The figure below shows a rectangular prism and a cube:
A rectangular prism and a cube are drawn side by side. The length of the rectangle prism is 5 inches, the width is 4 over 5 inch, and its height is 1 and 3 over 5 inches. The cube has a side length of 1 over 5 inch.
How many such cubes are required to completely pack the prism without any gap or overlap?
Answers
Answer:
Calculate the volume of each shape.
Volume of rectangle = 6 x 5/6 x 1 2/6 = 6 2/3 cubic inches.
Volume of cube = 1/6 x 1/6 x 1/6 = 1/216 cubic inch.
Now divide the volume of the rectangle by the volume of the cube:
6 2/3 / 1/216 = 1440
It will take 1.440 cubes to fill the rectangle.
Step-by-step explanation:
Related Questions
The perimeter of a rectangle is 42 inches. If the width of the rectangle is 6 inches, what is the length?
А. 12 inches
B. 15 inches
C. 21 inches
D.40 inches
Answers
We know that,
☆ Perimeter of a Rectangle = 2 (length + width)
Hence,
42 = 2 (length + 6)
or, 42/2 = length + 6
or, 21 = length + 6
or, length = 21 - 6
or, length = 15
The length is 15 inches.
Therefore, the correct answer is option (B) 15 inches.Evaluate the expression. Write your answer as a fraction in simplest form.
-3 3/4 x 5/6 - 2 1/3=
Answers
The expression in simplest form is 7 7/24.
What is a Fraction?A fraction is a number that can be written in the form of p/q, where q≠0.
The expression given is -3(3/4) * (5/6) - 2(1/3)
-15/4 * 5/6 * (-7/3)
= (25*7) / (4*6)
= 175 /24
= 7 7/24
Therefore, the expression in simplest form is 7 7/24.
To know more about Fraction
https://brainly.com/question/10354322
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-3 2/7 -(2 2/3) can someone please help me
Answers
Steps:
First, change the mixed numbers to improper fractions.
So -3 2/7 = -23/7
2 2/3= 8/3
Second, make the denominators the same number
So multiply -23/7 by 3 and 8/3 by 7
-69/21-56/21
Subtract the numerators
-69-56= -125
So the answer is -125/21 or -5 20/21
Is this a function----------------
Answers
Answer:
yes
Step-by-step explanation:
hope this helps, pls mark brainliest :D
Answer:
Yes it is a function ------
HELP! FINALSS!
A bookshelf at a bookstore is 3 feet 9 inches wide. There are 18 copies of the same book on the shelf, which fit the shelf exactly. What is the width of 1 of the books?
A. 3 1/6 inches
B. 2 3/4 inches
C. 2 2/3 inches
D. 2 1/2 inches
Answers
Answer:3 1/2 ft = 7/2 ft
(7/2) 12/1 = 42 in.
Then: 42 / (5/8)
42 (8/5)
336/5
67 1/5
you can stack 67 books
Step-by-step explanation:
Please help me on these questions!!! Also, show your work so I can see how you did it so that I can learn how to do this stuff too!!!!! Lots of points if you help me on all of these questions!! Brainliest if you help me understand!!!
Answers
Answer:
Answer is F:
y = 2x + 4
Step-by-step explanation:
The slope-intercept form of a line is given by
y = mx + b
where m is the slope of the line and b is the y-intercept ie the y value where the line crosses the y axis for x = 0
In the line y = 2x + 4, the slope of the line is 2
If 2 lines are parallel to each other, they must have the same slope
Therefore the line passing through (-1,2) must have an equation of the form y = 2x + b.
There are only 2 choices that fit this equation, F and H
If we substitute the values of x=-1 into the F equation for testing we get
y = 2(-1) + 4 = -2 +4 = 2 which is the correct value for y for the point(-1,2)
The other choice y = 2x + 3 does not work because substituting for x we get
y = 2(-1) + 3 = -2 + 3 = 1 which is not the value of y for the point (-1,2)
i need help on this i was never able to figure it out
Answers
Answer:
the answer is 0
Step-by-step explanation:
Answer:
the answer is 2.5 hope this helps
Step-by-step explanation:
if not am deeply sorry
A recipe calls for 3 cups of milk for every 2 cups of flour. If you have 15 cups of milk, how many cups of flour will you need?
Answers
A truck and a SUV are 315 miles apart when they start moving towards each other on a straight road. The speed of the SUV is 55 while the truck's speed is 5 mph slower.
How far apart are the vehicles?
Please help me.
Answers
Seven more than 3 times a number can be translated
as what?
Answers
Answer:
3n+7
hope it helps......
7 more than 3 * a number
So (3*x(times the number)+7
HELP ME ASAP. I WILL GIVE BRAINLIEST PLS PLS PLS HELP!!! DON'T ANSWER IF U ARE NOT GONNA GIVE A GOOD ONE!!!
Arrange the events based on when they happen in the plot of "Up the Slide" by Jack London.
Group of answer choices
1
[ Choose ]
2
[ Choose ]
3
[ Choose ]
4
[ Choose ]
5
[ Choose ]
Options:
Clay goes in search of a dead pine tree to use for firewood
Clay uses his ax to help him move down the mountain
Clay makes a profit from selling the firewood
Clay climbs across the steep mountain slope to cut down the tree
Clay discovers more trees to be used as firewood.
Answers
Answer:
1: clay climbs across steep mountain slope to cut treee
2:clay goes in search for a dead pine tree
3:clay discovers more trees to be used as firewood
4:clay uses his ax to climb down mountain
5: clay makes profit from selling firewood
Write the expression with fewer terms.
12x-4y+5x
Answers
Have a nice day!!!
( Don’t forget to mark branliest if it helps :) )
Answer:
17x - 4y
Step-by-step explanation:
ILL GIVE BRAINLIEST I NEED HELP ASAP
Question 1
What is the probability of rolling an odd number on a fair number cube and tossing tails on a fair coin?
A. 1/4
B. 1/2
C. 5/8
D. 5/6
Question 2
A coin is tossed and a fair number cube is rolled.
What is the probability of getting heads and a 3 or 4?
Question 3
You toss a coin and a dice. The probability of getting tails and a 1 or 2 is 1/6. If you conduct 180 trials, predict the number of times the outcome will be heads and a 1 or 2.
A. 1080
B. 30
C. 20
D. 60
Answers
Answer:
1 is A 2 IS 1/8 3 IS B= 30
Step-by-step explanation:
A hospital ordered 4 boxes of cotton swabs. There were 71 cotton swabs in each box. How many cotton swabs did the hospital order in all
Answers
Answer:
284 you multiply the numbera
Step-by-step explanation:
71×4=284
Unit 3 Lessons 1-4 Practice Problems
24 of 2524 of 25 Items
Item 24
POSSIBLE POINTS: 21.33
Based on the given measurement in each situation below, estimate the other two measurements for the circle. Use 3.14 as an approximation for pi and round your answer to the nearest whole number.
Remember: Circumference= diameter × π OR Circumference= 2×radius× π
Type your answers in the boxes below.
1. The length of the minute hand on the clock is 5 inches.
Diameter:
inches Circumference:
inches
2. The distance across a sink drain is 3.8 cm.
Radius:
cm Circumference:
cm
3. The tires on a mining truck are 14 feet tall.
Radius:
feet Circumference:
feet
4. The fence around a circular pool is 75 feet long.
Diameter:
feet Radius:
feet
5. The distance from the tip of a slice of pizza to the crust is 7 inches.
Diameter:
inches Circumference:
inches
6. Breaking a cookie in half creates a straight side 10 cm long.
Radius:
cm Circumference:
cm
7. The length of the metal rim around a glass lens is 190 mm.
Diameter:
mm Radius:
mm
8. From the center to the edge of a DVD measures 60 mm.
Diameter:
mm Circumference:
mm
Answers
I NEED ANSWERS QUICKLY PLEASE HELP!!! (I WILL GIVE BRAINLIEST TO WHOEVER ANSWERS FIRST WITH THE CORRECT ANSWER!!!)
f(n)=-3n-1
Given this explicit equation, what is the common difference?
Answers
4) ASAP HELP I WILL GIVE BRAINLIST IF YOU GIVE ME THE CORRECT ANSWER
Answers
Answer:
y=25x+-5
Step-by-step explanation:
You use a stain remover on two separate stains on a shirt. Design and use a simulation to find the experimental probability that the stain remover removes both the mud stain and the food stain. Probability of Stain Removal Mud 90% Food 80%
Answers
Answer:
you would have to get 2 shirts with stains with stain remover and test it
Step-by-step explanation:
Answer:ابالواغودقذزرقق#دريد زسسدييبذثثهعغف
Step-by-step explanation:قفالبيللالفل
Simplify the expression 15 − 3(3a + b) + 5a − 6b.
Answers
Answer:
Step-by-step explanation:
the answer is -4, 9, and 15
More help please! Giving 10 points for this :)
Answers
1 cm : 2 m and 1 cm : 4 m
This means that for every 2 meters you would draw one centimeter, or every 4.
Drawing B is the larger drawing because it uses a larger number of meters.
The second one is almost like the first, except for every 10 meters you draw 1 centimeter. 50 divided by 10 is 5 and 25 divided by 10 is 2.5 These are the centimeters.
Draw 5 cm for the length and 2.5 cm for the width.
help please due now....
Answers
Answer:
x = 2
Step-by-step explanation:
1. Divide both sides by 2
2 (x + 3) ÷ 2 = 10 ÷ 2
2. Simplify
x + 3 = 5
3. Subtract 3 from both sides
x + 3 - 3 = 5 - 3
4. Simplify
x = 2
1. Diane's has $200 to spend on the basic phone service costs $17.89 per month. If Diane pays for 11 months how much money will she have left over?
2.To lay a drainage system it costs $120 for every 50 feet. Write an equation to determine the cost of laying 300 feet of drainage.
3.Solve: 12 = -4h + 7 +11h
Which of the following would be an appropriate first step to take in solving for "h"?
Group of answer choices
adding 7 to both sides
adding 12 to both sides
combining (-4h) and (11h)
multiplying both side by 4
Answers
Answer:
$3.21
Step-by-step explanation:
Answer:
1: $3.21.
2: 50x+120=300
3: h=5/7/ first step would be to adding 7 to both sides.
Step-by-step explanation:
for the 3rd:
you're combining like terms so you have to subtract 7 from both sides you gotta subtract 12-7 so that gives you 5=7h+7-7 and the subtract the 7-7, and that will give you 0 so you have 5=7h left.divide both sides by the same terms (7), so you'll have 5/7 and 7h/7 so 7/7=0 so you drop that and just have the h. now switch sides with the virable and the fraction you still have (5/7)you now have h=5/7.Choose one card value and its additive inverse. Choose from the list below to write a real-world story problem that would model their sum.
a. Elevation: above and below sea level
b. Money: credits and debits, deposits and withdrawals
c. Temperature: above and below 0 degrees
d. Football: loss and gain of yard
Answers
Answer:
D
Step-by-step explanation:
i need help ASAP!!!!!!!!!!!!!!!!!!
Answers
Hope I’m right did the math real quick while doing a test good luck
I will give brainliest! Make sure to tell me each question label! In a triple batch of a spice mix, there are 6 teaspoons of garlic powder and 15 teaspoons of salt. Answer the following questions about the mix.7a, 7b, 7c, 7d
(7a) How much garlic powder is used with 5 teaspoons of salt? *
(7b) How much salt is used with 8 teaspoons of garlic powder? *
(7c) If there are 14 teaspoons of spice mix, how much salt is in it? *
(7d) How much more salt is there than garlic powder if 6 teaspoons of garlic powder are used? *
Answers
Answer:
(7a) 2 teaspoons of Garlic Powder
(7b) 20 teaspoons of Salt
(7c) 10 teaspoons of Salt
(7d) 9 more teaspoons of Salt
HELP ASAP PLS
I just posted a question in the health section I rlly need help asap! Im posting this in the math section so more people see it since ppl on here do math more than health. Pls don't troll or anything and don't waste the answers only answer If you can pls help
Answers
Answer:
Ill try not to sure what I can do though!
Step-by-step explanation:
solve for d: 52.47d - 26.72 = 235.63
Answers
divide both sides by 52.47
d= 5
A concert promoter charges $65 per ticket for a concert. The promoter's cost will be $5500 plus $4 per ticket.
If r = revenue and n = number of tickets sold, then r(n) shows how revenue (amount of money received from ticket sales) depends on the number of tickets sold.
r(n) = 65n
If c = cost and n = number of tickets sold, then c(n) shows how cost (expenses of the concert promoter) depends on the number of tickets sold.
c(n) = 4n + 5500
Answers
Answer:
here you go mate
you would just plug in the formulas given to you following the hint it's:
r(n) - c(n)
which goes to
65n - (4n + 5500)
then we can simplify that to
61n - 5500
Part 2:
61(850) - 5500
51850 - 5500 = 46350
this means if he sells 850 tickets he will make a net of 46350 dollars
plz help with this problem
Answers
You work two jobs in the winter. You babysit for your neighbor, making $6 per hour, and you clear snow from driveways, making $10 per hour. You want to buy the latest X-Box ™ that costs $500. Write an equation that represents how you can earn enough money to buy the latest X-Box ™.
SECOND PART
Describe two ways that you can earn enough money to buy the latest X-Box ™. Show calculations that prove your two ways are viable answers
I HAVE NO CLUE HOW TO DO THIS PART
Answers
Answer:
( 6 x 12 + 10 x 8 ) = 200 + 10 x 30 = 300
Step-by-step explanation: babysit for 12 hours
clear snow for 38 hours not all in the same day but still