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

or

2y+x- 20 = 500

adding 20 to both sides

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

or

2y +x = 520

Subtracting x from both sides

2y+ x-x = 520-x

or

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


Related Questions

please help! click on pic.

Answers

Answer:

119

Step-by-step explanation:

62+57

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

rt

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

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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On a bicycle, you can travel 20 miles in 4 hours. At this
same rate, what distance can you travel in 6 hours?

Answers

Answer:

30miles

Step-by-step explanation:

You go 5 miles everyone 1 hour (you can find this out by dividing 20 by 4)

5 multiplied by 6 equals 30

20÷4=55×6=30

what is the squared root of 64?

Answers

Answer:

8

Step-by-step explanation:

Answer:

the square root is 8

Step-by-step explanation:

PLEASE HELP !!

Which graph shows a constant of proportionality of 2?

Answers

Answer:

Im pretty sure its C

Step-by-step explanation:

Hope you get it right! :)

The constant of proportionality of a line is also referred to as its slope. The graph shows a constant of proportionality of 2 is the Graph C

Constant of proportionality

The constant of proportionality of a line is also referred to as its slope. Hence according to the question, we are to determine the line that has a slope of 2.

The formula for calculating slope of a line is expressed as:

Slope = y2-y1/x2-x1

Using the graph with coordinate points (3, 6) and (1, 2). The slope of the line is expressed as:

Slope = 2-6/1-3
Slope = -4/-2
Slope = 2

Hence the graph shows a constant of proportionality of 2 is the Graph C

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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

Answer:

it is 480 yards!

Step-by-step explanation:

Answer:

480

Step-by-step explanation:

Find the 62nd term of the arithmetic sequence -27, -21, -15

Answers

it’s 339 if u keep adding 6 until the 62th term

The 62nd term of the arithmetic sequence -27, -21, -15 is 339

Arithmetic sequence

The nth term of an arithmetic sequence is expressed as:

Tn =a+(n-1)d

Given the sequence -27, -21, -15

a is the first term = -27

d is the common difference = -21 + 27 = 6
n = 62

Substitute

T62 = -27 + (62-1)(6)
T62 = -27 + 61(6)

T62 = -27 + 366
T62 = 339

Hence  the 62nd term of the arithmetic sequence -27, -21, -15 is 339

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how do I solve for x?

Answers

Answer:

85

Step-by-step explanation:

The sum of the measures of the interior angles of a triangle is 180 deg.

x + 52 + 43 = 180

x + 95 = 180

x = 85

Answer: 85

The angles in a triangle add up to 180 degrees

180 - 52 - 43 = 85

x = 85 degrees

Yall can you answer this.

Answers

D. I’m pretty sure!!!!!!!

Help me solve this problem please

Answers

A Line 2 the 10 is supposed to be positive

Refer to the graph. Find the slope of each line

Answers

the top line has a slope of 2/4 which reduces to 1/2 and the second line has a slope of -1/4

Answer:

The top line has a slope of 1/2

The bottom line has a slope of - 1/4

Stock A changed by - $2,60 during the day. Stock B changed by 3
times that amount. How much did Stock B change during the day?

Answers

Answer:

$7.80

Step-by-step explanation:

$2.60 * 3 = $7.80

x-4 is greater than -8 in interval notation

Answers

Answer:

x

4

=

8

=

Step-by-step explanation:

issac is a clothing salesman working on straight commission. He sold $1311
this week and gets 9% commission. How much did he earn?

Answers

Answer:

Isaac earned $117.99 this week

Step-by-step explanation:

Percentages

The N% of a quantity M is calculated as follows:

N * M / 100

Isaac earns a 9% commission for his sales.

This week he sold $1,311, thus his commission is:

9 * 1,311 / 100 = 117.99

Isaac earned $117.99 this week

Help me please and thanks

Answers

The answer is A hope this helps
The answer is A because it will make sense of how the directions work

Write an equation of the line in standard form with integer coefficients. the line through (-2, 2), (1, -4). O A. y+2x=-2 B. y+2x=6 C. 2y+x=2 D. 2y+x=-6 ​

Answers

Answer:

A

Step-by-step explanation:

K=(y1-y2)/(x1-x2)=(2+4)/(-2-1)=-2

y=-2x+b

2=-2*-2+b

b=-2

y=-2x-2

y+2x=-2

The equation of the line in standard form with integer coefficients is → y + 2x = - 2.

What is the general equation of straight line?

The general equation of straight line is -

y = mx + c          

where 'm' represents the slope of the line and 'c' is the y - intercept.

Given is a line that passes through the points -

(-2, 2), (1, -4)

We can calculate the slope of the line using the two coordinates given -

(-2, 2), (1, -4). The slope will be -

m = (- 4 - 2)/(1 + 2)

m = -6/3

m = - 2

Assume that the equation of line is -

y = -2x + c

The line passes through the point (-2, 2), so we can write -

2 = -2 x -2 + c

2 = 4 + c

c = -2

So, we can write the equation of line as -

y = - 2x - 2

or

y + 2x = - 2

Therefore, the equation of the line in standard form with integer coefficients is → y + 2x = - 2.

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can i get some help plz with this

Answers

Answer:

translation then reflection is the answer

Step-by-step explanation:

what number can be added to 55 and have 45 and 9 as thier greatest common factor?

Answers

Answer:

36

Step-by-step explanation:

Describe the transformation of y=f(x) for the new function f(x)=2/3|x-7|

Answers

Answer:

Stretch of 2/3, right by 7

I need HELP ASAP RIGHT AWAY​

Answers

Answer:

line c and e

Step-by-step explanation:

Question 1 of 10 The slope of the line below is - Write a point-slope equation of the line using the coordinates of the labeled point.​

Answers

Y1=m(x-x1) I have a similar thing and the option is b plz mark brainiest

f(x) = -2x + 5
f ( ) = 13

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:

so, if f (x) equals 13, you replace the x in the equation to 13.

f(x)=-2x+5

f(x)=-2(13)+5

f(x)=26+5

f(x)=31

I believe 41 would be your answer. Hope this is right and it helped!

I will brainlist whoever gets it right.
The results of a swim meet are shown. Who swam faster? Explain your reasoning.
Name: /Event: /Time:

Tawni / 50-m Freestyle / 40.8

Pepta / 100-m Butterfly / 60.2

Susana / 200-m Medley / 112.4

Answers

I think it is the second one

Answer:

Susana

Step-by-step explanation:

divide the m by the time to get how many mps

50/40.8=1.225 mps

100/60.2=1.661 mps

200/112.4=1.779 mps

Simplify 4^3* 4^5 please help me

Answers

Answer:

C.

Step-by-step explanation:

add the numbers (power numbers)

=4^8

Stonebridge neighborhood garage sale had these cash receipts for 5 days: $136.97, $256.21, $366.10, $176.04, $72.49. What were the total cash receipts?

Answers

Answer:

5039.05

Step-by-step explanation:

Add everything and then multiply by 5

Answer:

5039.05

Step-by-step explanation:

What’s mean by report this answer

Answers

Answer:

Like make it bad.Its offensive

Step-by-step explanation:

9.85 less than the product of 37 and w

Answers

Answer:

you did not give wat you wanted us to do so I would say 9.85- (37*w)

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.

3. We now know that we have 300 boys and 200 girls. Add them together for the total of students and you get 500.

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

Which inequality represents this situation?
Players must practice at least 45 minutes a day.

t 45
t ≥ 45

Answers

Answer:

t≥45

Step-by-step explanation:

If it says at least, it means fine must be greater than or equal to 45.

For the function, f(x) = 2x + 1. If f(x) = 3, what is the value of x?
A. 2
B. 1
C. 7
D.0

Answers

Answer:

B. (1) is the value of x

Step-by-step explanation:

Answer:

i got -0.5

Step-by-step explanation:

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