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
Madison wants to bake 5 cakes for the church
festival. She needs 1 3/4 cups of flour and 2
1/2 cups of sugar for each cake. How much
sugar will she need for the 5 cakes?
Answer:She will need 12 and 1/2 cups of sugar
Step-by-step explanation:
Just set up a table and multiply 2 1/2 by 5 and you get 12 1/2
1. Armando started a new job as a mechanical engineer for a coal plant with an
annual salary of Php 200 000.00 in 2010. If she receives a Php 24 000.00 raise
each year, how much will her annual salary be in 2020?
Answer:
224,000
Step-by-step explanation:
annually she earns 200,000and a raise of 24,000 each year hence the sum of the two will get you an asnwer
Calculate the slope between the points (4,5) and (7,9).
a
m=-3/4
b
m=-4/3
С
m=4/3
m=3/4
Answer:
m = 4/3
Step-by-step explanation:
Slope of line is given by
m = (y2-y1)/(x2-x1)
where
(x1,y1) and (x2,y2) are the two points on coordinate plane.
__________________________________________
Given points
(4,5) and (7,9)
using the above formula to find slope and plugging in the given points value
we have,
slope m = (9-5)/(7-4)
m = 4/3
Thus, slope between the points (4,5) and (7,9) is m = 4/3. The third option.
I need help ASAP please
so the answer is....I think by putting the value 4 for X we get 5/11
4.
One endpoint of a segment has the coordinates (1,-2). The coordinates of the midpoint
are (5,-5). What are the coordinates of the other endpoint?
5.
Ray AC is in the interior of angle BAD. Write an equation using the Angle Addition
Postulate. If the measure of angle BAD = 52º and the measure of angle BAC = 2x - 3
and the measure of angle CAD = 7x + 1, what are the measures of angle BAC and
angle CAD?
Answer:
4. (9, -8)
(✿◠‿◠)
The sum of four consecutive integers is 298. What is the largest integer?
Answer:
largest number =76
Step-by-step explanation:
let the consecutive integers be x,x+1,x+2,x+3
x+x+1+x+2+x+3=298
4x+6=298
4x=298-6
4x=292
x=292/4=73
numbers are 73,74,75,76
Which of these values could be the slope of the line? Select two options.
–2
0
3
Answer:
3
Step-by-step explanation:
The slope is positive since it goes from the bottom left to top right so 3 is the only choice
Answer: 3
Step-by-step explanation:
The line is increasing (meaning it's pointing to the right), so that means the slope must be a positive value. When the slope is 0, the line is flat. When the slope is negative, it's decreasing (pointing to the left).
a unit rate is a rate in which the unit in the denominater is?
Answer: a unit rate is a rate with 1
Step-by-step explanation:
Find x.
(4x + 16)
(2x + 34)
A. X = 9
B. X= 52
C. X = 21.7
D. X = 25
Answer:
A. x=9
Step-by-step explanation:
4x+16=2x+34
-2x -2x
2x+16=34
-16 -16
2x=18
÷2 ÷2
x=9
what slope-intercept form equation represents the line?
Answer:
The slope of this line equals 2.
Hope this helps :)
Step-by-step explanation:
Selena is simplifying the expression (6 h Superscript 5 Baseline) squared. She wrote (6 h Superscript 5 Baseline) squared = box h Superscript 10.
What number should Selena put in the box?
Answer:
36 is the correct answer on edge
Step-by-step explanation:
(6h^5)^2 is our expression
1. Break it up:
6 x 6, h^5 x 2
2. Solve
36, h^10
therefore:
36h^10
Answer:
36
Step-by-step explanation:
For the fair, the organizers ordered 33 rolls of tickets. Each roll of tickets has 100 tickets. How many tickets were ordered in all?
Answer:
3,300
Step-by-step explanation: 100 times 33 equals 3,300
Answer:
3,300 tickets
Step-by-step explanation:
33 times 100 = 3,300
what is a quotient of 2.5.
Answer: The number 8 goes into 40 five times, resulting in a final quotient of 2.5.
Step-by-step explanation:
Answer:
Example, the number 8 goes into 20 2.5 times, resulting in a quotient of 2.5
Step-by-step explanation:
A painter charges a flat fee of $100 and $35 per hour (for up to 8 hours), h, that he spends painting. This relationship can be represented by the function f(h)=100+35h where f(h) represents the total amount the painter charges.
Answer:
I don't know
Step-by-step explanation:
But the question you asked i think you have add and stuff
Which best describes what forms in nuclear fusion?
a
one smaller, less stable nucleus
b
one larger, more stable nucleus
c
two larger, less stable nuclei
d
two smaller, more stable nuclei
Answer:
I guess Letter B. One Larger, More stable nucleus
It produces nearly all the elements that are heavier than helium..
Answer:
Answer A
Step-by-step explanation:
Edge 2021
Which number is less than -1.5?
A. -1
B. -1.5
C. - 1 1/3
D. - 1 2/3
please hurry!!!
Answer:
D -1 2/3 because 2/3 is greater than 1/2 and these numbers are negatives
p−1=5p+3p−8
Anyone help. Its due at 11:59 pm :( please help
Answer:
p = 1
Step-by-step explanation:
p - 1 = 5p + 3p - 8(collect like terms)
p - 1 = 8p - 8(add 1 on each side)
p = 8p - 7(subtract 8p on each side)
-7p = -7 (divide by -7)
p = 1
What is 29 multiplied by 84
Answer:
29 x 84 = 2436
Step-by-step explanation:
The width of a rectangle is 3 feet less than twice the length. Find the length if the
perimeter is 84
Answer:
Your width is 5 feet and your length is 7!!!!!
Step-by-step explanation:
MARK AS BRAINLIEST
b) Write the following numbers in order of size.
Start with the smallest number.
0.054 0.54 0.45
0.405
o
8
Answer:
0
0.054
0.405
0.45
0.54
8
Step-by-step explanation:
y=2x+3 for the slope
x= -3/2
Step-by-step explanation:
y=2x+3 for the slope
move the variable to the left
divide both sides
solution solve
What is the solution to the system of equations?
{x=2y+3
{4x-5y=9
Answer:
(1,-1)
Step-by-step explanation:
If you have any questions about the way I solved it, don't hesitate to ask me in the comments below :).
7y−4(9/4y−6). simplified
Answer:
−2y+24
Step-by-step explanation:
Let's simplify step-by-step.
7y−4(9/4y−6)
Distribute:
=7y+(−4)(9/4y)+(−4)(−6)
=7y+−9y+24
Combine Like Terms:
=7y+−9y+24
=(7y+−9y)+(24)
=−2y+24
Solve 8x-3y=14 for y
Answer:
see the photo
Step-by-step explanation:
hope this helps
A long-distance runner can run 11 miles per hour. How many hours will it take
the runner to run 44 miles?
Answer:
4 Hours.
Step-by-step explanation:
If the run 11 miles in a hour, then do 11 times as many hours.
11 x 4 = 44.
The drama club is selling tickets to their play to raise money for the show's expenses. Each student ticket sells for $4 and each adult ticket sells for $8.50. The auditorium can hold at most 79 people. The drama club must make no less than $460 from ticket sales to cover the show's costs. If 53 student tickets were sold, determine the minimum number of adult tickets that the drama club must sell in order to meet the show's expenses. If there are no possible solutions, submit an empty answer.
Answer:
There is no way.
Step-by-step explanation:
4 x 53 = 212.
460 - 212 = 248.
The mininmum adult tickets you would need is 29 but that would go over the capacity
Pythagorean Therom.What is the length of segment AB?
Answer:
A square + B square = C square
Step-by-step explanation:
If l is parallel to m find the value of each missing variable
Answer:
In the pic
Step-by-step explanation:
If you have any questions about the way I solved it, don't hesitate to ask me in the comments below :)
based on her recipe, Elena knows that 5 servings of granola has 1750 calories.
Answer:
700 calories
Step-by-step explanation:
1750 ÷ 5 = 350350 × 2 = 700I hope this helps!
A wire that is 80 centimeters long is shown below. The wire is cut into two pieces, and each piece is bent and formed into the shape of a square. 80 cm wire Suppose that the side length (in centimeters) of one square is x cm. Express the perimeter of the big square in terms of x. (1 point)
Answer:
The perimeter of the second(big) square = [tex]\mathbf{4 \times \begin {pmatrix} \dfrac{80-x}{4} \end {pmatrix}}[/tex]
Step-by-step explanation:
From the information given:
The length of the piece of the wire = 80 cm
When being cut into two pieces;
the length of the first wire = x
Then the length of the second(big) wire will be = 80 - x
However, when each piece is bent to a square shape
The length of one side of the first square = [tex]\dfrac{x}{4}[/tex]
The length of one side of the second(big) square; [tex]\dfrac{80-x}{4}[/tex]
Area of a square = l² ( where l is the length of the sides)
For the first square
A₁ = [tex](\dfrac{x}{4})^2[/tex]
A₁ = [tex]\dfrac{x^2}{16}[/tex]
The area of the second(big) square is:
A₂ = [tex](\dfrac{80-x}{4})^2[/tex]
A₂ = [tex](\dfrac{(80-x)^2}{4})[/tex]
The perimeter of the first square = [tex]4 \times \dfrac{x}{4}[/tex]
The perimeter of the second(big) square = [tex]\mathbf{4 \times \begin {pmatrix} \dfrac{80-x}{4} \end {pmatrix}}[/tex]