1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
bekas [8.4K]
3 years ago
7

Mr. Taylor weighs 300 pounds. He went on the Subway diet and was guaranteed to lose 5 pounds per week. Write an equation that co

uld be used to find how many weeks, w, it would take for him to weigh 150 pounds
Mathematics
1 answer:
yaroslaw [1]3 years ago
5 0

Answer:

1.) 300 - 5w = 150

2.) 30 weeks

Step-by-step explanation:

w = weeks on the diet

if every week he's on the diet, that means that the weeks * 5 is how many pounds he loses. If he's on the diet one week then he loses 5 pounds. 2 weeks then 10 pounds... etc. But because he's losing punds the value is negative

He starts at 300 pounds so the y-intercept (starting value) would be 300

Finally, because he's looking to get to 150 pounds, that is the final value you're solving for

So this is your firat equation:

300 - 5w = 150

Then we are looking for when two different eqaution have the same value.

Your equation is: 60 + 7w

Her equation is: 120 + 5w

Your final equation is 60 + 7w = 120 + 5w

Solve for this by getting w on one side, and your plain old variable-less value on the other. Do this by subtracting 5w from each side, as well as 60.

Your equation is now 2w = 60

Then divide the whole equation by 2, and you get w = 30

hope this helps, be safe :)

You might be interested in
The translation shown in the graph moves the figure to the right. What kind of translation is shown?
Elena-2011 [213]

the figure go to the left

6 0
3 years ago
Which kind of map would be used to show population in the countries of the world?
yaroslaw [1]

It would be a special purposes map :)

3 0
3 years ago
Question 1<br> Solve the inequality.<br><br> 2/7&gt;b+5/7
Nat2105 [25]

Answer:

b<negative 4/7

Step-by-step explanation:

negative 4/7 plus5/7= 2/7

so b has to be less than negative 4/7.

8 0
2 years ago
40.53 grams divided by 25.5ml rounded to the nearest hundredth
stiks02 [169]

Hi!

Your answer should be: 2.00 (or 2).

Hope this helps!

6 0
3 years ago
Determine whether or not the vector field is conservative. if it is conservative, find a function f such that f = ∇f. (if the ve
Akimi4 [234]
A three-dimensional vector field is conservative if it is also irrotational, i.e. its curl is \mathbf 0. We have

\nabla\times\mathbf f(x,y,z)=-2e^{-x}\,\mathbf k

so this vector field is not conservative.

- - -

Another way of determining the same result: We want to find a scalar function f(x,y,z) such that its gradient is equal to the given vector field, \mathbf f(x,y,z):

\nabla f(x,y,z)=\mathbf f(x,y,z)

For this to happen, we need to satisfy

\begin{cases}f_x=ye^{-x}\\f_y=e^{-x}\\f_z=2z\end{cases}

From the first equation, integrating with respect to x yields

f_x=ye^{-x}\implies f(x,y,z)=-ye^{-x}+g(y,z)

Note that g *must* be a function of y,z only.

Now differentiate with respect to y and we have

f_y=-e^{-x}+g_y=e^{-x}\implies g_y=2e^{-x}\implies g(y,z)=2ye^{-x}+\cdots

but this contradicts the assumption that g(y,z) is independent of x. So, the scalar potential function does not exist, and therefore the vector field is not conservative.
8 0
3 years ago
Other questions:
  • is 3x+4y=12 linear or nonlinear......is y=1/2x+6 linear or nonlinear......is y=4x to the power of 2 linear or nonlinear......is
    13·2 answers
  • What is 3/4r+2r+1/2r pleasssss
    12·1 answer
  • What is the perimeter of trapezoid JKLM? j -7,4 k -4,4 m -8,3 l -2,3
    14·1 answer
  • Eduardo está pensando en un número que esta entre 1 y 20,y que tiene exactamente 5 factores.en que número esta pensando
    8·1 answer
  • It’s not C so I don’t which is the correct answer so can someone plz help me with this plzzz
    14·2 answers
  • What s 7+10. i need an answer now
    14·2 answers
  • The resulting row 1 entries are:<br> 7.12<br> 7.10<br> 7,9
    6·2 answers
  • Solve 5x ≥ 25. Graph the solution.
    9·1 answer
  • A bag contains 2 red marbles, 7 blue marbles and 5 green marbles. If two marbles are drawn out of the bag, what is the exact pro
    10·1 answer
  • F(x) = 3* + 10xand g(x) = 5x - 3, find (f - g) (x)
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!