MATHEMATICS COLLEGE

What is the largest 4- digit number that is divisible by 3, 6, and 9? Explain how you know.

Answers

Answer 1

Answer:

Answer: 9990

========================================================

Explanation:

Start with the largest four digit number possible (9999) and see if it's divisible by 3, 6 and 9

9999/3 = 3333
9999/6 = 1666.5
9999/9 = 1111

When dividing the number over 6, we don't get a whole number. So 6 is not a factor of 9999, and we cross 9999 off the list.

------------------------

Decrease the number by 9. We do this because the result will be another multiple of 9 (which is automatically also a multiple of 3 as well, since 9 = 3*3)

So we go from 9999 to 9990

Repeat the last set of steps we did earlier

9990/3 = 3330
9990/6 = 1665
9990/9 = 1110

Every result is a whole number, which shows that 9990 is a multiple of 3, 6 and 9. In other words, 9990 is divisible by 3, 6 and 9. It's the largest such 4 digit number.

Related Questions

To graph the function g(x) = (x – 5)2 – 9, shift the graph of f(x) = x2 5 units and 9 units.
3 days after the start of an experiment there were 484 bacteria in a culture. After 5 days there were 1135. Use a system of equations to determine the initial number of bacteria in the culture (c) and the k value for the growth
Over the last 3 months, you deposited $600 each month into your business checking account. During that time, youwithdrew $1,208.23 to make purchases. What is the net change in your account balance?O -$3.008.23O $608.23$591.77O $1,808.23$3.008.23IntroDone
WHICH PROPERTY JUSTIFIES STEP 2 PLS HELP !!!! ILL MARK BRAINLIST
−5y=−5 THANKS 7x+6y=7 Is (5,1) a solution of the system?

Can you help me please

Answers

Answer:

Sin A = 22/33.3 ≈ 0.7

Step-by-step explanation:

Sin A = opp/hyp

Opp = 22

Adj = 25

Apply pythagorean theorem to find the hypotenuse length.

Thus:

Hyp = √(25² + 22²) ≈ 33.3

Therefore,

Sin A = 22/33.3 ≈ 0.7 (nearest tenth)

WILL GIVE BRANLIEST!!!! URGENT!!!HELP!!!!! . Find x. A) 3.36 B) 3.3 C) 35.98 D) 38.43

Answers

Answer:

C) 35.98

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

tan theta = opp /adj

tan 17 = 11/x

x tan 17 = 11

x = 11/ tan 17

x =35.9793788

Answer:

Tjhe final answer I came apon was 35.98 for this problem.

"C) 35.98"

Here why :

First of all it is an

right triangle,

so we can use trigonometry. functions

oppration : tan theta = opp /adj

Step 1 tan 17 = 11/x

Step 2 x tan 17 = 11

Step 3 x = 11/ tan 17

Step 4 x =35.98 (when roundened)

Hope this helps

Two out of every five people who buy ice cream buys vanilla ice cream. If a store sells 65ice cream cones in one day, about how many will be vanilla?

Answers

26 cause 2/5 equals 40% and 40% of 65 is 26

The length of a rectangle is 5ft longer than twice the width if the perimeter is 58 ft find the length and width of the rectangle

Answers

----------------------------------
Define x :
----------------------------------
Let the width be x.
Width = x
Length = 2x + 5 // Length is 5ft longer than twice the width

----------------------------------
Formula for Perimeter :
----------------------------------
Perimeter = 2 (Length + Width)

----------------------------------
Find Width :
----------------------------------
58 = 2 ( 2x + 5 + x) // Substitute Length and Width into formula
58 = 2 (3x + 5) // Combine like terms
58 = 6x + 10 // Apply distributive property
48 = 6x // Take away 10 from both sides
6x = 48 // Switch sides. Make x the subject
x = 8 // Divide by 6 on both sides

----------------------------------
Find Length and Width :
----------------------------------
Width = x = 8 ft
Length = 2x + 5 = 2(8) + 5 = 21 ft

--------------------------------------------------------------------
Answer: The length is 21 ft and the width is 8 ft.
--------------------------------------------------------------------

Length= 5+2x
Width = x

Perimeter = 2(l+w)=58
= 2(5+2x+x)=58
= 2(5+3x)=58
= 10+6x =58
= 6x= 48
X= 8
Width=8
Length= 21

The graph shows the distance, y, that a car traveled in x hours: A graph is shown with the x-axis title as Time in hours. The title on the y-axis is Distance Traveled in miles. The values on the x-axis are from 0 to 5 in increments of 1 for each grid line. The values on the y-axis are from 0 to 325 in increments of 65 for each grid line. A line is shown connecting ordered pairs 1, 65 and 2, 130 and 3, 195 and 4, 260. The title of the graph is Rate of Travel. What is the rate of change for the relationship represented in the graph? (1 point) fraction 1 over 65 fraction 1 over 64 64 65