answer.
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
mihalych1998 [28]
2 years ago
6

3. Jacob and Sarah are saving money to go on a trip. They need at least $1975 in order to go. Jacob mows lawns and Sarah walks d

ogs to raise money. Jacob charges $25 each time he mows a lawn and Sarah charges $15 each time she walks a dog. The number of dog walks that Sarah has scheduled is no more than four times the number of lawns Jacob has scheduled to mow. Sarah will walk at least 50 dogs. Write a set of constraints to model the problem, with x representing the number of lawns mowed and y representing the number of dogs walked.
Mathematics
1 answer:
kvv77 [185]2 years ago
5 0
1. The total must be at least $1975:    25x+15y \geq \$1975

2. Dog walks is no more than 4 times lawns: y \leq 4x

3. At least 50 dog walks:  y \geq 50
You might be interested in
The dimensions of a rectangular bin are consecutive integers. If the volume of the bin is 4896 cubic inches, what are the dimens
Rom4ik [11]

cubed root of 4896 = 16.98

round to 17

17-1 = 16

17 +1 = 18

16* 17 *18 = 4896

 bin is 16 in x 17 in x 18 in

7 0
2 years ago
Read 2 more answers
Which graph represents the function of f(x) = the quantity of 9 x squared plus 9 x minus 18, all over 3 x plus 6
lora16 [44]

Answer:

The answer is the option C

graph of 3x minus 3, with discontinuity at negative 2, negative 9

Step-by-step explanation:

we have

f(x)=\frac{9x^{2}+9x-18}{3x+6}

Simplify

f(x)=9\frac{(x^{2}+x-2)}{3(x+2)}

f(x)=3\frac{(x^{2}+x-2)}{(x+2)}

Step 1

Convert to a factored form the numerator

x^{2}+x-2=0    

Group terms that contain the same variable, and move the constant to the opposite side of the equation

x^{2}+x=2

Complete the square. Remember to balance the equation by adding the same constants to each side.

x^{2}+x+0.25=2+0.25

x^{2}+x+0.25=2.25

Rewrite as perfect squares

(x+0.5)^{2}=2.25

Square root both sides

x+0.5=(+/-)1.5

x=-0.5(+/-)1.5

x=-0.5+1.5=1

x=-0.5-1.5=-2

so

x^{2}+x-2=(x-1)(x+2)  

Step 2

Simplify the function f(x)

f(x)=3\frac{(x^{2}+x-2)}{(x+2)}=3\frac{(x-1)(x+2)}{(x+2)}

The domain of the function f(x) is all real numbers except the number x=-2

Because the denominator can not be zero

f(x)=3\frac{(x-1)(x+2)}{(x+2)}=3(x-1)=3x-3  

f(x)=3x-3  ------> with a discontinuity at x=-2

f(-2)=3(-2)-3=-9

The discontinuity is at point (-2,-9)

the answer in the attached figure

8 0
2 years ago
Read 2 more answers
6 tractors take 10days to collect the harvest. How long would it take 18 tractors to do the same amount of work?
Nutka1998 [239]
This is a question of proportionality. However, it is not direct proportionality as it is expected that as the number of tractors increases, the work is finished faster as opposed to fewer number of tractors. This is referred to as inverse proportionality.

Therefore;
6 tractors ----- 10 days
18 tractors --- x days

Then,
x = (6*10)/18 = 10/3 days = 3 days, and 8 hours.

This means that 18 tractors will take 3 days and 8 hours to collect the same harvest.
6 0
2 years ago
Triangle J K L is shown. Angle K L J is a right angle. The length of hypotenuse K J is 10.9 centimeters and the length of L J is
scZoUnD [109]

Answer:

sin−1(StartFraction 8.9 Over 10.9 EndFraction) = x

Step-by-step explanation:

From the given triangle JKL;

Hypotenuse KJ = 10.9

Length LJ is the opposite = 8.9cm

The angle LKJ is the angle opposite to side KJ = x

Using the SOH CAH TOA Identity;

sin theta = opp/hyp

sin LKJ = LJ/KJ

Sinx = 8.9/10.9

x = arcsin(8.9/10.9)

sin−1(StartFraction 8.9 Over 10.9 EndFraction) = x

7 0
2 years ago
Read 2 more answers
Sydney was asked whether the following equation is an identity: (2x^2-18)(x+3)(x-3)=2x^4-36x^2+162
weqwewe [10]

Answer:

Any value of x x makes the equation true. All real numbers Interval Notation: ( − ∞ , ∞ ) .

4 0
2 years ago
Read 2 more answers
Other questions:
  • What is 528−−√+63−−√528+63 in simplest radical form?
    5·2 answers
  • 10 POINTS!<br><br> Perform the indicated operation: 2 3/4 - 1/3 =
    12·2 answers
  • A Web site defines a regular polygon as “a polygon with all angles the same measure.” Is this definition valid?
    7·2 answers
  • Visa Card USA studied how frequently young consumers, ages 18 to 24, use plastic (debit and credit) cards in making purchases (A
    6·1 answer
  • Andrea bought tacos from a food truck and left a 25 % 25%25, percent tip of $ 2.00 $2.00dollar sign, 2, point, 00. What was the
    8·1 answer
  • Which points are on the graph of the equation -3x + 6y + 5 = -7?
    5·1 answer
  • Let X, Y, and Z be random variables, and let Cov(⋅,⋅) denote the covariance operator as usual. Suppose that the variance of X is
    6·1 answer
  • Which graph shows the equation V = 4 + 2t, where V is the total volume of water in a bucket and t is the elapsed time in minutes
    10·2 answers
  • Luna is buying food for a dinner party. She is going to buy 2 key lime pies that cost $8.99 each. Shrimp costs $8.50 a pound. Sh
    10·1 answer
  • Mia's work to find the slope of a trend line through the points (3, 10) and (35, 91) is shown below. Mia's Work Step 1 StartFrac
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!