I don’t know how much this will help as i don’t know the specific methods used in your lesson, but what i personally do is break down the number as much as i can.
32 can be simplified to 2^5. this is the fourth root, so you take out four of the 2’s to the outside by the 6. therefore it becomes 6(2) which = 12 along with the other 2 and an x left inside the fourth root “house”. btw i would write it out but brainly doesn’t let me attach pictures for some reason, and i don’t have the symbols on my keyboard. ):
we now simplify 512 in the second term. 512 is the same thing as 32 times 16, which is 2^9. we take out four of the 2’s, leaving us with 2^5. we can take four more 2’s out, leaving us with a 2 and an x in the inside of the fourth root “house”. on the outside we have 2 2’s, leaving us with a product of 4.
third term. 16 can be simplified to 4^2, or 2^4. we can take all four of them out since it’s the fourth root. there are also four x’s, so we take them out, leaving us with 2x. there isn’t anything left in the “house”.
now, we go from left to right. to better illustrate it, i will use “{ }” as the fourth root.
12 {2x} - 4 {2x} + 2x
8 {2x} + 2x . that’s as simplified as it can get. hopefully this helps! ):
Answer:
He can make 2 batches of lemonade with 1 pint of lemon juice.
Step-by-step explanation:
First convert 1 pint to ounces
1 pint of lemon juice = 16 fluid ounces
To get the number of batches that can be made with 1 pint (16 fluid ounces) of lemon juice, we can simply use proportion;
Let x be the number of batches Farid can make with 1 pint(16 fluid ounces) of lemon juice
8 fluid ounces = 1 batch
16 fluid ounces = x
cross-multiply
8x = 16
Divide both-side of the equation by 8
8x/8 = 16/8
x= 2 batches.
Therefore, he can make 2 batches of lemonade with 1 pint of lemon juice.
If the first gardener can finish the job in 6 hours, it means that every hour he completes 1/6 of the job.
By the same logic, the second gardener completes 1/7 of the job per hour.
So, if they work together, they complete
of the job per hour.
So, after 42/13 of a hour, they'll complete the job. Since one hour is made of 60 minutes, 42/13 of a hour is
So, it will take them about 194 minutes to finish the job, i.e. about 3 hours and 14 minutes.
The answer would be 7/72 when you simplify it
