Mathematics, 01.07.2019 03:40, neariah24

For each comparison, write the corresponding percent. a. 7 out of 100 b. 76 out of 100 c. 430 compared to 100 d. 600 compared to 100

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Hi!

To convert numbers to percents, we can set up proportions and cross-multiply.
I'm going to give you the answers for a, b, and c, but I want you to try to solve d! So make sure you pay attention to these instructions.

First, set up two fractions.
The first fraction will be the numbers you're turning to a percent. (for a, it is 7 and 100)
The second fraction will be x over 100. x is the percent we're trying to find.

Pro tip: Numbers over 100 are pretty much already percents! 7 over 100 is the same as 7%. Don't understand how? Let me know.

Okay, so let's set up our fractions.

$\frac{7}{100} \frac{x}{100}$

Now cross multiply and solve. (multiply the numerator of the first fraction by the denominator on the second fraction, then divide by the denominator on the first fraction) I hope that makes sense...

7 x 100 = 700
700/100 = 7

a. 7%

Now for b.

$\frac{76}{100} \frac{x}{100}$

Psst. Remember the Pro tip? It applies for all of these! But I'm going to show you how to solve them anyway just for clarification. :)

76 x 100 = 7600
7600/100 = 76

b. 76%

And last but not least, c.

$\frac{430}{100} \frac{x}{100}$

430 x 100 = 43000
43000/100 = 430

c. 430%

Now I'm 100% positive (ha, see what I did there!) that you can solve d. Give it a go! Write me a message with your answer and I'll double check it for you. Good luck! :D

Hope this helps! :)

answered: Guest

6(2x + 5y)6 (2x) = 12x6 (5y) = 30y12x + 30y

answered: Guest

the solution of the equation is 2.23 ⇒ answer b

step-by-step explanation:

* lets revise the meaning of exponential function

- the form of the exponential function is y = ab^x, where a ≠ 0, b > 0 ,

b ≠ 1, and x is any real number

- it has a constant base b

- it has a variable exponent x

- to solve an exponential equation, take the log or ln of both sides,

and solve for the variable

* lets solve the problem

∵ $7^{x}=77$

- the base is 7 and the exponent is x

- insert ㏑ in both sides

∴ $ln(7^{x})=ln(77)$

- use the rule $ln(a^{n})= nln(a)$

∴ x ㏑(7) = ㏑(77)

- to find x divide both sides by ㏑(7)

∴ $x=\frac{ln(77)}{ln(7)}=2.23$

* the solution of the equation is 2.23 to the nearest 2 decimal places

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For each comparison, write the corresponding percent. a. 7 out of 100 b. 76 out of 100 c. 430 compar...