When you divide a fraction by a fraction, you're really just multiplying by a reciprocal. A reciprocal is the fraction flipped around.
So, 1/8 <span>÷ 1/4 is the same thing as 1/8 x 4/1
Now, you just multiply. 1 times 4 is 4. 8 times 1 is 8.
1/8 x 4/1=4/8
4/8 simplified is 1/2
So that is how 1/8</span><span>÷1/4=1/2</span>
Let's represent the two numbers by x and y. Then xy=60. The smaller number here is x=y-7.
Then (y-7)y=60, or y^2 - 7y - 60 = 0. Use the quadratic formula to (1) determine whether y has real values and (2) to determine those values if they are real:
discriminant = b^2 - 4ac; here the discriminant is (-7)^2 - 4(1)(-60) = 191. Because the discriminant is positive, this equation has two real, unequal roots, which are
-(-7) + sqrt(191)
y = -------------------------
-2(1)
and
-(-7) - sqrt(191)
y = ------------------------- = 3.41 (approximately)
-2(1)
Unfortunately, this doesn't make sense, since the LCM of two numbers is generally an integer.
Try thinking this way: If the LCM is 60, then xy = 60. What would happen if x=5 and y=12? Is xy = 60? Yes. Is 5 seven less than 12? Yes.
Answer:
4 batches
Step-by-step explanation:
Total syrup made by Tamita = 18.5 ounces
Amount of ounces per batch = 4 ounces
If 1 batch = 4 ounces
x batches = 18.5 ounces
Cross multiply
4 * x = 18.5
x = 18.5/4
x = 4.625
Hence she can only make 4 batches of syrup
Answer:
The shortcuts is
Divide number of units by 100
Step-by-step explanation:
From the question we are told that
insulin u-100 is 
From the data given above we see that
100 units of insulin u-100 is contained in 1 mL
So 1 unit of u-100 is contained in x mL
=> 
This means that a unit of insulin u-100 occupies
So we can represent a single unit of insulin u-100 as 
Now if 1 unit of insulin u-100 is represented as
Then y unites of insulin u-100 is represented as z
So
From the above calculation we can see that the shortcuts to convert u-100 insulin given in units, to mL is to divide number of units by 100
