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
Drupady [299]
2 years ago
6

For years, telephone area codes in the United States and Canada consisted of a sequence of three digits. The first digit was an

integer between 2 and 9, the second digit was either 0 or 1, and the third digit was any integer from 1 to 9. How many area codes starting with a 4 were possible?
Mathematics
2 answers:
Over [174]2 years ago
7 0

The first number had to be 4, so only one option for the first number.

The second number was either 0 or 1, so two options for the second number.

The third number was between 1 and 9, so nine options for the third number.

Multiply each number of options together for total options:

1 x 2 x 9 = 18 different codes could start with 4.

Arte-miy333 [17]2 years ago
7 0

It's given that the first number has to be 4, so there's one option for the first.

The second number can be 0 or 1, resulting in 2 options.

The third number is an integer between 1 and 9, so there are 9 options for the third number.

Multiply each number of options together for total options:

1 x 2 x 9 = 18 different codes

You might be interested in
A manufacturer has been selling 1400 television sets a week at $450 each. A market survey indicates that for each $21 rebate off
GuDViN [60]

Correct question is;

A manufacturer has been selling 1400 television sets a week at $450 each. A market survey indicates that for each $21 rebate offered to a buyer, the number of sets sold will increase by 210 per week

A) Find the demand function (price p as a function of units sold x).

p(x)=______

(B) How large a rebate should the company offer the buyer in order to maximize its revenue?

$=_____

Answer:

A) p(x) = (-1/10)x + 590

B) Rebate = $170

Step-by-step explanation:

A) We are told that p(x) is the demand function and x is the number of TV sets sold per week.

Now, since for each $21 rebate offered, the number of sets sold increases by 210 per week, it means that the slope here of this demand function is; m = -21/210 = -1/10

Now, he has been selling 1400 TV sets a week at $450 each. This means; p(1400) = $450

Thus, the demand function will be;

p(x) - 450 = (-1/10)(x - 1400)

Expanding the RHS;

p(x) - 450 = (-1/10)x + 140

Add 450 to both sides to get;

p(x) = (-1/10)x + 140 + 450

p(x) = (-1/10)x + 590

B) Formula for revenue is;

R = price × quantity sold

Our demand function is p = (-1/10)x + 590

Making x the subject, we have;

x = 5900 - 10p

x is quantity sold.

Thus,

R = p(5900 - 10p)

R = 5900p - 10p²

Maximum price will occur at dR/dP = 0

Thus;

dR/dP = 5900 - 20p

At dR/dP = 0,we have;

20p = 5900

p = 5900/20

p = $280

Thus, rebate = 450 - 280 = $170

6 0
2 years ago
Simplify expressions <br> 2a+3+a+4
Norma-Jean [14]
3a plus 7. you group the whole numbers together and than the a's. so 3+4 is 7. 2a + a is 3a.
4 0
3 years ago
Read 2 more answers
What is 5.37 as a mixed number.
Gnom [1K]
Answer: 5.37 as a mixed number is 5 37/100

To write a decimal number as a mixed number, you must separate the whole part of the decimal part:
5.37 = 5 + 0.37 = 5 0.37
And express the decimal part as a fraction:
0.37=37/100
Then:
Answer: 5.37 as a mixed number is 5 37/100
7 0
3 years ago
I need help asap!!! pleaseee
givi [52]
Answer: 625ft sq.

Explanation
Answer using A=bh (area=base x height)
Plug in information:
A=25x25
Solve:
A=625 ft sq.

6 0
3 years ago
The sum of three angles is inside of a triangle is 180 degrees true or false?
lana [24]
The answer would be true
4 0
3 years ago
Other questions:
  • P= (2,3) q= (9,7) find slope and reduce
    10·1 answer
  • $20,600 at 8% for 2 years
    15·1 answer
  • The table below lists the number of floors in the 10 tallest buildings in the world. Note: The buildings are organized by height
    8·2 answers
  • Multiply or divide 5x+10/x+2 * 2x/4x-10
    12·1 answer
  • 3x + 5y = 7<br> -3x - 2y = -1
    14·1 answer
  • If you had 5,3 and moved left 2 units and 1 unit down
    13·1 answer
  • Is 237405 divisible by 11 Correct Answer = Brainliest ​
    14·1 answer
  • If my girl say she wants 11 inches but i only have 2 how many more inches do i need
    14·2 answers
  • 2. A(n) _______________ system is a system of equations with an infinite number of solutions.
    10·1 answer
  • What is the distance between the coordinates (8,-5) and (8,13).
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!