A shopkeeper gives a full bottle of a soft drink in return for six empty bottles. A guy has 88

Mathematics

1 answer:

gogolik [260]3 years ago

5 0

Answer:

88+6=94

Step-by-step explanation:

Add the empty bottles

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(-2,3) and slope m=9

klemol [59]

Answer:

Step-by-step explanation:

7 0

3 years ago

Of the total number of spectators at a circus show, 1/4 are men. 2/5 of the remaining number of spectators are women. There are

ch4aika [34]

Answer: There are $198$ children at the circus show.

Step-by-step explanation:

Let be "x" the total number of spectators at the circus show and "c" the number of children at the circus show.

Knowing that $\frac{1}{4}$ of the spectators are men, we can find the remaining:

$x-\frac{1}{4}x=\frac{3}{4}x$

Since $\frac{2}{5}$ of the remaining number of spectaros are women and there are a total of 132 women, we can write the following equation:

$(\frac{2}{5})(\frac{3}{4}x)=132$

Solving for "x", we get:

$x=(132)(\frac{20}{6})\\\\x=440$

Therefore, we get that "c" is:

$c=440-\frac{1}{4}(440)-132\\\\c=198$

8 0

4 years ago

Which equation represents the circle described?

bazaltina [42]

We have the equation:

$x^2+y^2-8x-6y+24=0$

By arranging this equation in terms of x and y, we have:

$x^2-8x+y^2-6y=-24 \\ \\$

By using the method of completing the square, we have:

$x^2-8x+\mathbf{\left(\frac{8}{2}\right)^2}+y^2-6y+\mathbf{\left(\frac{6}{2}\right)^2}=-24+\mathbf{\left(\frac{8}{2}\right)^2}+\mathbf{\left(\frac{6}{2}\right)^2} \\ \\ x^2-8x+\mathbf{16}+y^2-6y+\mathbf{9}=-24+\mathbf{16}+\mathbf{9} \\ \\ \boxed{(x-4)^2+(x-3)^2=1}$