MATHEMATICS HIGH SCHOOL

Divide 7/15 by 3/5. 

    A. 21/75B. 75/21C. 7/25D. 7/9

Answers

Answer 1
Answer: Your answer would be A. 7/9 

Because 7/15 ÷ 3/5 = (7 × 5) / (3 ×15) = 7/9
Answer 2
Answer: 7/15 divided by 3/5

7/15 /  3/5

Keep  ====>    7/15

Change  =====>  *

Flip ====>  5/3

Now multiply 

7/15 * 5/3 = 35/45

35/45 = 7/9

Answer: 7/9

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A species of plant experiences exponential growth after it is introduced into an area where it has never been. Which statement best describes exponential growth?

Answers

Answer:

C. Within a few years the population increases dramatically

True. As we can see on the functionA = A_o e^(rt) if we increase the time by 10 units for example the final amount is increasing by a factor of e^(10)=22026.47 and that represent a dramatically increase.

Step-by-step explanation:

When we have a exponential growth model the general formula is given by:

A = A_o e^(rt)

Since says "growth" the rate of increase r>0, A_o represent the initial amount and A the amount after the time t.

Assuming the possible options for the answer. We analyze one by one

A. Each individual plant grows much larger than usual

False, for this model we assume that all the individuals in the population modeled have similar characteristics, because if the individuals are different we can't use a deterministic model like this one.

B. The population immediately decreases

False. We are assuming that the model is for a growth rate so then is not possible to have a decrease.

C. Within a few years the population increases dramatically

True. As we can see on the functionA = A_o e^(rt) if we increase the time by 10 units for example the final amount is increasing by a factor of e^(10)=22026.47 and that represent a dramatically increase.

D. The specie's reproductive potential declines

False, we are considering a growth model in which it makes no sense to consider that the potential, population or quantity measured decrease.

A welder needs apiece of half-inch pipe18 3/4 in. Long.  she has a piece the is 28 1/8 in. Long. how much must she cut off from the longer piece?

Answers

I got 9 and 3/8 because you would subtract 18 3/4 from 28 1/8 

Final answer:

The welder needs to cut off 9 3/8 inches from the longer piece.

Explanation:

To determine how much the welder needs to cut off from the longer piece of pipe, we need to find the difference between the lengths of the two pieces.

Given that the longer piece is 28 1/8 inches and the desired length is 18 3/4 inches, we can subtract the desired length from the longer piece's length:

28 1/8 - 18 3/4 = 9 3/8

Therefore, the welder needs to cut off 9 3/8 inches from the longer piece of pipe.

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At the corner store, Nico bought 5 pencils for $0.10 each and 3 pens for $0.50 each. He used t to represent the sales tax, in dollars, that he also paid. He paid a total of $2.12, including tax. Nico wrote this equation to represent what he paid. What errors, if any, did he make? 5(0.10) + 3(0.50) - t = 2.12

Answers

he subtracted the tax insted of adding it .

Answer:

He should have added t instead of substracting t

Step-by-step explanation:

In 1990 retail sales at bookstores were about $7.4 billion. In 1997 retail sales at bookstores were about $11.8 billion. Write a linear model for retail sales s (in billions of dollars) at bookstores from 1990 through 1997. Let T represent the number of year since 1990. Then estimate the retail sales at bookstores in 2012.

Answers

hopefully this helps you and gives you insight in how to solve the problems from now on (:

= $11.8 + (2012-1997)([$11.8-$7.4][1997-1990])

= $11.8 + 5 ($4.4/7)

= $11.8 4/5 + $22/7

= $59/5 + $22/7

= $413/35 + $110/35

= $523/35 or $14 33/35

answer : SALES IN 2012 WOULD BE $14 33/35 BILLION OR $14.9 3/7

Final answer:

A linear model representing retail sales at bookstores from 1990 through 1997 is s(T) = 0.63T + 7.4. The estimated sales at bookstores in 2012 would be approximately $21.46 billion.

Explanation:

To solve this problem, we need to create a linear model. A linear model is a mathematical representation expressed as y = mx + b, where m is the slope, and b is the y-intercept.

To determine the slope (m), we subtract the ending value of retail sales from the starting value and divide by the number of years. So, subtract $7.4 billion (sales in 1990) from $11.8 billion (sales in 1997) and divide by 7 (the number of years from 1990 to 1997): (11.8 - 7.4) / 7 = 0.63. So, m = 0.63.

The y-intercept (b) is the value of y when x = 0. In this model, this corresponds to the sales in 1990, because x is the number of years since 1990, and 'x = 0' therefore corresponds to the year 1990. So, b = $7.4 billion.

The final linear model for retail sales at bookstores from 1990 through 1997 is s(T) = 0.63T + 7.4.

To estimate the retail sales at bookstores in 2012, we plug T = 22 (because 2012 is 22 years after 1990) into our linear model: s(22) = 0.63*22 + 7.4 ≈ $21.46 billion. So, the estimated retail sales in bookstores in 2012 were about $21.46 billion.

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What is the sum of 2/5 and 2/4?

Answers

Hello, Upschic23!
Sum means addition(+)
2/5+2/4
2/5+1/2 
4/10+5/10 
9/10 or .9
I hope this helps;)
The answer is
2/5 = 8/20 
2/4 = 10/20

18/20 NOT SIMPLIFIED  or 9/10 SIMPLIFIED 

In the triangle below y=? Round to the nearest tenth

Answers

Answer:

51.3°

Step-by-step explanation:

Step 1: Use tan to find angle y

o = 10

a = 8

tan()=(o)/(a) \ntan(y)=(10)/(8) \ny = tan^(-1) ((10)/(8))\ny = 51.3

Therefore angle "y" is 51.3° rounded to the nearest tenth
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