Answer:
D. 6 1/12
Step-by-step explanation:
First add the like fractions.
3 2/3 + 2/3 = 3 4/3 (Don't worry about simplifying yet)
Now find the least common multiple for 3 4/3 and 1 3/4 so we can add them.
<h2>
REMEMBER: You can only add and subtract fractions when they have the same denominator.</h2>
3: 3, 6, 9, 12
4: 4, 8, 12
In this case 12 is the least common multiple.
3/4 x 3/3 = 9/12 9/12
4/3 x 4/4 = 16/12
Add those two fractions then add the whole numbers and put it in front.
4 25/12
Simplify
6 1/12
Lynn mixes 39 pounds of water with 48 pounds of brick dust, so the mixture has a total weight of 39 + 48 = 87 pounds.
13 pounds are spilled during mixing, so she's left with 87 - 13 = 74 pounds to turn into bricks.
7 pounds are needed for 1 brick, so she can make 10 bricks because 7 • 10 = 70 and 7 • 11 = 77, and 70 < 74 < 77.
If she uses the mixture to make 10 bricks, she uses up 70 pounds of it, which leaves 4 pounds to be washed out.
Answer:
Step-by-step explanation:
f(x) = (x + 2)(x +6)
1) The function is positive for all real values of x where x > –4 :
COUNTER-EXAMPLE : x = - 3 you have -3>-4 but (-3+2)(-3+6) = -1 ×3 =-3 no positive .
2) The function is positive for all real values of x where
x < –6 or x > –3.
COUNTER-EXAMPLE : x = - 2.5 you have -2.5>-3 but (-2.5+2)(-2.5+6) = -0.5 ×3.5 =-1.75 no positive .
same method for the statement : "The function is negative for all real values of x where
x < –2."
conclusion : statement about the function is true: "The function is negative for all real values of x where
–6 < x < –2."
.
<span><u><em>First way:</em></u>
The easiest and simplest way is to <u>count by 1</u> starting from 82 till you reach 512.
<u>This will go as follows:</u>
82, 83, 84, 85, ........... , 510, 511, 512
<u><em>Second way:</em></u>
We can note that the two given numbers are even numbers. This means that the two numbers are divisible by 2.
Therefore, we can <u>count by 2</u> starting from 82 till we reach 512.
<u>This will go as follows:</u>
82, 84, 86, 88, ................... , 508, 510, 512
<u><em>Third way:</em></u>
We can note that the units digit in both numbers is the same (the digit is 2). This means that we can count from 82 till 512 by <u>adding 10 each time</u>.
<u>This will go as follows:</u>
82, 92, 102, 112, ......................, 492, 502, 512
Hope this helps :)</span>
