Answer:
Your friend scored 62
Step-by-step explanation:
Let your friend's score = x
140/100 * x = 86.8 Starting statement
1.4x = 86.8 % has been changed to a decimal
1.4x = 86.8/1.4 Divide by 1.4
x = 86.8/1.4
x = 62 Answer
Answer: B. 9/25
Work Shown:
x% = x/100
36% = 36/100
36% = (9*4)/(25*4)
36% = 9/25
Using your calculator, you should find that 9/25 = 0.36 which converts to 36%, so that helps confirm the answer.
Answer:
<u>First question answer:</u> The limit is 69
<u>Second question answer:</u> The limit is 5
Step-by-step explanation:
For the first limit, plug in
in the expression
, that's the answer for linear equations and limits.
So we have:

The answer is 69
For the second limit, if we do same thing as the first, we will get division by 0. Also indeterminate form, 0 divided by 0. Thus we would think that the limit does not exist. But if we do some algebra, we can easily simplify it and thus plug in the value
into the simplified expression to get the correct answer. Shown below:

<em>Now putting 1 in
gives us the limit:</em>

So the answer is 5
Answer:
We have expanded formula of (-4x-1)² = a²+2ab+b².
So, we write the formula in square form as (a+b)².
Since we have a²-b² in step 4. We further write this as (a+b)(a-b). This is the factor formula of a²-b².
As we had two terms in place of in (a+b)(a-b), we multiply the term 'b' with '+' and '-' sign respectively.
Write the second expression given in the question.
Write the terms in the form of cube.
Write the factor formula of a³-b³) in the form of (a-b)(a²+ab+b²).
Write the H.C.F. (Highest Common Factor) of the given expressions by analysing the factors you generated in each expressions. Here, (4x²+2x+1) are the common factors.
D 2:1, because a dime is worth twice as much as a nickel
Because the question has number of nickels listed first in the ratio that makes the answer 2:1 as opposed to B 1:2. Also, two nickels equal the same amount as one dime so for every two nickels there is one dime. In this case, there are 728 nickels and 364 dimes. 728/364 = 2/1 (simplifies down to the fourth ratio given)