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
Alex
3 years ago
11

An ice cream shop makes $1.25 on each small cone and $2.25 on each large cone. The ice cream shop sells between 60 and 80 small

cones and between 120 and 150 large cones in one day. If it costs the owners $350 per day to run the shop, how many of each cone do they need to sell to make a profit each day?
Mathematics
1 answer:
Sergio [31]3 years ago
3 0

Answer:

  • Let x and y represent the numbers of small and large cones sold daily, respectively
  • 60 ≤ x ≤ 80
  • 120 ≤ y ≤ 150
  • 1.25x +2.25y > 350

Step-by-step explanation:

To answer the question, we need to be able to find the number of each type of cone that needs to be sold. For the purpose, it is convenient to define variables that represent those numbers. We have chosen to use the variables x and y to represent the number of small cones and the number of large cones, respectively ("Let" statement in above answer). One could use "s" and "l" as being more mnemonic, but "l" can be confused with a variety of other symbols, so we like not to use it.

The problem statement puts limits on the numbers of small and large cones sold, so our system of inequalities needs to reflect those limits. (We suspect these are not hard limits, but represent historical data. We doubt the shop would decline to sell more, and we can conceive of conditions under which they might sell fewer.)

The heart of the matter is that the profit from each type of cone must total more than $350 (per day). The problem statement requires the shop make a profit, not just break even, so we use the > symbol for profit, instead of ≥.

___

See above for the "Let" statement and the system of inequalities. (This problem does not require we solve them.)

You might be interested in
Consider functions
aniked [119]

b is the correct answer

Step-by-step explanation:

see the step in the picture

6 0
2 years ago
Algebra 1 CR-8
antiseptic1488 [7]

\mathrm{Domain\:of\:}\:x^2+2x-15\::\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-\infty \:

\mathrm{Range\:of\:}x^2+2x-15:\quad \begin{bmatrix}\mathrm{Solution:}\:&\:f\left(x\right)\ge \:-16\:\\ \:\mathrm{Interval\:Notation:}&\:[-16,\:\infty \:)\end{bmatrix}

\mathrm{Axis\:interception\:points\:of}\:x^2+2x-15:\quad \mathrm{X\:Intercepts}:\:\left(3,\:0\right),\:\left(-5,\:0\right),\:\mathrm{Y\:Intercepts}:\:\left(0,\:-15\right)

\mathrm{Vertex\:of}\:x^2+2x-15:\quad \mathrm{Minimum}\space\left(-1,\:-16\right)

4 0
3 years ago
Please. please. please. help
Elza [17]

Answer:

kjh7563653 365385 36539y5 53nkddg dhdk djgd ghgkg d99  76  79

Step-by-step explanation:

5 0
3 years ago
Point Coordinate
telo118 [61]

Step 1:

First, let's order the number from least to greatest.

A. -0.31

B. -0.33

C. -0.38

D. -0.29

We could see that A, B, and C's numbers are already from least to greatest, so all we have to do is to move -0.29 (D) up to the top, since -0.29 is the number with the lowest value.

C. -0.38

B. -0.33

A. -0.31

D. -0.29

Step 2:

Let's look at the four number lines. Remember that we already organized the numbers from least to greatest, so the order they go in on the number line is: C, B, A, and D. Since Line C and D Don't follow that rule, we know those are not our answers. Also on line B, C is on the left of -0.4, but C's value is less than -0.4, so B is wrong. We are left with line A.

Line A: C. -0.38, B. -0.33, A. -0.31, D. -0.29

Our answer: Line A

5 0
3 years ago
Kelsey bought 9.6 ounces of chocolate. 7.9 ounces of it was milk chocolate and the rest was dark chocolate. How much dark chocol
Licemer1 [7]

Answer:

Step-by-step explanation:

dark chocolate = 9.6 - 7.9 = 1.7 ounces

6 0
3 years ago
Other questions:
  • Evaluate 13-0.75w+8x13−0.75w+8x13, minus, 0, point, 75, w, plus, 8, x when w=12w=12w, equals, 12 and x=\dfrac12x=
    10·1 answer
  • Jaheed is making puch for a party. The recipe calls for 3.5 liters of fruit juice. Write a formula to help jaheed determine the
    13·1 answer
  • Write a real-world problem that could be modeled by the equation below. Identify the elements of the percent equation and where
    14·1 answer
  • 25,27
    13·1 answer
  • Which equation could be used to find the number of minutes, m, in h hours?
    10·1 answer
  • A bin contains 72 light bulbs of which 10 are defective. If 5 light bulbs are randomly selected from the bin with replacement, f
    14·1 answer
  • Kesha is choosing a 3 letter password from the letters ABCDE the password cannot have the same letter repeated in it how many su
    6·1 answer
  • Express as a fraction or mixed number 2%
    7·1 answer
  • How many times larger is 4 × 1011 than 2 × 106?
    10·2 answers
  • Multiply (x + 2)(3x² - 4x + 5).
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!