Mathematics High School

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 1

Answer:

2y + ( x- 20)= 500

y= 520-x/2

Step-by-step explanation:

Let the weight of George be x and the weight of the suspect be y .

The swing can hold a maximum of 500 pounds .

Twice the weight of suspect added with 20 pounds less than the weight of George equals 500.

2y + ( x- 20)= 500

2y+x- 20 = 500

adding 20 to both sides

2y+x -20 +20= 500+ 20

2y +x = 520

Subtracting x from both sides

2y+ x-x = 520-x

2y = 520-x

Dividing by 2 on both sides

y= 520-x/2

The suspect's weight is y= 520-x/2

Answer 2

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

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the percentage of boys in a school is 60%, and the number of girls are 200, calculate the number of boys and the total number of students?

Answers

Answer:

Boys: 300 or 60%, girls: 200 or 40%, total number of students: 500 or %100

Step-by-step explanation:

So basically:

1. We know that 60% is boys and we're trying to figure out the exact amount. We know the other 40% (girls) is a total of 200.

2. First take the 40% and half it so we get 20% in order to do that we have to do the same to the 200 girls and half the number into 100. Now we know 20% is equal to 100 students. Given that information we would multiply the 20% by 3 to get the 60% of boys. Now we would also multiply the 100 by 3 and now we have 300.

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I hope this helps:)

500
100% - 60% is 200 people
So 40% is 200 people
20% is 100 people and so 100% (full amount) would be 100 x 5 (how do you get from 20 to 100, you multiple by 5 so you do the same to the 100).
Gives you a total of 500

A rancher built a cattle fence in the shape of a triangle.
From one corner, the fence will go 200 yards south.
Then, the fence will turn at a right angle and go 120 yards west.
From there, the fence goes straight back to its starting point.
To the nearest yard, how much fencing did the rancher use?

Answers

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Step-by-step explanation:

Answer:

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Step-by-step explanation:

Aaron invested $7,500 in an account paying an interest rate of 1.5% compounded continuously. Assuming no deposits or withdrawals are made, how much money, to the nearest hundred dollars, would be in the account after 8 years?

Answers

Answer:

\text{Compounded Continuously:}

Compounded Continuously:

A=Pe^{rt}

A=Pe

P=7500\hspace{35px}r=0.015\hspace{35px}t=8

P=7500r=0.015t=8

Given values

A=7500e^{0.015(8)}

A=7500e

0.015(8)

Plug in

A=7500e^{0.12}

A=7500e

0.12

Multiply

A=8456.22638685

Use calculator (with e button)

A\approx 8500

A≈8500

Round to nearest hundred dollars

Step-by-step explanation:

The amount of money to the nearest hundred dollars that would be in the account after 8 years is $60,900.

What is the future value of the account?

The formula for calculating future value when there is continuous compounding is : A x e^r x N

Where:

A= amount e = 2.7182818 N = number of years r = interest rate

7500 x e^0.015 x 8 = $60,900

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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Answer:

Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

Answer:

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Step-by-step explanation:

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Tawni / 50-m Freestyle / 40.8

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Answers

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

Step-by-step explanation:

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Answer:

Step-by-step explanation:

Answer:

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Answers

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Answers

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Answers

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Answers

Answer:

Okay, I haven't done this a long time however I believe with this you have to solve the equation by doing substitution.

Step-by-step explanation:

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Step-by-step explanation:

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