Answer:
The value of x would be 
or 
Step-by-step explanation:
Given,
x tons of 10% gravel G mixture is mixed with y ton of 2% gravel G to obtain 5% gravel mixture,
Thus, gravel G in x ton + gravel in y ton = gravel G in the resultant mixture,
⇒ 0.1x + 0.02y = 0.05(x+y),
0.1x - 0.05x = 0.05y - 0.02y
0.05x = 0.03y
Now, resultant mixture is z ton,
i.e. 
From equation (1),
Answer:
y = 2/3x - 6
Step-by-step explanation:
Use the slope intercept equation, y = mx + b
Plug in the slope and given point, then solve for b
y = mx + b
-4 = 2/3(3) + b
-4 = 2 + b
-6 = b
Plug in the slope and b into the equation
y = 2/3x - 6
So, the equation of the line is y = 2/3x - 6
You want to find values of v (number of visors sold) and c (number of caps sold) that satisfy the equation
... 3v + 7c = 4480
In intercept form, this equation is
... v/(1493 1/3) + c/640 = 1 . . . . . divide by 4480
Among other things, this tells us one solution is
... (v, c) = (0, 640)
The least common multiple of 3 and 7 is 21, so decreasing the number of caps sold by some multiple of 3 and increasing the number of visors sold by that same multiple of 7 will result in another possible solution.
The largest multiple of 21 that is less than 4480 is 213. Another possible solution is (0 +213·7, 640 -213·3) = (1491, 1)
We can also pick some number in between, say using 100 as the multiple
... (0 +100·7, 640 -100·3) = (700, 340)
In summary, your three solutions could be
... (visors, caps) = (0, 640), (700, 340), (1491, 1)
Answer:
-8(7y-8)-3(7y-7)−8(7y−8)−3(7y−7)
Distribute to remove the parentheses.
Collect like terms
-154y+170
Step-by-step explanation:
That is 12*11*10*9*8*7*6*5*4=79833600 ways
