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
crimeas [40]
3 years ago
6

Richie and Phoebe are saving money to buy a new tv. They need at least $510 to purchase the new TV. Phoebe weeds yards and Richi

e walks dogs to earn money. Phoebe charges $12 each time she weeds a yard and Richie charges $9 each time he walks a dog. The number of dog walks that Richie has scheduled is no more than twice the number of yards Phoebe has scheduled to weed. Richie will walk at least 25 dogs.
Write a set of constraints to model the problem, with x representing the number of lawns weeded and y representing the number of dogs walked. (HINT: there are 3 constraint equations).

​
Mathematics
2 answers:
den301095 [7]3 years ago
6 0

Answer:

  • 12x +9y ≥ 510
  • y ≤ 2x
  • y ≥ 25

Step-by-step explanation:

Phoebe earns 12x for her yard weeding, and Richie earns 9y for his dog walking. They want the sum of these earnings to be at least 510, so the first constraint inequality is ...

  12x +9y ≥ 510

__

Richie plans to walk no more than 2x dogs, since y is the number of dogs he walks, the second constraint is ...

  y ≤ 2x

__

Richie will walk at least 25 dogs, so ...

  y ≥ 25

Zepler [3.9K]3 years ago
4 0

Number of yards Phoebe weeds = x

Richie walks no more than 2 times the yards Phoebe does so y ≤ 2x

He will walk at least 25 dogs, so Y ≥25

Then they need to earn at least 510, so 12x + 9y ≥ 510

The three constraints are:

y ≤ 2x

Y ≥ 25

12x + 9y ≥ 510

You might be interested in
The model represents an equation.
madreJ [45]

Answer:

9/5

Step-by-step explanation:

solve the original equation for x

-4× + 3 = 1x +(-6)

-1x

-5x + 3 = -6

-3

-5x = -9

/-5

x = 9/5

CHECK

-4(9/5) + 3 = 1(9/5) +(-6)

-21/5 = -21/5

8 0
2 years ago
Simplify (-2) (-2) (-2) (-2)
kobusy [5.1K]
-2*4=-8
-8 is the correct answer
3 0
3 years ago
Read 2 more answers
There are 81 athletes who joined a parade. Four-ninths of them are basketball players. How many basketball players joined the pa
lozanna [386]

Answer:

36

Step-by-step explanation:

81 x (4/9) =

36

5 0
2 years ago
What is the equation of the line that passes through the origin and is perpendicular to the line 4x+3y=6
frez [133]

The Equation of a Line

The slope-intercept form of a line can be written as:

y = mx + b

Where m is the slope of the graph of the line and b is the y-intercept.

In the specific case where the line passes through the origin (0,0), we can find the value of b by substituting x=0 and y=0:

0 = m(0) + b

Solving for b:

b = 0.

Thus, the equation of the line reduces to:

y = mx

We only need to find the value of the slope.

That is where we need the second data. Our line is perpendicular to the line of equation 4x + 3y = 6.

Solving for y:

y=-\frac{4}{3}x+2

The slope of the second line is -4/3.

We must recall that if two lines of slopes m1 and m2 are perpendicular, then:

m_1\cdot m_2=-1

Substituting the value of m1 and solving for m2:

\begin{gathered} -\frac{4}{3}\cdot m_2=-1 \\ m_2=\frac{3}{4} \end{gathered}

The slope of our line is 3/4 and the required equation is:

y=\frac{3}{4}x

From this last equation, we need to find the general form of the line.

Multiply both sides of the equation by 4:

4y = 3x

Subtract 3x on both sides:

4y - 3x = 0

Reorder:

-3x + 4y = 0

5 0
1 year ago
Find the mean of the data: 14, 9, 2, 13, 16, 3, 13, 10
svp [43]
<span>14+ 9 + 2+ 13+ 16+3+ 13+ 10 = 80
80/8 = 10

answer
mean = 10

</span>
7 0
3 years ago
Other questions:
  • A triangle drawn on a map has sides of lengths 8 centimeters,12 centimeters, and 14 centimeters.the shortest of the correspondin
    8·1 answer
  • Can i please have help with number 6
    9·1 answer
  • Find the perimeter of the window. Round your answer to the nearest tenth.
    11·1 answer
  • Which is greater 5/6 or 1/3
    15·2 answers
  • A group conducted a poll of 2083 likely voters just prior to an election. The results of the survey indicated that candidate A w
    10·1 answer
  • GreenBeam Ltd. claims that its compact fluorescent bulbs average no more than 3.50 mg of mercury. A sample of 25 bulbs shows a m
    6·1 answer
  • Which graph shows the equation y = x - 2?
    7·1 answer
  • I give you all these points, just give me the correct answer
    6·2 answers
  • Help plz I need to fin before today help
    10·1 answer
  • Write an equation of the line passing through point P that is perpendicular to the given line.
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!