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leva [86]
3 years ago
15

in the month of November a dance troupe had 150 members. In December there was a 20% decrease in the members. In January there w

as a 20% increase from the month before. How many members were in January?
Mathematics
1 answer:
Marat540 [252]3 years ago
8 0
Hello!
When I do something with percentages I always look at it as if it was a fraction. When there is a decrease of 20%, it means that you keep 80 percent of the 100 percent, so 80/100. To calculate this, we devide 150 by 100 (1.5) and then multiply by 80 (120)

We do the same thing for January, only this is an increase, so 120 percent. the fraction is 120/100. 120 (where we left off) divided by 100 (1.2) times 120 is 144 members, this is your answer!

Hope this helped you!
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HI. Can you help???
Maslowich

Answer:

The maximum rate of change is between second 15 and second 19.

Step-by-step explanation:

See the attached table.

The table shows the total distance a spider traveled after a light was turned on.

Now, the average rate of change between two consecutive times in the table is given by  

= \frac{\textrm {Total change in Distance in feet}}{\textrm {Total change in Time in seconds }}

Therefore, between second 5 and second 11, the average rate of change = \frac{7 - 4}{11 - 5} = 0.5

Between second 11 and second 15, the average rate of change = \frac{13 - 7}{15 - 11} = 1.5

Between second 15 and second 19, the average rate of change = \frac{20 - 13}{19 - 15} = 1.75

Between second 19 and second 28, the average rate of change = \frac{24 - 20}{28 - 19} = 0.44

Therefore, the maximum rate of change is between second 15 and second 19. (Answer)

3 0
3 years ago
Based on the side lengths given (a, b, and o, which triangles are right triangles?​
Cloud [144]

Answer:

2 & 3

Step-by-step explanation:

Pythagorean Theorem is a^2+b^2=c^2.

If the values given in each option satisfy the theorem, the sides will make a right triangle.

<h3>For Option One:</h3>

4^2+6^2=8^2\\=> 4^2=16\\=> 6^2=36\\=>8^2 =64\\16+36=64\\\boxed{52\neq 64}

The sides would not make a right triangle.

<h3>For Option Two:</h3>

6^2+8^2=10^2\\=> 6^2 = 36\\=> 8^2=64\\=> 10^2=100\\36+64=100\\\boxed{100=100}

The sides would make a right triangle.

<h3>For Option Three:</h3>

5^2+6^2=\sqrt{61}^2\\ => 5^2=25\\=>6^2=36\\=>\sqrt{61}^2=61\\ 25+36=61\\\boxed {61=61}

The sides would make a right triangle.

<h3>For Option Four:</h3>

6^2+9^2=12^2\\=> 6^2=36\\=>9^2=81\\=>12^2=144\\36+81=144\\\boxed{117\neq 144}

The sides would not make a right triangle.

The correct answer should be options two and three.

6 0
3 years ago
Solve 1-3.Show and explain your work.
wlad13 [49]

Answer:

-2

Step-by-step explanation:

remove 3 from 1 and are left with negative 2

8 0
3 years ago
Read 2 more answers
A construction firm bids on two different contracts. Let E1 be the event that the bid on the first contract is successful, and d
marissa [1.9K]

Calculate the probability that both bids are successful

Answer:

The probability that both contracs are successful is 0.21

Step-by-step explanation:

Given

E1 = the event that the bid on the first contract is successful

E2 = the event that the bid on the second contract is successful

P(E1) = 0.3

P(E2) = 0.7

Let P(A) represent the event that both contracts are successful

P(A) = P(E1 and E2)

Since both events are independent. P(A) becomes

P(A) = = P(E1 * P(E2)

By substituton

P(A) = 0.3 * 0.7

P(A) = 0.21

Hence the probability that both contracs are successful is 0.21

7 0
3 years ago
Find the value of x. Write it as a decimal.
makkiz [27]

Answer:

68.5

Step-by-step explanation:

Arc ABE = 360 - 2x

Arc AE = 2x

half the difference between the two arcs is 43

43 = \frac{1}{2} [360 -2x - (2x)]    

7 0
3 years ago
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