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3 years ago

Mr. Adams mailed two packages. 2 1/4 pounds and the other 6 2/3 pounds . what was the total weight of the two packages.

1 answer:

4 0

To find the total weight of the two packages, we must find the sum of the two individual packages. To do this, we need to convert the mixed number weights into improper fractions, by multiplying the unit value (whole number) by the denominator and then adding the numerator.

6 2/3 = 6(3) + 2 = 18 + 2 = 20/3

2 1/4 = 2(4) + 1 + 8 + 1 = 9/4

Now, our expression appears as follows

20/3 + 9/4

To be able to add these improper fractions, we must find a common denominator. In this example, we are going to use 12 as the common denominator, because it is the least common multiple of 3 and 4. To make this denominator, we are going to multiply by fractions that are equivalent to 1 (changing the numerator and denominator by the same factor doesn't change the value of the fraction overall).

9/4 * 3/3 = 27/12

20/3 * 4/4 = 80/12

Now, our expression is:

27/12 + 80/12 =

107/12

Therefore, your answer is 107/12, or 8 11/12.

Hope this helps!

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Question : A square game board is divided into smaller squares, each with sides one-ninth the length of the sides of the board.

bagirrra123 [75]

Answer:

Therefore the game board is divided into 81 smaller squares.

Step-by-step explanation:

Given that, there is a square game.

Consider x be length of one side the square.

The volume of the square is = side ×side

=x² square units

Since the length of side of smaller square is one-ninth of the game board.

Then one side length of the smaller square is $\frac19x$ units.

The area of a smaller square is $=(\frac19x)\times (\frac19x)$

$=\frac{1}{81}x^2$

Let a number of square is formed from the game board.

a ×The area of one smaller square= The area of game board.

According to the problem,

$a\times (\frac{1}{81}x^2)=x^2$

$\Rightarrow a =\frac{x^2\times 81}{x^2}$

$\Rightarrow a= 81$

Therefore the game board is divided into 81 smaller squares.

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3 years ago

Help i am in need of help fast pls

lutik1710 [3]

The order is C,A,B for this problem

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4 years ago

Question in the image

dalvyx [7]

The exact surface area is 150.8 and the exact volume is 141.37.

To answer this I used the formula for surface are for a right cylinder which is. 2•3.14•r•h+2•3.14•r^2 (^2 means to the power of 2) r=radius and h=height. When you replace the r’s and the h’s with the radius and height it’ll look like this. 2•3.14•3•5+2•3.14•3^2. For the power of 2 (^2) we basically just do 3•3. But when you put that into a calculator it gives you 150.8.

To find the volume use the formula 3.14•r^2•h when you replace the r’s and the h’s with the height and the radius it’ll look like this. 3.14•3^2•5. When put into the calculator it gives you 141.37.

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3 years ago

What is the range of the function y=3 Sqrt x+8

ValentinkaMS [17]

Answer:

$(-\infty,+\infty)$