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kolezko [41]
1 year ago
9

Tony cut his birthday cake into 6 equal slices his sister ate 1 slice and he ate 3 slices how many slices were left

Mathematics
1 answer:
klio [65]1 year ago
4 0
Because he divided his cake into 6 equal pieces, we can represent the eaten and remaining amounts with fractions.

Remember that a fraction is the ratio of number of pieces over the total pieces.

So, we need to figure out how much cake needs to be subtracted.

We know his sister ate 1/6 of the cake and he ate 3/6 of the cake. We can add these fractions together because they have common denominators.

3/6+1/6=4/6

So, we need to subtract 4/6 from the whole:

6/6-4/6=2/6, so 2 slices out of the 6 remain.
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WILL MARK BRAINLIEST <br><br> what is the domain of (f/g) (x)?
tatyana61 [14]

Given that f(x) = \sqrt{7-x} and g(x) = \sqrt{x + 2}, we can say the following:

\Bigg(\dfrac{f}{g}\Bigg)(x) = \dfrac{f (x)}{g(x)} = \dfrac{\sqrt{7 - x}}{\sqrt{x+2}}


Now, remember what happens if we have a negative square root: it becomes an imaginary number. We don't want this, so we want to make sure whatever is under a square root is greater than 0 (given we are talking about real numbers only).


Thus, let's set what is under both square roots to be greater than 0:

\sqrt{7 - x} \Rightarrow 7 - x \geq 0 \Rightarrow x \leq 7

\sqrt{x + 2} \Rightarrow x + 2 \geq 0 \Rightarrow x \geq -2


Since both of the square roots are in the same function, we want to take the union of the domains of the individual square roots to find the domain of the overall function.

x \leq 7 \,\,\cup x \geq -2 = \boxed{-2 \leq x \leq 7}


Now, let's look back at the function entirely, which is:

\Bigg( \dfrac{f}{g} \Bigg)(x) = \dfrac{\sqrt{7 - x}}{\sqrt{x+2}}

Since \sqrt{x + 2} is on the bottom of the fraction, we must say that \sqrt{x + 2} \neq 0, since the denominator can't equal 0. Thus, we must exclude \sqrt{x + 2} = 0 \Rightarrow x + 2 = 0 \Rightarrow x = -2 from the domain.


Thus, our answer is Choice C, or \boxed{ \{ x | -2 < x \leq 7 \}}.


<em>If you are wondering why the choices begin with the x | symbol, it is because this is a way of representing that x lies within a particular set.</em>

6 0
3 years ago
Sally's pet grooming business charges $5 per cat and $10 per dog for a pet bath. She earned $550 for pet baths last month. If 20
Minchanka [31]

Answer:

45 dogs

Step-by-step explanation:

so she has $550 and she did 20 cats and it costs $5 per cat and 5 x 20 is $100 and $550 - $100 = 450 and 450 divided by 10 ( because it's $10 per dog) is 45.

8 0
3 years ago
Subtract 8.3 – 2.57 =
likoan [24]

Answer:

5.73

Best of luck

Step-by-step explanation:

4 0
3 years ago
​Justin completed 85% of a book when he read the first 170 pages. How many pages are in the book?
ICE Princess25 [194]
There are 200 pages
6 0
2 years ago
Read 2 more answers
I need to find the second one show me how to
Bess [88]

Answer:

First of all, the second one? it lloks like you got it correct

Step-by-step explanation:

8 0
3 years ago
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