The number of rectangular prism container that would be set on the shelf is: 4.
What is the Volume of a Rectangular Prism?Volume of rectangular prism = length × width ×height
Given the following:
Volume of three containers = 135 in.³Volume of each rectangular prism container = 135/3 = 45 in.³One face = width × height = 4.5 × 2 = 9 in.Find the length of one rectangular prism using the volume formula since volume for one prism = 45 in.³
45 = length × 9
length = 5 in.
Each rectangular prism container is 5 in. long, therefore, the number of the containers that can be set on the shelf that is 24 in. long, if the 4.5 in by 2 in. face touches each other = 24/5 = 4.8.
The fifth container won't fit in. Therefore, the number of rectangular prism container that would be set on the shelf is: 4.
Learn more about rectangular prism on:
https://brainly.com/question/1015291
If f(x) = 5x^5 + 1, then what is the remainder when f(x) is divided by x + 1?
Answer:
2l
Step-by-step explanation:
hence.f10 divido 8-2
Question 1 (Essay Worth 10 points)
(07.01, 07.02 MC)
An expression is shown below:
4ck2 + 10k2 − 16ck − 40k
Part A: Rewrite the expression by factoring out the greatest common factor. (4 points)
Part B: Factor the entire expression completely. Show the steps of your work. (6 points)
✿————✦————✿————✦————✿
The answer is: 2(k2−4k)(2c+5)
✿————✦————✿————✦————✿
Step:
* Consider 2ck2+5k2−8ck−20k. Do the grouping 2ck2+5k2−8ck−20k=(2ck2+5k2) +(−8ck−20k), and factor out k2 in the first and −4k in the second group.
* Factor out the common term 2c+5 by using the distributive property.
* Rewrite the complete factored expression.
✿————✦————✿————✦————✿
Answer:
2(k2−4k)(2c+5)
Step-by-step explanation:
Describe how to compare the two ratios 5:8 to 7:9. Tell each step to set up the ratios, then explain what to do to be able to compare the ratios. Finally make sure to answer how the ratios compare.
Answer:
5/8 is smaller.
Step-by-step explanation:
A ratio is just a different type of fraction, a 5:8 ratio means 5/8 which is 0.625. A 7:9 ratio equals 7/9 which is 0.777777
Then to compare them you see which is smaller or bigger.
0.77777 is bigger than 0.625 so we know that 0.77777777 which was the 7:9 ratio is the bigger one.
PLEASE READ THE PICTURE
Let g be a reflection in the x-axis, followed by a translation 4 units down of f(x). Write a rule for g described by the transformations of the graph of f. Please show work and I will mark Brainliest!
I need help with this
Answer:
You are correct with B!!
Step-by-step explanation:
(x⁹)²
We have to multiply 9 x 2, regardless of the parenthesis for this one.
9 × 2 is 18.
We cannot simply 18 further.
Carry the x in front of 18.
x¹⁸
how to solve the proof and the steps
Answer:
Step-by-step explanation:
Please I really need help!? NOW!! Will give brainest!!
Answer:
the figure is a rectangle with a side of trapezium
according to my calculation the answer is
196m²
explanationArea of trapezium =½(10+8)×4=36
Area of rectangle =10×16=160
add=160+36
therefore the answer is 196m²5. For all real values of x such that -1 < x < 0, which of the following
expressions has the greatest value? *
Answer:
x<0
Step-by-step explanation:
-1<0 is greater
hope this helps your question
My neighbor has both chickens and roosters. He has a total of 31 birds. The number of chickens is ten more than twice the number of roosters. How many chickens does he have?
Answer:
24
Step-by-step explanation:
You can use a simple equation for this:
c=chickens, r=roosters
c=10+2r, as "chickens is TEN MORE than TWICE the number of roosters,"
we can then do;
10+2r+r (the original number of roosters)=31
3r=21
r=7
BUT, WE'RE NOT LOOKING FOR ROOSTERS!
10+2r=24
write using algerba a skick l feet long is brokeninto two parts one of which is twice as long as the other how long is the shoter peice
Answer:
Step-by-step explanation:
1/3 of the original
Step-by-step explanation:
one piece is TWO times longer than the other one. if you break it in half you have three pieces that are all the same size
Please help I am not understanding
Answer:
12.39cm
Step-by-step explanation:
cos 25°=AB/12.5
AB=12.5 cos 25°
cos 25°=0.9912
AB=12.5×0.9912
=12.39cm
Please help me on this
(Look at the Photo)
Deandre Willis is single and owns a hair salon. He has calculated the following assets and liabilities. Find DeAndre‘s net worth.
ASSETS
- current value of the hair salon: $180,000
- current value of car: $12,500
- checking account balance: $1,300
- combined savings: $18,000
- balance in retirement account: $30,000
- current value of owned electronics: $20,000
LIABILITIES
- remaining balance on mortgage: $120,000
- remaining balance on personal loan: $4,600
- combined credit card debt: $23,000
Given the value of DeAndre‘s assets and liabilities, his net worth is $114,200.
What is the net worth?Net worth is the value of the assets less the liabilities.
Net worth = assets - liabilities
Assets = $180,000 + $12,500 + $1,300 + $18,000 + $30,000 + $20,000= $261,800
Liabilities = $120,000 + $4,600 + $23,000 = $147,600
Net worth = $261,800 - $147,600 = $114,200
To learn more about liabilities, please check: https://brainly.com/question/26513242
1.) 7x+8=29
2.) 6x+6=36
3.) 7+6x=19
how do you solve these problems?
Answer:
1.) x= 3
2.) x=5
3.) x=2
Step-by-step explanation:
1) 7x+8=29
( -8). 7x=21. (-8)
(÷7). x=3. (÷7)
2). 6x+6=36
6x=30. subtract 6
x=5. divide by 6
3). 7+6x=19
6x+7=19. rearrange it
6x=12. subtract 7
x=2. divide by 6
[tex] \huge\mathbb\red{ANSWER} [/tex]
[tex] \mathsf \purple{7x + 8 = 29}[/tex]
[tex] \mathsf \pink{7x + 8 - 8 = 29 - 8}[/tex]
[tex] \mathsf \purple{7x = 21}[/tex]
[tex] \mathsf \pink{ \frac{7x}{7} = \frac{21}{7} }[/tex]
[tex] \mathsf \purple{x = 3}[/tex]
[tex] \mathsf \red{6x + 6 = 36}[/tex]
[tex] \mathsf \green{6x + 6 - 6 = 36 - 6}[/tex]
[tex] \mathsf \red{6x = 30}[/tex]
[tex] \mathsf \green{ \frac{6x}{6} = \frac{30}{6} }[/tex]
[tex] \mathsf \red{x = 5}[/tex]
[tex] \mathsf \blue{7 + 6x = 19}[/tex]
[tex] \mathsf \orange{ - 7 + 7 + 6x = 19 - 7}[/tex]
[tex] \mathsf \blue{6x = 12}[/tex]
[tex] \mathsf \orange{ \frac{6x}{6} = \frac{12}{6} }[/tex]
[tex] \mathsf \blue{x = 2}[/tex]
WHOEVER RESPONDS FIRST WILL BE MARKED BEST.
A circular rug has a diameter of 12 feet. What is the area, in square feet , of the rug rounded to the nearest hundredth? Use 3.14 for it
Answer:
113.04 ft^2
Step-by-step explanation:
area of circle formula = [tex]\pi r^{2}[/tex]
in this case, we are taking π as 3.14, so it is 3.14 x [tex]r^{2}[/tex]
Radius = half of diameter
radius = 12 / 2 = 6
[tex]6^{2}[/tex] = 36 (because 6 x 6 = 36)
3.14 x 36 = 113.04
Therefore, our answer is 113.04 ft squared (because it is area)
Hope this helps! If you have any further questions, let me know :)
- profparis
if i helped you, i would appreciate a brainliest :D
A penny is tossed and a number cube is rolled. determine each probability.
you must answer the problem with at least 3 sentences.
what number is the probability of landing on tails and the number 5?
p(tails,5) =
Answer:
25% chance
Step-by-step explanation:
Because a penny has two sides that is 50 percent and a cube 6 sides that's 16 percent. then you subtract 16 from 50 to get a 34 percent chance of probably.
convert 36 inches to feet there are 12 inches in a foot
HELP ASAP PLEASE>:)
Answer:
3 feet
Step-by-step explanation:
Help this is due in 15 mins!
Answer:
Area of the rectangle = 20 square units
Area of left triangle = 8 square units
Area of right triangle = 6 square units
Area of whole figure = 34 square units
Step-by-step explanation:
Alright, area of a rectangle is Base · Height. The base of the rectangle is 5 units and the height is 4 units. 5 · 4 = 20 square units.
Area of a triangle is (Base · Height)/2. The triangle on the left is 4 units tall and 4 units wide. 4 · 4 ÷ 2 = 8 square units.
The triangle on the right is 4 units tall and 3 units wide. 4 · 3 ÷ 2 = 6 square units.
To get the area of the whole figure, you can just add the area of all three shapes. 20 + 8 + 6 = 34 square units.
Hope this helps! :)
Answer:
Rectangle's area;
Length: 4
Width: 5
Formula for area of rectangle;
A = L*W
Replace values:-
A = 4(5)
A = 20.
Left triangle's area;
Base = 4
Height: 4
Formula for area of triangle;
A = BH x 1/2
Replace values:-
A = 4(4) x 1/2
A = 16 x 1/2
A = 16/2
A = 8.
Right triangle's area;
Base = 3
Height: 4
Formula for area of triangle:
A = BH x 1/2
Replace values:-
A = 3(4) x 1/2
A = 12 x 1/2
A = 12/2
A = 6.
Add all the areas we've found so far to get the figure's total area:
20 + 8 + 6
= 34.
hello, please answer the question, please show work
You work in the mayor’s office and you are providing the mayor with a list of talking points for a speech. In your town, 13
1
3
of the residents live in rented dwellings. Of those who live in rented dwellings, 12
1
2
are in families with school-age children. On your list of talking points, what fraction of the residents should you list as living both in rented dwellings and in families with school-age children?
Answer:12/13
Step-by-step explanation:12/13
Which subtraction equation shows how to subtract
4
2
12
−
2
8
12
using equivalent fractions?
A.
42
12
−
28
12
B.
18
12
−
22
12
C.
50
12
−
32
12
D.
48
12
−
24
12
How do I subtract a fraction from a whole number? Take the LCM of denominator of both the fractions (the denominator of whole number is one). Then, in both the numbers divide the LCM by the denominator and multiply the result by the numerator. Subtract the numbers in numerators and you will get your answer.
if the width of a rectangle with periemter is P is 6 units what is its length
write using algebra
Answer:
L = [tex]\frac{P - 12}{2}[/tex]
Step-by-step explanation:
Since perimeter is 2L + 2W, and width is 6, then P = 2L + 2*6, and solving for L gives you (P - 12)/2
Hopefully this helps- let me know if you have any questions!
A scientist notes the bacteria count in a petrie dish is 40. Three hours later, she notes the count has increased to 75. Using an exponential model, how many hours will it take for the bacteria count to grow from 75 to 120? Express the answer to the nearest tenth of an hour. Hint: You are NOT looking for the total time to reach 120. You are looking for the elapsed time from 75 to 120.
The number of hours it would take for the bacteria count to grow from 75 to 120 is 2 hours.
How many hours would it for the bacteria count to grow from 75 to 120?The first step is to determine the rate of increase of the bacteria. The formula that can be used is:
g = (FV / PV)^(1/n) - 1
Where:
FV = 75PV = 40 n = 3 hours(75/40)^(1/3) - 1 = 23.3%
The formula that can be used to determine the number of hours it would take for the population to grow from 75 to 120 is:
Number of hours = (IN FV / PV) / r
(IN 120/75) / 0.233 = 2 hours
To learn more about time, please check: https://brainly.com/question/21841217
What is question c in the question?
Answer:
y = [tex]4^{10}[/tex]
or
y = 1048576
Step-by-step explanation:
Function:
y = [tex]q^{x}[/tex]
Given values:
q = 4
x = 10
Substitute the given values into the function:
y = [tex]4^{10}[/tex]
or
y = 1048576
hope this helps and is right!! p.s. i really need brainliest :)
Find the Circumference ddddddddddddddddddddddddddddd
Answer:
25.12
Step-by-step explanation:
C = π2r
C = 3.14*2*4
C = 25.12
Hope this helps :)
A construction company takes
1/6 hours to remove 1/2
metric tons of dirt from a construction site.
What is the unit rate in metric tons per hour?
Write your answer in simplest form.
Answer:
3 tons per hour
Step-by-step explanation:
Since 0.5=1/6
you can multiply 0.5 by 6:
0.5x6= 3
With an ending result of 3 tons per hour
What phrase is a description of 2m + 7
Answer: 7 more than 2 times a number
Step-by-step explanation:
To describe 2m it would by 2 times m since it is multiplication
When describing a variable simply call it a number
Now we have "2 times a number", but we still need to incorporate the +7
To represent +7 we can say "7 more" since that represents addition
So we end up with "7 more than 2 times a number"
Answer:
2 times m + 7
Step-by-step explanation:
2 is the coeficient
m is the y additive
2 Which set of side lengths will form a triangle?
16 ft, 4 ft, 21 ft.
6 30 ft, 30 ft, 60 ft
12 ft, 12 ft, 20 ft
3ft, 5 ft, 10 ft
None of the above. To form a standard triangle, all 3 sides must be of equal length.
Find the value of x.?
Your answer is ≈ 19
Step-by-step explanation:
180 - 124 = 56
56 / 3 = 18.66666666666667
18.66666666666667 round it up...…
19
X = 19
Hope this helps! Please let me know if you need more help or think my answer is incorrect. Brainliest would be MUCH appreciated. Have a wonderful day!
Let f(x)=3x-4 and g(x)=x^2-5. Find f(g(3))
Answer:
8
Step-by-step explanation: