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faltersainse [42]
2 years ago
9

How is the process of dividing integers similar to the process of multiplying integers? Select your answer from the drop drown m

enu to complete the explanation. In both cases, if the signs of the initial numbers are the same, the answer will be [ Select ] . If the signs are different, the answer will be [ Select ] .
Mathematics
1 answer:
vladimir2022 [97]2 years ago
5 0

Answer:

In both cases, if the signs of the initial numbers are the same, the answer will be positive. If the signs are different, the answer will be negative

Step-by-step explanation:

Required

Signs of results of multiplication and division

If two non-zero numbers have the same sign, and they are multiplied together, the end result will be positive.

For instance:

2 * 4 = 8

2 and 4 are positive; so, 8 is positive

-2 * -4 = 8

-2 and -4 are negative; so, 8 is positive

If two non-zero numbers have different signs, and they are multiplied together, the end result will be negative.

For instance:

-2 * 4 = -8

-2 is negative, and 4 is positive; so, -8 is negative

2 * -4 = -8

2 is positive, and -4 is negative; so, -8 is negative

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suppose you have a dime, two pennies, and a quarter. one of the pennies was minted in 1976, and the other one was minted in 1992
notsponge [240]

The reason that the answers in part (a) and part (b) are not the same is because Q1 and Q2 are treated as two different coins in part (a) whereas they are effectively treated as the same coin in part (b). The reason they are treated as one coin is because they both contribute the same amount to the sum of money.

<h3>How to Solve Counting Problems?</h3>

A) If you choose at least one coin, this means you could choose 1, 2, 3 or 4 coins. Let us label the dime as D, the penny as P, the quarter minted in 1976 as Q1 and the quarter minted in 1992 as Q2.

Now, if you choose one coin, you could choose either D, P, Q1, or Q2. This gives us 4 possible sets.

If you choose two coins, you choose the following sets of coins: DP, DQ1, DQ2, PQ1, PQ2, Q1Q2. This gives us 6 possible sets.

If you choose three coins, you could the following sets of coins: DPQ1, DPQ2, DQ1Q2, PQ1Q2. This gives us 4 possible sets.

If you choose four coins, you can only choose DPQ1Q2. This gives us 1 possible set.

Therefore, the total number of different sets of coins you can form is 4 + 6 + 4 + 1 = 15 different sets of coins can be formed.

b) If you choose at least one coin, this means you could choose 1, 2, 3 or 4 coins.

If you choose one coin you could choose either D, P, Q1, or Q2. However, since Q1 and Q2 give us the same sum, they are effectively the same set. This gives us 3 possible sums (ten cents, one cent, or twenty-five cents.)

If you choose two coins, you could choose the following sets of coins (since Q1 and Q2 are the same coin value, we can say Q for any instance where either one of these coins would be a possibility): DP, DQ, PQ, Q1Q2. This gives us 4 possible sums (11 cents, 35 cents, 26 cents, or fifty cents.)

If you choose three coins, you could choose the following sets of coins (since Q1 and Q2 are the same coin value, we can say Q for any instance where either one of these coins would be a possibility): DPQ, DQ1Q2, PQ1Q2. This gives us 3 possible sums (36 cents, 60 cents, or 51 cents).

If you choose four coins, you can only choose DPQ1Q2. This gives us 1 possible sum (61 cents.)

Therefore, the total number of different sums of coins you can form is 3 + 4 + 3 + 1 = 11 different sums of money can be produced.

c) The reason that the answers in part (a) and part (b) are not the same is because Q1 and Q2 are treated as two different coins in part (a) whereas they are effectively treated as the same coin in part (b). The reason they are treated as one coin is because they both contribute the same amount to the sum of money.

Read more about Counting Problems at; brainly.com/question/13875198

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3 0
1 year ago
What is the volume of a cylinder if the radius is 8 and the height is 6
gizmo_the_mogwai [7]

Answer:

1205.76

Step-by-step explanation:

The formula for volume of a cylinder is : π(or 3.14)r²h

Plug in the variables and solve

(3.14)(8)²(6)

(3.14)64(6)

384(3.14)

1205.76

Hope this helps

6 0
3 years ago
Read 2 more answers
You are hiking on a trail that leads to the top of the mountain. At 1 PM you reach an elevation of 4400 feet. At 4 PM you reach
ExtremeBDS [4]
The time from 1 to 4 is 3 hours. (1-2, 2-3, 3-4). 

The height you climbed is 1200 feet. 

1200/3 is 400.

Your final answer should be 400ft/h
5 0
3 years ago
QUESTION 1<br> Find the derivative of the function f(x)= /7x-8 using the limiting process.
Greeley [361]

Answer: Apply the Sum/Difference Rule

            d/dx(7x)-d/dx(8)

               d/dx(7x)=7

               d/dx(8)=0

                  7-0=7

                   

Step-by-step explanation: The answer is 7

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3 years ago
What is the percent increase between getting a high school scholarship and bachelors degree when high school scholarship is $421
gogolik [260]

Answer:

The percent increase between getting a high school scholarship and bachelor's degree is <u>59.14%</u>.

Step-by-step explanation:

Given:

High school scholarship is $421.

Bachelor's degree is $670.

Now, to find the percent increase between a high school scholarship and bachelor's degree.

So, we get the amount of increase between a high school scholarship and bachelor's degree.

670-421=249.

<em>Thus, the amount of increase = $249</em>.

Now, to get the percent increase between a high school scholarship and bachelor's degree:

\frac{249}{421}\times 100

=\frac{24900}{421}

=59.14\%.

Therefore, the percent increase between getting a high school scholarship and bachelor's degree is 59.14%.

7 0
3 years ago
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