Mathematics, 18.04.2020 20:50 kana13

How many 5-digit numbers are there that are divisible by either 45 or 60 but are not divisible by 90?

Answers: 2

Show answers

Answers

Answer from: nashville9678

2500 numbers

Step-by-step explanation:

Problem;

Solving for the number of 5-digit numbers divisible either by 45 or 60 but not divisible by 90;

Let us approach this in a step wise manner;

5 -digits numbers ranges from 10,000 to 99,999

To solve this problem, let us find the number of digits that are divisible by 45;

the first number divisible by 45 within this range is 10035

the last number divisible by 45 in this range is 99990

increment is 45

The total number in this range is:

$\frac{last number - first number}{increment}$ + 1 = $\frac{99990 - 10035}{45}$ + 1

= 2000 numbers

To solve this problem, let us find the number of digits that are divisible by 60;

the first number divisible by 60 within this range is 10020

the last number divisible by in this range is 99960

increment is 60

$\frac{99990 - 10080 }{90}$

The total number in this range is:

$\frac{last number - first number}{increment}$ + 1 = $\frac{99960 - 10020}{60}$ + 1

= 1500 numbers

To solve this problem, let us find the number of digits that are divisible by 90;

the first number divisible by 90 within this range is 10080

the last number divisible by in this range is 99990

increment is 90

The total number in this range is:

$\frac{last number - first number}{increment}$ + 1 = $\frac{99990 - 10080}{90}$ + 1

= 1000 numbers

Now solution:

Number of 5 digits = number of 45 + number of 60 - number of 90

= 2000 + 1500 - 1000

= 2500 numbers

Answer from: Quest

You would need a laid out graph for this but could you provide a picture of just a graph? i can give stepssolve for y.subtract 4xdivide by -1 (opposites)graph slope intercept formcheck each point to see if it’s on the graph

Answer from: Quest

c is the answer

step-by-step explanation:

Another question on Mathematics

Mathematics, 21.06.2019 16:40

The graph of which equation includes the points (0, 10) and (10, 11)? y = 10x + 11 y = x + 10 y= 1/10x + 10 y = 1/10x + 11

Answers: 1

Answer

Mathematics, 21.06.2019 17:50

The length and width of a rectangle are consecutive even integers the area of the rectangle is 120 squares units what are the length and width of the rectangle

Answers: 1

Answer

Mathematics, 22.06.2019 02:00

15 oranges weigh 3.75 kilograms (kg). if each orange weighs approximately the same, approximately how much does each orange weigh?

Answers: 2

Answer

Mathematics, 22.06.2019 02:30

Researchers are conducting experiments to determine the role of alcohol in the development of depression. after the study is complete, they determine that the relative risk of developing depression is 1.55 with a 95 % ci of 1.2 -1.9. each group is then divided into nonsmokers and smokers. the relative risk for the nonsmokers is 1.12 with a 95% ci of 0.87-1.37. the relative risk for the smokers is 1.7 with a 95 % cl of 1.5-1.9. what type of bias may affect this study? a. procedure bias b. recall bias c. selection bias d. confounding e. lead-time bias