To answer the question we need to know if 35 out of 50 states is equal or greater than 3/4 if that is the case, the Constitution will be ammended, and that is represented like this:
35/50 >= 3/4
that inequality is saying that 35 states out of 50 is equal or greater than 3/4, lets simplify and modify the fractions to compare easily:
<span>35/50 >= 3/4
</span>7/10 <span>>= 3/4
</span>now we need to find the least common multiplier of 10 and 4 to take the fractions to a common denominator and compare easy. Lets multiply numerator and denominator for a correct number to get the fractions to denominator common 20, the lcm:
7/10 <span>>= 3/4
</span>(2/2)(7/10) >= (5/5)(3/4)
2*7/2*10 >= 5*3/5*4
14/20 >= 15/20
we can see that the inequality does not hold, so,
<span>35/50 >= 3/4
</span>does not hold either, therefore the Constitution cannot be ammended
Answer:
Theoretically, about 208 times, but it doesn't work in practice
Answer:
a) 22 batches
c) 7.3 batches
Step-by-step explanation:
a) It takes 0.25 cup of sugar to make a batch of chocolate chip cookies. I have 5.50 cups of sugar. How many batches of cookies can I make?
0.25 cup = 1 batch
5.5 cup = x
Cross Multiply
0.25 cup × x = 5.5 cup × 1 batch
x = 5.5 cup × 1 batch/0.25 cup
x = 22
I can make 22 batches of chocolate chip cookies. You may use the scratchpad to show your work.
(b) Lemon Cookies It takes 0.75 cups of sugar to make a batch of lemon cookies. I have 5.5 cups of sugar. How many batches can I make?
0.75 cup = 1 batch
5.5 cup = x
Cross Multiply
0.75 cup × x = 5.5 cup × 1 batch
x = 5.5 cup × 1 batch/0.75 cup
x = 7.3 batches
I can make 7.3 batches of lemon cookies. You may use the scratchpad to show your work.
C - remember the vertical line test determines if something is a function. A function has 1 x value for 1 y value. A B and D have more than one y value for a given x value.
Answer:
He needs 92 on his last test.
Step-by-step explanation:
Mean score:
The mean is the sum of all scores divided by the number of tests.
In this question:
Scores of 85, 89, 85, 89 and x(the last one).
5 tests.
We want a mean of 88. So we find x for a mean of 88.
He needs 92 on his last test.
