Which expressions have a value of 15 when s=15? A: s/3+10 B: 15,521÷s C: (3,015÷s)-186 D: 20s^2÷30 E: 2s^2/5-25

Noah thinks the answers to these two questions will be the same. This year, a herd of bison had a 10% increase in population. If

Shalnov [3]

The answer to these two questions are not the same. We don't agree with Noah.

Reason:

Let's start with the first question.

1. Given: rate = 10% increase, base/original number = 550 bison

10% of 550 is:

$.10\times550bison=55bison$

10% of 550 is 55. Hence, there is an increase of 55 bison this year. This year, there are 550 + 55 = 605 bison in the herd.

2. Given: rate = 10% decrease, percentage/final number = 550 bison

Applying the concept of Percentage = Base x Rate, we can get the Base or the original number of bison before the decrease by dividing Percentage over Rate.

$\text{Base}=\frac{\text{Percentage}}{\text{Rate}}$

Filling in the formula with the given values in question 2, we have:

$\text{Base}=\frac{550}{1-.10}=\frac{550}{.90}=611.11\approx611bison$

Last year, there were 611 bison.

As we can see, the answer for number 1 is 605 bison while the answer for the number 2 is 611 bison. The answer of the two questions are not the same.

4 0

1 year ago

Ms. Lee wrote a test with 15 multiple choice short answer questions. The multiple choice questions x are worth 5 points and the

hram777 [196]

x + y = 15 and 5x + 10y = 100 are the system of equations that represent this situation

Solution:

Let "x" be the number of multiple choice questions

Let "y" be the number of short answer questions

Worth of 1 multiple choice questions = 5 points

Worth of 1 short answer question = 10 points

Ms. Lee wrote a test with 15 multiple choice short answer questions

Therefore,

number of multiple choice questions + number of short answer questions = 15

x + y = 15 -------- eqn 1

The maximum number of points possible on the test is 100

Therefore, we frame a equation as:

number of multiple choice questions x Worth of 1 multiple choice questions + number of short answer questions x Worth of 1 short answer question = 100

$x \times 5 + y \times 10=100$

5x + 10y = 100 ------- eqn 2

Thus eqn 1 and eqn 2 are the system of equations that represent this situation

6 0

3 years ago

Mr. Collins made 20 bird houses to sell at a carnival. He earns $15 for each bird house he sells. How much will Mr. Collins earn

navik [9.2K]

Answer:

C. $300

Step-by-step explanation:

We have been given that Mr. Collins made 20 bird houses to sell at a carnival. He earns $15 for each bird house he sells.

To find the amount earned by Mr. Collin after selling all 20 bird houses, we need to multiply 20 by amount earned by selling each bird house.

$\text{Amount earned by Mr. Collin after selling all 20 bird houses}=\$15\times 20$

$\text{Amount earned by Mr. Collin after selling all 20 bird houses}=\$300$

Therefore, Mr. Collin will earn $300, if he sells all 20 bird houses.

4 0

2 years ago

An ice cream factory makes 170 quarts of ice cream in 2 hours how many quarts could be made in 36 hours what was that rate per d

Katyanochek1 [597]

170 quarts/2 hours = 85 quarts/hour

85 quarts/hour * 36 hours = 3060 quarts

85 quarts/hour * 24 hours = 2040 quarts

8 0

3 years ago

Which of the following is the contrapositive of the conditional below?

masha68 [24]

Answer:

If 3 + 4 ≠ 6, then 2 · 5 = 10.

Step-by-step explanation:

To form the contrapositive of the conditional statement, interchange the hypothesis and the conclusion of the inverse statement. The contrapositive of "If it rains, then they cancel school" is "If they do not cancel school, then it does not rain." If p , then q .

8 0

2 years ago