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sineoko [7]
3 years ago
13

Julie is selling candy bars to raise money for new band uniforms. Candy bar X sells for $2 and candy bar Y sells for $3. Julie n

eeds to sell at least three times more Y candy bars than X candy bars. She has at most 36 candy bars to sell. Which objective function can be used to find the profit P that Julie makes from selling the candy bars?
A) P = x + y
B) P = 36xy
C) P = 2x + 3y
D) P = 3x + 2y
Mathematics
2 answers:
xxMikexx [17]3 years ago
7 0
The answer to the question is c
sergiy2304 [10]3 years ago
4 0

Answer:

Answer is C P = 2x + 3y

Step-by-step explanation:

Selling price of candy bar X =$2

Selling price of candy bar Y =$3

So if Julie sells x from X candy bars and y bars from Y candy bars,

Profit made from selling X candy bars = 2\times x

Profit made from selling Y candy bars = 3\times y

Therefore, assuming that there is no cost for the candy bars the profit by selling candy bars can be represented by the following objective function:

P = 2x + 3y

Therefore, answer is C


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Solve the following Systems of Equations by Substitution or Elimination
Likurg_2 [28]

Answer:

(-1,2)

Step-by-step explanation:

y = -2x ______(1)

7x - 8y = -23 ________(2)

Substituting the value of y in eqn.(1) into eqn (2);

7x - 8(-2x) = -23

7x + 16x = -23

23x = -23

x = -1

y = -2(-1) = 2.

7 0
3 years ago
Two children, Ferdinand and Isabella, are playing with a water hose on a sunny summer day. Isabella is holding the hose in her h
wolverine [178]

Answer:

 f = 0.84 or 84%

Step-by-step explanation:

Given:

- Original constant velocity of water v_o = 3.5 m/s

- The original diameter of the hose opening d_o = 1.5 cm

- The total vertical distance y(f) = 1.0 m

- The total range x(f) = 10.0 m

Find:

What fraction of the original area does Isabella has to reduce or pinch so the water can cover the entire range.

Solution:

- We will assume the flow of water as a stream of particles that follow a path of single point.

- Using second kinematic equation in the vertical direction and compute the time it takes the water to reach the ground:

                                  y(t) = y(0) + v_y*t + 0.5*gt^2

Where, y(0) = v_y = 0,

                                  1.0 = 0.5*g*t^2

                                  t = sqrt ( 2*1 / 9.81 )

                                  t = 0.4515 s

- Now we will use the second equation of motion for the x- direction motion:

                                 x(t) = x(0) + v_x*t

Where, x(0) = 0,

                                 10 = 0 + v_x*(0.4515)

                                 v_x = 10 / 0.4515 = 22.1 m/s

- We have calculated the minimum velocity required to reach the range from isabella and ferdinand.

- We will use the continuity equation to compute the area required for the velocity calculated v_x = 22.1 m/s:

                                A_f*v_x = A_o*v_o

                                A_f = A_o*v_o / v_x

                                A_f = pi*0.015^2*3.5 / 4*22.1

                                A_f = 1.12 * 10^-4 m^2

- The fraction f of the reduction of area is:

                                f = (A_o - A_f) / A_o

                                f = (7.068*10^-8 - 1.12*10^-4) / (7.068*10^-8)

                               f = 0.84 or 84%

4 0
3 years ago
The equation of line f is y − 9 = -5(x + 7) . Line g is parallel to line f and passes through (3, -8) . What is the equation of
Kisachek [45]

Answer:

The slope intercept form: y = - 5x + 7

Step-by-step explanation:

The equation of line f is y − 9 = -5(x + 7)

You need to find the slope of line f

y - 9 =  -5(x + 7)

In point slope form: y - y1 = m(x - x1) where m = slope

In the line f, slope m = -5

Parallel lines, slope is the same so slope of line g is also equal - 5

Line g passes through (3, - 8) so equation in point slope form:

y + 8 = -5(x - 3)

y + 8 = -5x + 15

y = -5x + 7    <-----this is slope intercept form

5 0
3 years ago
How many solutions does the system have? y = -2x-4 \\\\ y = 3x+3
lakkis [162]

Answer:

The system has one solution.

Step-by-step explanation:

We have two equations:

y = -2x - 4

y = 3x + 3

Equalling them:

y = y

-2x - 4 = 3x + 3

5x = -7

x = -\frac{7}{5}

And

y = 3x + 3 = 3(-\frac{7}{5}) + 3 = \frac{-21}{5} + 3 = \frac{-21}{5} + \frac{15}{5} = -\frac{6}{5}

Replacing in the other equation we should get the same result.

y = -2x - 4 = -2(-\frac{7}{5}) - 4 = \frac{14}[5} - 4 = \frac{14}{4} - \frac{20}{5} = -\frac{6}{5}

So the system has one solution.

3 0
3 years ago
How do I solve: 15 - w/4 = 28 (this is 2 step equations)
kenny6666 [7]
First we need to isolate the variable so we add 15 to both sides which is
w/4=43  then we need to multiply by 4 to both sides so its 4w=172
then divide by 4 which is 43 so the answer is w=43
8 0
3 years ago
Read 2 more answers
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