Two cylindrical containers, C and D, with different capacities are shown below. What is the total volume of liquid held in these containers if half of container C is full and one third of container D is full?

Two Cylindrical Containers, C And D, With Different Capacities Are Shown Below. What Is The Total Volume

Answers

Answer 1

Answer:

Option D. (x + 4)(x + 1)

Step-by-step explanation:

From the question given above, the following data were obtained:

C = (6x + 2) L

D = (3x² + 6x + 9) L

Also, we were told that half of container C is full and one third of container D is full. Thus the volume of liquid in each container can be obtained as follow:

Volume in C = ½C

Volume in C = ½(6x + 2)

Volume in C = (3x + 1) L

Volume in D = ⅓D

Volume in D = ⅓(3x² + 6x + 9)

Volume in D = (x² + 2x + 3) L

Finally, we shall determine the total volume of liquid in the two containers. This can be obtained as follow:

Volume in C = (3x + 1) L

Volume in D = (x² + 2x + 3) L

Total volume =?

Total volume = Volume in C + Volume in D

Total volume = (3x + 1) + (x² + 2x + 3)

= 3x + 1 + x² + 2x + 3

= x² + 5x + 4

Factorise

x² + 5x + 4

x² + x + 4x + 4

x(x + 1) + 4(x + 1)

(x + 4)(x + 1)

Thus, the total volume of liquid in the two containers is (x + 4)(x + 1) L.


Related Questions

Can someone please help?

Answers

Answer:

The answer is B 93 sq cm

Step-by-step explanation:

In order to find the area, we need to split the figure into two.

Please see the attached image.

Hope this helps :-)

Solution:
2. The half-life of BRADIUM-29 is 15 years. If you have 8 ounces of this strange substance today, how much will you
have left after 35 years?

SKU

Answers

Answer:

You will have 1.585 left after 35 years.

Step-by-step explanation:

Equation for amount of a substance:

The equation for the amount of a substance, using exponential decay, is given by:

[tex]A(t) = A(0)(1 - r)^t[/tex]

In which A(0) is the initial amount and r is the decay rate, as a decimal.

The half-life of BRADIUM-29 is 15 years.

This means that [tex]A(15) = 0.5A(0)[/tex]. We use this to find r.

[tex]A(t) = A(0)(1 - r)^t[/tex]

[tex]0.5A(0) = A(0)(1 - r)^{15}[/tex]

[tex](1 - r)^{15} = 0.5[/tex]

[tex]\sqrt[15]{(1 - r)^{15}} = \sqrt[15]{0.5}[/tex]

[tex]1 - r = (0.5)^{\frac{1}{15}}[/tex]

[tex]1 - r = 0.9548[/tex]

Then

[tex]A(t) = A(0)(1 - r)^t[/tex]

[tex]A(t) = A(0)(0.9548)^t[/tex]

You have 8 ounces of this strange substance today

This means that [tex]A(0) = 8[/tex]. So

[tex]A(t) = A(0)(0.9548)^t[/tex]

[tex]A(t) = 8(0.9548)^t[/tex]

How much will you have left after 35 years?

This is A(35). So

[tex]A(t) = 8(0.9548)^t[/tex]

[tex]A(35) = 8(0.9548)^{35} = 1.585[/tex]

You will have 1.585 left after 35 years.

Help please i need ASAP

Answers

Answer- G, 150%

Why: I literally just looked it up...
:)

Answer:

H

Step-by-step explanation:

35,000 *2.50=87,500

Karrie’s mom has these flavors of juice boxes in a cooler. 4 grape 6 fruit 10 orange What is the ratio of the number of grape juice boxes to the total number of juice boxes in the cooler?
A. 1:16
B. 1:5
C. 1:4
D. 1:20

Answers

the answer is b the ratio would be 4:20 but it is simplified, therefor 1:5

A heap of yam contain 40 tuber.if the average weight of each tuber is 5 3^4kg, what is the total weight of the heap?

Answers

Answer:

The total weight of the heap is 16,200 kilograms.

Step-by-step explanation:

Given that a heap of yam contain 40 tuber, to determine the total weight of the heap if the average weight of each tuber is 5 3 ^ 4kg, the following calculation must be performed:

(5x3 ^ 4) x 40 = X

(5x81) x 40 = X

405 x 40 = X

16,200 = X

Therefore, the total weight of the heap is 16,200 kilograms.

Simplify the expression:
64 5/6

Answers

Answer: D. 32

Step-by-step explanation: 64^(5/6)=32 just trust me

The solution of the expression will be 32. The correct option is D.

What is an expression?

In mathematics, expression is defined as the relationship of numbers, variables, and functions using mathematical signs such as addition, subtraction, multiplication, and division.

The given expression [tex]64^{\frac{5}{6}}[/tex] will be calculated as:-

[tex]64^{\frac{5}{6}} = (2)^{6})^{\frac{5}{6}[/tex]  

Use the propwerty of exponents,

[tex]64^{\frac{5}{6}} = 2^5[/tex]

[tex]64^{\frac{5}{6}}=32[/tex]  

Therefore, the solution of the expression will be 32. The correct option is D.

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Antoine watches a movie that is 1 hour and 45 minutes long. Which number line
could show when Antoine watches the movie?

Answers

Answer:

I am pretty sure It is the top right corner

Pls help I need a good grade

Answers

Answer:

A) 6.25x+7.50=26.25

Step-by-step explanation:

To find how much she payed for every round she played (woah that rhymed) you multiply 6.25 by the amount of rounds she played, which is x.

That's where we get 6.25x

7.50 is the base cost, so she will pay that much regardless of how much she played.

26.25 is the total amount of money spent. The admition cost and how much she spent on playing ads up to her total cost

Find the exact value of tan 75 degrees.

Answers

Answer:

3.73205080757 or 3.7

Step-by-step explanation:

Answer:

2+√3 or 3.73

Please mark brainliest

25 — 3x = 40
x =

Please answer quick thanks

Answers

Answer:

25 — 3x = 40

Explanation :

25 — 3x = 40

-3x= 40-25

-3x=15

X= -15/3

X= -5

This is the right Answer :3

I hope you are having a great day ❤️❤️❤️

In a popular online role playing game, players can create detailed designs for their character's "costumes," or appearance. Joseph sets up a website where players can buy and sell these costumes online. Information about the number of people who visited the website and the number of costumes purchased in a single day is listed below. 103 visitors purchased no costume. 161 visitors purchased exactly one costume. 7 visitors purchased more than one costume. Based on these results, express the probability that the next person will purchase more than one costume as a decimal to the nearest hundredth.

Answers

The probability that the next person will purchase more than one costume is 0.03

How to solve for the probability

We have the following details to solve the problem with

The people that did not purchase any costume = 103

Those that purchased exactly one costume = 161

Those that purchased more than one costume = 7

The total number of persons that we have here would be

103 + 161 + 7

= 271

We are to find the probability that the next would purchase more than 1 costume.

This is given as:

7 / 271 = 0.0258

To the nearest hundredth = 0.03

Hence, 0.03 is the probability that the next person is going to buy more than one costume.

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Answer:

81%

Step-by-step explanation:

27 no costume, 112 exactly one costume, 3 more than one costume.

27+112+3=142

There were a toal of 142 customers. 112+3=115 visitors purchased one or more costumes costumes.

Probability the next visitor will purchase one or more costumes:

115/142=0.809859

0.809859 times 100% = 80.9859%

which rounds to 81%

The probability as a percent to the nearest whole number is 81%

Can someone please help me on 2, 3, 4 and 5 ??

Answers

2 is a,c,d
3, none of the options are correct.
4 could be 3v + 5m
5 can be 11(2x+y)

What percent of 60 is 79?

Answers

Answer:

75.949367088608%

Step-by-step explanation:

Answer:

79 is 131.66% of 60

Step-by-step explanation:

If I have
1/4
of a tank of gas, what fraction represents the amount required to fill my tank the rest of the way?

Answers

3/4 of the rest of the tank needs to be filled

Answer:

3/4

Step-by-step explanation:

If 1/4 of the tank is full, then 3/4 of the tank is empty.

Malia invests $975 in a savings account with a fixed annual interest rate 3% compounded continuously. What
will her account balance after 12 years?
Malia will have [a] in her bank account.

Answers

Answer: The answer is 600 years

Step-by-step explanation:

One hexagonal prism has dimensions that are triple the dimensions of a similar hexagonal prism. If the volume of the smaller prism is 4.75 cm3, what is the volume of the larger prism?

4.75 cm3
14.25 cm3
42.75 cm3
128.25 cm3

Answers

Answer:

128.25 cm³

Step-by-step explanation:

Volume of an hexagonal prism:

The volume of an hexagonal prism is given by:

[tex]V = \frac{3\sqrt{3} a^2h}{2}[/tex]

In which a and h are the dimensions.

Triple the dimensions

This means that the volume will be multiplied by 3^3, 27(as there are 3 terms which are dependent of the dimensions, a² and h).

If the volume of the smaller prism is 4.75 cm3, what is the volume of the larger prism?

27*4.75 = 128.25 cm³

128.25 cm³ is the answer

Answer:

128.25 cm3

Step-by-step explanation:

Find the first four iterates of the function f(x) = (x - 5)2 with an initial value of x0 = 4.


a.
4; 19; 645; 12,645
c.
1; 19; 645; 12,645
b.
1; 16; 121; 13,456
d.
4; 16; 121; 13,456

Answers

Answer: B

Step-by-step explanation: right on edge 2020

Answer:

B. 1; 16; 121; 13,456

Step-by-step explanation:

correct below on picture

1.) The tires on our RV have a radius of 14 inches. About how many inches does the RV travel with each rotation of the tire?

2.) About how many feet does the RV travel in one tire rotation?

3.) Today, we’re heading 70 miles south from Huntsville. Where are we going?

Answers

Answer:

Ana i know this doesnt help with your question but its me caden I missed you so much

Step-by-step explanation:

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

Answers

yes period ……….. lol

ah yes periods. are you on your period right about now?

A fifteen-passenger van is rented for a family vacation. The van rental is $60 per day,
plus a $145 insurance fee. How many days can the van be rented if they want to spend no
more than $625 on the rental? Write and solve an inequality, let “d” represent days.

Answers

Answer:

3d

Step-by-step explanation:

$60 + $145 = $205

$205 x 3 = $615

3D is the answer I agree with the other person I am right

Which is the graph of the linear inequality y ≥ −x − 3?

On a coordinate plane, a solid straight line has a negative slope and goes through (negative 3, 0) and (0, negative 3). Everything to the right of the line is shaded.
On a coordinate plane, a solid straight line has a negative slope and goes through (negative 3, 0) and (0, negative 3). Everything to the left of the line is shaded.
On a coordinate plane, a dashed straight line has a negative slope and goes through (negative 3, 0) and (0, negative 3). Everything to the right of the line is shaded.
On a coordinate plane, a dashed straight line has a negative slope and goes through (negative 3, 0) and (0, negative 3). Everything to the left of the line is shaded.
Mark this and return

Answers

Answer:

Your answer for this problem would be option A.

Step-by-step explanation:

Putting the linear inequality of [tex]y\ge-x-3[/tex] into a graphing calculator such as Desmos would grant this result:

The required graph has been attached below that represents the linear inequality y ≥ −x − 3. The correct answer would be an option (A).

What is inequality?

An Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.

The inequality is given in the question, as follows:

y ≥ −x − 3

Here, on a coordinate plane, a solid straight line has a negative slope and goes through (-3, 0) and (0, -3). Everything to the right of the line is shaded.

Therefore, the required graph has been attached below that represents the linear inequality y ≥ −x − 3.

Hence, the correct answer would be an option (A).

Learn more about inequalities here:

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In a class of 32 boys, 16 passed the
examination and 4 were absent. The
rest failed. What fraction of the
whole class failed?​

Answers

Answer:

12/32 = 3/8

Step-by-step explanation:

Total no: of boys = 32

No: of boys passed = 16

Absent = 4

No: of failed = 12

Fraction of failed boys to the whole class is 12/32 = 3/8

Brainliest plsss

Color
Number of Times Landed
6
Red
5
Yellow
Blue
Andrew picks one marble at a time from a box and replaces it. He
repeats this process 25 times and records the results in the table. Based
on the table, which color marble has an experimental probability of 1/5?
4
Green
10

Answers

Answer:

Yellow.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes. Experimental probability is found taking into account previous experiments.

In this question:

6 + 5 + 4 + 10 = 25 total marbles.

The experimental probabilities are:

6/25 probability it is red.

5/25 = 1/5 probability it is yellow. Thus, the answer is yellow.

4/25 probability it is blue.

10/25 = 2/5 probability it is green.

Ross has a plan to increase the number of sit-ups he does by the same percent each
week. The table shows his goal for each week of the plan.
Which expression gives the goal for the 52nd week?

Answers

Answer:

20•2^51

Step-by-step explanation:

The expression that gives the goal for the 52nd week is 20(2)⁵¹.

Week   1      2     3      4      5

Goals  20   40   80   160   320

This means the numbers are goals are increasing geometrically.

What is a geometric progression?

A geometric progression is a series in which any element after the first is obtained by multiplying the preceding element by a constant called the common ratio.

We know the nth term of a GP = arⁿ⁻¹

Where a is the first term and r is the common ratio.

In our problem, a=20 and r=40/20=2

So, the 52nd term of the GP = 20(2)⁵²⁻¹

The 52nd term of the GP =20(2)⁵¹

Hence, the expression that gives the goal for the 52nd week is 20(2)⁵¹.

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Find x and the measures of the indicated parts

Answers

Answer:

Your answer is A

Step-by-step explanation:

If you use substitution for 4x-8 then you get: 4(7)-8.

28-8 = 20

syd used 17 gallons and 4 cups of paint to repaint his house. how many cups of paint did syd use?

Answers

Answer:

276

Step-by-step explanation:

17 gallons is 272 cups and just add 4 to it hope this helps

Find the volume of the specified cone. Use 3.14 for Pi, and round your answer to the nearest whole number.
Radius = 4 in., Height = 9 in.
a.
301 cu. in.
b.
226 cu. in.
c.
75 cu. in.
d.
151 cu. in.

Answers

Answer:

D. 151 cu. in.

Step-by-step explanation:

Given: Cone; Radius = 4 in, Height = 9 in.

To find: The volume of the specified cone

Formula: [tex]V=\frac{1}{3} h\pi r^2[/tex]

Solution: A cone is a solid that has a circular base and a single vertex. To calculate its volume multiply the base area (area of a circle: π × r²) by height and by [tex]\frac{1}{3}[/tex] : volume = ( [tex]\frac{1}{3}[/tex] ) × π × r² × h.

A plot of land has been surveyed for a new housing If the measure of angle BCD is 67.4°, the measure of development with borders AB, BC, DC, and DA. The plot angle ABC is of land is a right trapezoid with a height of 60 feet and an If the length of base AB is 80 feet, the length of DC is opposite leg length of 65 feet.

if the measure of the angle BCF is 67.4, the measure of angle ABC is _____°
if the length of base AB is 80 feet the length of DC is _____ feet.

Answers

Answer:

If the measure of the angle BCF is 67.4, the measure of angle ABC is 112.6°

If the length of base AB is 80 feet the length of DC is 105 feet.

Step-by-step explanation:

got it right on edg.

If the measure of the angle BCF is 67.4, the measure of angle ABC is 112.6°. If the length of base AB is 80 feet the length of DC is 105 feet.

What is a quadrilateral?

Any closed figure made by 4 line segments joined end to end in series is called a quadrilateral.

That quadrilateral in which opposite sides are parallel is called a parallelogram.

Thus, a parallelogram is always a quadrilateral but a quadrilateral can or cannot be a parallelogram.

A plot of land has been surveyed for a new housing If the measure of angle BCD is 67.4°, the measure of development with borders AB, BC, DC, and DA.

The plot angle ABC is of land is a right trapezoid with a height of 60 feet and an If the length of base AB is 80 feet, the length of DC is opposite leg length of 65 feet.

Right trapezoid means two angles are of 90 degrees.

Quadrilateral ABED is a parallelogram

ABDE and AB= DE=80 feet

AD= BE=60 feet

Therefore, Length of DC= 80+x

Therefore, length of DC = DE + EC

= 80 + 25

= 105 feet .

If the measure of the angle BCF is 67.4, the measure of angle ABC is 112.6°

If the length of base AB is 80 feet the length of DC is 105 feet.

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The earned run average (ERA) a of a baseball pitcher varies directly as the number of earned runs r and inversely as the number of pitched innings p. In one season, a pitcher has an ERA of 2.475 with 80 innings pitched and 22 earned runs. Find the number of earned runs if the pitcher has an ERA of 2.25 after pitching 112 innings in the next season.
Find the number of earned runs when the pitcher has an ERA of 2.25 after pitching 112 innings in the next season.

Answers

Answer:

The number of earned runs is 28.

Step-by-step explanation:

Earned runs average:

The earned runs average of a pitcher is the number of runs the he/she gives each 9 innings on average.

Find the number of earned runs when the pitcher has an ERA of 2.25 after pitching 112 innings in the next season.

Solved by proportions, using a rule of three.

For each 9 innits, the pitcher gives 2.25 runs. How many runs for 112 innings?

9 innings - 2.25 runs

112 innings - x runs

Applying cross multiplication:

[tex]9x = 2.25*112[/tex]

[tex]x = \frac{2.25*112}{9}[/tex]

[tex]x = 28[/tex]

The number of earned runs is 28.

Simplify.
Rewrite the expression in the form 5^n

Answers

Answer:

[tex]\frac{5^{-5}}{5^8} = 5^{-13}[/tex]

Step-by-step explanation:

Given

[tex]\frac{5^{-5}}{5^8}[/tex]

Required

Express as [tex]5^n[/tex]

We have:

[tex]\frac{5^{-5}}{5^8}[/tex]

Apply second law of indices

[tex]\frac{a^m}{a^n} = a^{m-n}[/tex]

So, we have:

[tex]\frac{5^{-5}}{5^8} = 5^{-5-8}[/tex]

[tex]\frac{5^{-5}}{5^8} = 5^{-13}[/tex]

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