Which numbers are a distance of 5 units from 3 on the number line?Write your answer : _ and _

Answers

Answer 1

Answer:

3 + 5 = 8

3 - 5 = -2

-2 and 8

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with no air resistance, an object would fall 16 feet during the first second, 48 feet during second second 80 feet during the third second, 112 feet during the fourth second, and so on, how many feet will be object fall during the ninth second

A flight instructor charges $50 per lesson, plus anadditional fee for the use of his plane. The charge for
the use of the plane varies directly with the square root
of the time the plane is used. If a lesson plus 16 minutes
of plane usage costs $90, what is the total amount
charged for a lesson having 36 minutes of plane usage?

Answers

The total amount charged for a lesson having 36 minutes of plane usage is $110.

Given that, a flight instructor charges $50 per lesson, plus an additional fee for the use of his plane.

The charge for the use of the plane varies directly with the square root of the time the plane is used.

x∝√y

x=k√y

Here, 90 = 50 + k√16

k = (90-50)/4

k = 40/ 4

k = 10

For 36 minutes, total charge

Total amount charged = 50 +10√36

Total amount charged = 50 + 10×6

Total amount charged = 50+60

= $110

Therefore, the total amount charged for a lesson having 36 minutes of plane usage is $110.

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Answer:

410

Step-by-step explanation:

Vincent borrowed $500 from Mitchell for six months how much interest will Michelle earn if he charges Vincent a simple interest rate of 3 percent

Answers

Michelle will earn $15 from the interest rate.

The sum of a number is 17 and their difference is 3 find the number

Answers

Answer: 14

Step-by-step explanation:

The suspect was spotted riding the swings earlier in the day. Each swing can hold a maximum weight of 500 pounds. In order to reach the maximum weight, you would have to double the weight of the suspect and add 20 pounds less than the weight of George. Write and solve an equation to represent the suspect's weight.

Answers

Answer:

s = 260 - g/2

Step-by-step explanation:

Given the following :

Maximum weight swing can hold = 500 pounds

Let suspect's weight = s

George's weight = g

To reach maximum weight :

Double weight of suspect + (George's weight - 20)

Hence, equation:

2s + (g - 20) = 500

2s + g - 20 = 500

2s + g = 500 + 20

2s + g = 520

2s = 520 - g

Divide through by 2

s = 260 - g/2

The question can be represented by the equation 2S + G - 20 = 500, where S is the suspect's weight and G is George's weight. To solve for the suspect's weight, we need to know George's weight.

The question asks for an equation to determine the weight of the suspect based on given conditions. We can express the condition as a mathematical equation. If we let S be the weight of the suspect and G be the weight of George, the information gives us the equation 2S + G - 20 = 500. To solve for the suspect's weight, we will need the weight of George. Without this, there are an infinite number of solutions for S. However, if we were given George's weight, we could subtract 20 from it, subtract that value from 500, and then divide by 2 to get the suspect's weight. As an example, if George weighed 220 pounds, the suspect would weigh (500 - (220 - 20)) / 2 = 150 pounds.

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If bc = 8.3 cd = 6.7 and ad = 11.6 find ab to the nearest tenth

Answers

This is going to be tricky to explain over text, so try to bear with me :)

You have the information given above. Let's start with just ad = 11.6 for now. since these are variables, it can also be understood be understood as a times d= 11.6.
Knowing this, we can figure out that d = 11.6/a, when you divide both sides by a.

You now have d, so plug (11.6/a) into cd=6.7. You have to do the same thing you did last time, except this time you are aiming to get c by itself. So, multiply both sides by a/11.6 and you get c = (6.7a)/ 11.6.

Guess what, you know c now! so you put (6.7a)/11.6 in for c in the equation given to you earlier, bc =8.3. The math gets a bit messy here, but you basically solve for b here, which, when you crunch the numbers down, ends up being ~14.3705 divided by a. You are looking for ab, so just multiply both sides by a, and round to the nearest tenth so that you have ab= 14.4

In ΔMNO, the measure of ∠O=90°, the measure of ∠M=11°, and NO = 80 feet. Find the length of OM to the nearest tenth of a foot. Please show work.