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almond37 [142]
3 years ago
10

Henry bought a magazine for $5 and two vitamin waters. Henry spent a total of $11. How much did each vitamin water cost? $

Mathematics
2 answers:
saveliy_v [14]3 years ago
5 0
5+x=11
-5    -5
----------
x=6
vodka [1.7K]3 years ago
5 0
The Vitamin Water cost 3.00$ each
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5 0
3 years ago
If r and s are positive integers, is \small \frac{r}{s} an integer? (1) Every factor of s is also a factor of r. (2) Every prime
Yuri [45]

Answer:

<em>If statement(1) holds true, it is correct that </em>\small \frac{r}{s}<em> is an integer.</em>

<em>If statement(2) holds true, it is not necessarily correct that </em>\small \frac{r}{s}<em> is an integer.</em>

<em></em>

Step-by-step explanation:

Given two positive integers r and s.

To check whether \small \frac{r}{s} is an integer:

Condition (1):

Every factor of s is also a factor of r.

r \geq s

Let us consider an example:

s = 5^2 \cdot 2\\r = 5^3 \cdot 2^2

\dfrac{r}{s} = \dfrac{5^3\cdot2^2}{5^2\cdot2} = 10

which is an integer.

Actually, in this situation s is a factor of r.

Condition 2:

Every prime factor of <em>s</em> is also a prime factor of <em>r</em>.

(But the powers of prime factors need not be equal as we are not given the conditions related to powers of prime factors.)

Let

r = 2^2\cdot 5\\s =2^4\cdot 5

\dfrac{r}{s} = \dfrac{2^3\cdot5}{2^4\cdot5} = \dfrac{1}{2}

which is not an integer.

So, the answer is:

<em>If statement(1) holds true, it is correct that </em>\small \frac{r}{s}<em> is an integer.</em>

<em>If statement(2) holds true, it is not necessarily correct that </em>\small \frac{r}{s}<em> is an integer.</em>

<em></em>

8 0
3 years ago
Dane is 10 times Brian's age. The difference in their age is 27, how old is Brian
WARRIOR [948]
Brian is 3 years old.
Hope this helps!
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Answer:

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Step-by-step explanation:

3 0
2 years ago
EXPERTSSSS HELP (q.5)
Ostrovityanka [42]

Answer:

not paying 20% means that she DID pay %80

Step-by-step explanation:

4 0
2 years ago
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