A 48​-inch board is cut into two pieces. One piece is three times the length of the other. Find the length of the shorter piece. The shorter piece is ______
inches long.

Complete question:

A cube has a side length of 1/3 inch.It would take _ blocks with a side length of 1/6 inch to fill the cube.

B)It would take _ blocks with a side length of 1/9 inch to fill the cube.

Answer:

a) 8 blocks

b) 27 blocks

Step-by-step explanation:

Here we need to find the volume of the cube and volume of the block.

To find volume of the cube, let's use the formula :

V = a³

Here a = [tex] \frac{1}{3}[/tex]

Therefore,

V =  [tex] (\frac{1}{3})^3[/tex]

V = = [tex] \frac{1}{27}[/tex]

Volume of the cube is [tex] \frac{1}{27}[/tex]

To find volume of the block, let's use the formula:

V = a³

V = [tex] (\frac{1}{6})^3[/tex]

V = [tex] \frac{1}{216} [/tex]

To find the number of blocks, let's divide the volume of block from the volume of cube.

Therefore,

= [tex]\frac{\frac{1}{27}}{\frac{1}{216}}[/tex]

[tex] = \frac{1}{27} * 216 [/tex]

= 8

It would take 8 blocks with a side length of 1/6 inch to fill the cube.

B) Here we also need to find the volume of the cube and volume of the block.

To find volume of the cube, let's use the formula :

V = a³

Here a = [tex] \frac{1}{3}[/tex]

Therefore,

V =  [tex] (\frac{1}{3})^3[/tex]

V = = [tex] \frac{1}{27}[/tex]

Volume of the cube is [tex] \frac{1}{27}[/tex]

To find volume of the block, let's use the formula:

V = a³

V = [tex](\frac{1}{9})^3[/tex]

V = [tex] \frac{1}{729} [/tex]

To find the number of blocks, let's divide the volume of block from the volume of cube.

Therefore,

= [tex] \frac{\frac{1}{27}}{\frac{1}{729}}[/tex]

[tex] = \frac{1}{27} * 729 [/tex]

= 27

It would take 27 blocks with a side length of 1/9 inch to fill the cube.

Answer:

Mean: 35

Median: 31

Mode: 36.9 (If you round up), 36.8 (If you don't round up)

Step-by-step explanation:

Order the Data: 29, 30, 30, 31, 31, 35, 35, 35, 36

Mean: Average , sum all of your data and divided by how many scores are in your data. (From Math Notes I have)

332/9 = 36.9 (If you round up)

Median: Middle Score (From Math Notes I have)

In this case the Median is 31.

Mode: The score that up most (From Math Notes I have)

In this case the Mode is 35.

Answer: i will help you, but the picture isnt clear for me

Step-by-step explanation:

Answer:

5000 ≥ 2000 + 50a

Step-by-step explanation:

She wants to save at least $5000 for college. The saving account set up by her parents already contains $2000 . This means she has more $3000 to save to meet her minimum target. Each month she saves $50 into the account.

Let

number of month = a

The information can be expressed as follows

5000 ≥ 2000 + 50a

The savings will continue increasing every months because she always deposit $50 every month.

Using the expression

5000 ≥ 2000 + 50a

minus 2000 from both sides

3000 ≥ 50a

divide both sides by 50

3000/50 ≥ a

60 ≥ a

This means she needs at least 60 months to meet her savings/target.

Answer:

1/2(15)(50 + 30)

1/2(15)(80)

1/2(1200)

600m²

Step-by-step explanation:

Answer:

x=6y

Step-by-step explanation:

I think this is right, sorry if it is not

Answer: x + 3x = 11

Step-by-step explanation:

Two cities A and B

Both cities receive 11 inches of rainfall in total

Amount of Rainfall in inches received by city A = x

Amount of Rainfall in inches received by city B = 3x

Therefore given the details above, total rainfall is best expressed using the equation ;

Rainfall in city A + Rainfall in city B = 11 inches

x + 3x = 11

Answer:

126-49

168-

it will take more time so less under

so 168×126=21168

so 21168÷49=432

so 432 hours

Answer:

I don't know about you, but I would say the dog because it is the only relative object about the size and volume of the dog.

You can really do these yourself; there's no math here, just common sense.   A bicycle weights a lot more than a tomato, a pineapple or a pencil, so we go with the dog and answer

Answer: about 10 kilograms

Answer:

International - 984,200

Step-by-step explanation:

Nine hundred eighty four thousand and two hundred

Answer:

984,200

nine hundred eighty-four thousand two hundred

Step-by-step explanation:

remember that in numbers, you insert commas every three places(Place values)

Answer:

I believe its 990

Step-by-step explanation:

you would multiply 9 times 10 times 11 and it equals 990

Answer:

Step-by-step explanation:

This is a parallelogram

base = 11 in

Height = 9 in

Area of parallelogram = base * height

                                    = 11 * 9

                                    = 99 square inches

Answer:

[tex] \frac{88}{7} units[/tex]

Step-by-step explanation:

Circumference of semi-circle=

[tex]\pi \: r[/tex]

[tex] \frac{22}{7} \times 4 \\ \frac{88}{7} [/tex]

Answer:

Answer is 80

Step-by-step explanation:

PEMDAS (Parentheses - Exponents - Multiplication - Division - Addition - Subtraction)

Do (3+7) first which equals 10.

Your equation is then simply 8 x 10 which is 80.

Answer:72

Step-by-step explanation:

8 × (3+7) can be written as 8 (3+7)

Now,simplify

8 (3+7)

8 (10)

8×10

80 is the answer.

M = 3

....................

Answer:

m = 3

Step-by-step explanation:

10m = 10-5(m-7)

10m = -(5m-5×7)+10

10m = -(5m-35)+10

10m = -5m + 35 + 10

10m = -5m +45

15m = 45

15m/15 = 45/15

m = 3^2*5/3*5

m = 3^2-1

m = 3

Answer:

A rhombus and a square since a square is also a rhombus.

Answer:

10 ft

Step-by-step explanation:

1x10= 10

volume is found by multiplying length width and height together.

Brainliest is greatly appreciated

Answered by: Skylar

5/21/2020

1:44 PM (Eastern Time)

Answer:

Volume of a cylinder=πr²h

=3.14×(10)²×1

=3.14×100×1

=314×1

=314ft³

｡☆✼★ ━━━━━━━━━━━━━━  ☾  

Substitute the x and y values in:

p^2 + 3p - 5(2) = 0

p^2 + 3p - 10 = 0

Factorise this:

(p - 2)(p + 5)

p = 2

p = -5

Have A Nice Day ❤    

Stay Brainly! ヅ    

- Ally ✧    

｡☆✼★ ━━━━━━━━━━━━━━  ☾

Step-by-step explanation:

this is the answer bro or sis.

Answer:

because there is 180 degrees in a line. if 105 degrees is taken away from the line. then (180 - 105) is 75 degrees.

Answer:

k=3

Step-by-step explanation:

Since we know for a fact, thanks to it being given in your question, that the triangles are similar, that means the lengths are proportionate.

Secondly, you should notice a trend between both shapes. ΔPQRs sides are half of ΔDEFs.

With that in mind, we can conclude that for side K, it's half of 6, so 3! :D

Answer:

53,412 and 66,894

Step-by-step explanation:

In this question we have to assume the things

Let us assume

Bill randall be X

So, the Corrine Brown is X + 13,482  as the corrine brown received 13,482 more votes than the Bill Randall

And, the total number of votes is 120,306

Now the equation is

X + X + 13,482 = 120,306

2X + 13,482 = 120,306

2X = 106824

X = 53,412 i.e Bill randall

And, the corrine brown is

= 13,482 + 53,412

= 66,894

Answer:

Step-by-step explanation:

area =(4+4+4)/2×2+1/2×(4+4)×5.75

=12+23.00

=35 sq.cms.

Step-by-step explanation:

Area of triangle = [tex]\frac{1}{2}[/tex](b*h)

Area of rectangle = b*h

[tex]A(big-triangle) = \frac{1}{2} (5.75*4)[/tex]

[tex]A(big-triangle) = \frac{1}{2}(23)[/tex]

[tex]A(big-triangle) = 11.5[/tex]

Since there are two big triangles, then we can multiply 11.5 by 2.

11.5 * 2 = 23

[tex]A(small-triangle) = \frac{1}{2}(2*2)[/tex]

[tex]A(small-triangle) = \frac{1}{2} (4)[/tex]

[tex]A(small-triangle) = 2[/tex]

Since there are two small triangles, then we can multiply 2 by 2.

2 * 2 = 4

[tex]A(rectangle)= 4 * 2[/tex]

[tex]A(rectangle) = 8[/tex]

Now, we can add up all of the areas so we can find the total area of the entire shape.

23 + 4 + 8 = 35

So, the area of the entire shape is 35 square cm.

Answer:

the answer is 33/4

Step-by-step explanation:

11/2->22/4

11/4+22/4=33/4

Look at the attached picture

Hope it will help you

Answer:

$786

Step-by-step explanation:

50, 60, 72

find the difference between the first and second hour earnings to get 10.

get the difference of the second and third to get 12.

we realize that they are in increasing with even numbers from 10 going further, ie, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28....etc

to get the total earnings for the 24 hrs, you have to keep on adding the next even number till you reach the 24th hour

you will get $786.

Answer:

f(-1) = 1

Step-by-step explanation:

f(x) = .5(1-x)

Let x = -1

f(-1) = .5(1- -1)

     .5( 1+1)

    .5(2)

     1

Answer:

A,B,D

Step-by-step explanation:

I just took the quiz

Answer: We just did these problems in my math class today! Ok, so you need to find the lateral surface area, or the area of the faces/walls. The formula for triangles is

1/2 • base • height. Sub in the #s, it would be 1/2 • 6 • 12

1/2•72

36

So now we know the area of one of the faces is 36inches^2, we can multiply that by 4, which is 144. 144•3($)= $432. To sum things up, $432 is the cost to build the walls of the playhouse, and we are not adding in the base, because the base is not a face!

Step-by-step explanation: