1. A small box in the shape of a cube for packaging has a volume of 64 cubic inches.
(a) For a medium box, the length, width, and height are all doubled. What is the ratio of the sides, area of the bases, and volumes of the boxes? Show your work.
(b) What is the volume of a medium box? Show your work.

Answers

Answer 1

Answer:

b) the volume is 512"^3

a) the side and base ratio is 16/64 1/4

the volume ratio is 64/512 1/8

Step-by-step explanation:

the small boxes dimensions are 4 by 4 by 4

the base and sides are 16"^2

the volume is 64"^3

the medium boxes are 8 by 8 by 8

the base and sides are 64"^2

the volume is 512"^3

the side and base ratio is 16/64 1/4

the volume ratio is 64/512 1/8


Related Questions

EASY, PLEASE HELP, ASAP

Answers

Answer:

B. 50 feet

Step-by-step explanation:

6 times 2.5 is 15

so that means 20 also has to be multiplied by 2.5

which becomes 50

Answer: B. 50 feet

Step-by-step explanation:

      We can set up a proportion. x will be the length of the second rectangle, I will have width on the bottom (denominator) and length on the top (numerator). All units are in feet:

             [tex]\frac{20}{6} =\frac{x}{15}[/tex]

      Now we will cross multiply and solve for x:

             300 = 6x

             50 = x

             x = 50

             The length of the second triangle is B. 50 feet

Find the value of AB in the given figure.​

Answers

Answer:

AB = 6 cm

Step-by-step explanation:

[tex]In\:\triangle ABC,\:\angle B =90\degree...(Given)\\\\ side\: AB = side\: BC...(Given)\\\\\implies \angle BAC= \angle BCA= 45\degree\\\\\implies \triangle ABC\: is \: 45\degree-45\degree-90\degree \:\triangle\\\\\implies AB = \frac{1}{\sqrt 2} AC\\\\\implies AB = \frac{1}{\sqrt 2}\times 6\sqrt 2\\\\\implies AB = 6\: cm[/tex]

Which of the following statements about closure is NOT true?
Polynomials are closed under addition
Polynomials are closed under subtraction
Polynomials are closed under multiplication
Polynomials are closed under division

Answers

Answer:

Polynomials are closed under division is the answer.

Answer:

Polynomials are closed under division

Also:

were did you go man :(

I DONT UNDERSTAND Julio bought a backpack for 39$ and 2 belts for 17$ each the sales tax is 6%. How much did Julio spend for all items including tax??

A-$59.64 C-$77.38

B-$63.00 D-$89.01

Answers

Answer: C

Steps:

39+17+17=73

73x0.06=4.38

4.38+73=77.38

Add the sales tax to price without tax

Answer:

C. $77.38

Step-by-step explanation:

Items + tax = total

Items × .06 = tax

OR

Items × 1.06 = total

39 + 17 + 17 = 73

73 × .06 = 4.38

73 + 4.38 = 77.38

OR

73 × 1.06 = 77.38

d=22in cuál es la circunferencia

Answers

Answer:

If the diameter is 22 and the radius would be half of 22 so it would be 11

Jenni is eating a package of gummy bears. There are 4 red, 2 yellow and 3 green gummy bears left. What is the probability that she'll eat two yellows without looking in the bag. ​

Answers

Answer:

1/45

Step-by-step explanation:

Total = 10

Probaility of getting yellow: 2/10

Probbaility of getting yellow again: 1/9

2/10 * 1/9= 2/90 or 1/45

Please explain how you got to the answer. Brainly!!!!!

Answers

Answer:

11. 4

12. 2

13. 2

14. 2

15. 3

Step-by-step explanation:

Now that you already know how to find the degree of a monomial, we move to the degree of a polynomial. A polynomial is a sum of monomials. Each monomial that is part of a polynomial is called a term of the polynomial.

To find the degree of a polynomial, find the degree of each term of the polynomial. Then the highest degree of all the monomials is the degree of the polynomial.

11.

4x³y has degree 4

3x²y² has degree 4

-y³ has degree 3

The highets degree of all terms is 4, so the degree of the polynomial is 4.

12.

a has degree 1

b has degree 1

-c² has degree 2

The degree of the polynomial is 2.

13.

The degrees of the terms are, in order, 2, 2, 2.

The degree of the polynomial is 2.

14.

The degrees of the terms are, in order, 1, 2, 1.

The degree of the polynomial is 2.

15.

The degrees of the terms are, in order, 3, 2, 1.

The degree of the polynomial is 3.

John has expenses that total $4280 a month. He spends 22% on his mortgage for his home each month. How much of his total does he spend on his mortgage?

Answers

John spent 943.58$ on his mortgage for his home.

Solve this quadratic equation using the quadratic formula.

2x 2 - 2x = 1

Answers

[tex]x_{1} = \frac{1+\sqrt{3}}{2}[/tex] or [tex]x_{1} = \frac{1-\sqrt{3}}{2}[/tex]

i forgot how to do this

help

Answers

Answer:

62.8 in

Step-by-step explanation:

C=2πr

r=10in

C=2*π*10

C=20*3.14

62.8 in

I need help in this problem​

Answers

Answer:

Step-by-step explanation:

4x + 9y = 5

-4x + 7y = 11

Isolate y for 4x + 9y = 5

9y = 5-4x

y = (5-4x) / 9

Now plug it in this equation: -4x + 7y = 11

-4x + 7[(5-4x)/9] = 11

now just solve it.

-4x + (35 - 28x / 9) = 11

multiply both sides by 9

-36x + 35 - 28x = 99

-64x = 64

divide both sides by -64

x = 1

The corner store sells one of its magazines for $ 6. 75 including tax. On one weekend the store collected $ 114. 75nfrom the sale of this particular magazine. What expression can be used to find the number of magazines, n, sold by the store for that weekend?


6. 75÷114. 75=n

6. 75÷n = 114. 75

6. 75n=114. 75

6. 75 + n= 114. 75

Answers

Answer:

6. 75n=114. 75

Step-by-step explanation:

each magazine cost: $6.75 plus tax

and on weekend the store collected it sale total: $114.75?

=> 6.75n = 114.75 = 17 magazines sold

A segment 150 units long is divided into 3 parts in the ratio 2:3:5. How long is the shortest part? ​

Answers

150/10=15
15 x 2=30

Your answer is 30.

simplify
p^2+pq+3qr+3pr
with steps

Answers

Answer: (p+q)(p+3r)

Step-by-step explanation:
p²+pq+3qr+3pr

Do the grouping p²+pq+3qr+3pr=(p²+pq)+(3qr+3pr), and factor out p in the first and 3r in the second group.

p(p+q)+3r(p+q)

Factor out common term p+q by using distributive property.

(p+q)(p+3r)

In right triangle ABC, ∠B is a right angle and AB=72, BC=65, and AC=97.
What is the ratio of sinC?
Enter your answer as the fraction, in simplest terms, like this: 42/53

Answers

I don’t know but is the remain of in plus 8

Answer:72/97

Step-by-step explanation: took the test.

3x-6y=-12

x-2y=-8

Is it:

Inconsistent

Not enough information

Coincident

Consistent Independent

Answers

Answer:

  (a)  Inconsistent

Step-by-step explanation:

Two linear equations can be compared by putting both of them in standard form. Here, that means removing a common factor from the coefficients of the first equation.

  3x -6y = -12 . . . . given first equation

  x -2y = -4 . . . . . . divide by 3

Compare this to the second equation:

  x -2y = -8

The constants (-4, -8) are different, so there are no values of x and y that can satisfy both equations. The equations are described as inconsistent.

Answer:

Inconsistent

Step-by-step explanation:

Equation 1

3x - 6y = -12Divide throughout by 3 to simpliest formx - 2y = -4

Equation 2

x - 2y = -8

On comparison, it is seen that the slopes are same, but the y-intercepts are different.

This means this has no solution, or the graph is inconsistent.

Delia earns $10.50 per hour working at a restaurant. On Friday she spent 1 3/4 hours cleaning, 2 1/3 hours doing paperwork, and , 1 hours serving customers. What were Delia's earnings? A. $46.97 B. $47.25 C. $53.00 D. $57.75​

Answers

Delia will earn $57.75 so it’s D

A cylinder is inscribed in a right circular cone of height 5 and radius (at the base) equal to 6. What are the dimensions of such a cylinder which has maximum volume

Answers

Answer:

I dont know

Step-by-step explanation:

Which expression is equivalent to 3(2x+4y)-y? Show your work

A. 17xy
B. 6x+12
C. 3(6xy)-y
D. 6(x+2y)-y

Answers

Hey there!


3(2x + 4y) - y

= 3(2x + 4y) - 1y

= 3(2x) + 3(4y) - 1y

= 6x + 12y - 1y

= 6x + 11y


LETS TEST OPTION D. FOR YOUR RESULT…


Option D.
6(x + 2y) - y

= 6(1x + 2y) - 1y

= 6(1x) + 6(2y) - 1y

= 6x + 12y - 1y

= 6x + 11y


6x + 11y = 6x + 11y which makes this statement TRUE ☑️


Therefore, your answer is:

Option D. 6(x + 2y) - y


Good luck on your assignment & enjoy your day!


~Amphitrite1040:)

helpppp please please

Answers

Answer:

the answer is 51.315

Step-by-step explanation:

hope i was able to help you out

Which of the following are possible side lengths for a triangle

Answers

Answer:

B

Step-by-step explanation:

The two smallest sides of a triangle must be greater than the third, larger one.

A: 6 + 2 > 9

   8 > 9

   False

B: 5 + 7 > 8

   12 > 8

   True

C: 2 + 4 > 6

   6 > 6

   False

find x and y intercepts y=(2x+10)(x-2)

Answers

Step-by-step explanation:

[tex]y = (2x + 10)(x - 2)[/tex]

[tex]y = 2x(x - 2) + 10(x - 2)[/tex]

[tex]y = 2x ^{2} - 4x + 10x - 20[/tex]

[tex]y = 2x ^{2} + 6x - 20[/tex]

[tex]to \: find \: x \: intercept \: y = 0[/tex]

[tex]0 = 2x ^{2} + 6x - 20[/tex]

[tex]x = 2 \: or \: - 5[/tex]

[tex]to \: find \: y \: intercept \: x = 0[/tex]

[tex]y = 2(0)^{2} + 6(0) - 20[/tex]

[tex]y = - 20[/tex]

Answer:

y = -20

x- 2, -5

Step-by-step explanation:

If you flip, slide, and then spin the preimage of a shape in the coordinate plane, what sequence of transformations have you performed?
A. reflection, rotation, rotation
B. reflection, translation, reflection
C. reflection, translation, translation
D. reflection, translation, rotation

Answers

Answer:

D

-by-step explanation:

all other is incorrect

Triangle DEF contains right angle E. If angle D measures 50° and its opposite side measures 7.6 units, what is the measure of side DE? Round your answer to the nearest hundredth. 4.89 units 5.34 units 6.38 units 9.06 units

Answers

Answer:

It is 6.38 units!

Step-by-step explanation:

I took the test and it was correct.

The measure of the side length DE is 6.38 units after applying the tan ratio in the right-angle triangle option (C) 6.38 units is correct.

What is a right-angle triangle?

It is a triangle in which one of the angles is 90 degrees and the other two are sharp angles. The sides of a right-angled triangle are known as the hypotenuse, perpendicular, and base.

We have a right-angle triangle given:

Triangle DEF contains right angle E. If angle D measures 50° and its opposite side measures 7.6 units,

After drawing the triangle:

Applying the tan ratio in the right-angle triangle:

tan50 = EF/DE

tan50 = 7.6/DE

DE = 7.6/tan50

DE = 6.377 ≈ 6.38 units

Thus, the measure of the side length DE is 6.38 units after applying the tan ratio in the right-angle triangle option (C) 6.38 units is correct.

Learn more about the right-angle triangle here:

brainly.com/question/3770177

#SPJ5

win a brainliest for free by answering questions

Answers

- 1.25

There are 4 dived gaps in every number, so to find the value of one gap, divide 1 by 4 (0.25)

Answer: 1.2

Step-by-step explanation:

Please help with algebra


In how many ways could you choose 3 side dishes from a menu that offers 5 vegetable side dishes

and 3 starches if you want at least one vegetable and one starch?

Answers

Using the Fundamental Counting Theorem, it is found that there are 90 ways to choose the three side dishes.

What is the Fundamental Counting Theorem?

It is a theorem that states that if there are n things, each with [tex]n_1, n_2, \cdots, n_n[/tex] ways to be done, each thing independent of the other, the number of ways they can be done is:

[tex]N = n_1 \times n_2 \times \cdots \times n_n[/tex]

In this problem:

For the vegetable, there are 5 options, hence [tex]n_1 = 5[/tex].For the starch, there are 3 options, hence [tex]n_2 = 3[/tex].The remaining dish is free, which means that there are 5 + 3 - 2 = 6 options, hence [tex]n_3 = 6[/tex].

Then:

N = 5 x 3 x 6 = 90.

There are 90 ways to choose the three side dishes.

More can be learned about the Fundamental Counting Theorem at https://brainly.com/question/24314866

Estimate the perimeter and the area of the shaded figure.

A shaded composite figure is shown on a grid. The figure is made up of an isosceles triangle and an isosceles trapezoid. The triangle has a base of 6 units and height of 3 units. The trapezoid has a shorter base of 4 units, longer base of 6 units, and height of 3 units. The longer base of the trapezoid is aligned with the base of the triangle.

perimeter: about
units

area: about
square units

Answers

The shapes in the composite figures are a triangle and a trapezoid

The area of the figure is about 24 square units

The area of the figure

The dimensions of the figure are given as:

Triangle

Base = 6 unitsHeight = 3 units

Trapezoid

Shorter base = 4 unitsLonger base = 6 unitsHeight = 3 units

The longer base of the trapezoid and the base of the triangle are aligned.

So, the area is:

Area = Area of triangle + Area of trapezoid

This gives

Area = 0.5 * base * height + 0.5 * (sum of bases) * height

So, we have:

Area = 0.5 * 6 * 3  + 0.5 * (4 + 6) * 3

Evaluate

Area = 24

The figure is needed to determine the perimeter

Hence, the area of the figure is about 24 square units

Read more about composite figures at:

https://brainly.com/question/21135654

Answer:

47.3

Step-by-step explanation:

yes

Please help I will give
BRAINLY
5 STARS
and a THANKS

Answers

Answer:

1, 3, 5, 7

Step-by-step explanation:

the c stands for columns.

when c =1, there is 1 blue box. when c=2, there are 3 blue boxes, when c=3, there are 5 blue boxes....so on.

Answer:Day 26

Step-by-step explanation : just multiply the numbers

State the quadrant in which lies if secθ > 0
and cscθ < 0.
A) Quadrant I
B) Quadrant II
C) Quadrant III
D) Quadrant IV

Answers

Answer:

D

Step-by-step explanation:

secΘ > 0 in 1st and 4th quadrants

cscΘ < 0 in 2nd and 4th quadrants

then

secΘ > 0 and cscΘ < 0 in the 4th quadrant

In a pile of cards, there are four hearts, twelve clubs, and eight diamonds. How many times would we expect a diamond to be drawn in 300 trials?

Answers

The correct answer is c. 100.

Step-by-step explanation:

Number of cards in the given pile = 24

Total number of diamond cards in the pile = 8

Probability of picking up a diamond in a draw of card from the pile is given by .

There are supposed to be 300 trials.

Therefore number of times a diamond card is picked from the pile is given by 300 ×  = 100.

Out of 300 trials to pick a card, about 100 times we can expect to have picked up a diamond card from the pile.

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