A ______ is e ratio of a number to 100

Simplify: 3^2 · 3^4 A) 3^6 B) 3^8 C) 3^2 D) 9^6

bonufazy [111]

A. If you're adding numbers with exponents with the same base, keep the same base and add the values of the exponents together.

3^2 * 3^4 = 3^(2+4) = 3^6

8 0

3 years ago

What is the value of 3 ^ -3

mestny [16]

Answer:

$\frac{1}{27}$

Step-by-step explanation:

$3^{-3}\\=\frac{1}{3}^{3}\\=\frac{1}{27}$

5 0

3 years ago

katie collets stamp she has stamps from canada, United Staes,ands Rest of the world in a ratio of 1:1.2:1.5 she has 135 stamps f

lyudmila [28]

Answer:

90 stamps from Canada, 108 stamps from the United States, and 135 stamps from the Rest of the World

Step-by-step explanation:

Since this is a problem of proportion we can use the Rule of three to solve this. We do this by multiplying the diagonal available values and dividing by the third value in order to get the missing variable, which in this case would be the number of stamps in the other country. Like so...

1.5 <=====> 135 stamps

1.2 <=====> x stamps (United States)

(1.2 * 135) / 1.5 = 108 stamps (United States)

1.5 <=====> 135 stamps

1 <=====> x stamps (Canada)

(1 * 135) / 1.5 = 90 stamps (Canada)

Finally, we can see that Katie had 90 stamps from Canada, 108 stamps from the United States, and 135 stamps from the Rest of the World. All creating a ratio or 1:1.2:1.5

8 0

3 years ago

Brenda+said+that+5/2+divided+by+1/4+equals+10.+how+do+you+know+without+dividing+whether+brenda's+statement+is+reasonable?+justif

Lapatulllka [165]

Brenda would be correct, another way to find the answer would be to use the keep change flip method. Where you keep 5/2 change division to multiplication then flip 4/1. The equation would then be 5/2 * 4/1 then you just multiply straight across 5*4 = 20 and 2*1 equals 2. You end up with 20/2 which reduces to 10

6 0

3 years ago

34,000 people attended a ballgame at a stadium that offers two kind of seats: general admission and reserved. The day's receipts

hoa [83]

Answer:

The number of people who paid $ 12 for reserved seat is 5,000

The number of people who paid $ 4 for general seat is 29,000

Step-by-step explanation:

Given as :

The total number of people attending a ballgame = 34,000

The total receipt of the ticket's seat = $ 176,000

The amount pad for reserved seat = $ 12

The amount paid for general admission = $ 4

Let The number of people for reserved seat = r

And The number of people for general admission = g

Now, According to question

The total number of people attending a ballgame = The number of people for reserved seat + The number of people for general admission

or, r + g = 34,000 ...........1

The total receipt of the ticket's seat = The amount pad for reserved seat × The number of people for reserved seat + The amount paid for general admission × The number of people for general admission

Or, $ 12 × r + $ ×4 g = $ 176,000 .........2

or, $ 12 × ( r + g ) = $ 12 × 34000

Or, $ 12 r + $ 12 g = $ 408,000

Solving equation

( $ 12 r + $ 12 g ) - ($ 12 r + $ 4 g ) = $ 408,000 - $ 176,000

Or, ( $ 12 r - $ 12 r ) + ( $ 12 g - $ 4 g ) = $ 232,000

Or 0 + 8 g = 232,000

∴ g = $\frac{232000}{8}$

I.e g = 29,000

So , The number of people for general admission = g = 29,000

Put the value of g in Eq 1

I.e r + g = 34,000

or , r = 34,000 - g

∴ r = 34000 - 29000

I.e r = 5,000

So, The number of people for reserved seat = r = 5,000

Hence The number of people who paid $ 12 for reserved seat is 5,000

And The number of people who paid $ 4 for general seat is 29,000 Answer

6 0

3 years ago