2. Nick and Adam workout together. Nick weighs
160 pounds and is gaining about 3 pounds per
week. Adam weighs 195 pounds and is los ng
about 2 pounds each week. Write an equation
that can be used to find the number of weeks
that it will take them to weigh the same amount.
a. Equation:
b. Solution:
c. How much will Nick and Adam weigh?

Answers

Answer 1

Answer:

Equation: 160 + 3x = 195 - 2x

Solution: 7 weeks

Step-by-step explanation:

x is going to stand for the number of weeks

Nick:

160 + 3x

Adam:

195 - 2x

Equation: 160 + 3x = 195 - 2x

Solution: 7

They would weigh 181 pounds

Answer 2

The equation to find when Nick and Adam will weigh the same amount is

160 + 3w = 195 - 2w

It will take 7 weeks for Nick and Adam to weigh the same amount.

After 7 weeks, Nick and Adam will both weigh 181 pounds.

What is an equation?

An equation contains one or more terms with variables connected by an equal sign.

Example:

2x + 4y = 9 is an equation.

2x = 8 is an equation.

We have,

a.

Let w be the number of weeks, then the equation to find when Nick and Adam will weigh the same amount is:

160 + 3w = 195 - 2w

b.

To solve for w, we can simplify the equation:

160 + 3w = 195 - 2w

5w = 35

w = 7

c.

To find how much Nick and Adam will weigh after 7 weeks, we can plug w = 7 into either of the original equations:

Nick's weight = 160 + 3w = 160 + 3(7) = 181 pounds

Adam's weight = 195 - 2w = 195 - 2(7) = 181 pounds

Thus,
The equation to find when Nick and Adam will weigh the same amount is

160 + 3w = 195 - 2w

It will take 7 weeks for Nick and Adam to weigh the same amount.

After 7 weeks, Nick and Adam will both weigh 181 pounds.

Learn more about equations here:

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Related Questions

Hello im in 8th grade and I need to get my grades up so anyone know the answer to
-12 minus 12x = 36
work also needs to be shown if possible thank you​

Answers

Answer:

x = 3

Step-by-step explanation:

12x = 36

simply 12 will go to the other side and switches to the opposite sign for example + will be -

× will br ÷

so 36 ÷ 12 =3

x = 3

if m<1=53° what is m<3

Answers

Answer:

its 159

Step-by-step explanation:

PLEASE ANSWER THIS QUICKLY WITH PLOT POINTS!! ILL GIVE BRAINLIEST!

y=-8 y=-2-12

Answers

Answer:

For the first one your first point is going to be on (0, -8) and will be a continuous horizontal line.

For the second equation the first point will be on (0, -12)

you want to go down two points and go to the right once point so (1, -14), (2,-16), (3,-18)

you also want to go up two points and to the left once so (-1, -10), (-2, -8), (-3, -6) and so on

what is 82.68 ÷ 1,000?​

Answers

Hello, I am BrotherEye

Answer:. 0.08268

Step-by-step explanation:

However many zeros there is you push that down so if it was 20.40 divided by 100 there is two zeros in 100 so the answer would be .2040

What is the perimeter of the composite figure?

Answers

Answer: 96 cm

Step-by-step explanation:

The perimeter is the combined sum of the sides.

So 18 + 22 + 3 + 8 + 6 + 15 = 72

To find the 2 missing sides we use the information we already have.

On the top, we can see 18 is overall the largest line from the missing side.

So we'll need to subtract something from 18.

15 - 8 = 7 ( Inferencing )

18 - 7 = 11 ( length of the top missing side )

22 - 9 = 13

11 + 13 + 72 = 96 cm

Answer:  The perimeter is 85 cm

Step-by-step explanation:

To find the perimeter you will need to add the distance around the shape.

But there seem to be one missing side .

To find that missing side we will have to add 3cm and 6 cm then subtract it from 22.

3 + 6 = 9

22 - 9 =  13

Now add the distance around the shape plus the 13.

22 + 15 + 6 + 8 + 13 + 3 + 18 =  85

Solve for x
4 - ( 2x - 2) + 3x = 4(x + 5) - 3(x-2)-10

Answers

Step-by-step explanation:

4 + x + 3x = 4 ( 5x ) - 3 ( x ) - 10

4 + x + 3x = 4 + 5x - 3 + x - 10

x + 3x + 5x + x = 4 + 4 - 3 - 10

10x = 21

10x % 10 = 21 % 10

x = 2,1

Alto and Brian both ordered the same size pizzas and Marco's Pizza;

however, they ordered different toppings. Marco's charges an additional

fee for toppings, but all toppings cost the same. Alto got pepperoni,

banana peppers, and black olives on his pizza for a cost of $15.74. Brian

order mushrooms and eggplant of his pizza and paid $14.49. Using this

information, write an equation for the cost of a pizza, C, as a function of

the toppings, t, ordered. *Hint: slope intercept form and you will need the

slope formula

Answers

Answer:

Cost of pizza = 1.25x + 11.99

Step-by-step explanation:

Since Toppings cost the same and the pizza orders are of same size :

Alto ordered for 3 Toppings + pizza = 15.74

Brian ordered for 2 toppings + pizza = 14.49

Hence the cost per topping and pizza could be found :

Cost per topping :

15.74 - 14.49 = 1.25

Hence, slope = 1.25

The intercept, c represents the cost of pizza alone :

Cost of pizza + 2 Toppings = 14.49

Cost per topping = 1.25

Cost of pizza = 14.49 - 2(1.25)

Cost of pizza = 14.49 - 2.50 = 11.99

Expressing in slope - intercept form :

y = mx + c

m = slope ; c = intercept

Cost of pizza = 1.25x + 11.99

Solve the system.
3x + 2y + 4z = 11
2x – y + 3z = 4
5x – 3y + 5z = -1
Enter your answer as an ordered triple.


Someone help please!!

Answers

My math problem is write one hundredths as a decimal

Answer:   (x, y, z) = (-3, 2, 4)

In other words, x = -3, y = 2 and z = 4.

You'll enter the number only into each box.

===============================================================

Explanation:

There are a few routes we can take to solve this. I'll use substitution.

First let's isolate y in the second equation.

2x - y + 3z = 4

2x + 3z = 4+y

4+y = 2x+3z

y = 2x+3z-4

This is then plugged into the first equation

3x+2y+4z = 11

3x+2( y )+4z = 11

3x+2( 2x+3z-4)+4z = 11 .... replace y with 2x+3z-4; since y = 2x+3z-4

3x+4x+6z-8+4z =11

7x+10z-8 = 11

7x+10z = 11+8

7x+10z = 19 .... we'll call this equation (4) and come back to this later

--------------------------------------

Move onto the third equation (of the original equations given)

Plug in y = 2x+3z-4

5x - 3y + 5z = -1

5x - 3( y ) + 5z = -1

5x - 3( 2x+3z-4 ) + 5z = -1

5x - 6x - 9z + 12 + 5z = -1

-x - 4z + 12 = -1

-x - 4z = -1-12

-x - 4z = -13 ..... let's call this equation (5)

--------------------------------------

To recap, we found equation (4) and equation (5) to be

7x+10z = 19-x - 4z = -13

We can then solve for x in equation (5) like so

-x - 4z = -13

-x = -13 + 4z

-x = 4z - 13

x = -(4z - 13)

x = -4z + 13

This is then plugged into equation (4)

7x+10z = 19

7(-4z+13)+10z = 19 .... note how we now have one variable

-28z+91+10z = 19

-18z+91 = 19

-18z = 19-91

-18z = -72

z = -72/(-18)

z = 4

We can use this value of z to find x

x = -4z+13

x = -4(4)+13

x = -16+13

x = -3

Use the values of x and z to find y. We'll revisit the first equation in which we isolated y

y = 2x+3z-4

y = 2(-3)+3(4)-4

y = -6+12-4

y = 6-4

y = 2

So overall, the solution to this system is (x, y, z) = (-3, 2, 4)

-------------------------------

Checking the answer:

We'll replace x,y,z with the values we found.

In the first equation, 3x+2y+4z = 11 becomes 3(-3)+2(2)+4(4) = 11 and that simplifies to 11 = 11. In other words, the expression 3(-3)+2(2)+4(4)  turns into 11. This confirms the first equation.Repeat the same idea for the second equation. We have 2x-y+3z=4 turn into 2(-3)-2+3(4) = 4 and that simplifies to 4 = 4. The answer is verified here. The third equation 5x-3y+5z = -1 becomes 5(-3)-3(2)+5(4) = -1 which simplifies to -1 = -1. We get a true equation here as well.

Since all three equations are true when (x, y, z) = (-3, 2, 4), this verifies the answer completely. This is the only solution to the system. The system is independent and consistent.

ASAP PLASE HELP AND SHOW WORK
Each choice below describes the lengths of the sides of a triangle. Select all the triangles that must be right triangles.

Triangle a- √3,√4,√5

Triangle b- 3,4,5

triangle c- 2,4,6

Triangle d- √2,√4√6

Answers

Answer:

triangle b and triangle d

Step-by-step explanation:

3^2+4^2=5^2

2+4=6

Answer:

Triangle b- 3,4,5

5²=3²+4²

Triangle d- √2,√4√6

(√6)²=(√2)²+(√4)²

PLZ PLZ PLZ ANSWER THIS!!!!

Answers

Answer:

a.

Step-by-step explanation:

girls 60/50

boys 40/50

40/50 is 10

Noah ran 54 miles in 9 days.The graph relating Greta’s total distance to the number of days passes through the points (0,0) and (5,45).Who ran more miles per day?

Answers

Answer: Noah ran more miles

Step-by-step explanation:

Select all of the attributes of the right rectangular prism.

Answers

Answer:

Opposite faces are parallel

There are 6 faces

All faces meet at 90 degrees.

Step-by-step explanation:

I think

what is the number sentence​

Answers

Answer:

A number sentence is a mathematical sentence made up of numbers and signs. So for example 15 + 7.

They can use any of the mathematical operations so addition, subtraction, multiplication and division

Number sentences can be true or false. Example, 5 + 7 = 13

good luck, i hope this helps :)

HEEEEELLLLPPPP
write a short explanation of why the distance formula works and include a discussion of why either point can be point 1 or point 2

Answers

Answer:

Finding the distance between two distinct points on a plane is the same as finding the hypotenuse of a right triangle. From this perspective, the distance formula states that the distance of two distinct points on a plane is equal to the square root of the sum of the square of the rise and run.

I can not Put Out The Points So Im sorry.

Which is not a reactant needed for producing food in a green plant?
A. Carbon Dioxide
B. Oxygen
C. Water

Answers

Answer:

B. Oxygen

Hope you got your answer! ☺️

The reactant not needed for producing food in a green plant is

Oxygen.

Option B is the correct answer.

What are reactants?

Reactants are the elements in a process of production that helps in the process of production.

We have,

The process of producing food in a green plant are:

Plants take carbon dioxide, water, and sunlight from their surroundings to make their own food.

This process is called photosynthesis.

Oxygen is the waste product released during this process.

Thus,

Oxygen is not a reactant needed for producing food in a green plant.

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Alina can blow 48 balloons in 16 minutes. What is the unit rate of blowing per minute?

Answers

Answer:

3 balloon

Step-by-step explanation:

48 divide by 16

CANNNNN ANYONE FIGURE TJIS OUTTT

Answers

Answer:

6.7

Step-by-step explanation:

Since both the figures are similar, so their corresponding sides would be in proportion.

Therefore,

[tex] \frac{a}{12} = \frac{5}{9} \\ \\ a = \frac{60}{9} \\ \\ a = 6.7 \: [/tex]

Draw graph of straight lines to find approximate solution to these simultaneous equations . y = 3x + 7 and 2y + x = 2

Answers

Answer:

(-1.714, 1.857)

Step-by-step explanation:

Here, we want to find the approximate solution to the system of linear equations

We start by plotting the graph of the lines

We have the plot as shown below;

the red line represents the first equation while the blue line represents the second equation

We have the solution as the point at which the two lines meet

The solution to this is;

(-1.714, 1.857)

Gary is building a new L-shaped desk for his room. He wants to make sure it
is large enough to hold all his supplies. The dimensions of the desk, in feet,
are shown in the diagram. What is the area of the desk?
9 ft
2 ft
6 ft
6 ft
4 ft
3 ft
A. 24 square feet
B. 36 square feet
C. 30 square feet
D. 54 square feet

Answers

Answer:

30ft2.  so its c

Step-by-step explanation:

its 30

quiz verified

PLSSSS HELPPPPP ASAPPPP

Answers

Answer:

b

Step-by-step explanation:

56 + (-56)
Find each sum

Answers

Answer:It equals 0.

Step-by-step explanation:

Because the 56 in parenthesis is a negative so when you add it equals nothing.

6 and -6 are at the same distance from ____ on the number line.

Answers

Answer:

0

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

(NegativeA) + (PositiveA) = 0

Note for future reference:

(NegativeA) + (PositiveB) = (NegativeC)

(PositiveA) + (NegativeB) = (NegativeC)

(NegativeA) + (NegativeB) = (NegativeC)

(PositiveA) + (PositiveB) = (PositiveC)

Hope this helps!

4/5 cm * 3/8 cm
please answer fast ​

Answers

Answer:

= 3/10 cm or you can put 0.3 cm

Mike has $72 and he needs to buy some apples. Which of these equations would represent mike's situation of the apples cost $0.60 per apple and he wanted to find out how many apples he could buy

Answers

Answer:

120 apples

Step-by-step explanation:

Given data

Total amount= $72

Cost per apple = $0.60

The number of apples = Total amount/Cost per apple

substitute

The number of apples= 72/0.6

The number of apples= 120 apples

Hence he will buy 120 apples

Find the unknow measures of y and x.​

Answers

9514 1404 393

Answer:

  x = 2 m

  y = 30°

Step-by-step explanation:

The side lengths of ΔDEF are 3/9 = 1/3 of those of ΔABC.

  x = DF = 1/3(AB) = (1/3)(6 m)

  x = 2 m

__

Angle measures of ΔDEF are the same as those of the corresponding angles of ΔABC.

  y = ∠B = ∠E = 30°

  y = 30°

please help this is so important and i need it now

Answers

Angle B will be 23 degrees

bs ng to the top left of the most popular c.hatrooms trooms aren't for the best in the United Arab Republic of Ireland in the United Arab Republic in the same time the error occurred to him in a few years later

Step-by-step explanation:

Against the law is a healthy lifestyle of the world of difference between the two of the most important thing is that the only thing we will not...❤️❤️

(ONLY TWO CAPITAL LETTERS) PLEASE ANSWER CORRECTLY!!!!!! WILL MARK BRIANLIEST!!!!!!!! URGENT

Answers

Answer:

HN congruent to NL

Step-by-step explanation:

They have a line crossing both of them, signifiying congruence.

Pls send quotes about no giving up

Answers

“ Work in silence, appear on the stage. When giving up you seem weak. Don’t give up. “

angle sum theory

PLS HELP!!

A)74°

B)92°

C)83°

D)82°

Answers

Answer:

the answer must be 74 or 82

Answer:

It's 58

Step-by-step explanation:

That's the answer

Mr. Greene
purchased 6 movie
tickets for $57.30.
How much does
one movie ticket
cost?

Answers

Answer:

Each ticket costs $9.55

Step-by-step explanation:

You divide 57.30 by the number of tickets(6).  

57.30/6 = 9.55

Answer:

6 movie = $57.30

1 movie = $x

57.30 ÷ 6

=  $9.55 for one movie ticet

Step-by-step explanation:

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