5 small containers of capacity 16, 72, 12, 24 and 56 Litres are to be used to fill a bigger container. What is the capacity of the bigger container which can be filled by each of the above containers exactly without leaving a remainder when used seperately?

Answers

Answer 1

Answer: 1008

Step-by-step explanation:

Given

5 small containers of capacity 16,72,12,24, and 56 litres is required to fill a big container.

The volume of big container is the LCM of the 5 given containers

[tex]LCM(16,72,12,24,56)=1008[/tex]

Therefore, the capacity of the bigger container is 1008 litres.


Related Questions

What is the length of the hypotenuse of the triangle when x=11​?

Answers

Answer:

hypotenuse = 93.06

Step-by-step explanation:

[tex]x = 11\\\\base = 4 \times 11 = 44\\\\height = 7x + 5 = 7 \times 11 + 5 = 77 + 5 = 82\\\\hypotenuse ^2 = base^2 + height^2\\[/tex]

                  [tex]=44^2 + 82^2\\\\=8660[/tex]

[tex]\\\\hypotenuse=93.06[/tex]

Given the equation ab= c where a=2.
Select an equation that is equivalent.

A. ax2=c
B. bx2=c
C. cxa= b
D. b x C = a

Answers

The answer is B you can see my steps

(PLEASE HELP) 17. Jon read 3/8 of a book the
first day. 1/3 the second day.
and 1/4 the third day. On the
fourth day he finished the book.
What part of the book did Jon
read on the fourth day?

Answers

Answer:

[tex]\frac{1}{24}[/tex]

Step-by-step explanation:

24 is a common multiple so ill just use that as a denominator:

3/8 = 9/24

1/3 = 8/24

1/4 = 6/24

so then adding those up:

[tex]\frac{9}{24}[/tex] + [tex]\frac{8}{24}[/tex] + [tex]\frac{6}{24}[/tex] = [tex]\frac{23}{24}[/tex]

then whats left is 1/24 left to read, which cant be simplified so [tex]\frac{1}{24}[/tex]

Answer:

   [tex]\frac{1}{24}[/tex]

Step-by-step explanation:

Let x be the part of the book he read on fourth day.

[tex]\frac{3}{8} + \frac{1}{3} + \frac{1}{4} + x = 1[/tex]

[tex]LCM \ of \ 8, 3 , 4 = 24.\ Therefore , \\\\[/tex]

[tex]\frac{3}{8} + \frac{1}{3} + \frac{1}{4} + x = 1\\\\\frac{9 + 8 + 6 + 24x}{24} = 1\\\\23 + 24x = 24\\24x = 1\\x = \frac{1}{24}[/tex]

[tex]On\ the\ fourth\ day\ he\ read\ \frac{1}{24} \ of\ the\ book\ to\ finish\ it.[/tex]

2) La expresión 7∙7∙7∙7 es igual a:
a) 47
b) 4+7
c) 47
d) 74

Answers

d) 7^4
because 7•7•7•7 is 7 to the power of 4

Answer:

d) 7⁴

Step-by-step explanation:

7 ∙ 7 ∙ 7 ∙ 7

cuatro sietes = siete elevado a cuatro

d) 7⁴

please help!! i need help asap <33

Answers

Answer:

9

Step-by-step explanation:

what multiples to -52 but also adds to 24

Answers

Answer:

-2 and 26

Step-by-step explanation:

-2*26=-52

-2+26=24

Now that you know how long it will take to buy your house from Assignment 4 and how much you need to save for retirement given different start times in your life (Assignment 5), you will now determine the time you will start saving for retirement. Add the savings time it takes to buy your house (2 years or the months you calculated, whichever is greater) to the age 22. By using the new budget from assignment 4, determine if you can afford the savings it takes from assignment 5 to retire with $1,000,000 based on your new age after buying your house. If you cannot, you have a choice, change your budget, or retire will less money.

For your answer, tell me your age, if you can afford in your budget to retire with $1,000,000. If you can, write your budget with the retirement savings added in. If you cannot, write that you cannot afford it and tell me if you are going to change your budget to afford it or simply retire with less money. Then write your budget with what savings you can afford. Remember, retiring with less money does not mean that you will have a smaller retirement income, it just means that you will pass on less than a million dollars to your children.

Answers

Answer:

You  have to answer this yourself because i believe this quesstion is directed to you and your teacher want's to know your answer

Step-by-step explanation:

Determine the length of the radius of the circumscribed circle to the right triangle with the legs 7 cm and 4cm.Round your answer to the nearest hundredth

Answers

Answer:

4.03cm

Step-by-step explanation:

Note that the diameter of the circumscribed circle to the right triangle is the hypotenuse of the triangle.

To get the diameter, we will use the pythagoras theorem as shown;

d² = 7² + 4²

d² = 49 + 16

d² = 65

d = √65

d = 8.0622577

Since radius = d/2

radius = 8.0622577/2

radius = 4.0311288

Hence the radius of the circumscribed circle to the nearest hundredth is 4.03cm

30 Points I NEED HELP ASAP MATH PROBLEM 7th Grade

Answers

Answer:

-45 =x

Step-by-step explanation:

1/5(4x-2.5) = 5(.4x+10) +3 1/2

Change all to decimal form

.2(4x-2.5) = 5(.4x+10) +3.5

Distribute

.8x - .5 = 2x +50 + 3.5

Combine like terms

.8x - .5 = 2x +53.5

Subtract .8x from each side

.8x-.8x - .5 = 2x-.8x +53.5

-.5 = 1.2x +53.5

Subtract 53.5 from each side

-.5 -53.5 = 1.2x +53.5-53.5

-54 = 1.2x

Divide each side by 1.2

-54/1.2 = 1.2x /1.2

-45 =x

How do this I can’t do it?

Answers

Answer:

scale factor = [tex]\frac{1}{3}[/tex]

Step-by-step explanation:

The scale factor is the ratio of corresponding sides, scaled copy to original

scale factor = [tex]\frac{3}{9}[/tex] = [tex]\frac{1}{3}[/tex]

An article is bought for Rs 8600 and is sold at a profit of 20 %. Find its selling price.

Answers

Selling price = 8600 + Profit

Selling price = 8600 + ( 8600 × 20/100 )

Selling price = 8600 + ( 86 × 20 )

Selling price = 8600 + 1720

Selling price = Rs 10,320

A tool box has the dimensions of 10 in by 4 in by 7 in. If Magnus plans to double all three dimensions to build a larger tool box, he believes he would double the volume of the tool box. Is he correct?

Answers

Answer: No. He's wrong.

Step-by-step explanation:

Since the tool box has the dimensions of 10 in by 4 in by 7 in. The volume will be:

= 10 × 4 × 7

= 280in³

When the dimensions are doubled, the new dimensions will be:

10 in = 10in × 2 = 20in

4in = 4in × 2 = 8 in

7in = 7in × 2 = 14in

The volume will now be:

= 20 × 8 × 14

= 2240in³

He is wrong, the volume isn't the double of the former tool box. The double of the former tool box will give (280in³ × 2) = 560in³. This is different from the new volume.

find the circumference of a circle with a radius of 2.5 cm

Answers

C=2*pi*r
2*3.141592654*2.5
Answer: 15.7 cm

reduce 50/80 to the simplest terms in fractions

Answers

Answer:

5/8

hope this helps

have a good day :)

Step-by-step explanation:

On a map, the distance between two towns is 12 centimeters. If 3 centimeters represents 90 miles, what is the actual distance between the cities in miles?

Answers

360 miles, I’m pretty sure

This question is worth 20 points and I will mark brainliest
which expressions are equivalent to 2 (3h + 7) choose "equivalent" or "Not equivalent" for each expression.


6h+7

2+3h+7

6h+7+7

3h+3h+14

(3h+7) + (3h+7)

Answers

Answer:

2(3h+7)

=6h+14

6h+7+7 (True)

3h+3h+14 (True)

Simplify cos 0 csc 0.
a. cos 0
b. cot 0
c. tan 0
d. sin 0
Please select the best answer from the choices provided A B C D

Answers

Answer:

b cot

Step-by-step explanation:

csc= 1 over sin

so

cos x  1    =  cos  =  cot

 1      sin      sin

Help. I don't understand..

Answers

Answer:

3

Step-by-step explanation:

Answer:

75.4

Step-by-step explanation:

All angles in a triangle should equal 180, so the lil dash on K's side means angle K is the same as J

so 52.3+52.3=104.6

and 180-104.6 is 75.4

hope i helped and feel free to ask questions

17. Jing has $800 to deposit into two different savings accounts.
•She will deposit $600 into an account that earns simple interest annually at a rate
of 2.75%.
•She will deposit $200 into an account that earns 2.5% interest compounded
annually.
Jing will not make any additional withdrawals or deposits. Which amount is closest
to the total balance of the two accounts at the end of 3 years?

Answers

Answer:

$864.88

Step-by-step explanation:

(1. $600 + $49.50 = $649.50

(2. $200 + $15.38 = $215.38

$649.50 + $215.38 = $864.88

A = $864.88

A. 7/24
B. 24/7
C. 24/25
D. 7/25

Answers

Answer:

d

Step-by-step explanation:

Which statement is correct?

Answers

The answer is a hope it Helpe

Answer:

Fresh water is evenly distributed throughout the earth.

Step-by-step explanation:

Freshwater exists on Earth's surface in lakes, rivers, and ice, as well as below the surface as groundwater.

Hope this answer helps you :)

Have a great day

Mark brainliest

What is the area of this triangle?

Answers

Area is 1/2•b•h so 25

Graph a-7<-4


Will give brainlest

No links!!!!

Answers

Answer:

[tex]a\leq 3[/tex]

Step-by-step explanation:

[tex]a-7\leq -4,\\a\leq3[/tex]

When graphed, an arrow should be drawn pointing left with a solid dot on -3. Since the inequality line provided is not labelled, choose any vertical line and mark it as -3. Then add a solid circle and draw an arrow left, representing that the solutions of this inequality are all real numbers less than -3.

the table shows some of the solutions for an inequality related to the line shown in the graph. which inequality describes the solution set?

Answers

Answer:

Option B

Step-by-step explanation:

By plotting the points given in the table,

All points lie below the dark red line.

Let the equation of the line is,

y - y' = m(x - x')

Here, m = Slope of the line

(x', y') is a point lying on the given line.

Slope of the line passing through two points (-1, 3) and (0, 1) = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

m = [tex]\frac{3-1}{-1-0}[/tex]

m = -2

Therefore, equation of the line passing through (0, 1),

y - 1 = -2(x - 0)

y = -2x + 1

Since all the points given in the table lie below the dark red line so the solution are will be,

y ≤ -2x + 1

Option B will be the correct option.

i will give brainliest!! please help me, i appreciate it !!

Answers

Answer:

-4050

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Step-by-step explanation:

Step 1: Define

Identify

6x²y³ - 2x + 10

x = 5

y = -3

Step 2: Evaluate

Substitute in variables:                                                                                     6(5)²(-3)³ - 2(5) + 10Exponents:                                                                                                        6(25)(-27) - 2(5) + 10Multiply:                                                                                                             -4050 - 10 + 10Add:                                                                                                                   -4050

The Martinez family picked 3 lb of apples. Ana picked for those apples,

How many pounds of apples did Ana pick?

Answers

Answer:

C. 7/8

Step-by-step explanation:

The Martinez family picked 3 and one-half pounds of apples. Ana picked one-fourth of those apples. How many pounds of apples did Ana pick?

options

A. 1/4

B. 3/4

C. 7/8

D. 1 1/4

E. 3 1/8

Total apples the Martinez family picked = 3 1/2 pounds

Ana picked one-fourth of those apples.

Number of apples Ana picked = 1/4 × 3 1/2 pounds

= 1/4 × 7/2 pounds

= (1 * 7) / (4 * 2) pounds

= 7/8 pounds

Ana picked 7/8 pounds of apples

Jackie has 54 fewer beads then sally. If B stands for the number of beats Jackie has, write an expression that represents the number of beats Sally has?

Answers

Answer:

B+54

Step-by-step explanation:

If Jackie has B beads, and Sally has 54 more than that, then you are adding 54 to B

What is the factorization? x2 + x – 12

Answers

Answer:

(x+4)(x-3)

Step-by-step explanation:

Jorge has saved $15.50. Janet saved 15 of the amount that Jorge saved. Rob saved 12 times as much as Janet. What is the total saved amount of all three?

Answers

Answer: 45.725 ( i think)

Step-by-step explanation: 2.325 + 27.9 + 15.50

45.725 is the answer

PLEASE HELP 30 POINT AND BRAINLIEST

Answers

Answer:

first is 2 second is 3

Step-by-step explanation:

Other Questions
Which of the following best estimate the sum 1/2+1/3 What is the definition of power. If 1.00 mol of an ideal monatomic gas initially at 74 K absorbs 100 J of thermal energy, what is the final temperature I NEED HELP! I'll make brainliest!The ages of 10 boys are listed below.7, 6, 8, 6, 8, 7, 8, 7, 8, 6Which of the following best describes the data?1.The data have range 2, and are otherwise unrelated.2.The data are evenly distributed, with mean 7.1.3.The data contain outliers, so the mean is not the best measure.4.The data have no mode. Judah rides his bike 15 miles in 1/2 an hour. How many miles does he ride in one hour? can someone help me with this question lol, ill mark as brainliest if correct MARKING BRAINLIEST IF RIGHT! 1.) Which of the following types of sale celebrates yearly events?A.) closeoutB.) seasonalC.) traditionalD.) specials How did the Revolutionary War lead eventually to American patriotism what is 5+9 brainliest HELP PLSSWrite the percent as a fraction and as a decimal. 3/15% What are the center and radius of the circle defined by the equationx2 + y2 - 6x+8y +21= 0 ? What is the mettre expression for se fcher? which rhetorical strategy is an author using if he uses strong and specific evidence to makes sure they are avoiding hasty generalizations The human eye has two lenses.O trueO False PLEASE HELP ME I WILL GIVE BRAINLIEST TO WHOEVER GETS RIGHTAnthony deposits 1,250 in a savings account with an interest rate of 6% if the Interest rate is compounded monthly than the account balance after t years is given by the expression below 1250(1+0.06/12)^12t what does (1+0.06/12t) represent hey can yall please help me its 4'1 minuse 1'10 PLEASE HELP WHATS THE VOLUME Gerritt wants to buy a car that costs $28,250. The interest rate on his loan is 5.45 percent compounded monthly and the loan is for 5 years. What are his monthly payments Aaron is considering two health insurance plans. The Get Well Soon Company charges an annual fee of 100 plus 10 per doctor visit, given y=100+10x. The Mega Coverage Company charges $35 per doctor, with no annual fee, represented by the equation: y=35x. Which insurance company has the LOWER rate and what is the rate? Conoces alguna forma de organizacin, comida, indumentaria, herramientas, lengua u oficios del lugar donde vives que sean de origen Virreinal?