Lets name adult price as X and child price as Y
then
1X+3Y=27 (1)
2X+5Y=48 (2)
From (1) we see that X=27-3Y
Lets replace X in (2) with this formula
2(27-3Y)+5Y=48 or 54-6Y+5Y=48 and 54-Y=48 and Y=54-48 so Y=6
From (1) X=27-3*6; X=27-18; X=9
Adult = 9<span>€
Child = 6</span><span>€</span>
Answer:
6 2/3 cups needed
Step-by-step explanation:
So first I would find the unit rate for cookies and cups
1 cup = 9 cookies
So now divide becuase we want to find the amount of cookies
60/9= 6.666666666 or 6 2/3
Now normally it would just be left like that
Answer:
Length of the chord: 24 units
Angles are equal
Step-by-step explanation:
Drop a Perpendicular from the centre onto the chord. It will divide the chord into two equal parts, d units each
d² + 16² = r²
d² = 20² - 16²
d² = 144
d = 12
Chord = 2d = 24 units
Measure of central angle and the corresponding chord related to the measure of the arc intercepted by the chord are the same, they're equal
The answer is:
B) The solution is (4, 200). This means that it will cost me $200 to go to either gym 4 times.
the equations given to you were:
(C = 100 + 25x) and (C = 50x)
well, if you plug in 200 for C and 4 for x you get these equations,
200 = 100 + 25(4), and 200 = 50(x)
I solved both step-by-step below.
1. C = 100 + 25x plug in points
200 = 100 + 25(4) solve the parenthesis's
200 = 100 + 100 combine like terms
200 = 200 both sides are equal
2. C = 50x plug in points
200 = 50(4) solve the parenthesis's
200 = 200 both sides are equal
(2,3)(4,4)
slope(m) = (4-3) / (4-2) = 1/2
y = mx + b
slope(m) = 1/2
(4,4)...x = 4 and y = 4
now we sub
4 = 1/2(4) + b
4 = 2 + b
4 - 2 = b
2 = b
equation is : y = 1/2x + 2