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
Shalnov [3]
3 years ago
8

John wants to send a letter to Peter, who lives on Tesla

Mathematics
1 answer:
blondinia [14]3 years ago
5 0

Answer:

The minimum number of letters John has to send to be sure that Peter receives his letter is 127 letters

Step-by-step explanation:

The four digit numbers that are multiples of 5 and 7 with the last digit = 0 is found as follows  

Since the last digit of the house number = 10, then the house number is divisible by 10 which also meets the condition that the house number is divisible by 5

We have the four digit numbers from 1000 to 9999

Hence the numbers divisible by both 7 and 10 are from (1000/70 (Which is 14 + 2/7) - 2/7)×70 + 70 = 1050 to (9999/70 (Which is 142 + 59/70)- 59/70)×70= 9940

Which gives 142 - 15 =  127 numbers which are four digit number multiples of 5 and 7 with the last digit = 0

Hence the minimum number of letters John has to send to be sure that Peter receives his letter = 127 letters.

You might be interested in
Solve the following compound inequality.<br><br> 5x+7&lt;=-3 or 3x-4&gt;=11
Kobotan [32]

Answer:

x\leq -2 or x\geq 5

Step-by-step explanation:

5x+7\leq -3          or    3x-4\geq 11\\

     

5x+7\leq -3\\5x\leq -10\\x\leq -2

3x-4\geq 11\\3x\geq 15\\ x\geq 5

4 0
3 years ago
11.1.30<br> How many three-digit even numbers are possible if the leftmost digit cannot be zero?
Ann [662]

The total number of 3 digit even numbers is 450

Step-by-step explanation:

Step 1 :

We need to determine the  number of 3 digit numbers which is even and the leftmost digit is not zero .

The  3 digits with left most digit not equal to zero starts from 100 and goes up to 998

If we consider only the even 3 digit numbers in this interval, this would form an arithmetic progression with the first number a = 100 and the common difference d = 2.

Step 2:

The last number l  in this series is 998 .

So we have

a = 100

l = 998

d = 2

The nth term in the arithmetic progression is given by a + (n-1) d

so substituting the above values we get

100 + (n-1) 2 = 998

2n = 900  => n = 450

Step 3 :

Answer :

The total number of 3 digit even numbers is 450

4 0
3 years ago
Under his cell phone plan, Owen pays a flat cost of $67.50 per month and $4 per gigabyte. He wants to keep his bill at $71.90 pe
Agata [3.3K]

Answer:

1.1 gigabytes

Step-by-step explanation:

Let us represent:

The number of gigabytes = g

Under his cell phone plan, Owen pays a flat cost of $67.50 per month and $4 per gigabyte. He wants to keep his bill at $71.90 per month.

The Equation is given as:

$71.90 = $67.50 + $4 × g

71.90 = 67.50 + 4g

71.90 - 67.50 = 4g

4.4 = 4g

x = 4.4/4

x = 1.1 gigabytes

Therefore, the number of gigabytes of data Owen can use while staying within his budget is 1.1 gigabytes

8 0
3 years ago
Read 2 more answers
The interval for which is non real is
scZoUnD [109]

Answer:

c

Step-by-step explanation:

it is non real if x²-36<0

x²<36

|x|<6

so -6<x<6

7 0
3 years ago
How do find a number out of a percent
Nana76 [90]
You only have the % and you need the number. For example i got a 87% on my Math test what is that as a decimal? The answer is 0.87 because you move the decimal ahead 2 numbers.
7 0
3 years ago
Read 2 more answers
Other questions:
  • Find X.............​
    10·1 answer
  • A family has a $150,000, 30-year mortgage at 6.1% com-pounded monthly.
    5·1 answer
  • Help 30 Points! Show ALL Work! Image Attached.
    14·1 answer
  • -20 , -16 , -12 , -8 ....
    11·1 answer
  • Find the length of a triangular prism with a volume of 660 cubic cm, a base of 10 cm and a height of 12 cm.
    8·1 answer
  • A square has a side length of 4\19x - 9 units. what is its perimeter in terms of x?
    7·2 answers
  • Which is the best description of triangles ABC and DEF?
    14·2 answers
  • Order the following from least to greatest. 0.208, 0.0769, 0.546, 0.317, 0.00998​
    13·1 answer
  • A quilt measures 4 ⅔ feet by 6 feet. What is the area of the quilt?
    7·1 answer
  • This one too please help
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!