<u>Answer:</u>
$6.00
<u>Step-by-step explanation:</u>
To solve this problem, we have to construct two separate equations for each family, and then use any of the methods for solving simultaneous equations.
Let's consider <em>h </em>to represent the cost of 1 hot dog, and <em>w </em>to mean the cost of 1 water bottle.
• For the first family:
We can rearrange the equation to make <em>w</em> the subject:
⇒ 
⇒ 
• For the second family:
Since we have previously obtained an expression for <em>w</em> in terms of <em>h</em>, we can substitute that expression for <em>w</em> in the above equation, and then solve for <em>h</em>:
⇒ 
⇒ 
⇒ 
[Multiplying both sides of the equation by 3]
⇒ 
⇒ 
⇒ 
∴ The price of one hot dog is $6.00.
I dont get it LOL but im doing this too so maybe you can help me too?
Answer:
4 feet
Step-by-step explanation:
Let x be the height of the tower when finished.
We have been given that Priya takes a break when the tower is 2 and 1/2 feet tall, which is 5/8 of the height of the tower she wants to build.
This means that 5/8 of x equals 2 and 1/2. Let us represent this information in an equation.
5/8*x=2 and 1/2
Let us convert our given mixed fraction into an improper fraction.
5/8*x=5/2
Let us multiply both sides of our equation by 8/5.
8/5*5/8*x=5/2*8/5
x=8/2
x=4
Answer:
Step-by-step explanation:
we know that
The linear equation in slope intercept form is equal to
where
m is the slope
b is the y-intercept
<em>Find the slope</em>
The formula to calculate the slope between two points is equal to
take the points
(0,2.5) and (100,97.5)
substitute in the formula
Find the y-intercept b
we have
substitute i the linear equation
solve for b
Note It was not necessary to calculate the value of b because the value is given in the table
Remember that the y-intercept is the value of y when the value of x is equal to zero (the y-intercept is the point (0,2.5))
The linear equation is
