How many 1/4 inch cubes does it take to fill a box with width 1 inches, length 3 3/4 inches and height 1 1/2inches?

Answers

Answer 1

Step-by-step explanation:

we need to see how many cubes fit into every dimension.

we can fit 4 cubes along the 1 in width. as 4×1/4 = 1 in.

we can fit 15 cubes along the 3 3/4 in length :

3 3/4 = 12/4 + 3/4 = 15/4

15/4 / 1/4 = 15/4 × 4/1 = 4×15 / 4×1 = 15

we can put 6 cubes on top of each other fit the height of 1 1/2 in

1 1/2 = 2/2 + 1/2 = 3/2 = 6/4

6/4 / 1/4 = ... = 6 (as above - simply 1/4 fits 6 times into 6/4).

so, we have

4 × 15 × 6 = 360

we need 360 cubes to fill the box.


Related Questions

What is the slope of the line tangent to the graph of y = (9x^2)/(x+2) at x = 1 ?

Answers

Using derivatives, it is found that the slope of the line tangent to the graph of y at x = 1 is of 5.

The equation is:

[tex]y(x) = \frac{9x^2}{x + 2}[/tex]

The slope of the line tangent to the graph of y at x = 1 is [tex]y^{\prime}(1)[/tex].

Applying the quotient rule, we have that:

[tex]y^{\prime}(x) = \frac{[9x^2]^{\prime}(x + 2) - [x + 2]^{\prime}(9x^2)}{(x + 2)^2}[/tex]

[tex]y^{\prime}(x) = \frac{18x(x + 2) - 9x^2}{(x + 2)^2}[/tex]

[tex]y^{\prime}(x) = \frac{9x^2 + 36x}{(x + 2)^2}[/tex]

Then, when x = 1:

[tex]y^{\prime}(1) = \frac{9(1)^2 + 36(1)}{(1 + 2)^2} = \frac{45}{9} = 5[/tex]

The slope of the line tangent to the graph of y at x = 1 is of 5.

You can learn more about the use of derivatives to find the slope of a tangent line at https://brainly.com/question/10580177

pls help!ill give brainlest to the smartest!

Answers

This should help you

CAN SOMEONE ANSWER THIS!!!!!!!!

Answers

Answer:

Step-by-step explanation:

2 now help me :(

Estimate 47 divided by 1/2

Answers

Answer : 94

Step by Step :

47/0.5=94

pythagorean theorem to find the length of the hypotenuse in the triangle 16 30

Answers

Answer:

the answer is 34.

Step-by-step explanation:

1/2x-3 + 5x/2x+6 = 2, Solve for x​

Answers

Answer:

1/2x-3 + 5x/2x+6 = 2

1/2x-3 + 5/2+6 = 2

1/2x-3 + 2.5+6 = 2

1/2x + 5.5 = 2

1/2x = 2-5.5

1/2x = 3.5

1 = -3.5 × 2x

1 = -7x

x = -1/7

hope it helps :)

What is the square root of -2x^2

Answers

Answer:

-2x

Step-by-step explanation:

the answer for the question is -2x

Find the area of the circle whose diameter is 68 cm​

Answers

Answer:

1156πcm²

Step-by-step explanation:

Diameter = 68cm

Therefore radius = 68 ÷ 2 = 34cm

Area of a circle = πr²

= π × 34cm × 34cm

= π × 1156cm

= 1156πcm²

NOTE: In case you're given the value of pi, substitute it into the formula to get your answer

6 wholes and 1/3 converted into decimal?

Answers

Answer:

6 is a whole number.

[tex]\frac{1}{3}[/tex] is approximately equal to 0.333, but this is a repeating decimal.

Can anyone help me with the first question? It’s for my study guide I would really appreciate it

Answers

The answer would be Quadratic

Find the volume
of the rectangular prism.
3 m
7 m
4 m

Answers

Answer:

The volume is 63m³

Step-by-step explanation:

Multiply all sides together so 4 x 7 is 21, 21 x 3 is 63.

l•w•h= 4•7•3 = 84. good luck

Write the slope intercept equation of the line that passes through (2,5) and (-1,3)​

Answers

Answer:

y=2/3x+11/3

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(3-5)/(-1-2)

m=-2/-3

m=2/3

y-y1=m(x-x1)

y-5=2/3(x-2)

y=2/3x-4/3+5

y=2/3x-4/3+15/3

y=2/3x+11/3

What is the image of (−4,−7) after a reflection over the x-axis?

Answers

Answer:

go left for times and go down 7 .

Step-by-step explanation:

Answer:

(-4,7)

Step-by-step explanation:

I hope this helps :)

Jill and Tim have the same number of toy cars. Tim has 10 red cars and 20 blue cars. Jill has 8 red cars, 15 blue cars, and some yellow cars. How many yellow cars does Jill have?​

Answers

Answer:

7 yellow cars

Step-by-step explanation:

Tim has 30 cars, so Jill has 30 as well. She has 8+15=23 red and blue cars. This means that there are 7 yellow cars.

Show work on the graph pls help I’ll brainlest ASAP

Answers

Answer:

Slope (known as m) = -3/2; Y-int (known as b) = 3

Step-by-step explanation:

m = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

m = [tex]\frac{{0}-{3}}{{2}-{0}}[/tex]

m = [tex]\frac{-3}{2}[/tex]

b = [tex]3[/tex]

Select Is a Function or is not a Function to correctly classily each relation
Is a Function
is not a Function
{(2, 2), (4,4), (6, 6), (8, 8)}
{(0,3), (3,5), (5, 6), (8, 4);
118
{(1, 2, (3, 3), (4, 8), (6,3)}
02
{(3, 4), (5,2), (5, 6), (7,3)}

Answers

Answer:

1: NOT A FUNCTIN

Step-by-step explanation:

The amount of money, y, pizzeria J makes by
selling x pizzas can be modeled by the equation
y = 14x. The relationship of the amount of money
pizzeria W makes is shown in the following graph.
Which pizzeria makes more money per pizza?

Answers

Answer:

Pizzeria J

Step-by-step explanation:

Pizzeria J makes

y = 14x

Let x = 1, for 1 pizza. Then,

y = 14 × 1

y = 14

At pizzeria J, 1 pizza costs $14.

In the equation y = 14x, the slope, 14, is the cost per pizza.

Now we find the slope of the graph for pizzeria W.

The x-axis is the number of pizzas.

For x = 1, y = 11.

The slope is 11, so the price per pizza is $11.

Answer: Pizzeria J

11. A bank teller has a total of 124 bills in five-dollar bills and ten-dollar bills. The total value of the
money is $840. How many ten-dollar bills does she have

Answers

Answer:

44 ten-dollar bills

Step-by-step explanation:

Assume that all 124 bills are ten-dollar bills,

124 x $10 = $1240

Total Value of Money : $840

$1240 - $840 = $400

There are $400 worth of five-dollar bills,

$400 / 5 = 80 (The number of five-dollar bills)

Therfore the number of ten-dollar bills,

124 - 80 = 44

Let's check:

44 x $10 = $440

80 x $5 = $400

Total = $440 + $400

        = $840

Solve for g. Make sure to use scrap paper to show your work.

( 144 + 6 x 8 ) ÷ 3 = g

192
64
48

Answers

the answer is 64 multiplication can be done with calculator or normal

Question
Evelyn placed $1500 in a savings account which earns 5.2% interest, compounded continuously,
How much will she have in the account after 8 years?
Round your answer to the nearest dollar
DO NOT round until you have calculated the final answer.

Answers

Answer:

Step-by-step explanation:

So the final answer is $2274.


How many pounds of reindeer food can Santa buy for $12 if he can buy 28
pounds for $35?

Answers

Answer:

14 Pounds

Step-by-step explanation:

35 / 12 = 2.9167

being as we all know you cant go over two because it is dealing with money, we know that he can buy half of 28 pounds. Which is 14.

Estimate the distance you can travel in 3 hours 20 minutes if you drive on average 49 miles per hour. Round your answer to the nearest mile.

Answers

Answer:

163 miles

Step-by-step explanation:

set up a ratio based on 49 miles in 1 hour (60 minutes):

let 'd' = distance in 3hrs, 20 min

3hrs, 20 min = 200 minutes

49/60 = d/200

cross-multiply:

60d = 9800

d = 163.3

The distance you can travel in 3 hours 20 minutes if you drive on average 49 miles per hour will be 163.33 miles.

What is speed?

The distance covered by the particle or the body in an hour is called speed. It is a scalar quantity. It is the ratio of distance to time.

We know that the speed formula

Speed = Distance/Time

The speed of the vehicle is 49 miles per hour. And the time is 3 hours 20 minutes.

Convert the time completely hours. Then we have

T = 3 + 20/60

T = 3.33 hours

The distance you can travel in 3 hours 20 minutes if you drive on average 49 miles per hour will be

D = 49 x 3.33

D = 163.33 miles

The distance you can travel in 3 hours 20 minutes if you drive on average 49 miles per hour will be 163.33 miles.

More about the speed link is given below.

https://brainly.com/question/7359669

#SPJ2

Simplify (4.5)(5)(−2). (1 point)

Answers

Answer:

(4.5)(5)(−2) = (-9) × 5

= -45

Answer:

-45

Step-by-step explanation:

[tex](4.5)(5)(-2)\\\\22.5(-2)\\\\-45[/tex]

what is the value of f(-8) in f(x)=-3x-9

Answers

The value will be .......15.......

f(x) = -3x - 9

Now, substitute -8 in the place of x.

f(x) = -3x - 9

f(-8) = - 3(-8) - 9

f(-8) = 24 - 9

f(-8) = 15

______

Hope it helps ⚜

find the x and y intercepts of the following linear function and draw the graph: 2x-8y=-18

Answers

Answer:

Step-by-step explanation:

2x - 8y = - 18

    - 8y = - 2x - 18

         y = ¼x + 2¼

y intercept occurs when x = 0, so b = 2¼  (0, 2¼)

x intercept occurs when y = 0

0 = ¼x + 2¼

¼x = - 2¼

  x = -9     (-9, 0)  

Use the slope formula to determine the slope of the line containing the two points (4,-8) and (-1,-2)

Answers

the slope is 6/-5

subtracting the y values gives you -2-(-8)=6

subtracting the x values gives you -1-4= -5

Given:-

Two points (4,-8) and (-1,-2) .

To find :-

The slope of the line through these points .

Solution :-

As we know that the slope is ,

[tex]\longrightarrow\sf Slope = y_2-y_1/x_2-x_1[/tex]

Substitute the values ,

[tex]\longrightarrow[/tex] Slope = -8 -(-2) / 4 -(-1)

[tex]\longrightarrow[/tex] Slope = -8 +2/4 + 1

[tex]\longrightarrow[/tex] Slope = 6/5

Hence the slope of the line is 6/5 .

Can someone please help me I will mark u brilliant

Answers

Answer for the first question: There are 13 pieces of pie left.

Step-by-step explanation: So there are 3 pieces of apple pie left, there are 4 pieces of cherry pie left, and there are 6 pieces of pumpkin pie left. 3 + 4 + 6 = 13.

3/8 = 3 pieces because each fraction in this one equals one piece. So the numerator is how many left.

1/2= 4 because you just divide 8 by 2.

3/4 = 2 because you can multiply the fraction by 2 and get 6/8. Then the numerator is how many that's left.

Therefore, there are 13 pieces of pie left.

1. First, let's have the pieces have the same denominator: 8!

3/8 is already fine

1/2 = 4/8

3/4 = 6/8

Now add up the numerators: 13 pieces were eaten.

Since there are 3 pies, there's 24 pieces total

24 - 13 = 11

11 pieces are left over

2. First, 3/4 x 6 = 4.5

1 1/2 x 5 = 7.5

4.5 + 7.5 = 12

-5 + 12 = 7

At 5:00 pm, it was 7 degrees.

Hope this helps!

What is the value -3/5 + (-0.75) +4 7/10
Enter your answer in the box.

Answers

Answer:

67/20 as an improper fraction, 3 7/20 as a mixed number and, 3.35 as a decimal

Hope this helped :)

Step-by-step explanation:

40% of athletes have tattoos and get into fights with other athletes. 50% of athletes get into fights with other athletes. What is the probability that an athlete that is getting into a fight has a tattoo

Answers

The probability that an athlete that is getting into a fight has a tattoo is 0.80

Let the events be represented as:

Event A : get into a fightEvent B: has a tattoo

So, the probabilities are given as:

[tex]P(A\ n\ B) = 40\%[/tex]

[tex]P(A) = 50\%[/tex]

The probability that an athlete that is getting into a fight has a tattoo is represented as: P(B | A)

So, we have:

[tex]P(B | A) = \frac{P(A\ n\ B)}{P(A)}[/tex]

Substitute known values

[tex]P(B | A) = \frac{40\%}{50\%}[/tex]

Cancel out the percentages

[tex]P(B | A) = \frac{40}{50}[/tex]

Divide 40 by 50

[tex]P(B | A) = 0.80[/tex]

Hence, the probability that an athlete that is getting into a fight has a tattoo is 0.80

Read more about probabilities at:

https://brainly.com/question/251701

Pencils can be purchased in packages of 12 or 25. If Karl purchased 8 packages to get 135 pencils, how many packages of 12 did he buy?

Answers

Answer: 60

Step-by-step explanation:

list all of the multiples and choose the least common number

10:   10  20  30  40  50  60  70  80  90  100

12:   12  24  36  48  60  72  84  96

find a number that shares all the prime factors of the two numbers

prime factors of 10: 2, 5

prime factors or 12: 2, 2, 3

LCM = 60

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