Answer:
C
Step-by-step explanation:
Given
f(x) = 3x - 40 and f(x) = 8 , then equate the right sides, that is
3x - 40 = 8 ( add 40 to both sides )
3x = 48 ( divide both sides by 3 )
x = 16 → C
Answer:
145
Step-by-step explanation:
angles in a pentagon add up to equal 540
Hence, 110 + 90 + 80 + 115 + v = 540
( note that we just created an equation that we can use to solve for v )
We now solve for v using the equation created
110 + 90 + 80 + 115 + v = 540
step 1 combine like terms
110 + 90 + 80 + 115 = 395
we now have 395 + v = 540
step 2 subtract 395 from each side
540 - 395 = 145
395 - 395 cancels out
we're left with v = 145
Answer: Yes, the point (3,4) is a solution to the system.
===================================================
Proof of this:
Replace x with 3 and y with 4 in the first equation
x+y = 7
3+4 = 7
7 = 7
This confirms the first equation. Repeat for the second equation
x-2y = -5
3-2(4) = -5
3 - 8 = -5
-5 = -5
We get true equations for both when we plug in (x,y) = (3,4). This confirms it is a valid solution to the system of equations. It turns out it's the only solution to this system of equations. Visually, the two lines cross at the single location (3,4).
26 - 8 = 18.
James has 18 apples.
I) there are 360 degrees in a circle. So subtract all the numbers from 360 to get the angle for econ.
That angle is 65 degrees
ii) If 95 degrees represents 228 books, then 360 degrees represents "x" (total) books. So we have an equation:
<u>95</u> = <u>360</u>
228 x
Solve for x, and we get x = 864
iii) The percentage is 80 degrees out of 360 degrees or 2/9 or roughly 0.222 or 22.2%
