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
Anna71 [15]
2 years ago
6

Collins has a part-time job as a dog walker. The table below shows the amount of money Collins earned for different numbers of h

ours of work:
Collins' Earnings from Dog Walking
Number of Hours Worked Money Earned (dollars)
5 30
6 36
8
66


Part A: What are the missing numbers in the table? Show your work. (4 points)

Part B: Collins also does part-time yard work. The ratio of the number of hours Collins works to the money he earns in dollars is 1:7. Create a table to show the money earned by Collins for 5, 6, and 8 hours of doing yard work. (3 points)

Part C: How many more dollars does Collins earn doing yard work for 5 hours than working as a dog walker for 5 hours? Show your work. (3 points)
Mathematics
2 answers:
Katyanochek1 [597]2 years ago
7 0

5HRx5=30

6HRx5=36

8HRx5=40

66HRx5=330

HR stands for hours

Oops sorry this only works for part 1 of your problem

MAXImum [283]2 years ago
7 0

Answer:

30

36

40  

330

HR stands for hours

You might be interested in
Two consecutive even intergers whose sum is 110
Harrizon [31]
Consecutive even integers are 2 apart
they are
x and x+2


sum is 110
x+x+2=110
2x+2=110
minsu 2 both sides
2x=108
divide both sidedse by 2
x=54
x+2=56
the numbers are 54 and 56
7 0
3 years ago
A metal cylinder can with an open top and closed bottom is to have volume 4 cubic feet. Approximate the dimensions that require
Aleksandr-060686 [28]

Answer:

r\approx 1.084\ feet

h\approx 1.084\ feet

\displaystyle A=11.07\ ft^2

Step-by-step explanation:

<u>Optimizing With Derivatives </u>

The procedure to optimize a function (find its maximum or minimum) consists in :

  •  Produce a function which depends on only one variable
  •  Compute the first derivative and set it equal to 0
  •  Find the values for the variable, called critical points
  •  Compute the second derivative
  •  Evaluate the second derivative in the critical points. If it results positive, the critical point is a minimum, if it's negative, the critical point is a maximum

We know a cylinder has a volume of 4 ft^3. The volume of a cylinder is given by

\displaystyle V=\pi r^2h

Equating it to 4

\displaystyle \pi r^2h=4

Let's solve for h

\displaystyle h=\frac{4}{\pi r^2}

A cylinder with an open-top has only one circle as the shape of the lid and has a lateral area computed as a rectangle of height h and base equal to the length of a circle. Thus, the total area of the material to make the cylinder is

\displaystyle A=\pi r^2+2\pi rh

Replacing the formula of h

\displaystyle A=\pi r^2+2\pi r \left (\frac{4}{\pi r^2}\right )

Simplifying

\displaystyle A=\pi r^2+\frac{8}{r}

We have the function of the area in terms of one variable. Now we compute the first derivative and equal it to zero

\displaystyle A'=2\pi r-\frac{8}{r^2}=0

Rearranging

\displaystyle 2\pi r=\frac{8}{r^2}

Solving for r

\displaystyle r^3=\frac{4}{\pi }

\displaystyle r=\sqrt[3]{\frac{4}{\pi }}\approx 1.084\ feet

Computing h

\displaystyle h=\frac{4}{\pi \ r^2}\approx 1.084\ feet

We can see the height and the radius are of the same size. We check if the critical point is a maximum or a minimum by computing the second derivative

\displaystyle A''=2\pi+\frac{16}{r^3}

We can see it will be always positive regardless of the value of r (assumed positive too), so the critical point is a minimum.

The minimum area is

\displaystyle A=\pi(1.084)^2+\frac{8}{1.084}

\boxed{ A=11.07\ ft^2}

8 0
2 years ago
Benjamin buys a candy apple that was on sale for 20% off he paid with a five dollar bill and received 1.80 dollars in change wha
seraphim [82]

Answer:2.2

Step-by-step explanation:

3 0
3 years ago
A group of hikers walked 8 and 7/10 miles. And then 5 and 1/5 miles. How far did they walk altogether?
Anton [14]
13 and 9/10 miles altogether
5 0
3 years ago
The price P of a good and the quality Q of a good are linked.
Irina-Kira [14]

the equilibrium point, is when Demand = Supply, namely, when the amount of "Q"uantity demanded by customers is the same as the Quantity supplied by vendors.

That occurs when both of these equations are equal to each other.

let's do away with the denominators, by multiplying both sides by the LCD of all fractions, in this case, 12.


\bf \stackrel{\textit{Supply}}{-\cfrac{3}{4}Q+35}~~=~~\stackrel{\textit{Demand}}{\cfrac{2}{3}Q+1}\implies \stackrel{\textit{multiplying by 12}}{12\left( -\cfrac{3}{4}Q+35 \right)=12\left( \cfrac{2}{3}Q+1 \right)} \\\\\\ -9Q+420=8Q+12\implies 408=17Q\implies \cfrac{408}{17}=Q\implies \boxed{24=Q} \\\\\\ \stackrel{\textit{using the found Q in the Demand equation}}{P=\cfrac{2}{3}(24)+1}\implies P=16+1\implies \boxed{P=17} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill \stackrel{Equilibrium}{(24,17)}~\hfill



3 0
3 years ago
Other questions:
  • A high-profile consulting company chooses its new entry-level employees from a pool of recent college graduates using a five-ste
    6·1 answer
  • Joanna ran a mile in physical education class. After resting for one hour, her heart rate was 60 beats per minute. If her heat r
    13·2 answers
  • Degree 3 polynomial with integer coefficients with zeros -2i and 7/5
    7·1 answer
  • Why do we estimate a line of best fit for scatter plot
    15·1 answer
  • Cole gets paid $5,000 plus 16% of all his popcorn sales,x, while Michael gets A fixed salary of $55,000.Write an inequality that
    10·1 answer
  • Write an equation in slope-intercept form for the line perpendicular to y=−4x+1 that passes through the point (−7,1)
    13·1 answer
  • 7676fhfghfhfghfhfhfh6
    6·1 answer
  • CL how do I avoid the “talk”
    7·1 answer
  • 0.8% of 150 is what numbers and how do you write the equation with a variable in it.
    13·1 answer
  • Molly puts the flowers shown below into groups with the same number of flowers in each group Use the drop-down menus to tell how
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!