The difference between two integers x and -12 is -15. Find the value(s) of x.​

Answers

Answer 1
Answer:

Answer:

x = 3

Step-by-step explanation:

-12–x = -15

15 - 12 = x

x = 3


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There are 680 raisins in 8 bags. If each bag has the same number of raisins, how many raisins are in 12 bags? 900 raisins 935 raisins 1,020 raisins 1,056 raisins

Answers

Answer:

Raisins in 12 bags are:

1,020

Step-by-step explanation:

There are 680 raisins in 8 bags.

Each bag has the same number of raisins.

⇒ Raisins in each bag=680/8

                                    = 85

So, Raisins in 12 bags=12×85

                                   =1,020

Hence, Raisins in 12 bags are:

1,020

So you do 680/8=85 raisins in each bag
Then you times 85*12=1020 and that the answer

A spinner with 10 equally sized slices has 2 red slices, 4 yellow slices, and 4 blue slices. The dial is spun and stops on a slice at random. What is the probability that the dial stops on a red slice?

Answers

The probability that the dial stops on a red slice, when it is spun and stops on a slice at random is 1/5.

How to get probability of an event?

Probability of an event is the ratio of number of favorable outcome to the total number of outcome of that event.

A spinner with 10 equally sized slices has 2 red slices, 4 yellow slices, and 4 blue slices.

The total number of slices is 10 and the total number of favorable outcome to get a red slice is 2. Thus, the probability that the dial stops on a red slice is,

P=(2)/(10)\nP=(1)/(5)

Thus, the probability that the dial stops on a red slice, when it is spun and stops on a slice at random is 1/5.

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Answer: 5

Step-by-step explanation: with these problems you're supposed to add all the numbers and then you divide it by the number you're asking to find the probability of so 10/2=5

What is an equation for 7 more than a number is 10?

Answers

Answer:

So, equation for 7 more than a number is 10 is x+7=10

Step-by-step explanation:

We need to write equation for 7 more than a number is 10.

For writing the equation, we first consider a number. Let the number be x

7 More than a number in mathematical form is translated as : x+7

So, equation for 7 more than a number is 10 is x+7=10

Answer: I don't understand the problem.....................

Which ordered pair is a solution to the system of inequalities?

Answers

Answer:

Option A

Step-by-step explanation:

System of the inequalities is,

y ≥ 2x

y < x + 4

By satisfying these inequalities with the points given in the options we can get the answer.

Option (A). (2, 5)

y ≥ 2x

5 ≥ 2(2)

5 ≥ 4

True.

y < x + 4

5 < 2 + 4

5 < 6

True

Therefore, Option (1) is the answer.

Option (B) (1, 6)

y ≥ 2x

6 ≥ 2(1)

6 ≥ 2  

True.

y < x + 4

6 < 1 + 4

6 < 5

False.

Therefore, it's not the solution.

Option (C) (2, 3)

y ≥ 2x

3 ≥ 2(2)

3 ≥ 4

False.

y < x + 4

4 < 2 + 4

4 < 6

True.

Therefore, It's not the solution.

Option (D) (1, 5)

y ≥ 2x

5 ≥ 2(1)

5 ≥ 4

True.

y < x + 4

5 < 1 + 4

5 < 5

False.

Therefore, It's not the solution.

Solve the conjunction and describe the solution set. -5 ≤ 3m + 1 < 4

A: m ≥ -2 and m < 1
B: m ≤ -2 or m > 1
C m ≥ -4/3 and m < 5/3
D: m ≥ - 4/3 or m < 5/3

Answers

 -5 ≤ 3m + 1 < 4
- 1           - 1  - 1
 -6 ≤ 3m < 3
  3      3     3
 -2 ≤ m < 1

Solution Set: {m|-2 ≤ m < 1}, {m|m ≥ -2 and m < 1}, [-2, 1)

The answer is A.

Final answer:

The solution to the conjunction -5 ≤ 3m + 1 < 4 is m ≥ -2 and m < 1.

Explanation:

To solve the conjunction -5 ≤ 3m + 1 < 4, we need to solve the two inequalities separately. Starting with the left inequality: -5 ≤ 3m + 1. We subtract 1 from both sides: -6 ≤ 3m. Dividing both sides by 3, we get: -2 ≤ m. Next, we solve the right inequality: 3m + 1 < 4. We subtract 1 from both sides: 3m < 3. Dividing both sides by 3, we get: m < 1. Therefore, the solution to the conjunction is m ≥ -2 and m < 1. This means that m is greater than or equal to -2, but less than 1.

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At a restaurant, Brandy paid twice as much as Katie, and Katie paid $3 more than Stephanie. If the total combined amount they paid was $56, how much did Katie pay?

Answers

Let x = the amount that Katie spent
Katie: x dollars
Stephanie: x-3 dollars
Brandy: 2x dollars

Together they spent $56, so the sum of these numbers should equal $56
x + (x-3) + 2x = 56
x + x + 2x - 3 = 56
4x = 59
x= 14.75
Katie spent $14.75