Answer:
The answer is "She cut a total of 42 pieces of pie".
Step-by-step explanation:
Given :
Total pie= 
cut pie = 
The number of pieces of the pie she has=?
Solve the mixed fraction value:
If she cuts the pieces into the entire pie, that is =
So, the equation is:
Answer:
2 x plus 3 y equals 26. X plus 4 y equals 18
Step-by-step explanation:
Number of tiles, = x
Number of pints of paint, = y
Store 1:
Cost per tile = $2 ; cost per pint = $3 ; total cost = $26
Store 2 :
Cost per tile = $1 ; cost per pint = $4 ; total cost = $18
System of equation:
2x + 3y = 26 - - - (1)
x + 4y = 18 - - - - - (2)
She initially had 17 dollars.
Answer:
Miguel start to swim when Ario has traveled 4.4 m.
Step-by-step explanation:
The total lenght of the pool is 25.
Since both of them standing 3 m from one side of the pool, then, the total distance both need to cover is 
m= 22 m.
Assume that the distance traveled by Ario before Miguel start to swin is 
. That means, the remaining distance to Ario (to cover the total size of the pool) is 
.
Then, in acoordance to the problem, the ratio between these two distances must be equal to 1/4.
That is,
.
So, we need to obtain from this equation. We must note that 
, otherwise we have a zero in the denominator.
So, we rearrange the equation,
(Multiplying both sides of equation by (
).
Then, 
.
Therefore, 
m.
Answer:
See below
Step-by-step explanation:
Remember, we have two quantifiers, the existential quantifier ∃, and the universal quantifier ∀. The existential ∃ translates to English as "for some" or "there exists", whereas ∀ means "for all" or "every". We will also use the negation operator ¬.
First, let's write the proposition using quantifiers. "There is someone in this class who does not have a good attitude" translates to "(∃x)(¬S(x))". ∃x means that there exists a person in this class x. ¬S(x) means that x, the person that exists because of the quantifier, does not have a good attitude.
The negation is "¬(∃x)(¬S(x))" or equivalently "(∀x)(S(x))". To negate a proposition using quantifiers, change the quantifier (existential to universal and viceversa) and negate the predicate (in this case we negated ¬S(x)).
In English, "(∀x)(S(x))" means "Every person in this class has a good attitude".
