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
Korolek [52]
3 years ago
10

A scooter is priced between $1,000 and $ 2,000. Its price is a multiple of 10. All of the digits in the price, except for the th

ousand digit , are even numbers. The value of the hundreds digit is 30 times the value of the tens digit.
Mathematics
1 answer:
snow_tiger [21]3 years ago
4 0

Let us first break down the question given the information stated.

The question tells us that all of the digits in the price, except for the thousand digit, are even numbers, and that the scooter is priced between $1, 000 and $2, 000.

Effectively, this means that:

a) it must cost more than $1, 000 but less than $2, 000

b) the second, third and fourth digits are even (0, 2, 4, 6 or 8)

We also know that the price is a multiple of 10, thus we can modify b) from above and say that:

b) the second and third digits are even (0, 2, 4, 6 or 8)

c) the fourth digit is 0 (since the price must be divisible by 10)

Furthermore, we are told that the value of the hundreds digit is 30 times the value of the tens digit.

Now, this is where we need to remember that the second (ie. hundreds) and third (ie. tens) digits must be even and multiples of 10. Thus, we must do a little trial and error to find two values that fit these constraints, with x representing the tens value and y representing the hundreds value. We will start with x = 20 (we cannot start with x = 0 since the price would then be $1, 000, and we cannot start with x = 10, since the digit in the tens place would be a 1, which is odd, not even):

(1) if x = 20: y = 30*20 = 600

6 is an even number, which fits the constraint of the problem.

Thus, the tens digit is 2 and the hundreds digit is 6.

Given this information and that which we defined at the very beginning, we can now see that the price of the scooter is $1, 620.

I hope this does help you, however if you have any further questions or feel that I may have misinterpreted something (I personally found 'The value of the hundreds digit is 30 times the value of the tens digit' to be a little poorly defined), please feel free to comment below :)

You might be interested in
What is the sum of 2/11, 7/11, and 1/11
Nookie1986 [14]

Answer:

10/11

Step-by-step explanation:

The fractions already have like denominators so you just add the numerators as there is no need to find the LCM but just in case

5 0
3 years ago
How do I solve this?
expeople1 [14]

Answer:

4.5

Step-by-step explanation:

The formula for solving area in parallelograms is base x height.

The base is 2.5 and the height is 1.8

2.5x1.8=4.5

4 0
3 years ago
If Mike can tune 4 cars in 3 hours. How many cars can Mike tune in 8 hours?
motikmotik

Answer:

10 2/3 cars

Step-by-step explanation:

We can use a ratio

4 cars            x cars

------------- = -----------

3 hours          8 hours

Using cross products

4 *8 = 3 *x

32 = 3x

Divide each side by 3

32/3 = 3x/3

10 2/3 cars

5 0
3 years ago
CAN SOMEONE PLEASE HELP
Inessa [10]

That Is The Correct answer ) 20

Hope I Helped

- Dante

5 0
4 years ago
Read 2 more answers
What shape has four equal sides and four right angles?<br> trapezoid<br> square<br> rectangle
aliina [53]
The answer is a square
5 0
3 years ago
Read 2 more answers
Other questions:
  • Find the ratio of 3 3/4 to 7 1/4
    9·1 answer
  • Simplify sec(arcsec 1/2). <br> A. undefined<br> B. -1/2<br> C. 1/2 <br> D. 2
    6·2 answers
  • Help ASAP please ...
    15·2 answers
  • I NEED HELP ASAP!! DUE BY 11:59 PM!!!!!!!!PLS ANSWER SOON!! PROBLEMS 27 AND 28
    11·1 answer
  • the ratio of males to females at a camp is 5 to 4. If there are 40 males at the camp, how many females are there?
    5·2 answers
  • A (5, 3), B (2, 1), and C (-2, 4) are the coordinates of a triangle's vertices. If the triangle is reflected over the x -axis, w
    13·1 answer
  • 12 &lt; k + 11<br><br><br> The solution of the inequality is <br><br> (pls answer fast)
    9·1 answer
  • I NEED ALL THE CORRECT ANSWERS QUICKLY
    10·1 answer
  • Simplify x+2x –8+3x+1 –2x.
    8·1 answer
  • Pls solve fast ! I’m begging you ! The lesson is operations on functions
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!