Answer:
$33.66
Step-by-step explanation:
Answer:
He spent $110.00 on both originally
Step-by-step explanation:
Add both prices too get 165
Then use the equation 
= 
cross multiply to get 150x=16500
Divide 16500 by 150 to get x alone
x= 110
We can't eliminate as is so we have to change something up there in the equations to get either the x values the same number but opposite signs, or the y values the same number but opposite signs. I chose to change the y values to the same number but different signs. In the first equation y is -3y and in the second one, y is -8y. The LCM of both of those numbers is 24, so we will multiply the first equation by an 8 (8*3=24) and the second equation by 3 (3*8=24) but since they are both negative right now, one of those multiplications has to involve a negative because - * - = +. Set it up like this:
8(-10x - 3y = -18)
-3(-7x - 8y = 11)
Multiply both of those all the way through to get new equations:
-80x - 24y = -144
21x +24y = -33
Now the y's cancel each other out leaving only the x's:
-59x = -177 and x = 3. Now plug that 3 into either one of the original equations to find the y value. Either equation will work; you'll get the same answer using either one. Promise. -7(3) - 8y = 11 gives a y value of -4. so your solution is (3, -4) or B above.
Answer:
x>6
Step-by-step explanation:
3x+12-5x+5<5
-2x+17<5
-2x<-12
x>6
Answer:
10.5%
Step-by-step explanation:
The tangent of the angle is the ratio of rise to run.
tan(angle) = grade
tan(6°) ≈ 0.105 = 10.5%
The grade will be 10.5% for an angle of elevation of 6°.
