Answer:
4, 22 See below
Step-by-step explanation:
2x + y = 30
5x + y = 42
Subtract the first from the second
3x = 12
x = 4 so socks cost $4
Put that into one of the original equations
2x + y = 30
2(4) + y = 30
8 + y = 30
y = 22 slippers cost $22
Recall that the area of an equilateral triangle with side length is .
In the plane, the base is given by two equations:
so that for any given , the vertical distance between the two sides of the circle is
and this is the side of length of each triangular cross-section for each . Then the area of each cross-section is
and the volume of the solid is
Step-by-step explanation: i hope this helps :)
Simplifying
g(x) = 5x + -1
Multiply g * x
gx = 5x + -1
Reorder the terms:
gx = -1 + 5x
Solving
gx = -1 + 5x
Solving for variable 'g'.
Move all terms containing g to the left, all other terms to the right.
Divide each side by 'x'.
g = -1x-1 + 5
Simplifying
g = -1x-1 + 5
Reorder the terms:
g = 5 + -1x-1
Answer:
1 divided by 4 is 0.25
Step-by-step explanation:
calculator....;p
The present age of Cesar is 38 years old
<em><u>Solution:</u></em>
Let the present age of Cesar be "a"
Let the present age of Hillary be "b"
<em><u>Cesar is 5 years older than Hillary</u></em>
Present age of Cesar = 5 + present age of Hillary
a = 5 + b ------ eqn 1
<em><u>In 9 years the sum of their ages will be 89</u></em>
Age of cesar after 9 years = a + 9
Age of hillary after 9 years = b + 9
Sum of their ages is 89
Therefore,
a + 9 + b + 9 = 89
a + b = 89 - 18
a + b = 71 -------- eqn 2
<em><u>Substitute eqn 1 in eqn 2</u></em>
5 + b + b = 71
5 + 2b = 71
2b = 66
b = 33
<em><u>Substitute b = 33 in eqn 1</u></em>
a = 5 + 33 = 38
Thus present age of Cesar is 38 years old