Answer:
x =12
Step-by-step explanation:
The two angles are complementary, so the add to 90 degrees
5x+1/2x +24 = 90
Combine like terms
5 1/2 x +24 = 90
Subtract 24 from each side
5 1/2 x = 90-24
Change the mixed number to an improper fraction
11/2 x = 66
Multiply by the reciprocal 2/11 on each side
2/11 *11/2 x = 66*2/11
x = 6*2
x =12
Answer: y=-3/4x-2
Step-by-step explanation:
Write an equation of a line in slope-intercept from with the given slope, slope:–3/4, y-intercept: –2
The y-intercept is at (0,-2)
Then we write the equation using y=mx+b becuase that is the point slope form.
m=-3/4 which was given in the question
because y-intercept is at (0,-2)
y=-2
x=0
-2=-3/4(0)+b
-2=0+b
-2=b
now we know that m is -3/4 and b is -2
Hence the equation is y=-3/4x-2
It's slightly ambiguous because the year isn't an even number of weeks, so sometimes that extra day falls on a weekend and sometimes on a weekday. We'll assume a weekend; that makes the numbers come out nice.
Total working days, 52 five day weeks minus 30 days vacation
So his daily rate is
dollars per day
Answer: A
It's closer to $518 when we count the extra day as a weekday.
Answer: 4(5+2) or 4(2+5)
Step-by-step explanation:
8 = 2*2*2
20 = 2*2*5
4(5+2) = 20+8
When you have an expression to the power of (1/2) that means the same thing as having a square root.
Lets call a=x
To get rid of the square root we square both sides getting:
2x^2+5x+2= 3^2
Simplifying this we get: 2x^2+5x+2=9
We can subtract 9 from both sides getting: 2x^2+5x-7
Now when we solve for this we can use the quadratic formula:
(-b +/- sqrt(b^2-4ac)) / 2a
a=2 , b=5 , c=-7
Plugging in we end up with : (-5 +/- sqrt(81)) /4
This simplifies to : (-5 +/- 9) / 4 ..... (-5+ (-9))/4 OR (-5-(-9))/4
we have x= -14/4 , 1
