Justin and Tyson are beginning an exercise program to train for football season. Justin weighs 150 lb and hopes to gain 2 lb per week. Tyson weighs 195 lb and hopes to lose 1 lb per week.

A. if the plan works, in how many weeks will the boys weigh the same amount?
B. what will that weight be?

Answers

Answer 1
180 pounds is the answer to your question.

Hope this helps :)
Answer 2

The number of weeks will the boys weigh the same amount is 15 weeks and the weight is 180 lb.

Given,

Justin and Tyson are beginning an exercise program to train for football season.

Justin weighs 150 lb and hopes to gain 2 lb per week.

Tyson weighs 195 lb and hopes to lose 1 lb per week.

We need to find in how many weeks will the boys weigh the same amount If the plan works and the weight be.

How to compare two quantities?

If 3 miles = 2 hours

For 4 miles the number of hours is:

3 miles = 2 hours

4/3 x 3 miles = 4/3 x 2 hours

4 miles = 8/3 hours

We have,

Justin:

Justin weighs 150 lb and hopes to gain 2 lb per week.

Let the number of weeks be W.

We can write the weight of Justin after W weeks as:

150  + 2W _____(1)

Tyson :

Tyson weighs 195 lb and hopes to lose 1 lb per week.

Let the number of weeks be W.

We can write the weight of Tyson after W weeks as:

195 - 1W _____(2)

Now,

The number of weeks both weighs the same:

From (1) and (2)

150 +2W = 195 - 1W

2W + 1W = 195 - 150

3W = 45

W = 45/3

W = 15

We can see that,

From (1) and (2)

150  + 2W = 150 + 2 x 15 = 150 + 30 = 180

195 - 1W = 195 - 1 x 15 = 195 - 15 = 180

Thus the number of weeks will the boys weigh the same amount is 15 weeks and the weight is 180 lb.

Learn more about finding the number of weeks where two people have the same weight under given conditions here:

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Related Questions

Tim found a jacket that was 25% off. The original price was $45.00. What was the sale price?

Answers

Hey! To do this, take the $45 from the original price and multiply it by 0.75 (25% off) to get your answer.

Answer: $33.75

2/3a = 4/9 in fraction

Answers

12a=18

a= 18/12

a= 3/2

Amy has set aside $150 a month for her cell phone bill. The cost for a monthly cell phone plan is a $65 access fee plus $20 per gigabyte of data used. Which expression represents the amount of money Amy has left from her monthly budget after she pays her cell phone bill?

Answers

Final answer:

The expression to represent the amount of money Amy has left from her monthly budget after paying her cell phone bill is $85 - $20x.

Explanation:

To find the amount of money Amy has left from her monthly budget after paying her cell phone bill, we need to subtract the cell phone bill from her monthly budget. Amy has $150 a month and the cell phone bill consists of a $65 access fee plus $20 per gigabyte of data used.

Let's represent the amount of data used in gigabytes as 'x'. So, the expression to represent the amount of money Amy has left is:

$150 - ($65 + $20x)

This expression simplifies to:

$85 - $20x

So, the amount of money Amy has left from her monthly budget after paying her cell phone bill is $85 - $20x.

Final answer:

The expression that represents the amount of money Amy has left from her monthly budget after she pays her cell phone bill is $150 - ($65 + $20x).

Explanation:

Amy has set aside $150 a month for her cell phone bill. The cost for a monthly cell phone plan is a $65 access fee plus $20 per gigabyte of data used. To calculate the amount of money Amy has left from her monthly budget after she pays her cell phone bill, we need to subtract the total cost of the cell phone plan from her budget. So, the expression that represents the amount of money Amy has left is:



$150 - ($65 + $20x)



Where x represents the number of gigabytes of data Amy has used.

what is 1/2(6x+4)=x+2(x+1)

Answers

The answer to the problem is inonsistent solutions.

3x+2=x+2x+2

3x+2=3x+2

0=0

The area of a rectangle is 4.9 square units. The length is 2.5 units and the width is y units. What is the value of y? y=1.96 y=2.4 y=7.4 y=12.25

Answers

The answers A. y=1.96

Answer:

1.96

Step-by-step explanation:

Consider the universal set R,R, define the interval A=[−7,1],A=[−7,1], interval B=(−1,5),B=(−1,5), and CC be the negative real numbers. Complete the following exercises in interval notation.

1. A∪B=A∪B=

2. A∩B∩C=A∩B∩C=

3. A∩(B∪C)=A∩(B∪C)=

4. A^c ∪ B^c∪ C^c=

5. (C−A)∪(B−C)=(C−A)∪(B−C)=

Answers

Draw a diagram representing the real number line, and the sets A  and B.

According to the diagram:

1. A∪B= [-7, 5)

2. 2. A∩B∩C= (-1, 0)

3. A∩(B∪C)= [-7, 1] ∩ (-INFINITY, 5) = [-7, 1]

4. 4. A^c ∪ B^c∪ C^c= (not A) ∪ (not B) ∪ (not C) = 

(-infinity, -7) ∪ (1, infinity)   ∪  (-infinity, -1] ∪ [5, infinity)   ∪ [0, infinity)

= (-infinity, -1] ∪ (1, infinity ) ∪ [0, infinity) = (-infinity, -1] ∪ [0, infinity) 

5. (C−A)∪(B−C)= "in C but not in A" union "in B but not in C"

=(-infinity, -7) ∪ [0, 5) 

Final answer:

The question involves calculating various set operations in interval notation, including the union, intersection, and complements using intervals A, B, and set C (negative real numbers) within the universal set of real numbers R.

Explanation:

The student is working with set operations in interval notation, particularly focusing on the union, intersection, and complement relative to the set of real numbers R. Given intervals A=[-7,1], B=(-1,5), and set C being the negative real numbers, we need to perform various set operations.

A⋃B is the union of A and B, which is the set of all elements in either A or B.A∩B∩C is the intersection of A, B, and C, which represents all elements common to all three sets.A∩(B⋃C) represents the intersection of A with the union of B and C.A¹ ⋃ B¹ ⋃ C¹ is the union of the complements of A, B, and C relative to the universal set R.(C-A)⋃(B-C) represents the union of the set difference of C and A with the set difference of B and C.

PLEASE HELP!! IM VERY STUCK.
Although she's only in middle school, Tameka loves to drive go-carts! Her favorite place to drive go-carts, Drivers Delight, has 3 circular tracks. Track 1 has a radius of 60 feet. Track 2 has a radius of 85 feet. Track 3 has a radius of 110 feet.
a. Compute the circumference of Track 1.
b. Compute the circumference of Track 2.

Answers

There is only one useful equation that we can apply to both questions. That would be the formula for the circumference of a circle.

Circumference = 2πr, where r is the radius of the circle

a.) Since track 1 has a radius of 60 ft,

Circumference = 2π(60 ft) = 378 ft

b.) Since track 2 has a radius of 85 ft,

Circumference = 2π(85 ft) = 534 ft

Answer:

Circumference of Track 1 is 377.14 feet and circumference of Track 2 is 534.29 feet.

Step-by-step explanation:

Consider the provided information.

Drivers Delight, has 3 circular tracks. Track 1 has a radius of 60 feet. Track 2 has a radius of 85 feet. Track 3 has a radius of 110 feet.

Part (A)

Compute the circumference of Track 1.

Track 1 has a radius of 60 feet.

The formula used to find the circumference of the circle is: [tex]2\pi r[/tex]

The circumference of Track 1 is:

[tex]2\pi r=2\times \frac{22}{7}\times 60[/tex]

[tex]2\pi r=377.14 [/tex]

Thus, circumference of Track 1 is  377.14 feet.

Part (B)

Compute the circumference of Track 2.

Track 2 has a radius of 85 feet.

The circumference of Track 2 is:

[tex]2\pi r=2\times \frac{22}{7}\times 85[/tex]

[tex]2\pi r=534.29 [/tex]

Thus, circumference of Track 2 is 534.29 feet.

math question down below

Answers

x - 2/5 = 7
5x - 2 = 35
5x = 37
  x = 37/5
  

if a = 42 and b = 2 then find ab

Answers

a = 42
b = 2
ab = (42)(2) = 84
If a=42 and b= 2 then the answer is 84

Which point below is not on the graph of p(x) = /36-x?

Answers

ooh fun!

It is (-35,1) hope this helps, have a nice week! ;D

Answer:

(-35,1)

Step-by-step explanation:

the quotient of a number and -2

Answers

Written form is n/-2.

Compare and contrast expressions equations and inequalities

Answers

Equations can have one solution, but inequalities have infinite solutions.

Hope this helps!

Each night Ann and her family empty their pockets, purses, and wallets and place all of the pennies, nickels, dimes, and quarters in a large container. Ann helps her father count the money. If there are 145 pennies, 42 dimes, & 12 quarters, how much money did she count?

Question 4 options:

$8.65


$11.65


$46.45


$199.00

Answers

The answer to this is $8.65 because pennies are equal to 1 cent so 145 pennies is $1.45. Dimes are equal to 10 cents so 42 dimes is $4.20 and lastly quarters are 25 cents each so 12 quarters is $3.00 and you just add them all up and it equals $8.65

One photoshop charges $0.36 per print. Another photoshop charges $2.52 plus $0.08 per print. Juan finds that the cost of printing his photos is the same at either shop. How many photos does Juan have to print?

Answers

He would have to print 9
He needs to print 9

what is 9 + t/12 = -3

Answers

9 + t/12 = -3

t/12 = -12

t = -144

hope this helps
t/12 = -3 -9
t/12 = -12
t = -12 x 12
t = -44

Jeremy drew a polygon with four right angles and four sides with the same length. Name all the polygons that he could have drawn

Answers

Square. 

A square is a rectangle, so rectangle.

A rectangle is a parallelogram, so parallelogram.

Equilateral.

Also Rhombus.

(I think there may be others but these are the few I know)

A mother wants to invest ​$11,000.00 for her​ son's future education. She invests a portion of the money in a bank certificate of deposit​ (CD account) which earns​ 4% and the remainder in a savings bond that earns​ 7%. If the total interest earned after one year is $ 660.00, how much money was invested in the CD​ account?

Answers

First let's set the formula
0.04x+0.07 (11000-x)=660
Solve for x
0.04x+770-0.07x=660
0.04x-0.07x=660-770
-0.03x=-110
X=110÷0.03
X=3,666.67 round this answer
X=3667 invested in the CD account at 4%

The remainder is invested in the saving bond the earns 7% which is
11,000−3,667=7,333

Hope it helps!
Final answer:

The mother invested $5000 in the CD account and the remaining $6000 in a savings bond. This solution was arrived at by setting up a system of two equations, which we solved simultaneously.

Explanation:

Let's denote the amount of money invested in the CD account as x and the amount in the savings bond as y. The total amount of money is $11000, so we can set up the first equation as: x + y = 11000.

Then, the mother earns interest from both accounts. The CD account earns 4%, that's 0.04x while the savings bond earns 7%, that's 0.07y. The total interest is stated to be $660, so we can have the second equation as: 0.04x + 0.07y = 660.

From the first equation, we can solve for y: y = 11000 - x and substitute it into the second equation which gives us: 0.04x + 0.07(11000 - x) = 660.

Solving for x, you should get approximately $5000. This means a balance of $6000 was invested in the bond (11000 - 5000). Therefore, the mother invested $5000 in the CD account.

Learn more about Simultaneous Equations here:

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Simplify using exponents: B12/B5

Answers

I think what you mean is:
[tex]\frac{b^{12}}{b^{5}}[/tex]

Then using our rules of exponents, this is the same as
[tex]b^{12-5}=b^{7}[/tex]

Answer: call 267 188 3800 today

Step-by-step explanation:

What is the correct solution to this problem? A number divided by 3 is four more than –11. What is the number?

A-45
B-21
C-7/3
D45

Answers

If we represent the number as n, we get n/3=-11+4 since that number divided by 3 is 4 more than -11. Therefore, we get n/3=-7. Multiplying both sides by 3, we get n=-21

How to write 75 1/3 % as a fraction in simplest form

Answers

Answer:

The simplified form of the provided fraction is [tex]\frac{226}{3}\%[/tex].

Step-by-step explanation:

Consider the provided fraction.

The provided fraction can be written as:

[tex]75\frac{1}{3}\%[/tex]

Convert the provided mixed number into a proper fraction.

Multiply the number 75 with 3 and add 1 to the obtained number.

[tex]75\frac{1}{3}\%[/tex]

[tex]\frac{(75\times 3+1)}{3}[/tex]

[tex]\frac{225+1}{3}\%[/tex]

[tex]\frac{226}{3}\%[/tex]

Hence, the simplified form of the provided fraction is [tex]\frac{226}{3}\%[/tex].

Final answer:

To convert 75 1/3 % to a fraction in simplest form, first change the mixed number to an improper fraction, then write it over 100, and finally simplify by dividing both numerator and denominator by their greatest common divisor.

Explanation:

To convert 75 1/3 % to a fraction in simplest form, start by understanding that a percent is a ratio whose denominator is 100. Therefore, 75 1/3 % can be expressed as the fraction 75 1/3 over 100.

First, convert the mixed number to an improper fraction. Multiply the whole number 75 by the denominator 3 and add the numerator 1:

75 * 3 = 225225 + 1 = 226

Now, 75 1/3 as an improper fraction is 226/3. Write this as a fraction over 100:

226/3 % = (226/3) / 100 = 226/300

To simplify this fraction, we look for the greatest common divisor of 226 and 300, which is 2. Divide both the numerator and the denominator by 2 to get:

Numerator: 226 / 2 = 113Denominator: 300 / 2 = 150

The fraction in simplest form is therefore 113/150.

how can you quickly calculate 20 percent of any bill amount?

Answers

Move the decimal point in your pretax bill one place to the left to get $5.375 from $53.75.Round up to the next easy number: $5.40.Double that number to get $10.80, which is 20% of your original bill.

Answer:

There are many ways to do this calculation. Few are listed below.

1. Whenever we say percent, that means divided by hundred. And any number divided by 100 will result in putting a decimal to two places left. Like 20% will becomes [tex]\frac{20}{100}[/tex] = 0.20

And you can multiply the bill amount with 0.20 mentally.

2. You can also simply divide the total bill amount by 5, it will be equal to  20% of the total bill amount. Like if bill amount is $200.

[tex]\frac{200}{5}=40[/tex] and [tex]0.20\times200=40[/tex]. Both values are same.

How is the quotient of a number and 6 decreased by 10 is equal to 2

Answers

I think it'd be 6-10= -4  and then -4 + 2 = 6.

Did that make sense?

If three people share seven cookies equally. How many cookies do each friend get in fractions?

Answers

Each person would get 7/3 cookies, or 2 1/3
Each friend gets 2 1/3 cookies

Dale finished a puzzle in 6 minutes. How many seconds is this?

Answers

One minute is sixty seconds. 

So we can do 6 times 60 and the answer comes out to 360. It took him 360 seconds to complete the puzzle. 
360 seconds.
6 minutes x 60 seconds = 360 Seconds

explain ehy the square root of 64 has a positive and a negative value.

Answers

The square root of 64 is 8, or -8

This is because 8 times 8 is 64

And -8 times -8 is 64 (because a negative times a negative is a positive)
The square root of 64 has both a negative and positive value because as we know it's 8 and -8. To square, you simply multiply the number by its self twice, since a negative number time a negative number is a positive number and a positive number times a positive number is also positive so -8x-8=64 and 8x8=64.

Hope this helped!

Using algebraic equation to find the measures of the two angles described below Begin by letting X represent the degree measure of the angle supplement the measure of the angle is 17 times greater than its supplement what is the measure of the supplement what is the measure of the other angle

Answers

a = an angle x = its supplement . a + x = 180 by the definition of the supplement so a = 180-x x = 180-a . a = 17x substitute 17x + x = 180 18x = 180 x = 10 . a = 17*10 a = 170

On a map of Tennessee, one inch represents 15 miles. If Chattanooga and Nashville are 11.3 inches apart on the map, how many miles apart are the cities?

Answers

The answer is 169.5 miles

You're supposed to multiply 15 and 11.3 to get the answer.
if you do 15 times 11.3 that equals 169.5 mi

what is m equal to if 7m+12/8=2m-1/3

Answers

7m + 12/8 = 2m - 1/3
7m - 2m = -1/3 - 12/8
5m = -11/6
m = -11/30

Aurelia has 4 hats one green one yellow one blue and one purple she has 3 pretty bow ties for them one with stripes one with polka dots and one with checks if she must use one bow per hat how many different hats can she possibly make assuming she can any bow on any hat and change them whenever she chooses

Answers

This question is tricky but I think the answer  is 12

The temperature dropped 2°F every hour for six hours what was the total number of degrees the temperature change in the six hours?

Answers

2 degrees drop every hour, so 6 * 2 = 12

So, it would drop by 12 degrees after 6 hours.
To do this, multiply -2 by 6 to get -12.

Answer: -12 °F
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