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3 years ago

I have to solve this inequality and then graph the solution

Mathematics

1 answer:

Anastaziya [24]3 years ago

3 0

9514 1404 393

Answer:

-8 < r ≤ 3

Step-by-step explanation:

Divide by the coefficient of r. It is negative, so the comparisons will be reversed.

24/-3 < r ≤ -9/-3

-8 < r ≤ 3

The < has no "or equal to" as a part of it, so the number -8 is not in the solution set. There will be an open circle on the graph at that point.

The ≤ includes the "or equal to" case, so the number 3 is in the solution set. There will be a solid dot on the graph at that point.

The line is shaded between the two dots, because values in between -8 and 3 are part of the solution set.

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This is my question for homework. "You and some friends took a metal detector to the beach every day for a week to search for co

miss Akunina [59]

Answer:

The data is:

Number of nickels = 246

Number of dimes = 312

Number of quarters = 204.

Now, in your group there are N people.

Dividing the coins into N people, you find that each one received the same amount of each type of coin. Then the quotient between each number of coins and N must be a whole number.

Now, you can see that the 3 numbers are even, so we know that N must be even.

For example, if N = 2, we could divide the 3 numbers of coins and get an integer in each case, but this is worded as "You and some friends" so N must be larger than 2.

Try with the next even integer:

N = 4.

nickels: 246/4 = 61.5

61.5 is not an integer: Then N can not be 4.

The next even number is N = 6.

nickels: 246/6 = 41

dimes: 312/6 = 52

quarters: 204/6 = 34

In each case we have integers, this means that 6 divides the 3 numbers of coins, so each person can receive the same amount of coins.

The we can conclude with:

There are 6 persons in the group.

Each person gets 41 nickels, 52 dimes and 34 quarters.

8 0

4 years ago

In a survey of 3000 people who owned a certain type of car, 2100 said they would buy that type of car again. What percent of th

Annette [7]

Answer:

Step-by-step explanation:

Step one:

given data

we are told that the number of people under the survey is 3000

and also that 2100 people would like to buy again, these 2100 people represent the number of people who are satisfied with the type of car.

Step two:

Therefore the percentage of this number related to the total people under the survey is given below

=2100/3000*100

=21//30*100

=7/10*100

=7*10

=70%

Hence 70% of the people surveyed are satisfied with the type of car

4 0

3 years ago

Help i need the answer by 10am December 23

Sever21 [200]

Answer:

Simon: 55 hours

Alvin: 70 hours

Theodore: 159 hours

Total: 284 hours

Step-by-step explanation:

Let A, T, and S stand for the hours worked by Alvin, Simon, and Theodore.

We are told that:

A = S + 15,

T = 3S - 6

and

A + S + T = 284

Note that the first two equations state the value of A and T in terms of S. Let's use them in the third equation, so that we'll have only one unknow:

A + S + T = 284

(S + 15) + S + (3S - 6) = 284

5S + 9 = 284

S = 55

Now use this value of S in the first two equations to find A and T:

A = S + 15

A = 55 + 15

A = 70

T = 3S - 6

T = 3*55 - 6

T = 159

(55 + 70 + 159) = 284

8 0

3 years ago

What would $25 deposited 56 yrs ago be worth today???

zhannawk [14.2K]

205 dollars today I think

7 0

4 years ago

F(x) =-2x^2-4x-18 find f (-6)

Alexxandr [17]

Answer:

ncdjndndd

Step-by-step explanation:

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7 0

4 years ago