What is 4 2/7 * 2 1/5 Express the answer in simplest form.

Answers

Answer 1

Answer: $4(2)/(7)\cdot2(1)/(5)=(4\cdot7+2)/(7)\cdot(2\cdot5+1)/(5)=(30)/(7)\cdot(11)/(5)=(30:5)/(7)\cdot(11)/(5:5)=(6)/(7)\cdot(11)/(1)\n\n=(6\cdot11)/(7\cdot1)=(66)/(7)=\boxed{9(3)/(7)}$

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A solid pyramid of height 40 cm with a square base of sides 30 cm each is put into a tank of sides 40 cm each. the tank is then filled with water. if the pyramid is removed, find the depth of water in the tank.

Answers

So you have to find the volume of the tank, and the volume of the pyramid. Then subtract the volume of the pyramid from that out of the tank. The formula for pyramid is v = lwh/3. For the tank (which is a cube in this case) It's any given side cubed.

40*30*30 = 3600/3=1200cm cubed
40^3 = 6400cm cubed

6400-1200=5200cm^3 of water

(If you don't get this answer then I may have made a calculation error as I did this quickly in my head, just check my answer and yours to see)

Examples of whole numbers

Answers

Whole numbers are numbers that begin with 0 and go on indefinitely.

Examples of whole numbers.

642,000

983

1,000,001

982,344

Whole numbers is the set of all counting numbers plus zero.
For exemple: 1, 2, 3, 10, 123, 654, 9988, 10100, 1234567890.

If 3x-1=11,what is the value of x^2+x

Answers

We can set the 2nd equation to y that way we have something to solve for
$\left \{ {{3x-1=11} \atop {x^2+x=y}} \right.$
First we solve our first equation by moving the one to the other side
$3x=12$
Then we divide by 3 on each side
$x=4$
So now we can plug 4 into the x's of the 2nd equation
$4^2+4=y\n 16+4=y\n 20=y$

How to solve 42 = 8m + 13m

Answers

The solution to the equation 42 = 8m + 13m is m = 2.

Here, we have,

To solve the equation 42 = 8m + 13m, you can combine like terms and isolate the variable "m".

Here's how you can do it step by step:

Combine the like terms:

42 = (8 + 13)m

Simplify:

42 = 21m

Divide both sides of the equation by 21 to isolate "m":

42/21 = (21m)/21

Simplify further:

2 = m

Therefore, the solution to the equation 42 = 8m + 13m is m = 2.

To learn more on equation click:

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Step one: Add 8m + 13m
21m.

21m = 42.

Step two: Divide 42 by 21.

m = 2.

A red candle is 11 2/5 inches tall. The label claims that the candle will melt 1 1/8 inch every hour it burns. If the label is correct, for how many hours will the candle burn?

Answers

$11(2)/(5)\ inches\ burn\ in\ x\ hours\n\n1(1)/(8)\ inches\ burn\ in\ 1\ hour\n\ncross\ multiplication\n\n11(2)/(5)=1(1)/(8)x\ \ \ \ | divide\ by\ 1(1)/(8)\n\n((57)/(5))/((9)/(8))=x\n\n(57)/(5)*(8)/(9)=x\n\nx=(456)/(45)=10(2)/(15)\n\nCandle\ will\ burn\ in \ 10(2)/(15)\ hours.$

What multiples of 2 are not factors of 24?

Answers

a factor of 24 is a number that can be multilied by another number (normally whole (not fraction or decimal) numbers)

so a factor must be less than the number

any multiple of 2 greater than 24 will work so
just any even number greater than 24 exg 26,28,30,32,34,36,38,40,42,44,46,48,50,52,54,56,58,60, and so on

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