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2 years ago

An auditorium has 1,120 seats in 35 equal rows how many seats are in each row

Mathematics

1 answer:

elena55 [62]2 years ago

5 0

32 seats per row.

If you divide 1,120 by 35 you get the answer. Its basically saying, how many groups of how many seats make up the total number of seats.

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Simplify (3^5)^2/3^-2 3^10 3^9 3^8 3^12

enyata [817]

Answer:

3^10

Step-by-step explanation:

7 0

2 years ago

Enrollment in a dance studio has grown exponentially since the studio opened. A graph depicting this growth is shown. Determine

denis23 [38]

Answer:

Option (4). 25%

Step-by-step explanation:

The graph attached shows the exponential growth.

Let the graphed function is y = $(1+\frac{r}{100})^{t}$

Here 'r' = Rate of growth

t = Duration of time in years

y = enrollments after time 't' years

Graph shows at time 't' = 0 or initially number of enrollments = 20

After 8 years number of enrollments will be

120 = $20(1+\frac{r}{100})^{8}$

$\frac{120}{20}=(1+\frac{r}{100})^{8}$

6 = $(1+\frac{r}{100})^{8}$

log 6 = $8\text{log}(1+\frac{r}{100})$

0.77815 = $8\text{log}(1+\frac{r}{100})$

$\text{log}(1+\frac{r}{100})$ = 0.0972689

$(1+\frac{r}{100})=1.251$

$\frac{r}{100}=0.251$

r = 25.1%

r ≈ 25%

Therefore, Option (4) will be the answer.

5 0

2 years ago

Emily baked 3 batches of sugar cookies each. She ate 2 of the cookies and gave 10 of them to her neighbor. In return, her neighb

Vikentia [17]

Answer:

The answer is 198.

Step-by-step explanation:

First you need to know how much is a batch of cookies which is 60. Since she made 3 batches that means you will need to multiply 3 by 60, which will give you 180 cookies. Next you will need to add 2 to 10 because thats how much were took. That equals 12. Subtract 12 from 180 and that will give you 168. Last but not least you will need to add 30 because that is half the batch of cookies her neighbor gave to her. So 168 plus 30 equals 198.

7 0

2 years ago

Given h(x) = 3x + 4, find h(-1).

larisa86 [58]

Plug in -1 for x
h(-1) = 3(-1) + 4
h(-1) = -3 + 4
Solution: h(-1) = 1

6 0

2 years ago

If the discriminant of a quadratic equation is equal to -8, which statement describes the roots?

sp2606 [1]

Answer:

Step-by-step explanation:

A discriminate of -8 is never going to give you a real root. D is wrong

You cannot have just 1 complex root, nor can you have just 1 real root unless the discriminate is 0. A and C are both wrong for the same reason. 1 complex root is impossible. They come in pairs.

So the answer is B. You have 2 complex roots.

7 0

2 years ago