Hello
This question requires us to change the subject of a formula. This can be achieved by following the order of operations in reverse. First, isolate the terms with our variable of interest, x:
ax - bx = z - y
Then, we take x out as it is being multiplied to both a and b:
x(a - b) = z - y
Dividing (a - b) on both sides, we get:
x = (z - y) / (a - b)
Thus, the answer is A
Answer:
4.6 hours
Step-by-step explanation:
we first need to calculate the total distance he covered and total time taken whole for the journey.
Distance= speed X time
time = Distance/speed
let the total distance be X. he covers 2/5 if the journey first.
2/5 = 0.4
Time = 0.4x/45 hours
the remaining journey is 3/5x
he covers 1/3 X 3/5= 0.2x
time taken = 0.2/90 X hours
the remaining distance = 100× 1.2 = 120km
we add 0.4x + 0.2x to get the fraction he had covered
0.6x.
the remaining distance was X - 0.6x = 0.4 X
thus 120 km represents 0.4x of the journey
we calculate now the value of X
0.4x = 120
X = 300km
Total time taken = 0.4x/45 + 0.2/90 + 1.2 hours
replace X to get time
2.7 hours + 0.7 hours + 1.2 hours
= 4.6 hours
Answer: the large jar is cheaper
Step-by-step explanation:
If you divide the £1.54 by 440g and £1.26 by 340g, you'll find which one is cheaper per gram :
1.54/440 = 0.0035
1.26/340 = 0.0037
So, by comparing both prices/gram, you've found that the large jar is cheaper.
Answer:
Standard deviation of the length of granola bars produced at Bernie's Bars is 0.50
Step-by-step explanation:
We are given the following information in the question:
Formula:
where,
μ is the mean and σ is the standard deviation.
Putting the values we get:
Solving the two obtained equations:
Subtracting the two obtained equation, we have:
Hence, standard deviation of the length of granola bars produced at Bernie's Bars is 0.50
35x -10y=-120
10x +10y= 30
45x=-90
x=-2
5(-2)+5y=15
-10+5y=15
5y=25
y=5
(-2,5): the answer is b
