Answer:
children's: 111 and adults: 62
Explanation:
- given total number of people 173
- total amount received is $306
- during the process, we shall consider x as children and y as adult
make equations:
x + y → 173 [ this was from total people ]
1.5x + 2.25y → $306 [ this was from cost ]
try to make x the subject:
x + y → 173
x → 173 - y ______equation 1
1.5x + 2.25y → $306
1.5x → 306 - 2.25y
x →
__________equation 2
solve them simultaneously:
= 173 - y
306 - 2.25y = 259.5 - 1.5y
-2.25 + 1.5y = 259.5 - 306
-0.75y = -46.5
y = 62
so there were total 62 adults that day in the public swimming pool.
find children's using:
x → 173 - y
x → 173 - 62
x → 111
so there were total 111 children's that day in the public swimming pool.
The solution is x=3/4
How can we solve given equation?
First, we will solve like terms. Then shift constant to other side and keep x on the same side to get the value of x.
We can solve given equation as shown below:
5/2-3x-5+4x=-7/4
(5-10)/2+x=-7/4
-5/2+x=-7/4
x=5/2-7/4
x= (10-7)/4
x=3/4
Hence, the solution is x=3/4.
Learn more about Linear equations here:
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The point-slope form the line which has the value of slope -5 and contains a point as A(2,-1) is (y+1)=-5(x-2).
<h3>What is point slope form?</h3>
The point slope form of a line is the expression of line which has a specified slope and passes through a point.
The point slope form is givne as,
(y-y₁)=m(x-x₁)
Here, m is the slope of the line, x₁ is the x coordinate of the point by which line passes and y₁ is the y coordinate of the same point.
The slope of a line is -5. This line contains the point A (2,-1). Thus, the point slope form is,
(y-y₁)=m(x-x₁)
(y-(-1))=-5(x-2)
(y+1)=-5(x-2)
Thus, the point-slope form the line which has the value of slope -5 and contains a point as A(2,-1) is (y+1)=-5(x-2).
Learn more about the point slope form here;
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0.009 i think this is the answer