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
if the pet store had 10 more birds the number of dogs would be double the number of birds what number should be on the scale exp
murzikaleks [220]

Answer:

one that fits

Step-by-step explanation:

#Bird+10 so #dog=2(#birds+10)

5 0
3 years ago
Read 2 more answers
Is the equation y=-2x+5 in standard form? Explain
anyanavicka [17]
The equation, y = -2x + 5, is not in standard form. The standard form of a linear line is ax + by = c. This equation is in slope - intercept form, which is y = mx + b. 
7 0
2 years ago
A phone manufacturer wants to compete in the touch screen phone market. He understands that the lead product has a battery life
alisha [4.7K]

Answer:

a)

The null hypothesis is H_0: \mu \leq 10

The alternative hypothesis is H_1: \mu > 10

b-1) The value of the test statistic is t = 1.86.

b-2) The p-value is of 0.0348.

Step-by-step explanation:

Question a:

Test if the battery life is more than twice of 5 hours:

Twice of 5 hours = 5*2 = 10 hours.

At the null hypothesis, we test if the battery life is of 10 hours or less, than is:

H_0: \mu \leq 10

At the alternative hypothesis, we test if the battery life is of more than 10 hours, that is:

H_1: \mu > 10

b-1. Calculate the value of the test statistic.

The test statistic is:

We have the standard deviation for the sample, so the t-distribution is used to solve this question

t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}

In which X is the sample mean, \mu is the value tested at the null hypothesis, s is the standard deviation and n is the size of the sample.

10 is tested at the null hypothesis:

This means that \mu = 10

In order to test the claim, a researcher samples 45 units of the new phone and finds that the sample battery life averages 10.5 hours with a sample standard deviation of 1.8 hours.

This means that n = 45, X = 10.5, s = 1.8

Then

t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}

t = \frac{10.5 - 10}{\frac{1.8}{\sqrt{45}}}

t = 1.86

The value of the test statistic is t = 1.86.

b-2. Find the p-value.

Testing if the mean is more than a value, so a right-tailed test.

Sample of 45, so 45 - 1 = 44 degrees of freedom.

Test statistic t = 1.86.

Using a t-distribution calculator, the p-value is of 0.0348.

5 0
2 years ago
The negative reciprocal of -5/8 is: A. -5/8 B. 5/8 C. 8/5 D. -8/5
noname [10]

Answer:

+ 8/5

Step-by-step explanation:

Reciprocal is flip

Take the negative flip

- ( - 1 /(5/8))

+ 8/5

7 0
2 years ago
Read 2 more answers
What is the rate of change of y=9x
WARRIOR [948]

Answer:

0,9 maby this is  awser

Step-by-step explanation:

plz tell me if this helps

4 0
3 years ago
Other questions:
  • Which equation in parallel to 3x-5y=10
    10·1 answer
  • (−3y ​2 ​​ −5y−2)+(−7y ​2 ​​ +5y+2)=<br> Standard form please
    14·1 answer
  • Answe these two, please show your work
    8·2 answers
  • 3 – 2x ≥ 5 or 3(x – 2) + 1 &gt; 7
    8·2 answers
  • The high temperature in a Northern City was -6 Today. The high in a Caribbean city today was +99. How much warmer was it in the
    14·1 answer
  • Simplify the radical expression by rationalizing the denominator
    14·1 answer
  • What is the absolute value of negative 2?
    15·2 answers
  • Can someone do a new zoom dont ask questions
    15·2 answers
  • Let f(x) = (1 − x2)2/3. Which type of non-differentiable point exists at x = 1?.
    9·1 answer
  • Solve for x: 5x + one third(3x + 6) &gt; 14 x &gt; twelve fifths x &gt; 2 x &lt; twelve fifths x &lt; 2
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!