Francesco built a box to store his baseball cards. The box is shown below.

Francesco needed more storage and built a similar box that was one-half of each the length, the width,
and the height of the first box. By what factor does the change in dimension between the two boxes
affect the volume?

ILL GIVE BRAINLIEST

Francesco Built A Box To Store His Baseball Cards. The Box Is Shown Below.Francesco Needed More Storage

Answers

Answer 1

Answer:

Option B

Step-by-step explanation:

Scale factor by which the dimensions of the new box was dilated = [tex]\frac{1}{2}[/tex]

In other words, dimension scale factor = [tex]\frac{1}{2}[/tex]

Relation between volume scale factor and dimension scale factor is,

Volume scale factor = (Dimension scale factor)³

Therefore, volume scale factor of the smaller box = [tex](\frac{1}{2})^3[/tex]

                                                                                   = [tex]\frac{1}{8}[/tex]

Since, volume scale factor = [tex]\frac{\text{Volume of the dilated figure}}{\text{Volume of the original figure}}[/tex] = [tex]\frac{1}{8}[/tex]

Therefore, volume of the smaller box = Volume of the larger box

Option B will be the answer.

                                           


Related Questions

Write a sine function that has an amplitude of 5, a midline of 2 and a period of 8pi/5.

Answers

Answer:

f(x) = 5*sin( (5/4)*x) + 2

Step-by-step explanation:

A general sine function can be written as:

f(x) = A*sin(w*x) + M

Where:

A is the amplitude

w is the frequency of the function

M is the midline

Here we know that we want to have:

An amplitude of 5. Then, A  = 5

A midline of 2, then M = 2

And a period of (8/5)*pi

For now, we can write our function as:

f(x) = 5*sin(w*x) + 2

Now, we know that for a function of period T, is always true that:

f(x) = f(x + T)

here, the period is T = (8/5)*pi

knowing that sin(0) = sin(2*pi)

Then we must have:

sin(0) = sin(w*0) = sin(w*( 0 +  (8/5)*pi)) = sin(2*pi)

Then the arguments of the third and fourt parts must be the same, thus:

w*(8/5)*pi = 2*pi

We can solve this for w now:

w*(8/5) = 2

w = 2*(5/8) = (5/4)

Then the function is:

f(x) = 5*sin( (5/4)*x) + 2

8 Mangoes = 30 bananas
5 banana= 2 oranges
15 oranges=? mangoes​

Answers

Answer:

it would only be 8, unless you need to go down to the decimal point then it would be 8.25

Step-by-step explanation:

it would be 8 because if you need to find how many bananas you have, to do this you would divide 15 by 2 and get 7.5 then you multiply those by 5 to get the number of bananas which would be 37.5, and then if 8 mangos = 30 bananas you only have 8 mangos.

(sorry if this is very jumbled and hard to understand, also getting brainliest would help, thank you)

What is the volume of this?

Answers

1832.18, sorry if im wrong

Answer:

1,832.4

Step-by-step explanation:

To find the base you multiply the radius by itself to pi. Then you multiply that by the height. The next step would be to divide that by 3.

135°
Solve for <2.
62 = [?]
45°
&2
86°
Enter

Answers

Answer:

[tex] \displaystyle \angle2 = {49}^{ \circ} [/tex]

Step-by-step explanation:

remember that,

if a side of a triangle is extended then exterior angle so formed equal to the sum of the two opposite interior angles

thus our equation is

[tex] \displaystyle \angle2 + {86}^{ \circ} = {135}^{ \circ} [/tex]

cancel out 86° from both sides:

[tex] \displaystyle \angle2 = {49}^{ \circ} [/tex]

hence,

the measure of the missing angle is 49°

Answer:

Solution given'

<2+45+86=180°[sum of interior angle of a triangle]

<2=180-131

<2=49°

I will be giving brainliest whoever answers these

Answers

Answer:

3, 5, 1, -1, 5, -1, -1, 5

Step-by-step explanation:

Because it is I am tired sorry

PLEASE HELP,I WIL GIVE BRAINLIEST.
A rectangular garden has a width of 20 ft and an area of 300 ft. What is the perimeter of the figure?

Answers

Answer:

70 ft

Step-by-step explanation:

300/20 = 15

20x2=40

15x2=30

40+30=70

Answer:

70 ft

Step-by-step explanation:

20 + 20 + 15 + 15

If the door to the library is at (2, 4), the door to the mall is at (8, 2), and one square unit equals one square mile, the approximate distance between the library and the mall is miles, when measured door to door.

Please help best answer will get brainly

Answers

Answer:

https://ihomeworkhelpers.com/mathematics/question512843765

Step-by-step explanation:

MRK ME BRAINLIEST PLZZZZZZZZZZZZZZ

that link is not fake its is a homework helper site if it doesn't works let me know

Answer: 126.66 m²

Step-by-step explanation: The pertinent area formula is a = πr², where r is the radius.  here, a = π(6.35 m)² = 40.32π, or approximately 126.66 m²

Suppose that a population parameter is 0.7 and many samples are taken from the population. If the size of each sample is 100, what is the standard error of the distribution of sample proportions?

Answers

Answer: .046

Step-by-step explanation: I just had this question

The statement : "for a sample size of n = 26 and a population parameter of  p = 0.6, a normal curve can be used to approximate the sampling distribution" is true.

What is normal curve?

Normal curve is used to represent the class shapes in the statistical probability. Mathematically, we can describe the normal curve as -

[tex]$f(x)= {\frac{1}{\sigma\sqrt{2\pi}}}e^{- {\frac {1}{2}} (\frac {x-\mu}{\sigma})^2}[/tex]

where -

f(x) = probability density function

σ = standard deviation

μ = mean

Given is that for a sample size of n = 26 and a population parameter of

p = 0.6, a normal curve can be used to approximate the sampling

distribution.

It is asked to identify whether the given statement regarding the normal curve is true or false. The given statement is - "for a sample size of n = 26 and a population parameter of  p = 0.6, a normal curve can be used to approximate the sampling distribution". The given statement is true.

Therefore, the statement : "for a sample size of n = 26 and a population parameter of  p = 0.6, a normal curve can be used to approximate the sampling distribution" is true.

To solve more questions on normal curves, visit the link below-

https://brainly.com/question/24201610

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what is the x intercept of the graph of y=4x-36

Answers

Answer:

36

Step-by-step explanation:

My explanation to this is that if you look at the problem it will show you 36.

Answer:

9

Step-by-step explanation:

To find the x-intercept, set y = 0

0 = 4x-36

Add 36 to both sides:

0+36 = 4x-36+36

36 = 4x

Divide by 4 on both sides:

36/4 = 4x/4

9 = x

The x-intercept is 9

What is the area of a circle with a radius of 13 millimeters? (use 3.14 for pi)

Answers

Answer: Approximately 530.66 square millimeters

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

Work Shown:

A = pi*r^2

A = 3.14*13^2

A = 3.14*169

A = 530.66 square millimeters

We can abbreviate "square millimeters" into "square mm" or into "mm^2".

This value is approximate because pi = 3.14 is approximate.

Can someone help me please because I really don’t understand

Answers

Answer:

All skelts have at least one right angle.

Step-by-step explanation:

All skelts have 5 sides. (false, one have 6 sides)

All skelts are convex figures = outline curved like the exterior of a circle (false, none of them have curvy outline like a circle)

All skelts have an odd number of sides. (false, one have 6 sides, which is an even number)

Plz help me well mark brainliest if correct!....

Answers

Its B! They have to multiply to get 96 and b is the only one that also adds to get 40

Twenty times the square of a non-zero number is equal to 20 times the number. ​

Answers

Answer:

the number could be 0 or 1

Step-by-step explanation:

20x² - 20x = 0

20x(x - 1) = 0

20x = 0

x = 0

x-1 = 0

x = 1

Emily is painting every side of the door to her bedroom. The door is a rectangular prism with a length of 35 in, a width of 3 inches and a height of 65 inches.

What is the total amount of space that Emily will cover with paint?

1. 5,150 square inches
2. 6,096 square inches
3. 6,852 square inches
4. 8,002 square inches​

Answers

either 1 or 3

explanation :

FIRST PERSON TO ANSWER CORRECTLY GET MARKED BRAINLY

Answers

Answer:

[tex]-\frac{14}{25}[/tex]

Step-by-step explanation:

I took the test. (iready)

Answer: HURRY I need it quick and will give Brainliest Which value of x satisfies the equation StartFraction 12 over StartRoot x plus 2 EndRoot EndFraction plus 8 equals 10?

Answers

Answer:

D

Step-by-step explanation:

24427 correct to the nearest 1000

Answers

2400 I think that’s what the questions asking

Answer:

24427 correct to the nearest 1000? 24000.

Step-by-step explanation:

So 24000 is your answer.

Who’s can help me with this, it is to hard

Answers

Answer:

x = 10

MB = 16

CM = 16

CB = 32

Step-by-step explanation:

Since it's the mispoint

2x - 4 = x + 6

Subtract x from both sides

x - 4 = 6

Add 4 to both sides

x = 10

MB = 2x - 4

MB = 20 - 4

MB = 16

CM = x + 6

CM = 16

CB = 16 + 16

CB = 32

which statement abou y= 7x2 + 23x + 6 is true

Answers

Answer: The axis of symmetry is

X = -23/14 and the maximum and minimum value is (-23/14, -361/28)

Step-by-step explanation: I can’t help you further than that unless you show me the options

Mark me as brainliest

Which temperature is lower
a)-9°C or -10°C​

Answers

-10°C is lower than -9°C

Step-by-step explanation:

-10°C is lower than -9°C

The more the temperature increase the more heat increases

Thus, -10°C is lower than -9°C

-TheUnknownScientist

Answer:

Step-by-step explana

-10

The length of the base of an isosceles triangle is 8 yards. The height of the triangle is 11 yards. Find the area of the triangle.

Answers

The answer would be 44 because you can do 8*11=88 and then divid that be 2

Answer:

A=44yd²

Step-by-step explanation:

Please help I don’t understand this

Answers

The closed circle means the inequality is greater than or equal to (≥) or less than or equal to (≤)
An open circle means the inequality is greater than (>) or less than (<)

Since the arrow is pointing to the left towards increasingly lesser numbers, any “x” value will be at the beginning number of 2 or some value less than 2.
Answer: x≤2

How much elastic energy is stored in a slingshot that has a spring constant of 300 N/m and is stretched by 0.45m?

Answers

Answer:

135

Step-by-step explanation:

In the first week of​ July, a record 1,020 people went to the local swimming pool. In the second​ week, 125 fewer people went to the pool than in the first week. In the third​ week, 145 more people went to the pool than in the second week. In the fourth​ week, 224 fewer people went to the pool than in the third week. What is the percent decrease in the number of people who went to the pool over these four​ weeks?

Answers

Answer:

The percent decrease in the number of people who went to the pool over these four​ weeks was of 20%.

Step-by-step explanation:

Percent decrease:

The percent decrease is the decrease multiplied by 100 and divided by the initial value.

Decrease was of:

Second week: - 125

Third week: - 125 + 145

Fourth week: -125 + 145 - 224 = -204

Decrease was of 204.

Percent decrease:

Initially 1,020, then a decrease of 204. So

204*100%/1020 = 20%

The percent decrease in the number of people who went to the pool over these four​ weeks was of 20%.

Answer: 20%

Step-by-step explanation: jst trust me im gang frl nd i wont get it wrong i promi

4. Find Percent Change:
Original Price $50
New Price $60

Answers

Answer:

20% change

Step-by-step explanation:

20 percent of 50 is 10. 50+10=60.

  Brainliest please?

                                          XxRoadToAcexX

A circle has a diameter of 6 inches.
Show your work to find the following (use
3.14 for pi):
A) Area of the circle
B) Circumference of the circle

Answers

Step-by-step explanation:

to find area

A=Pi x r^2

r = d/2 = 6/2 = 5

to find circumference

u=2 pi r

r=5

Last year, Deshaun had $10,000 to invest. He invested some of it in an account that paid 8% simple interest per year, and
he invested the rest in an account that paid 6% simple interest per year. After one year, he received a total of $660 in
Interest. How much did he invest in each account?
Note that the ALEKS graphing calculator can be used to make computations easier.

Answers

Answer:

4

Step-by-step explanation:

Find the code word by completing the maze below. To complete the maze you must determine what type of triangle is formed by the given set of dimensions. There are letters in each box that will form the code word you need to unlock puzzle one. The letters will go in order to form the word. MI 4,7,9 Obtusa 5,5,5 obtusa 9.12,15 Acute 12, 16,20 BEGIN Right Acute Right Obtuse N S Acute Right 7, 12, 18 P Acute 15,20,25 1,3,5 6,8,10 Acute Jobtuse Obtuse Right Right 21,28,35 Right P 30, 40, 50 Acute 6, 12,18 12,18,31 Obtuse Obtuse Obtuse Obtuse 3,4,5 Right 2,2,2 Acute 12, 16,20 Right FINISH Code:​

Answers

Answer:

Inspiring

I hope this helps



y=−8x−3
x+y=7


Is (3,4) a solution of the system?

Answers

Answer:

No

Step-by-step explanation:

The given point does not satisfy the first equation.

 y = -8(3) -3 = -27

 4 ≠ -27 . . . . . the first equation is not satisfied.

Answer: No

Step-by-step explanation:

Plug x and y into y=-8x-3 and calculate:

4 = -24 - 3

4 ≠ 27

Therefore (3,4) is not a solution of the system of equations.

peter weighs is 105 kg he wants to lose 500 g per week how many weeks will it take for him to have a mass of 90 kg ?

Answers

Answer:

it will take him 30 weeks

Step-by-step explanation:

2 weeks = 1 kilogram lost

105-90=15

1 x 15 = 15

2 x 15 = 30

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