What is the distributive property of 10+4(2+20)

What are the coordinates of the vertex for

Tamiku [17]

Answer:

Step-by-step explanation:

f(x) = 3x^2 + 6x + 3

a of s: -6/6 = -1

3(-1)^2 + 6(-1) + 3

3 - 6 + 3

-3 + 3 = 0

(-1,0)

answer is A. the first one

6 0

4 years ago

Atlantic auditorium has 850 seats. Tickets were sold for 816 of the seats. For what percent of the seats were the tickets sold?

Mariana [72]

Answer:

<u>96 percent</u> of the seats were the tickets sold.

Step-by-step explanation:

Given:

Atlantic auditorium has 850 seats. Tickets were sold for 816 of the seats.

Now, to find percent of the seats of the tickets sold.

Total number of seats = 850.

Tickets sold for the total seats = 816.

So, to find the percent of the seats of the tickets sold:

$\frac{816}{850}\times 100$

$=0.96\times 100$

$=96\%.$

Therefore, 96 percent of the seats were the tickets sold.

5 0

3 years ago

Tamara invests $8000 in two different accounts. The first account has a simple interest rate of 3% and the second account has a

Paraphin [41]

Answer:

$3200 at 3%
$4800 at 2%

Step-by-step explanation:

Interest earned is proportional to the interest rate, so if the interest earned is the same, the amounts invested must be inversely proportional to the interest rates. That is, for the 3% and 2% accounts, the ratio of money invested is 2:3.

In other words, 2/5 of the money ($3200) was invested at 3%, and 3/5 of the money ($4800) was invested at 2%.

_____

If you need an equation, you can let x represent the amount invested at the highest rate. Then 8000-x is the amount invested at the lower rate. For the interest in the two accounts to be equal, we have ...

3%·x = 2%·(8000-x) . . . . . the amounts of interest earned are the same

3/2·x = 8000 -x . . . . . . . . divide by 2%

5/2·x = 8000 . . . . . . . . . . . add x and simplify

x = 8000·(2/5) = 3200 . . . multiply by the inverse of the x coefficient

8000-x = 8000 -3200 = 4800 . . . . the amount invested at the lower rate

Tamara invested $3200 in the 3% account and $4800 in the 2% account.

_____

She earned $96 in each account for the year.

8 0

3 years ago

Please answer, thank you

photoshop1234 [79]

3 17/20

hope this is helpful :)

5 0

3 years ago

Read 2 more answers

How many 2-digit numbers are multiples of 2 but not 3?

WARRIOR [948]

Answer:

30 numbers

Step-by-step explanation:

Two-digit numbers divisible by 2 are basically just the even two-digit numbers: 10, 12, 14,...96, 98.

Let's collectively divide all these numbers by 2:

10/2 , 12/2 , 14/2 , ... 96/2 , 98/2

5, 6, 7, ... 48, 49

Now subtract 4 from each of them:

5 - 4, 6 - 4, 7 - 4, ... , 48 - 4, 49 - 4

1, 2, 3, ... , 44, 45

So there are 45 multiples of 2 that are two-digit numbers.

The numbers that are both multiples of 2 and 3 are those that are multiples of 6:

12, 18, 24, ... , 96

We want to count how many there are, so divide all these numbers by 6:

12/6 , 18/6 , 24/6 , .... , 96/6

2, 3, 4, .... , 16

There are 15 numbers that are multiples of 2 and 3, so subtract 15 from 45: 45 - 15 = 30

The answer is 30.

Hope this helps!

7 0

4 years ago