Remove parentheses.
-3/8 -1/6
Find the Least Common Denominator (LCD) of 3/8, 1/6. In other words, find the Least Common Multiple (LCM) of 8,6.
LCD=24
Make the denominators the same as the LCD.
- 3x3/8x3 - 1x4/6x4
Simplify. Denominators are now the same
-9/24 - 4/24
Join the denominators
-9-4/24
Simplify
-13/24
Answer:
24 in long by 12 in wide.
Step-by-step explanation:
l=2w
288=(2w)×w
288=2w^2
144=w^2
12=w
width is 12 inches. Plug that in to find length...
l=2×12
l=24
Answer:
any value less than 10
Step-by-step explanation:
Let x represent the number.
1.5x < |20 -5|
1.5x < 15 . . . . simplify
x < 10 . . . . . . divide by 1.5
The number may be any value less than 10.
There 7 blocks of hundreds which means each such block is equivalent to 100.
There are 5 blocks of tens, which means each such block is equivalent to 10.
There are 8 blocks of ones, which means each such block is equivalent to 1.
The total of these blocks will be = 7(100) + 5(10) + 8(10) = 758
We can make several two 3-digit numbers from these blocks. An example is listed below:
Example:
Using 3 hundred block, 2 tens blocks and 4 ones block to make one number and remaining blocks to make the other number. The remaining blocks will be 4 hundred blocks, 3 tens blocks and 4 ones blocks
The two numbers we will make in this case are:
1st number = 3(100) + 2(10) + 4(1) = 324
2nd number = 4(100) + 3(10) + 4(1) = 434
The sum of these two numbers is = 324 + 434 = 758
i.e. equal to the original sum of all blocks.
This way changing the number of blocks in each place value, different 3 digit numbers can be generated.
Answer:
the quotient has a remainder of 4
Step-by-step explanation:
The computation of the long division is shown below:
1 3 1 9
--------------------------------
26 34298
26
-------------------------------------(deduct)
82
78
--------------------------------------(deduct)
49
26
------------------------------(deduct)
238
234
--------------------------
4
hence, the first option is correct