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Alex
3 years ago
10

Please help me understand how to do this

Mathematics
2 answers:
MrRa [10]3 years ago
6 0
Whenever you have something to the negative power, it will result in a fraction. So, if you have seven to the second power, it would be 49, and then you turn that into a fraction, which would be 1/49.
CaHeK987 [17]3 years ago
4 0

Answer:

D

Step-by-step explanation:

Since the exponent 2 is negative, you will need to make it positive first. In order to do so, you can put 7^2 in the denominator. (If the original question was 1/7^-2 you could put 7^2 in the numerator to cancel out the negative). By doing this, the negative is removed and you are able to answer the question as 1/7^2 . The answer would then be D, since 7^2 is 49, but you put the number in the denominator because of the negative exponent.


I hope this makes sense!


(also: I am not exactly positive as to what standard form would be with just one number and an exponent, so I answered this as I have learned in my math classes.)

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GUYS I NEED HELP PLSSSSSS! Ive been working on this ALL day!
Vika [28.1K]

First, let's write what we know.

We can represent the number of students in the play from each class as L, G, and C. We know that L = 7, and if Gardener has 4 more students than Cho, then G = C + 4.

Then, taking the third line, we can write an inequality:

C < L < G

C < 7 < C + 4

C - 4 < 3 < C

3 < C < 7

If C is greater than 3 and less than 7 and is an integer, than means C is 4, 5, or 6.

Then, we need to find how many students are in the play.

C + L + G

C + 7 + C + 4

2C + 11

So we have our expression for the number of students in the play. Then, we need to find the total number of students. We know that 2C + 11 will be 30% of the total, so if T is the total, we can find T.

0.3T = 2C + 11

(Divide by 3/10 or multiply by 10/3 on both sides)

T = 20/3 C + 110/3

We know from before that C is 4, 5 or 6. We can plug these into our equation here to find which one produces a whole number.

T = 20/3 * 4 + 110/3

T = 190/3

T = 20/3 * 5 + 110/3

T = 210/3

T = 70

T = 20/3 * 6 + 110/3

T = 230/3

We can see here that only when C is 5 will the total be a whole number. That means Mrs. Cho has 5 students in the play. If Mrs. Gardner has 4 more than that, she has 9 students in the play in her class.  We now need to figure out the number of student in her class.

The total students are Cho's, Logan's, and Gardner's classes added together. We know that Logan's class is 23 students, so if we subtract that from the total, we can see that Cho's and Gardner's class have 47 students. If Mrs. Cho has 24 students in her class, we can subtract that from the 47, so we know that Mrs. Gardner has 23 students in her class.

4 0
3 years ago
What is the solution to the given inequality?
xenn [34]

Answer: x ≤3

Step-by-step explanation:

Your answer is correct

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2 years ago
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Answer:

Step-by-step explanation:

4x^2-16x-9.\\Writ -16x - as -a -difference\\ 4x^2 +2x-18x -9 \\Factor -out- common- terms\\2x(2x+1)-9(2x+1)\\ Factor -out (2x+1)\\(2x+1)(2x-9)

I Hope It Helps :)

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