Math math math :D


Please help me!

Answer:

1) L = 54", W = 6", H = 9"

2) Extra Space = 1389.96 in³

Step-by-step explanation:

1)

LENGTH:

Since, there will be 18 balls along the length of box. Therefore,

Length = L = (18 balls)(Diameter of 1 ball) = (18)(3'')

L = 54"

WIDTH:

Since, there will be 2 rows of cans, and hence, 2 balls along the width of box. Therefore,

Width = W = (2 balls)(Diameter of 1 ball) = (2)(3'')

W = 6"

HEIGHT:

Since, each can can hold 3 balls along the height of box. Therefore,

Height = H = (3 balls)(Diameter of 1 ball) = (3)(3'')

H = 9"

2)

First we calculate the total volume of box:

Total Volume = L*W*H = (54")(6")(9") = 2916 in³

Now, we calculate volume of one ball:

Volume of 1 Ball = (4/3)π(d/2)³ = (4/3)π(3"/2)³ = 14.13 in³

Now, we calculate the total number of balls in box:

No. of Balls = (Balls along length)(Balls along width)(Balls along height)

No. of Balls = (18)(2)(3) = 108 balls

Now, we calculate the total volume of box occupied by balls:

Total Volume occupied by Balls = (No. of balls)(Volume of 1 Ball)

Total Volume occupied by Balls = (108)(14.13 in³)

Total Volume occupied by Balls = 1526.04 in³

Hence, the extra space will be:

Extra Space = Total Volume of Box - Total Volume Occupied by Balls

Extra Space = 2916 in³ - 1526.04 in³

Extra Space = 1389.96 in³

Answer:

pre-existing cells

Step-by-step explanation:

Answer:

D. pre-existing cells

Step-by-step explanation:

According to the cell theory all living cells arise from pre-existing cells by division. The cell is the fundamental unit of structure and function in all living organisms. I hope this helps!

Answer:

Step-by-step explanation:

The answer is simple

18 - 1 = 17

Answer:

18<b

Step-by-step explanation:

b can repersent any number and you can use any letter in replace of b.

Hope this helps!

Answer:

70.2

Step-by-step explanation:

Anwhat wht

Step-by-step explanation:

ithinkithink ok sure

Answer:

A rewards customer earns 2 free ounces of yogurt because the total amount paid for 10 ounces and 12 ounces is the same.

did the test on edge

Answer:

1/225

Step-by-step explanation:

A) 1st one

B) 2nd one

C) and im too lazy to do c

Answer:

6 x 10^-6 is a greater value

2 x 10^-8 is the lesser value

I'm not sure about the third one

Answer:

2 = 67

3 = 113

4 = 67

5 = 113

6 = 67

7 = 113

8 = 67

Step-by-step explanation:

opposite angle have to equal 180 because if you combine them they just become the line.

since the lines are parallel, measurements will be the same for the bottom set of angles as they are the top set of angles.

Answer:

14

Step-by-step explanation:

Answer:

150 students

Step-by-step explanation:

30%+60%=90%

15=10%

multiply by 100 on both sides then simplify

Answer:

x^4+x³+7x²-6x+1

Step-by-step explanation:

(x²+2x+8)(x²-x+1)

distribute

x²(x²-x+1)

x^4-x³+x²

2x(x²-x+1)

2x³-2x²+2x

8(x²-x+1)

8x²-8x+1

x^4-x³+x²+2x³-2x²+2x+8x²-8x+1

combine like terms

x^4+x³+7x²-6x+1

Answer:

73 degrees

Step-by-step explanation:

The interior angle equals to 180. 73+37+ m<2 = 180. That means angle 2 is 70 degrees.

m<1 and m<C and equal due to alternate interior angles. That means angle 1 is 37 degrees.

We know angles 1 and 2 equal to 37 and 73. That means the angles are equal to the interior triangle. 70+37= 107.      180-107= 73 Degrees

Answer:

B.

[tex](x + 2) ^{3} - 9 [/tex]

Answer:

(negative infinity, 4]

Step-by-step explanation:

Reminder: the range is all the possible y values the function can get by plugging in x values.

Since this is a downward opening parabola, it won't have a lower boundary, which means that the answer must be (negative infinity, 4]

We can further check that's correct by seeing that the parabola has its vertex at 4, which is written in the answer.

That means the correct answer must be (negative infinity, 4]

Answer:

A

Step-by-step explanation:

the reason for this equations answer to be A is because if you take the inches in one mile 63,360 and multiple it by the miles that it takes to get the school 12.8 you'll get 811,008.  

Answer:

-2/6

Step-by-step explanation:

Answer:

x = 1/5

Step-by-step explanation:

Step 1: Write equation

-5x - (-7 - 4x) = -2(3x - 4)

Step 2: Solve for x

Step 3: Check

Plug in x to verify it's a solution.

-5(1/5) - (-7 - 4(1/5)) = -2(3(1/5) - 4)

-1 - (-7 - 4/5) = -2(3/5 - 4)

-1 - (-39/5) = -2(-17/5)

-1 + 39/5 = 34/5

34/5 = 34/5

Answer:

The sum of 3 consecutive integers is 13 more than twice the smallest integer. Find the integer.

x + (x+1) + (x+2) = 2x + 13

3x + 3 = 2x + 13:

3x - 2x = 13 - 3

x = 10 is the smallest integer:

Check: 10 + 11 + 12 = 2(10) + 13

The integers will be equal to 10, 11, and 12 respectively.

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

The sum of 3 consecutive integers is 13 more than twice the smallest integer. The integer will be calculated as below:-

x + (x+1) + (x+2) = 2x + 13

3x + 3 = 2x + 13:

3x - 2x = 13 - 3

x = 10 is the smallest integer:

Check: 10 + 11 + 12 = 2(10) + 13 = 33

Therefore, the integers will be equal to 10, 11, and 12 respectively.

To know more about Expression follow

https://brainly.com/question/723406

#SPJ2

Answer:

Step-by-step explanation:

you could do;

10 x -2 = 20

-2 x (-2) x 10 divided by (-2) + 10 + 10 + 10 +10 =20

4 + 4 - 10 x -2 - 4 - 4 = 20

Answer:

Using Pyhagoras theoram,

(H)^2 = (B)^2 + (P)^2

B = 13 in

P = 5 in

[tex](h)^{2} = (13)^{2} + {(5)}^{2} \\ = > (h)^{2} = 169 + 25 \\ = > (h)^{2} = 194 \\ = > h = \sqrt{194} \\ = > h = 13.92[/tex]

Hence, the missing side is 13.92 inhes.

Answer:

13.93

Step-by-step explanation:

[tex]5^{2} + 13^{2} = c^{2}[/tex]

[tex]25 + 169 = 194 = c^{2}[/tex]

[tex]\sqrt{194} = c^{2}[/tex]

[tex]13.92838827718 = c[/tex]

then round up to 13.93

Answer:

720 gallons

Step-by-step explanation:

First, find how many gallons are cleaned per hour.

You can use a ratio:

36 gallons  =   x gallons

1/4 hour            1 hour

Cross multiply:

36 (1) = 1/4x

36 = 1/4x

(36 = 1/4x) (4/1)

144 = x

x = 144

Then, use this info to find how many gallons per 5 hours.

You can use a ratio:

144 gallons  =   y gallons

   1 hour              5 hour

Cross multiply:

144 (5) = 1y

720 = y

y = 720

There are 720 gallons cleaned per 5 hours.

Answer:

30°

Step-by-step explanation:

Step 1:

2x + 10 + 4x + 80 = 180     Sum of a line

Step 2:

6x + 90 = 180      Combine Like Terms

Step 3:

6x = 90     Subtract 90 on both sides

Answer:

x = 30°       Divide

Hope This Helps :)

Y=1/2x+1

The answer is

Answer:

[tex]y = -\frac{1}{5}x + 5[/tex]

Step-by-step explanation:

Given

[tex]5\ minutes = 4\ miles[/tex]

[tex]15\ minutes = 2\ miles[/tex]

Required

Determine the equation

y represents distance

x represents time

So, the given parameters can be modeled (x,y) as:

[tex](x_1,y_1) = (5,4)[/tex]

[tex](x_2,y_2) = (15,2)[/tex]

First, we need to determine the slope of the function.

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

[tex]m = \frac{2 - 4}{15 - 5}[/tex]

[tex]m = \frac{-2}{10}[/tex]

[tex]m = -\frac{1}{5}[/tex]

The equation can be determined using:

[tex]y - y_1 = m(x - x_1)[/tex]

Where

[tex]m = -\frac{1}{5}[/tex]

[tex](x_1,y_1) = (5,4)[/tex]

[tex]y - y_1 = m(x - x_1)[/tex]

becomes

[tex]y - 4 = \frac{-1}{5}(x - 5)[/tex]

Open bracket

[tex]y - 4 = -\frac{1}{5}x + 1[/tex]

Solve for y

[tex]y = -\frac{1}{5}x + 1 + 4[/tex]

[tex]y = -\frac{1}{5}x + 5[/tex]

Answer:

Step-by-step explanation:

[tex]y=\frac12(x+4)(x-2)\quad\implies\quad x_1=-4\,,\ \ x_2=2[/tex]

vertex is (p, q) where:

[tex]p=\dfrac{x_1+x_2}2=\dfrac{-4+2}2=\dfrac{-2}2=-1\\\\q=f(p)=\frac12(-1+4)(-1-2)=\frac12(3)(-3)=-\frac92=-4.5[/tex]

So the vertex is: (-1, -4.5)