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3 years ago

How many four-digit positive integers are multiples of 3?

Mathematics

1 answer:

Musya8 [376]3 years ago

7 0

Answer:

3000

Step-by-step explanation:

There are 9000 positive 4-digit numbers (all between 1000 and 9999, inclusive). 1/3 of those are multiples of 3, so there are ...

3000 four-digit multiples of 3

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Solve the following expression and state the operation used in each step. Show all of your work 5+9-3^2+2

Pepsi [2]

Answer: 7

5+9-3^2+2
= 14-3^2+2
= 14-9+2
= 5+2
= 7

8 0

3 years ago

The 3 sides of a triangle have lengths of (4x+3) cm, (2x+8) cm, and (3x-10) cm. What is the length of the shortest side if the p

galina1969 [7]

Answer:

The shortest sides is 3x-10

Step-by-step explanation:

This is because if you do the algebra which is 4x+3+2x+8+3x-10=136, x=15. Now that you have 15 you plug it into each sides x value. First, 4x+3= 4*15+3=63

Second, 2x+8=30+8=38

Lastly, 3x-10=45-10=35

So, as you can see here 35 is the lowest value which means the side (3x-10) is the shortest.

3 0

3 years ago

If y varies directly as x and y = 36 when x = 4,what is the value of y when x=6?

zepelin [54]

Answer:

Step-by-step explanation:

If the two numbers vary directly, we can use a proportion to find the missing value.

36/4 = y/6

4y = 216

Divide by 4

y = 54

Check

36/4 = 54/6

216 = 216 ✅

8 0

2 years ago

Sam invests $6000 in two different accounts. The first account paid 12 %, the second account paid 7 % in interest. At the end of

Lunna [17]

Answer:

The amount in the account at 12% interest is $3400 and the amount in the second account at 7% interest is $2600

Step-by-step explanation:

Let x be the amount in the account at 12% interest

So, 6000-x is the amount in the second account at 7% interest

$SI = \frac{P \times T \times R}{100}$

First account: $SI=\frac{x \times 1 \times 12}{100}$

Second account : $SI =\frac{(6000-x) \times 1 \times 7}{100}$

We are given that At the end of the first year he had earned $590 in interest.

So, $\frac{x \times 1 \times 12}{100}+\frac{(6000-x) \times 1 \times 7}{100}=590\\x=3400$

So,the amount in the account at 12% interest is $3400

The amount in the second account at 7% interest =6000-x=6000-3400=2600

Hence the amount in the account at 12% interest is $3400 and the amount in the second account at 7% interest is $2600

8 0

3 years ago

1. Use a property of exponents to write (3b)⁵ as a product of powers. 2. What is the width of the rectangle written as an expone

motikmotik

Answer:

Step-by-step explanation:

1. (3b)^5

= (3b)^2 * (3b)^3.

2. Width = area / length

= 10^4 / 10^3

= 10^(4-3)

= 10 m.

8 0

3 years ago