Answer: C. 30/7
Step-by-step explanation: To make an improper fraction out of a mixed one we have to multiply the denominator by the whole number (in this case is 4) and then add the numerator. So 7 x 4 = 28 + 2 = 30, so 30/7 would be the correct answer choice.
Hope this helps!
Answer: The answer is F.
Step-by-step explanation:
1.) The first equation represents how the spiral notebook has 30 more pages than the the memo book, and how subtracting the memo book's pages would result with 30.
2.) The second equation represents how the total number of pages in 3 spiral notebooks plus 5 memo books would result in 810 total pages.
Answer: M - 21
Step-by-step explanation:
Since his daughter is 21 years younger than he is (M) all you have to do is take his age and subtract 21 (how many years older he is) to get her age.
At first this might seem difficult because you don't know what M is equal to but in the context of this question you don't need to know M.
If you're ever stuck just give an imaginary number to M such as 50.
If you take 50 and subtract 21 you get 29, this makes sense because his daughter is of course younger than him.
You can also use this tatic to solve problems like x+3=x/2 (or something like that) just to check and make sure that the two equations do equal each other.
:)
Answer:
75%
Step-by-step explanation:
3/12 =1/4
so 1/4 of 100% = 75%
Answer:
1. ∀ y ∈ Z such that ∃ x ∈ Z, ¬R (x + y)
2. ∃ x ∈ Z, ∀ y ∈ Z such that ¬R(x + y)
Step-by-step explanation:
If we negate a quantified statement, first we negate all the quantifiers in the statement from left to right, ( keeping the same order ) then we negative the statement,
Here, the given statement,
1. ∃y ∈Z such that ∀x ∈Z, R (x + y)
By the above definition,
Negation of this statement is ∀ y ∈ Z such that ∃ x ∈ Z, ¬R (x + y),
2. Similarly,
The negation of statement ∀x ∈Z, ∃y∈Z such that R(x + y),
∃ x ∈ Z, ∀ y ∈ Z such that ¬R(x + y)
