Answer:
Width is 4cm, length is 12 cm.
Step-by-step explanation:
Write the problem as an equation.
(x+12)*(x)=48
Where x is the length of the shorter side.
Solve.
(x^2)+12x=48
x=4
Answer: The below figure shows the graph of f(x).
Explanation: Given function, 
Since, here three conditions are given,
In first case for values x<-5 , f(x)=5, so we get a line y=5 parallel to x-axis which passes through point (0,5).
In second case, for values
, f(x) =-2, so we get a line y=-2 parallel to x-axis which passes through point (0,-2).
In third case, for values x>6, f(x)=1, so we get a line y=1 parallel to x-axis which passes through point (0,1).
Thus, these three lines make the piecewise-defined function f(x).
Let S represent Sunaina's age.
Let T represent Tanish's age.
So 2S - T/2 = 40, 4S - T = 80.
Either S - T = 2 or T - S = 2. Let's try both cases.
Either 3S = 78 or 3S = 82.
Since 82 is not a multiple of 3, S = 26.
So Sunaina is 26 years old and Tanish is 24 years old.
Answer:
8.7kilos
Step-by-step explanation:
70.22 divided by 8
hope this helps!
Answer:
We have 40% antifreeze and 70% antifreeze and we need to make 240 liters of 64% antifreeze.
We set up 2 equations where "f" is the 40 % and "s" is the 70%
A) f + s = 240
B) .40f + .70s = (.64 * 240) (or 153.6)
To solve both equations we multiply A) by -.40
A) -.40 f - .40 s = -96.00 then we add this to B)
B) .40f + .70s = 153.60
.30s = 57.6
s = 192
f = 48
48 liters of 40% = 19.20 liters of antifreeze
192 liters of 70% = 134.40 liters of antifreeze
That equals 153.60 liters of antifreeze in a TOTAL liquid amount of 240 liters.
Double Check
153.60 / 240 = 64% antifreeze.
Step-by-step explanation: