Three metallic tanks have the capacities of 447 litres, 577 litresand 669 litres. Find the capacity of the largest container that can fill the tanks an exact number of times, leaving a remainder of 7 litres, 5 litres and 9 litres respectively. (3 marks)​

Answers

Answer 1

Answer:

44 litres

Step-by-step explanation:

We subtract the remainders from the amounts.

447 - 7 = 440

577 - 5 = 572

669 - 9 = 660

Now we need the GCF of 440, 572, 660

440 = 2³ × 5 × 11

572 = 2² × 11 × 13

660 = 2² × 3 × 5 × 11

GCF = 2² × 11 = 44

The greatest common factor is 44.

Answer: 44

Check:

447/44 = 10 reminder 7

577/44 = 13 remainder 5

669/44 = 15 remainder 9


Related Questions

I need this answered I’ll give brainliest

Answers

Answer:

x = 52

Step-by-step explanation:

49° is the vertical angle of the triangle.

-> measure of other angle of triangle = 49°

By exterior angle theorem:

x° + 49° = 101°

-> x° = 101° - 49°

-> x° = 52°

-> x = 52

When two lines intersect, the opposite (X) angles are equal. [ so the bottom left angle of the triangle is 49° ]

a line is equal to 180° degrees therefore supplementary angles add to 180° [ so the bottom right angle of the triangle is 180° - 101° = 79° ]

The three interior angles of a triangle will always have a sum of 180°.
so
x° + 49° + 79° = 180°
x ° + 128° = 180°
x° = 52°

x = 52

I hope this helps and is the BRAINLIEST!!

Good luck with your studies!

If 7 4/5 of the total came to 109,200, what is the total?

Answers

let’s divide this fully into 5ths to make it easier.

7 and 4/5 also equals 39/5.
39 is what we call a prime number so we can’t factor 109200 with it, so all we have left that we can do is divide.
109200/39=$2800
$2800 is 1/5 of the total, so just multiply that by 5 and you have your answer!
2800x5=$14,000.

two numbers have difference of 6 and a mean of 11. Find the numbers.

Answers

Mean is average 11 x 2 = 22

The two cards need to equal 22 when added together.


the difference is 6:

6/2 = 3

11-3 = 8

11+ 3 = 14

14 +8 = 22


the two numbers are 8 and 14

find the area of a circke with a radius of 9 mm. round to the nearest tenth. use 3.15 or 22/7 for Pi.​

Answers

Answer:

254.3 mm^2

Step-by-step explanation:

Area of a circle: A = π*r^2

π (pi) = 3.14

r (radius) = 9 mm

Substitute 3.14 for pi and 9 for radius:

A = π*r^2

A = 3.14*9^2

A = 3.14*81

A = 254.34 mm^2

Round to the nearest tenth:

254.34 ==> 254.3

Therefore, our final answer is 254.3 mm^2

Hope this helps!

pls help and do quick!

Answers

Answer:

If 50.24cm = Circumference

Radius = 8cm

If 50.24cm^2 = Area

Radius = 4cm

Step-by-step explanation:

50.24cm what? Circumference? Area?

π = 3.14

2πr = Circumference

50.24 / 2π = r

r = 8

πr^2 = Area

50.24 / π = r^2

r^2 = 16

r = 4

Malaya and Peyton run a race. Malaya takes 42 seconds to run the race. She is 7 seconds faster than Peyton. How many seconds does Peyton take?​

Answers

are you kidding me?? just subtract 7 from 42. the answer is 35!! peyton took 35 seconds to run the race.

Answer:

35 seconds

Step-by-step explanation:

Subtract 42 from 7

then you'll 35 secs

DIRECTIONS: Type your answer in the space provided. The slope must be in fraction form.
What is the equation of the line parallel to the given line through the point (14,0)?

-4x - 7y = 14

Answers

DIRECTIONS: Type your answer in the space provided. The slope must be in fraction form.
What is the equation of the line parallel to the given line through the point (14,0)?

-4x - 7y = 14

The product of a number and 8 is equal to the sum of the number and 13 .

Answers

Answer:

n*8 = n+13

Step-by-step explanation:

To find the equation, we must first disect the sentence.  A product of a number and 8. This means a number times 8. A number n times 8. n*8.  Next, is equal to. This means add an equal to sign after n*8.  n*8 = . The sum of the number (n) and 13. This means n+13.  So, put it all together:

n*8 = n+13

\frac{x^2+9x+14}{x^2+10x+16}
x
2
+10x+16
x
2
+9x+14

Answers

Answer:

(x+7)(x+2)

(x+2)(x+8)

Step-by-step explanation:

PLEASE MARK ME AS BRAINLIST

Which expression best represents the opposite of the opposite of 8-
812
1
A -(+81
B -(-81)
c +(-81
D+(+84)
A rectangle is 8 feet long. Its width is

Answers

Answer:

b

Step-by-step explanation:

opposite of 8- i tried sorry its because im a 4th grader

use the distribute propty to write an expression that is equlavent to 8

Answers

Answer:

8(a+4)=8a+32

Step-by-step explanation:

Mrs. Cochran bought 1.5 lb. of ground beef.
How many ounces did she buy?

Answers

Answer:

24 oz

Step-by-step explanation:

16 oz to a pound

16 x 1.5 = 24 oz

Answer:

24 ounces

Step-by-step explanation: One pound equal 16 ounce plus a half a pound which is 8 equals 24

Find the image of Y(-7,4) after a dilation centered at the origin with a scale factor of -3

F= Y(-21,12)
G=Y(12,-21)
H=Y(21,-12)
J=Y(-12,21)

Answers

Answer:

H = Y (21, -12)

Step-by-step explanation:

Given

Y = (-7, 4)Dilation of -3

Solving

Multiply the x-value and y-value of the coordinate by -3Y = (-7 x -3, 4 x -3)Y = (21, -12)

The required image point is H=Y(21, -12)

What will happened with scale factor ?

If the scale factor is given then by multiplying the scale factor with the co-ordinates gives us the image of the given point.

How to find the required image point ?

Here the given point is Y(-7, 4)

After the dilation centered at origin, the scale factor is -3

∴ The x co-ordinate is (-7)×(-3)=21

& the y co-ordinate is 4×(-3)= -12

Hence the image is Y(21, -12)

Learn more about scale factor here :

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Graph the piecewise function.

Answers

Answer: First Option is correct.

Step-by-step explanation:

Since we have given that

\begin{gathered}f(x)=-x+1,x < 0\\\\f(x)=x+1,x\geq 0\end{gathered}

f(x)=−x+1,x<0

f(x)=x+1,x≥0

If we let f(x)=y

then, y=x+1 and y=-x+1

Put x=0,

\begin{gathered}y=0+1\\\\y=1\end{gathered}

y=0+1

y=1

so, there must be coordinate on y -axis at 1.

and it must take Ist and II nd quadrant .

Hence, First Option is correct.

Given the objective Function: Revenue = 75x+85y and the critical points: (0,0) (180,120) (300,0)

Answers

Answer

(180,120)

Cannot be determined

Step-by-step explanation:

Fax

The critical point with the maximum revenue is at (180,120)

How to determine the critical point with the maximum revenue?

The objective function is given as:

Revenue = 75x+85y

The critical points are (0,0) (180,120) (300,0)

Substitute these points in the objective function.

Revenue = 75(0)+ 85(0) = 0

Revenue = 75(180)+ 85(120) = 23700

Revenue = 75(300)+ 85(0) = 22500

The maximum revenue is 23700.

Hence, the maximum revenue is at point (180,120)

Read more about objective function at:

https://brainly.com/question/16826001

a cube has a volume of 1 cubic unit. what is the perimeter of one of its face

Answers

Answer: One face of a cube has a perimeter of a+a+a+a=4a.

The required perimeter of one of the faces of the cube is 4 units.

Given that,
A cube has a volume of 1 cubic unit. what is the perimeter of one of its faces is to be determined.

What is the perimeter?

Perimeter is the measure of the figure on its circumference.

What is a cube?

A cube is defined is a regular 3-dimensional structure whose dimension at every section is identical.

Here,
According to the question,
Area of the square = 1 cubic unit
a² = 1
a = 1
Now,
The perimeter of the square = 4a
                                                = 4 (1) = 4 units

Thus, the required perimeter of one of the faces of the cube is 4 units.

Learn more about perimeter here:

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I'm as stuck as stepsis in the dryer.

Answers

The area equation for the given rhombus is:

A = (x^2 + 2x - 8) m^2

So the correct option is the second one.

How to get the area of the rhombus?

For a rhombus of diagonals d₁ and d₂, the area is given by:

A = (d₁*d₂)/2

In this case, we have:

d₁ = (2x + 8)m

d₂ = (x - 2)m

Then the area equation is:

A = (1/2)*(2x + 8)*(x - 2) m^2

A = (x + 4)*(x - 2) m^2

A = (x^2 - 2x + 4x - 8) m^2

A = (x^2 + 2x - 8) m^2

So the correct option is the second one.

If you want to learn more about areas, you can read:

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16 + 40 ÷ 4 + (13 - 9)2

Answers

Step-by-step explanation:

= 16 + 40 ÷ 4 + ( 13 - 9 ) 2

= 16 + 40 ÷ 4 + 4 × 2

= 16 + 10 + 4× 2

= 16+ 10 + 8

= 34

The other person was correct the answer is 34


solve 650(1+.045) with an exponent of 3

Answers

Answer:

741.75798\dots

Step-by-step explanation:

\mathrm{Add\:the\:numbers:}\:1+0.045=1.045

1.045^3=1.141166125

\mathrm{Multiply\:the\:numbers:}\:650\cdot \:1.141166125=741.75798\dots

A bag contains 10 yellow cubes, 5 red cubes, and 15 blue cubes. Determine whether the following event is impossible, unlikely, as likely as not, likely, or certain.
A red cube is randomly drawn from the bag.

Answers

Answer:

I would say likely.

Step-by-step explanation:

I hope this helps.

HURRY AND TY !!!!!!!! ​

Answers

Answer:

17

Step-by-step explanation:

5 ft 3 inches = 63 inches

3 ft 10 inches = 46 inches

63-14 = 17 inches

Answer:

17 inches

1 foot 5 inches

Step-by-step explanation:

1 foot = 12 imches

First we multiply :)

5 x 12 = 60

3 x 12 = 36

Now we add on the already there inches :)

60 + 3 = 63

36 + 10 = 46

Finally we subtract :)

63 - 46 = 17

17/12 = 1 foot 5 inches :)

Have an amazing day!!

Please rate and mark brainliest!!

please help :)))))) <33

Answers

Answer:

56

Step-by-step explanation:

You need to divide 20/16 and 70*z to find the missing length.

find the value of x in 7x =1​

Answers

Answer:

[tex]\displaystyle \large{x=\dfrac{1}{7}}[/tex]

Step-by-step explanation:

Given:

[tex]\displaystyle \large{7x=1}[/tex]

Divide both sides by 7:

[tex]\displaystyle \large{\dfrac{7x}{7}=\dfrac{1}{7}}\\\displaystyle \large{x=\dfrac{1}{7}}[/tex]

Therefore, the solution is x = 1/7

Answer:

[tex]x =\frac{1}{7}[/tex]

Step-by-step explanation:

Find the value of x in 7x = 1​

[tex]7x = 1 < == divide\ both\ sides\ by\ 7\\\\\frac{7x}{7}=\frac{1}{7}\\\\ x =\frac{1}{7}[/tex]

Hope this helps!

The cost of attending an amusement park is $15 for children and $35 for adults on a particular day the attendance at the amusement park is 25,000 attendees and the total money earned by the park is 600,000 use a given matrix equation to solve for the number of children tickets sold

Answers

The total number of children tickets sold on the particular day is; 13750.

What is the total number of children tickets sold?

It follows from the task content that;

x + y = 25,000

15x + 35y = 600,000

On this note, it follows that the total number of children and adult tickets sold on that particular day is; x and y respectively.

Upon solving the equation simultaneously, x=13750.

Hence, the total number of children tickets sold is; 13750.

Read more on Simultaneous equations;

https://brainly.com/question/16863577

Answer:

13,750

Step-by-step explanation:

Switch values a and d value a 1 and value d 35 and then after that make values b and c negative so turn value b 1 into -1 and turn value c 15 into -15 and then follow this method a×d-(-b)×(-c) so like this 1×35-(15)(1)= 35-15=20 and thats the determinant so then you do put it on a fraction below 1 so like this 1/20 times the top part of the matrix (35 -1 ) and the bottom part of the matrix (-15 1) so mulitply every value by 0.05 so we end up with the top part of the matrix (1.75 -0.05)

and the bottom part of the matrix (-0.75 0.05) and then we multiply them like this

1.75(25,000) + (-0.05)(600,000)= 43,750 - 30,000= 13,750

-0.75(25,000) + 0.05(600,000) = -18,750 + 30,000= 11,250



so the missing matrix is

(13,750 11,250)

so the number of childrens tickets sold is 13,750

Line a is perpinduclar to Line B. If the slope of Line A is 3/7 what is the slope of Line B?

Answers

Answer:

slope = - 7/3

Step-by-step explanation:

Slope of a line = m

 perpindicular slope = - 1/m

-1 / ( 3/7) = - 7/3

Which pairs of angles in the figure below are vertical angles?
Check all that apply.
A. ZRTP and ZATB
B. ZDTN and ZATP
C. ZATN and ZRTD
D. ZBTD and ZATP

Answers

Answer:

C & D because vertical angles have the same measures and thoses angles intersects each other

Step-by-step explanation:

The scale of a model train is 1 inch to 16.48 feet. One of the cars of the model train is $6$ inches long. What is the length, in feet, of the actual train car? Round to the nearest whole number.

Answers

Answer:

The scale of a model train is 1 inch to 13.5 feet. One of the cars of the model train is 5 inches long. What is the length, in feet, of the actual train car?

Algebra

Step-by-step explanation:

Find the volume of the figure below.

Answers

Answer:

B. 86.625

Step-by-step explanation:

To find the volume of a shape the formula is this, length x width x height. 5.5 x 4.5 x 3.5 = 86.625.

Please help

Select all of the non-real complex numbers in the given table.​

Answers

Answer:

All the expressions that have a negative in the radical

(Boxes 2, 3 5, and 6)

Step-by-step explanation:

You can't take the square root of a negative number. When you square a number, the product will always be positive.

Hope this helps!

Gloria is an artist. She sets a goal to paint 2 pieces every month. She has already painted 5 pieces. The number of pieces that Gloria will paint will depend on how many months for which she paints. Which statements describe the total number of pieces "p" Gloria will have painted after "t" months, if she meets her goal? Select all the statements that are true.

Answers

Answer:

O The independent variable is T and P is the dependent variable

O The P increases by 2 as T increases by 1

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After you eat a very salty meal, your intestinal concentration of salt might rise to 40 g/Liter. In this situation, what will happen to your cells For each of the ocean water changes listed below, indicate whether the water will sink or riseIncrease in salinityIncrease in temperatureFreezingDilution from river waterEvaporation from heat at the surface What are the last two digits of 7^1867? Chris works at a tire store. Chris can change a tire on a rim in 8 to 12 min, with all times in between equally likely. A) What is a probability that Chris changes a given tire in less than 9 min? b) What is the probability that it takes between 9 min and 11. 5 min? c) What is the probability that it takes exactly 10 min? where is Pacific located May I please get help?, Thanks. it costs 42 dollars for 12 cookies how much is 1 cookie Solve for xx = ? Please hurry! 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