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3 years ago

30% of what equals 60

Mathematics

2 answers:

Elan Coil [88]3 years ago

4 0

Answer:

30% of 200 equals 60.

Step-by-step explanation:

There is a formula we use to this specific type of problem. It's called the rule of 3.

30% - 60

100% - x

(60 * 100) / 30 =

6000 / 30 =

200

Step-by-step proof:

To prove our answer, what me must do is use another formula:

(200 * 30) / 100 = 60

6000 / 100 = 60

60 = 60

↑ Both numbers are equal (equation is true), therefore, our solution is correct.

Hope it helped,

BiologiaMagister

Elena-2011 [213]3 years ago

3 0

Create an inequality
x/60 = 30/100
x = 200
CHECK ANSWER: 200 x .30 = 60

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Temka [501]

Answer:

5^12

Step-by-step explanation:

index notation rules states that when there is a power inside AND outside the brackets, they shall multiply together. hence, we will multiply 3 and 2 so we will get 6 and thus the answer will be 5^6. Sike, that's not the answer, we forgot to multiply 5 with that power too... so we will get 25^6 because same power (outside brackey) will affect everything inside...

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3 years ago

the sum of the reciprocals of two consecutive even integers is 9/40. this can be represented by the equation shown 1/x + 1/(x+2)

Ivanshal [37]

Answer:

8, 10

Step-by-step explanation:

Multiplying the equation by the product of the denominators, we have ...

40(x+2) +40x = 9x(x+2)

80x +80 = 9x^2 +18x . . . . eliminate parentheses

9x^2 -62x -80 = 0 . . . . . . put in standard form

9x^2 -72x +10x -80 = 0 . . . prepare to factor by grouping

9x(x -8) +10(x -8) = 0 . . . . . factor pairs of terms

(9x +10)(x -8) = 0

Solutions are ...

x = -10/9 and x = 8

The integers are 8 and 10.

_____

<em>Comment on the attachment</em>

I find a graphing calculator to be a nice tool for solving these. It finds zeros easily, so writing the equation so it equals zero is a useful first step.