The LCM (least common denominator) of 3, 4, 6 and 8 is...
24
Answer:
3.78
Step-by-step explanation:
Percentage solution with steps:
Step 1: We make the assumption that 9 is 100% since it is our output value.
Step 2: We next represent the value we seek with $x$.
Step 3: From step 1, it follows that $100\%=9$.
Step 4: In the same vein, $x\%=42$.
Step 5: This gives us a pair of simple equations:
$100\%=9(1)$.
$x\%=42(2)$.
Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS
(left hand side) of both equations have the same unit (%); we have
$\frac{100\%}{x\%}=\frac{9}{42}$
Step 7: Taking the inverse (or reciprocal) of both sides yields
$\frac{x\%}{100\%}=\frac{42}{9}$
$\Rightarrow x=466.67\%$
Therefore, $42$ is $466.67\%$ of $9$.
Answer:
E. 300
Step-by-step explanation:
A rectangle split in half diagonally yields 2 right triangles.
((For this problem, you are probably supposed to use the pythagorean theorem to find the diagonal length, and then calculate perimeter (length of fence around triangular field). In other words:
(sqrt( (50m)^2 + (120m)^2 )) + 50m + 120m)
))
By definition, the hypotenuse (diagonal) is the longest side.
This means that it must be longer than 120m.
If you add the 2 sides (50m + 120m), you get 170m.
Since the third side has to be longer than 120m, the answer _must_ be over 290m (170m + 120m).
300m is the only answer that fits.
<span>-6f+13=2f-11
-6f - 2f = -11 - 13
-8f = -24
f = 3</span>
Answer:
Each person will get 2.7 ounces of potato salad.
Step-by-step explanation:
We are given that;
Total ounces of potato salad Greg made = 27 ounces
Number of persons to be served = 10 people
Now, we are told that each serving is the same size, thus it means each person will receive same size of potato salad.
Thus,
the amount received by each person = Total ounces of potato salad Greg made/total number of persons to be served.
So,
the amount received by each peron
= 27/10
= 2.7 ounces
Thus,
Each person will get 2.7 ounces of potato salad.
