Answer:
All of these terms are dollar amounts.
Step-by-step explanation:
Here, x + y = 10 (where these numerals represent counts)
(1/2)x + (1/4)y = 4 (where (1/2), (1/4) and 4 are dollar amounts)
Let's eliminate y. To accomplish this, mult. the 2nd eq'n by-4, obtaining
-2x - y = -16, and then combining this with the 1st equation, as follows:
-2x - y = -16
x + y = 10
-------------------
-x = -6, or x = 6. This represents the number of pens purchased by Terrance.
Subbing 6 for x in the first equation, we get y = 4. This represents the number of pencils he bought.
($0.50)x + ($0.25)y = $4.00 (dollar amounts)
Answer:
547 m
Step-by-step explanation:
Given :
Angle of depression, θ = 63°43' ; 43/60 = 0.7167 = 63 + 0.7167 = 63.7167°
The height, h = 270
The distance of park bench from the building, d is given by :
Tan θ = opposite / Adjacent
Tan 63.7167 = d / 270
d = 270 * Tan 63.7167
d = 546.70459
d, distance of Park bench from building is 547 m
Both A and C would be solutions to the equation.
In order to solve for this you must first get the equation equal to 0.
2x^2+5x+8=6 ----> subtract 6 from both sides
2x^2 + 5x + 2 = 0
Now knowing this we can use the coefficients of each one in descending order of power as a, b and c.
a = 2 (because it is the coefficient to x^2)
b = 5 (because it is the coefficient to x)
c = 2 (because it is the end number)
Now we can plug these values into the quadratic equation.





or -1/2 for the first answer

or -2 for the second answer
12.5 kilometers per liter