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Goshia [24]
3 years ago
7

I really need help ;-;

Mathematics
1 answer:
denis23 [38]3 years ago
8 0
Hi there! I can help you!

a. Okay. So we have to make a table for the amount of butterflies to total insects. Let's simplify the ratio. 36:100 simplifies to 9:25. We can use that ratio to make this table. Just multiply 25 by the amount it takes to get to 50 or 100, and multiply by the same amount at the top to find the amount of butterflies. If you do it correctly, your table should be as shown below in the image.

b. On that note, let's solve for the amount of butterflies in the conservatory. There are 450 total of them. Let's divide 450 by 100 to find the amount we will multiply by. 450/100 is 4.5. We will mutliply 36 by that amount to find the total amount of butterflies. 36 * 4.5 is 162. That's it. There are 162 butterflies in the conservatory.

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find a number such that if 8 is subtracted from 9 times the number , the result is 6 more than twice the number​
zheka24 [161]

Answer:

x=2

Step-by-step explanation:

let the number be x

9x-8=6+2x

9x-2x=6+8

7x=14

x=14/7

x=2

8 0
3 years ago
Evaluate:<br> 4 + -2 + -7
krok68 [10]

Answer:

-5

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
What is constant of Proportionality in the equation y = 2.5x ?
Tpy6a [65]

Answer:

<em>2.5</em>

Step-by-step explanation:

A direct variation equation has the form y = kx, where k is the constant of proportionality.

In this case, the constant of proportionality is 2.5.

4 0
3 years ago
Meredith invested $5,500 into an account that earned 5% interest per year. When she cashed out the investment to use it as a dow
Andrej [43]

Answer:  B. 7739.05=5500(1.05)^t

Step-by-step explanation:

The formula to find the compound amount (compounded yearly):-

A=P(1+r)^t, where P is the principal amount invested,  is the rate of interest and t is time period.

As per given , we have

P=$5500    ,  r=5% = 0.05   and A =  $7,739.05.

Substitute all the values in the formula , we get

7739.05=5500(1+0.05)^t

7739.05=5500(1.05)^t

Hence, the equation describes Meredith's investment based on t, the number of years she kept the account open : 7739.05=5500(1.05)^t

5 0
3 years ago
During the first decade of the century, the population of a certain city was 145,380 in 2000 and 219,135 in 2010. Find the expon
Likurg_2 [28]

Answer:

The exponential growth function is P=145380e^{0.04103t}

Step-by-step explanation:

Given: The population of a certain city was 145,380 in 2000 and 219,135 in 2010.

To find: exponential growth function that models the growth of the city

Solution:

The exponential growth function is given by P=P_0 e^{kt}

Here, P denotes total population after time t

P_0 denotes initial population

k denotes rate of growth

t denotes time

As P(0)=145,380,

145380=P_0e^{0}\\145380=P_0\\P=145380e^{kt}

As P(10)=219135

219135=145380e^{10k}\\e^{10k}=\frac{219135}{145380}\\=1.507326\\k=\frac{1}{10}\ln (1.507326)\\=0.04103\\\Rightarrow P=145380e^{0.04103t}

8 0
3 years ago
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