Ask question

Ask question

All categories

3 years ago

14

How many 4-digit numbers are neither multiples of 2 nor multiples of 5?

1 answer:

Gwar [14]3 years ago

4 0

There are 10,000 total four-digit numbers (1000 through 9999).

Multiples of 2 end in 0, 2, 4, 6, and 8. There are 9*10*10*5 = 4500 four-digit multiples of 2.

Multiples of 5 end in 0 or 5. There are 9*10*10*2 = 1800 four-digit multiples of 5.

There is redundancy between the two sets of numbers, namely those that end in 0, which are both multiples of 2 and 5. There are 9*10*10*1 = 900 four-digit multiples of both 2 and 5.

Then there are 4500 + 1800 - 900 = 5400 total four-digit numbers that are either multiples of 2 or 5, which means the remaining 4600 numbers are neither multiples of 2 nor 5.

You might be interested in

A rectangular piece of metal is 30 in longer than it is wide. Squares with sides 6 in long are cut from the four corners and the

Alexandra [31]

Answer:

length=53 in

width= 23 in

Step-by-step explanation:

First, we know that each corner has now a square of 6 in long, so the heigth of the box will be of this size (as you can see in the picture attached). Then, the length and the width of the box would be the same as the piece, but with 12 in less. Therefore the equations to solve the problem are:

$h=6 in\\w=x-12\\l=x+30-12\\l=x+18\\\\V: volume of the box\\V=6*(x-12)*(x+18)\\2706=6x^{2}+36x-1296\\0=6x^{2}+36x-4002\\\\$

We factorize the 6 and we get:

$0=x^{2}+6x-667\\$

Finally we solve for x, and we get the initial dimensions of the piece of metal:

$x=23$ $l=30+x=30+23=53 in\\w=x= 23 in$

7 0

3 years ago

Hello, I'm new! I need help

melamori03 [73]

The interest in the first month is given as $ 97.1. The principal balance in the second question is $15,030.02

<h3>How to solve for the interest in the first month</h3>

1. We have to solve for the cost of the car

This would be = 19,725*(1.0475)

= 20,661.9375

There is a Down payment = 2,175

balance would be 20661.9375-2,175 = 18,486.94

average rating interest of new car = 6.30%

So the interest accrued in first month = 18,486.94x0.063/12 = $ 97.1

2. cost = 15867

sales tax = 5.25%

10 percent down payment

5.25/100 = 0.0525

cost of car = 15867 + (15867 * 0.0525)

= 16700 dollars

10% of 16700 dollars

= 1670 dollars

principal balance = 16700 - 1670

= $15,030.02

Read more on interest rate here

brainly.com/question/25793394

7 0

2 years ago

Need help thanks I'll mark brainliest

sukhopar [10]

Answer:

m∠ACD = 40°

Step-by-step explanation:

(4x + 2) + (6x - 12) = 8x,

10x - 10 = 8x,

2x = 10,

x = 5

8(5) = 40°

8 0

3 years ago

What is the image of (9,3) after a dilation by a scale factor of 3 centered at the<br> origin?

sergiy2304 [10]

Answer: (27, 9)

Multiply the original coordinates by the scale factor 3 to get this answer

9*3 = 27

3*3 = 9

This only works if the center of dilation is the origin.

The general rule is $(x,y) \to (kx, ky)$ where k is the scale factor.

7 0

3 years ago

2. Help ASAP!!!!!!!!!!!!!!!!

ch4aika [34]

ANSWER

$2 \times 2$

EXPLANATION

The dimensions of a matrix is of the form:

$Row \times Column$

The dimensions of the first matrix is

$2 \times 3$

The dimensions of the second matrix is

$3 \times 2$

Since the inner products are the same,the outer products give the dimensions of the product of the two matrices.

$(2 \times 3)(3 \times 2) = 2 \times 2$

Therefore the dimensions of the product is a 2×2 matrix.

8 0

3 years ago

Read 2 more answers