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3 years ago

How many even positive integers less than 300 can be written using the number 2 4 5 and 8?

Mathematics

1 answer:

AfilCa [17]3 years ago

4 0

Answer:

Step-by-step explanation:

Let us first tackle 2-digit numbers.

They are 24, 25, 28, 42, 45, 48, 52, 54, 58, 82, 84, and 85. That makes 12 2-digit numbers.

Now for the 3-digit numbers:

245, 248, 254, 258, 284, and 285. That makes 6 3-digit numbers.

Therefore, there are 12 + 6 = 18 numbers under 300 that can be made using these numbers.

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Samantha has a shelf that is 95 over 4 inches wide. How many books can Samantha arrange on the shelf if each book is 5 over 4 in

love history [14]

Answer:

Option 1 - 19, because the number of books is 95 over 4 divided by 5 over 4

Step-by-step explanation:

Given : Samantha has a shelf that is 95 over 4 inches wide.

To find : How many books can Samantha arrange on the shelf if each book is 5 over 4 inches thick?

Solution :

The thickness of shelf = $\frac{95}{4}$ inches

Each book thickness = $\frac{5}{4}$ inches

Let the total number of books that could be arranged in the shelf be 'n'.

$\text{Number\ of\ books\ arranged}=\dfrac{\text{Thickness\ of\ shelf}}{\text{Thickness\ of\ one\ book}}$

Substitute the values,

$n=\dfrac{\dfrac{95}{4}}{\dfrac{5}{4}}$

$n=\dfrac{95\times 4}{5\times 4}$

$n=\dfrac{95}{5}$

$n=19$

Therefore, option 1 is correct.

19, because the number of books is 95 over 4 divided by 5 over 4

4 0

3 years ago

A tool set is on sale for $424.15.The original price of tthe tool set was $499.00. What percent of the original price is the sal

Jet001 [13]

Answer:

Step-by-step explanation:

The sale price is out of the original price so do 424.15 / 499.00 to find what it is out of in decimal form. Multiply your answer by 100 to find the percentage.

So:

424.15 / 499.00 =0.85

0.85 x 100 = 85

So the answer would 85%.

Hope this helps!

3 0

3 years ago

Write in simplest form 3m⋅4⋅n⋅n<br><br><br>

Sedbober [7]

Hello from MrBillDoesMath!

Answer:

12 m n^2

Discussion:

3m * 4 * n * n = => 3* 4 = 12

12 m * n * n => as n*n = n^2

12 m n^2

Thank you,

MrB

7 0

3 years ago

Read 2 more answers

Evaluate the expression. 12 +( 8 x ( 4 + 3) + 2) - 6

kondaur [170]

Answer:

56x + 8

Step-by-step explanation:

8 0

2 years ago

Read 2 more answers

Sin(20)=x/670 ????????

mash [69]

Answer:

229.2

Step-by-step explanation:

Remark

There's a lot in this question. The x is not just any x. It is defined and limited by its relationship with the sine function.

The Sin is defined as Opposite over Hypotenuse in a right triangle. The 670 is the Hypotenuse. You know that by the definition of Sine.

So one thing you should always keep in mind: the x because of where it is in the definition, will always be smaller than the Hypotenuse. So you should get a value less than 670.

Formula

Just as you have it

Sin(20) = x / 670

Solution

Multiply both sides by 570

670 * sin(20) = x

sin(20) = 0.3420

x = 670 * 0.3420

x = 229.2

6 0

3 years ago