timed how long it took
her to finish a jigsaw puzzle.
The first time she finished in
12 minutes. She was able to
finish the puzzle twice as fast
the second time and three times
as fast the third time. How
long did it take her to finish
the puzzle the second and third
times?
What is the answer

Answers

The first time she finished in 12 minutes.

The second time she finished in 12/2=6 minutes

The third time she finished in 12/3=4 minutes

Please help I’ll give brainliest

Answers

Answer:

33

Step-by-step explanation:

The formula for solving the area of a Trapezoid is a+b/2*h if we substitute the value to 16+3/2*3 it will equal 33

Please telll me answerPlease tell me answer​

Answers

Answer:

x = 1 .  Hopefully im reading this correct

Step-by-step explanation:

8x - 5 = 3

8x = 5 + 3

8x = 8

x = 8/8

x = 1

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

x is 1

Step-by-step explanation:

AC =PR

AB =PQ

8x - 5 =3

8x =3+5

8x =8

x=8/8

x=1

write equivalent fractions for 2 3/4+1 2/3 using a common denominator.

Answers

Answer:

3 2/3 will be 3 10/15

1 4/5 will be 1 12/15

Divide 3 into 15 and get 5; 5 x 2 = 10

Divide 5 into 15 and get 3; 3 x 4 = 12

So new equivalent fractions are 3 10/15

                                              and 1 12/15

Step-by-step explanation:

Muffins are sold in packages of 18 and cost $27 per package. Each of 6 friends gets an equal share of muffins from p packages of muffins. Write an expression to represent how much each friend must pay.

Answers

Answer:

27/18= 1.5

18/6 = 3

3•1.5= 4.5

Step-by-step explanation:

$27 divided by 18 muffins equals $1.50, 18 muffins divided by 6 people equals 3, 3 muffins times $1.50 equals $4.50. So $4.50 is how much each person would have to pay.

Brian decided to start a dog-walking service. He's going to charge each dog owner $4.50 to walk one dog and $6.75 to walk two dogs. Approximately how much will he earn if he walks 13 single dogs and 9 sets of two dogs?

Answers

Answer:

$119.25

Step-by-step explanation:

13 × 4.50 = 58.5

9 × 6.75 = 60,75

58.5 + 60.75 = 119.35

Answer:

$119.25

Step-by-step explanation:

you have to multiply 4.50 x 13 than you multiply 6.75 x 9, which is 60.75 and 58.50. next you add 60.75 and 58.50 and get your answer of $119.25.

What is the exponent for the expression 6 x 6 x 6 x 6 x 6?

Answers

Answer:

6^5

Step-by-step explanation:

Answer: 6^5

Step-by-step explanation:

help me solve for x.

Answers

Answers : x= 15 i took a test and got it right

Please help me I would really appreciate it, If you can't that is okay but please try!

Answers

Answer:

Either A or B

Step-by-step explanation:

Its not C or D sorry I couldn't be much help, but I hope that makes it a bit easier?

calculate the amount that will be in the bank after 4years if R3500 was invested at 9% p.a. simple interest​

Answers

Answer:

4760

Step-by-step explanation:

Simple interest= principal× time ×rate/100

=3500×4×9/100

= 1260

Amount that will be in the bank after 4years= 3500+1260

=4760

Alan recorded the points he scored on the basketball court in ms2 school yard. What is the mean absolute deviation of his scores

Answers

Answer:

The mean absolute deviation is: 7.44

Step-by-step explanation:

Given

[tex]Scores: 98, 78, 84, 75, 91[/tex]

Required

The mean absolute deviation

First, calculate the mean

[tex]\bar x = \frac{\sum x}{n}[/tex]

[tex]\bar x = \frac{98+78+84+75+91}{5}[/tex]

[tex]\bar x = \frac{426}{5}[/tex]

[tex]\bar x = 85.2[/tex]

The mean absolute deviation (M) is:

[tex]M = \frac{1}{n}\sum|x - \bar x|[/tex]

So, we have:

[tex]M = \frac{1}{5}(|98 - 85.2|+|78 - 85.2|+|84 - 85.2|+|75 - 85.2|+|91 - 85.2|)[/tex]

[tex]M = \frac{1}{5}(|12.8|+|-7.2|+|-1.2|+|-10.2|+|5.8|)[/tex]

Remove absolute brackets

[tex]M = \frac{1}{5}(12.8+7.2+1.2+10.2+5.8)[/tex]

[tex]M = \frac{1}{5}*37.2[/tex]

[tex]M = 7.44[/tex]

I NEED HELP PLEASE ITS A SOLVE FOR X PROBLEM :(

Answers

Answer:

x = 4

Step-by-step explanation:

6(6 + x) = 5(5 + x + 3) => secant secant theorem

36 + 6x = 5(8 + x)

36 + 6x = 40 + 5x

Subtract 36 from each side

36 + 6x - 36 = 40 + 5x - 36

6x = 4 + 5x

Subtract 5x from each side

6x - 5x = 4 + 5x - 5x

x = 4

Hi please help I have no idea how to even start my work, someone help!!!.

Answers

Answer:

x is greater than -3 and it is also less than or equal to 2

-3 < x  ≤ 2

Step-by-step explanation:

a b and c of a right angled are in the ratio 7:18:11

the smallest angle is 35

work out angles a b and c

Answers

Answer:

a=35° b=90° c=55°

Step-by-step explanation:

7:18:11

total ratio=7+18+11

=36

The smallest angle(a)

7/36 x s=35

7s/36=35

7s=35x36

7s=1260

7s/7=1260/7

s=180°

second angle (b)

18/36x180

=90°

third angle (c)

11/36x180

=55°

the triangles are similar, what is the value of x?

Two triangles that intersect at a single vertex. The smaller triangle has an upper angle measuring 126 degrees and the angle where the vertices intersect measuring 16 degrees. The larger triangle has an upper angle measuring 126 degrees. The exterior angle made where the triangles intersect above the point of intersection measures 3 x degrees.
x = 16
x = 38
x = 42
x = 54

Answers

Answer:

I think it would be 42. If its wrong I'm sorry

The sum of two consecutive integers is at least 36. What does the equation look like and what is the least possible pair of integers?



A.x+x+1≤36
18 and 17


B.x+x+1≥36
17 and 19


C.x+x+1≥36
18 and 19


D.x+x+1≤36
18 and 18

Answers

Answer:

The answer is B

Step-by-step explanation:

the ans has to be 36 or more. so A and D can't B the answer. amongst B and C the lowest possible value is B - 36. so 36 is the answer

Find the value of x

Answers

Answer:

X+6+2x=180

6+3x=180

3x=172

x=57 1/3

which ordered pair is a solution to the system of inequalities graphed?​

Answers

Answer:

(2,2)

Step-by-step explanation:

fits the requirements

HELP
Find the distance from point P (-2, 8) to the line y = -1.

Answers

Step-by-step explanation:

Distance= ✓(-2-0)²+(8+1)²

=✓(4+81)

=✓85

does anyone know the answer for his ?

Answers

the answer is B :) i answered the other one
the answer is B x=1+2i,1−2i

please give answer I will mark as brainliest if you give the right answer​

Answers

a) 8.68 x 10^25

b) 1.439 x 10^12

Answer:

(8.6810±0.0013)×10^26 kg

1.439 time 10^12

Step-by-step explanation:

standard for is the whole numer with thousandth's place times 10^n or the number of zeroes

For each steak, lobster, or chicken dinner in a restaurant, you have a choice of french fries or mashed potatoes. You get a choice of Water or Iced Tea to drink. If all combinations are equally likely to be ordered, find the sample space of the possible outcomes.

Answers

There should be 36 combinations that you should be able to do! I hope this helps!

Given y= -5x^2 +30x -9, find the axis of symmetry.

x= -30
x= 6
x= 3
x= -3

Answers

Answer:

8

Step-by-step explanation:

pls mark me brainliest

-5(x²-6x+9)+45-9

-5(x-3)²+36

Standard form

y= a(x-p)²+q

a=-5,p= 3 and q=36

axis of symmetry :x= p

=>x= 3

Hope it helps you...

the money used in south Africa is is called the rand . the estrange rate 7 rand for $1. Find how many dollars you would receive if you estrange 21 rand.

Answers

3 dollars I believe

which point is a solution to the inequality shown in this graph


(0, 5)
(3, 2)
(-3, -6)
(5, 0)

Answers

Answer:

(0,5)

Step-by-step explanation:

if the point is graphed in the blue area then it is a solution to the inequality

Note: because the line is dashed points graphed on the line are not solutions

(0,5) is graphed in the blue region meaning that (0,5) is a solution to the inequality.

even though we may have found the answer let's check the rest just to be safe

(3,2) and (-3,-6) are graphed on the line

remember because the line is dashed points that fall on it are not solutions

therefore (3,2) and (-3,-6) are not Solutions

(5,0) when graphed is not in the shaded area and is therefore not a solution

we can conclude that a is the answer

given m||n, find the value of x

Answers

Answer:

170º

Step-by-step explanation:

The angles are supplementary

x = 180 - 10

x = 170

the value of x is 170°
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