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3 years ago

What is A number that when you add 4 and then divide the sum by 2 will equal 6.

Mathematics

1 answer:

Vladimir79 [104]3 years ago

5 0

To solve, I multiplied 6 by 2 and then subtracted 4 to get 8. I worked backwards.

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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

3 years ago

The fastest elevators in the Burj Khalifa can travel 330 feet in just 10 seconds. How far does the elevator travel in 12 seconds

e-lub [12.9K]

Answer:

The elevator will travel 396 feet in 12 seconds.

Step-by-step explanation:

10 secs = 330ft

330/10 = 33

10 * 33 = 330

Hence,

12 * 33 = 396

12 secs = 396 ft

Hope this helps :)

5 0

3 years ago

Read 2 more answers

A 6-ounce bottle of hand lotion costs $3.75. what is the unit price?

ruslelena [56]

$3.75/6 ounces
= 0.625 unit price

4 0

2 years ago

What is two fifths plus one fourth plus one tenth

drek231 [11]

Answer:

3/4

Step-by-step explanation:

2/5+1/4+1/10=8/20+5/20+2/20=（8+5+2）/20=15/20=3/4

7 0

3 years ago

during a bike challenge, riders have to collect various colored ribbons. each 1/2 mile they collect a red ribbon, each 1/8 mile

Natali [406]

The correct answer is: 
green and blue.

Explanation: 
We want to see which fractions $\frac{3}{4}$ is a multiple of. We know that $\frac{3}{4}$ is a multiple of $\frac{1}{4}$ , because $\frac{1}{4}$ *3= $\frac{3}{4}$ .

We can divide fractions to determine if $\frac{3}{4}$ is a multiple of $\frac{1}{2}$ :
$\frac{ \frac{3}{4}}{ \frac{1}{2}}$ ;

in order to divide fractions, flip the second one and multiply:
$\frac{3}{4}$ )* $\frac{2}{1}$ = $\frac{6}{4}$ =1 $\frac{1}{2}$ .
This did not divide evenly, so $\frac{3}{4}$ is not a multiple of 1/2.

Checking to see if $\frac{3}{4}$ is a multiple of $\frac{1}{8}$ , $\frac{ \frac{3}{4}}{ \frac{1}{8}}$ ;

flip the second one and multiply:
$\frac{3}{4}$ * $\frac{8}{1}$ = $\frac{24}{4}$ =6.
This divided evenly, so $\frac{3}{4}$ is a multiple of $\frac{1}{8}$ .

6 0

3 years ago

Read 2 more answers