Find a number between 364 and 384 that is both a multiple of 7 and a multiple of 3

Answers

Answer 1

Answer: So the least common multiple of 7 and 3 is 21

So the multiple between 364 and 384 should be a multiple of 21.
21 × 18 = 378
And the number that is between 364 and 384 and is a multiple of 7 and 3 is 378

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5 is a _______ number. prime composite

Which equation is equivalent to 4.5 = 2a?

Answers

2a = 4.5 |divide both sides by 2

a = 2.25

Answer:

a = 2.25

Step-by-step explanation:

During a family trip, you share the driving with your dad. At most, you are allowed to drive for three hours. While driving, your maximum speed is 55 miles per hour.Part A) Write a system of inequalities describing the possible numbers of hours “t” and distance “d” you may have to drive.

Part B) Is it possible for you to have driven 160 miles?

Please help and if you don’t mind to explain how you got all of the answers to each part. Offering 20 Points!

Thank you!

Answers

Final answer:

In this question, we create a system of inequalities to describe the possible number of hours and distance you may have to drive. It is not possible to have driven 160 miles.

Explanation:

Part A:

Let t represent the number of hours you drive and d represent the distance you drive.

The constraints for the number of hours are: 0 ≤ t ≤ 3, which means you can drive for at most 3 hours.

The constraints for the distance are: 0 ≤ d ≤ 55t, which means the distance you drive cannot exceed 55 miles per hour multiplied by the number of hours you drive.

Part B:

No, it is not possible for you to have driven 160 miles. Let's substitute t = 3 into the distance constraint:

d ≤ 55t

d ≤ 55(3)

d ≤ 165

Since 160 is greater than 165, it is not within the range of possible distances you can drive.

Learn more about System of Inequalities here:

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Final answer:

The system of inequalities describing the possible numbers of hours and distance is t ≤ 3 and d = t × 55. It is not possible to have driven exactly 160 miles.

Explanation:

Part A:

To describe the possible numbers of hours and distance you may have to drive, we can create a system of inequalities based on the given conditions. Let's denote 't' as the number of hours you drive and 'd' as the distance you cover.

The maximum allowed driving time is 3 hours, so we can write the inequality: t ≤ 3.

Since your maximum speed is 55 miles per hour, the distance 'd' can be calculated using the formula: d = t × 55.

Combining these two inequalities, we have: t ≤ 3 and d = t × 55.

Part B:

To determine if it is possible to have driven 160 miles, we substitute the distance 'd' with 160 in the inequality: d = t × 55. By solving for 't', we can find the allowed range of hours. Plugging in the values, we get: 160 = t × 55. Rearranging the equation, we find t = 160 / 55, which gives t ≈ 2.91.

Therefore, it is not possible to have driven exactly 160 miles, as it falls outside the allowed range of t.

Learn more about system of inequalities here:

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In the figure, m∠2 = (20x + 52)° and m∠7 = (40x – 48)°For what value of x is line m parallel to line n?
18

5

44

3

Answers

Answer:

The answer is 5

Step-by-step explanation:

I took the test :)

Answer 5

Step-by-step explanation:

B is the midpoint of AC and D is the midpoint of CE solve for x given BD = 3x+4 and AE = 5x+19

Answers

It might be helpful to draw a diagram of a line in this case, but you could do this algebraically as well. The midpoint of any segment is basically the average of the two endpoints of the segment. Thus, for example, the midpoint of AC would be the value of A added to the value of C, which is then divided by 2 to get B. You just have to find all of the values for each of the letters, and then find the distance between B and D, for instance, which (the distance) may be represented as a system of equations with the statement of the distance for AE.

The temperature at 5pm is 20F. The temperature at 10pm is -5F. How many degrees did it fall?please show work

Answers

Change in temperature = Final temp. - Initial temp.
⇒ -5 - 20 = -25 F

So, Temperature fall be 25 degree. [ -ve sign shows temperature fall]

Hope this helps!

A cell phone company charges $55 per month for unlimited minutes plus $0.25 per text sent. If the charges to Dayne's cell phone for the last month came to $100, how many texts did Aly sent?

Answers

A: 180
Subtract 100 - 55 which gets you 45 then divide that with .25 = 180

400 because 100/0.25 = 400

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Which equation has the same solution as ?

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