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Vedmedyk [2.9K]
4 years ago
14

The product of two numbers is 21. If the first number is -3, which equation represents this situation and what is the second num

ber?
A.
The equation that represents this situation is x - 3 = 21. The second number is 24.
B.
The equation that represents this situation is 3x = 21. The second number is 7
C.
The equation that represents this situation is -3x = 21. The second number is -7.
D.
The equation that represents this situation is -3 + x = 21. The second number is 18.
Mathematics
2 answers:
Misha Larkins [42]4 years ago
8 0

Answer:

C.

The equation that represents this situation is -3x = 21. The second number is -7.

Step-by-step explanation:

quester [9]4 years ago
7 0

Answer:  The equation that represents this situation is -3x = 21. The second number is -7 (option C).

Step-by-step explanation:

Hi, the correct option is C.

We have to analyze the information given to write the equation and corroborate the option chosen.

So:

first number = -3  

Product means the result of multiplication, in this case, the product is number 21.

Mathematically speaking:

-3x= 21

x = 21/-3

x = -7

In conlclusion, he equation that represents this situation is -3x = 21. The second number is -7 (option C).

Feel free to ask for more if it´s necessary or if you did not understand something.

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KiRa [710]

Answer:

C) 6:1

Step-by-step explanation:

The second number must be a one.  To do that, it would have to be multiplied by 4.  That means we have to multiply the first number by 4 also:

3/2*4=6

So it’s 6:1

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3 years ago
A mail carrier can deliver mail to 36 houses in 30 minutes. Mark wants to determine how many houses the carrier can deliver mail
sergey [27]

Answer:

Mark’s method is correct, because even though it is impossible to deliver mail to 1.2 houses in a minute, 1.2 represents the unit rate of houses per minute.

Step-by-step explanation:

Let's rule out the options given one by one.

Option 1: Mark’s method is wrong, because it is impossible to deliver mail to 1.2 houses in a minute. The carrier can only deliver to a whole number of houses.

This is not true, because 1.2 is a rate, it just means that the carrier can finish 1 house in a minute, and also have time to get started delivering to the second house. The total number of houses has to be a whole number, but the rate doesn't.

Option 2: Mark’s method is wrong, because it is impossible to deliver mail for 7.5 minutes. The carrier can only deliver mail for a whole number of minutes.

This option is also incorrect. Delivering mail for 7.5 minutes just means 7 minutes and 30 seconds, which is definitely possible.

Option 3: Mark’s method is correct, because even though it is impossible to deliver mail to 1.2 houses in a minute, 1.2 represents the unit rate of houses per minute.

This option is correct. 1.2 is the rate of which the carrier delivers mail.

Option 4: Mark’s method is correct, because it is possible to deliver mail for 7.5 minutes; 7.5 represents the unit rate of 7.5 minutes per house.

This option is also incorrect. Although it is possible to deliver mail for 7.5 minutes, it is not the unit rate, it is the total amount of time it would take.

4 0
3 years ago
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Andreas93 [3]

Answer:

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Step-by-step explanation:

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4 years ago
In 2014 the population of 1500 quail decreases at an annual rate of 3%. In writing an exponential function to model the quail po
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Answer:

a = 1500

b = 0.97

Step-by-step explanation:

Let's define 2014 as our t = 0.

Then t = 1 will be 2015, and so on.

We know that in 2014 the population was 1500.

It decreases at an annual rate of 3% or 0.03 in decimal form.

Then in 2015, the population was: 1500 - 1500*0.03 = 1500*(0.97)

In 2016, the population was: 1500*(0.97) - 1500*(0.97)*0.03 = 1500*(0.97)^2

We already can see the pattern.

t years after 2014, the population will be:

f(t) = 1500*(0.97)^t

Now, answering the question:

using f(t)=a(b)^t what is the value of a and b?

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