All categories

4 years ago

Find how many two digit numbers are divisible by 3

Mathematics

1 answer:

Bad White [126]4 years ago

7 0

I'll use arithmetic series to find it.

First two-digit number divisible by 3 is 12, last such number is 99. Every 3rd number is divisible by 3.

So,

$a_1=12\\a_n=99\\d=3\\n=?\\\\a_n=a_1+(n-1)\cdot d\\99=12+(n-1)\cdot 3\\3n-3=87\\3n=90\\n=30$

There are 30 such numbers.

You might be interested in

4. The length of your rectangular vegetable garden

OleMash [197]

The area of a garden is the amount of space the garden occupies

The area of the garden is (c) 375 ft^2

The given parameters are:

$L = 15 \times W$ --- Length equals 15 times width

$Perimeter=160$

The perimeter of a rectangle is:

$Perimeter= 2(L + W)$

Substitute known values

$160= 2(15 \times W + W)$

Divide through by 2

$80= 15 \times W + W$

$80= 15W + W$

$80= 16W$

Divide through by 16

$5= W$

Rewrite as:

$W =5$

The area of a rectangle is:

$Area = L \times W$

Substitute $L = 15 \times W$

$Area = 15 \times W \times W$

Substitute $W =5$

$Area = 15 \times 5 \times 5$

$Area = 375$

Hence, the area of the garden is (c) 375 ft^2

Read more about areas at:

brainly.com/question/2077866

6 0

2 years ago

PLEASE HELP! DUE VERY SOON

dedylja [7]

If I’m correct, it should be the first option, just to be sure, does n represent the number of years?

4 0

3 years ago

Solve the equation for x by graphing.

Aliun [14]

Answer:

I got x= 2.25

Step-by-step explanation:

7 0

4 years ago

Read 2 more answers

Bailey draws a circle on a large piece of paper. Then she cuts out the circle, cuts along the radius of the circle, and tapes th

Andre45 [30]

Answer:

The required equation shows the formula solved for h is $h=\frac{3V}{\pi r^2}$

Step-by-step explanation:

Consider the provided information.

The formula of volume of cone is: $V=\frac{1}{3}\pi r^2h$

Where V, is the volume of the cone with radius, r, and height, h.

Bailey knows the volume and radius of her cone, and she wants to determine the height.

In order to find the height of the cone Bailey need to solve the equation for h.

$V=\frac{1}{3}\pi r^2h$

Multiply both the sides by 3.

$3V=\pi r^2h$

Divide both the sides by πr².

$\frac{3V}{\pi r^2}=h$

$h=\frac{3V}{\pi r^2}$

Hence, the required equation shows the formula solved for h is $h=\frac{3V}{\pi r^2}$

3 0

4 years ago

What equations can you use to get the number 12

Vsevolod [243]

6x6, 4x3, 8+4x 9+3, 24/2

8 0

3 years ago