Answer:
7/6 or 1.166666667
Step-by-step explanation:
I solved it on calculator
To 1 d.p 1.2
Answers:
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Work Shown:
The ratio 2 red : 6 grey reduces to 1 red : 3 grey when we divide both parts by 2. For every 1 red car, there are 3 grey cars. There are triple as many grey compared to red.
Let x be the number of red cars. Since there are 3 times as many grey cars, this means 3x represents the number of grey cars.
The total number of cars can be represented by the expression x+3x = 4x
Set this equal to the total number of cars (144) and solve for x
4x = 144
x = 144/4
x = 36
There are 36 red cars.
Subtract that value from 144 to find 144-36 = 108 grey cars.
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An alternative way to solve:
(2 red)/(6 grey) = (x red)/( (144-x) grey)
2/6 = x/(144-x)
2(144-x) = 6x .... cross multiply
2*144 - 2*x = 6x
288 - 2x = 6x
288 = 6x+2x
288 = 8x
8x = 288
x = 288/8
x = 36
If there are 144 vehicles in the parking lot, then 36 cars are red.
Also, 144 - x = 144 - 36 = 108 cars are grey.
The answer is letter C the communative property
It would help if you'd please use parentheses to indicate clearly what is to be multiplied or divided by what.
I am assuming (not claiming that I know) you meant:
(12f-16) (5)
------------ divided by --------------
16 9f^2 - 16
Factor as much as possible before attempting division:
4(3f-4) 5
--------- divided by -----------------
16 (3f-4)(3f+4)
This is equivalent to multiplying as follows:
4(3f-4) (3f-4)(3f+4)
---------- * -----------------
16 5
Is this what you meant? If so, please finish the work. If not, please copy down the original problem making liberal use of parentheses for clarity.
Answer:
Required unique solutions are 8, 4, 0 and the system is consistant.
Step-by-step explanation:
Given system of equation,
5x-2y+4z=12
x+y+z=8
4x-3y+3z=4
To find solution of the system re-write as,
Hence solutions are 8, 4 and 0. And it is a unique solution. Therefore system is consistent.