MATHEMATICS MIDDLE SCHOOL

Explain how you can find the missing number in 3 4/5 divide [ ] = 2 5/7 then find the missing number. I need help now please.

Answers

Answer 1

Answer:

find the missing number in 3 4/5 divide [ ] = 2 5/7

Let the unknown number be x

$(3 (4)/(5))/(x)=2(5)/(7)$

$3(4)/(5)$ can be written as $(19)/(5)$

$2(5)/(7)$ can be written as $(19)/(7)$

So equation becomes

$((19)/(5))/(x)=(19)/(7)$

We need to get x alone, so we multiply by x on both sides

$(19)/(5)=(19)/(7) *x$

Now to remove 9/7 we take reciprocal and multiply it on both sides

$(19)/(5) * (7)/(19) =(19)/(7)* (7)/(19) *x$

$(7)/(5)=x$

The missing number is $(7)/(5)$

Answer 2

Answer: answer is 10 11/35

Because here you are finding an unknown, so you redo the problem.
The problem tells you to divide so the opposite is times the number
so 2 5/7 times 3 4/5 is 10 11/35

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Answers

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Step-by-step explanation:

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There are 15 black mice in a cage. The ratio of all mice to black mice is 5:1. How many mice are in the cage?

Answers

From the ratio 5:1 we know that all mice is 5 times more than black.
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Estimate the sum of 196 and 482

Answers

196
+
482
______
678 (HA!)

The phrases "sum of" & "and" indicates this is an addition problem

196 -> 200

482 -> 480 or 500

200+480=680

100+500=600

Micah construct a rectangular prism with a volume of 360 cubic units the height of his prism is 10 units Micah claims that the base of the prism must be a square draw a base that shows his claim is incorrect

Answers

Given:
rectangular prism
volume of 360 cubic units
height is 10 units

Volume = length * width * height
360 cubic units = lw * 10 units
360 / 10 = lw
36 = lw

The only measure of the sides of a square base is 6 units. 6 is the square root of 36.

To prove that the base of the prism is not a square, its measure should be

length = 9 ; 18 ; 12
width = 4 ;   2 ; 3

V =   9 x 4 x 10 = 360
V = 18 x 2 x 10 = 360
V = 12 x 3 x 10 = 360

The following table list two investment plans, A and B. Given this information, determine which investment is an ordinary annuity and the future value of the ordinary annuity after one year, given that both investments, A and B, compound interest monthly at the rate of 3.5%. Round to the nearest cent.