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
Natali5045456 [20]
2 years ago
9

Mr. Brown needs to price items that must be sold within 90​ days, and he has two options. In option​ A, Mr. Brown prices items a

t​ $225 and gives​ $1.00 off the price each day that the item does not sell. In option​ B, he prices items at​ $250 and gives​ $2.00 of the price each day that the item does not sell Write and solve a system to determine when the two options yield the same price.
Mathematics
1 answer:
Gre4nikov [31]2 years ago
7 0

Answer:

The two options yield the same price at 25 days.

Step-by-step explanation:

With the information provided, you can say that the option A would be equal to option B, which would be:

225-1x=250-2x, where x is the number of days that the item does not sell

Now, you can solve for x:

-1x+2x=250-225

x=25

According to this, the answer is that the two options yield the same price at 25 days.

You might be interested in
A certain car rental location charges a daily fee as well as a mileage charge. On one trip a businessman rented a car for the da
nikklg [1K]

Answer:

x\approx 267\ miles

Step-by-step explanation:

<u>Linear Modeling</u>

Some events can be modeled as linear functions. If we are in a situation where a linear model is suitable, then we need two sample points to make the model and predict unknown behaviors.

The linear function can be expressed in the slope-intercept format:

f(x)=mx+b

For the problem at hand, we must pick the adequate variables according to the data provided.

The question states the charge for renting a car is a function of the mileage. It also provides two points from which we can build our model. Let's set the following variables:

c = the charge for renting a car in dollars

x = the distance driven by the businessman in miles

Representing the ordered pair as (x,c), we have the points: (150,79) and (65,63.70). Our model will be expressed as:

c = mx+b

We must find the values of m and b with the data provided. Substituting the first point:

79 = 150m+b

Substituting the second point:

63.70 = 65m+b

Both equations form the following system:

\left\{\begin{matrix}150m+b=79\\ 65m+b=63.70 \end{matrix}\right.

Subtracting both equations:

150m-65m=79-63.70

Note the variable b was canceled out in the operation, leaving only the variable m to solve. Joining like terms:

85m=15.3

Solving:

m=15.3/85=0.18

From the first equation

79 = 150m+b

Solving for b:

b=79-150m=79-150(0.18) = 52.

The model for the problem is:

c=0.18x+52

Now we need to calculate how many miles (x) could be driven for c=$100. From the equation above, substitute c=100

100=0.18x+52

Solve for x:

0.18x+52=100

0.18x=100-52=48

x=48/0.18=266.67

Rounding to the closest integer:

\boxed{x\approx 267\ miles}

7 0
3 years ago
Round the number of connected computers 42,199,279 to the nearest ten million
Flura [38]
10, 000, 000 = ten million
40, 000 ,000 is the answer for the nearest ten million
3 0
3 years ago
Read 2 more answers
11. Higher Order Thinking Using what you know
Lynna [10]

Answer:

m∠1 + m∠3 = m∠2 + m∠4

Step-by-step explanation:

In the figure attached,

In the given trapezoid if two sides AB and CD are parallel and AD is a transverse,

m∠1 + m∠3 = 180°

Similarly, if AB and CD are parallel and BC is a transverse,

m∠2 + m∠4 = 180°

Therefore, m∠1 + m∠3 = m∠2 + m∠4 is the relation between these angles.

6 0
3 years ago
What the correct answer is​
Vesna [10]

Answer:

so the answer from paper is DC

4 0
3 years ago
1.35 x 8.8 please send a picture step by step I’m very confused thank you
Igoryamba

Answer:

Check out the image below!

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
Other questions:
  • Suppose you have $16,000 to invest in three stocks, A, B, and C. Stock A is a low-risk stock that has expected returns of 4%. St
    13·2 answers
  • The average cost of tuition and room and board at a small private liberal arts college is reported to be $8,500 per term, but a
    12·1 answer
  • -7-(-6)-(-5) using keep, flip, change method
    9·2 answers
  • Could you please help me with this?
    5·2 answers
  • Plz help I will give Brainlyest plz help fast
    15·1 answer
  • Find the product of each pair of complex conjugates.<br><br> (3 + 8i)(3 – 8i) =
    5·1 answer
  • Factor Trinomials:
    13·1 answer
  • A local vet wants to survey his clients about their satisfaction regarding the care their pet received. He groups all of the cli
    7·2 answers
  • Can you plz help me with number 3 im not really getting it
    13·2 answers
  • On August 11, Snippet Incorporated closed at $12,311 per share. One year earlier, one share closed at $14,298. What was an appro
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!