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Elena-2011 [213]
3 years ago
7

19. There were 20 drinks in a cooler.

Mathematics
1 answer:
ella [17]3 years ago
5 0

For this case we have that the complete question is:

There were 20 drinks in a cooler. Joey drank 15% of the drinks. Sandra drank 1/5 of the drinks. Hannah drank 1/4 of the drinks. Tammy drank 30% of the drinks. How many drinks are left in the cooler? a 0 b 2 c 5 d 9

We propose a rule of three:

20 ---------> 100%

x ------------> 15%

Where the variable "x" represents the amount of drinks equivalent to 15%.

x = \frac {15 * 20} {100}\\x = 3

So, Joey drank 3 drinks.

On the other hand, we have that Sandra drank \frac {1} {5}of the drinks:

20 * \frac {1} {5} = \frac {20} {5} = 4

Thus, Sandra drank 4 drinks.

In addition, Hannah drank\frac {1} {4} of the drinks:

20 * \frac {1} {4} = 5

So Hannah drank 5 drinks.

Finally, Tammy drank 30% of the drinks:

20 ---------> 100%

y ------------> 30%

Where the variable "y" represents the amount of drinks equivalent to 30%.

y = \frac {30 * 20} {100}\\y = 6

So Tammy drank 6 drinks.

Adding up we have:

3 + 4 + 5 + 6 = 18

So: 20-18=2

Thus, 2 drinks remain in the refrigerator.

Answer:

Option B

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dybincka [34]

i) The given function is

f(x)=\frac{(2x+1)(x-5)}{(x-5)(x+4)^2}

The domain is

(x-5)(x+4)^2\ne 0

(x-5)\ne0,(x+4)^2\ne 0

x\ne5,x\ne -4

ii) For vertical asymptotes, we simplify the function to get;

f(x)=\frac{(2x+1)}{(x+4)^2}

The vertical asymptote occurs at

(x+4)^2=0

x=-4

iii) The roots are the x-intercepts of the reduced fraction.

Equate the numerator of the reduced fraction to zero.

2x+1=0

2x=-1

x=-\frac{1}{2}

iv) To find the y-intercept, we substitute x=0 into the reduced fraction.

f(0)=\frac{(2(0)+1)}{(0+4)^2}

f(0)=\frac{(1)}{(4)^2}

f(0)=\frac{1}{16}

v) The horizontal asymptote is given by;

lim_{x\to \infty}\frac{(2x+1)}{(x+4)^2}=0

The horizontal asymptote is y=0.

vi) The function has a hole at x-5=0.

Thus at x=5.

This is the factor common to both the numerator and the denominator.

vii) The function is a proper rational function.

Proper rational functions do not have oblique asymptotes.

6 0
3 years ago
Through: (4,4), slope<br> 9/4
faltersainse [42]

Answer:

y - 4 = (9/4)(x - 4)

Step-by-step explanation:

Here we're given the slope (9/4) of a line and one point (4, 4) on the line.  The easiest form of the equation of a straight line to use here is the point-slope form:

y - k = m(x - h).

Here h = 4 and k = 4; the slope is m = 9/4.

Thus, the desired equation is

y - 4 = (9/4)(x - 4)

4 0
3 years ago
A concession stand at a baseball game sells 3 apples for $2.00. How can you find the cost for 10 apples?
Angelina_Jolie [31]
You would do $2.00 ÷ 3 = $0.67
10 × $0.67 = $6.70

10 apples would cost $6.70

HOPE THIS HELPED :)
6 0
3 years ago
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Answer:

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Step-by-step explanation:

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3 years ago
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Answer:

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