Using proportions, it is found that she will pay $8.28 in total after the discount.
<h3>What is a proportion?</h3>
A proportion is a fraction of a total amount, and the measures are related using a rule of three.
Before tax, the total price is given by:
P = 3.59 + 4.25 + 3.99 = $11.83.
She gets a 30% discount, hence the proportion she pays is 70% of this amount, hence:
P = 0.7 x 11.83 = $8.28.
She will pay $8.28 in total after the discount.
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Answer:
since she is 3/4 the way home she has to go 20 miles cause 15/20 is equal to 3/4
Step-by-step explanation:
Answer:
fate of change = 1/2, initial value = 2
Step-by-step explanation:
assuming the x is after the 1/2,
currently in slope intercept form, so we don't need to change anything (y=mx+b)
rate of change is 1/2, initial value = 2
Answer:
(1,-1)
Step-by-step explanation:
We can solve the system by using substitution.
In order to do this we must make x the subject in the first equation.
We can do this by simply subtract 2y from both sides
x + 2y = -1
subtract 2y from both sides
x + 2y - 2y = -1 - 2y
simplify
x = -2y - 1
now that we have made x the subject in one of the equations we can plug in (or substitute) the value of x into the other equation
2x – 3y = 5
x = -2y - 1
2(-2y - 1) - 3y = 5
We can then solve for y
2(-2y - 1) - 3y = 5
Distribute the 2
-4y - 2 - 3y = 5
combine like terms -4y + -3y
-7y - 2 = 5
add 2 to both sides
-7y = 7
divide both sides by -7
y = -1
Now that we have found the value of y we can plug in the value of y into one of the equations and solve for x
x + 2y = -1
y = - 1
x + 2(-1) = -1
multiply 2 and -1
x + -2 = -1
add 2 to both sides
x = 1
So we have found that x = 1 and y = -1 therefore the solution to the system of equations is (1,-1)
