4c + 5h = 650 and
5c + 6h = 800 where c are chefs, h are helpers
Start by finding an expression for c
4c + 5h = 650
4c = 650 -5h
c = (650- 5h)/4
Then substitute that into the second equation and solve for a number value for h
5 (650-5h)/4 + 6h = 800
(3250-25h)/4 + 6h = 800
Multiply both sides by 4
3250-25h + 24h = 3200
-h = -50
h = 50
Take that 50 and substitute it into the expression we have for c to get a number value for c
C= 650-5(50)/4
C = 650-250/4
C = 400/4
C= 100
Check your first equations, substituting $50 for the helpers and $100 for the chefs.
4 (100) + 5(50) =
400 + 250 = 650
5(100) + 6(50) =
500 + 300 = 800
8/7 each side of the expression both go up by 1
First, you would have to add d to both sides to get rid of it
x+d=ab+c/b
Then you would multiply b by both sides to get rid of the b in the denominator
x+d(b)=ab+c
After that, you would subtract c from both sides
x+d(b)-c=ab
Then you would divide both sides by a
x+d(b)-c=b
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a
The altitude to the hypotenuse of a right triangle is the mean proportional between the segments into which it divides the hypotenuse ⇒<span>
</span>altitude = √(9*3) = √27
<span>By the Pythagorean theorem:
y = </span>√(9² + (√27)²) = √(81+27) = √108 = 6√3 ← answer
Answer:
(50+40x) dollars
Step-by-step explanation:
THe fixed cost is $50 (this includes everything and 6GB of data).
Now, for every GB <em>OVER</em> 6 GB he uses, company charges $40 extra.
So, if he used "x" GB EXTRA, his EXTRA cost will be 40 * x = 40x
Thus, his total cost in the month would be fixed cost PLUS the extra, which would be
50 + 40x dollars
