Answer:
52.70
Step-by-step explanation:
62 * 0.15 = 9.300000000000 tvt
62 - 9.30 = 52.70
Answer:
y = -2
Step-by-step explanation:
This one is easy. As you may know, a axis of symmetry is the line where everything is the same on both sides of it. For this, you can use trial and error or just look at the points on either side. For y = -1, that will put the line in an awkward spot, crossing through 2 slanted lines instead of corners. For x = -1, this just cuts through the shape straight up and down and does not make the shape look equal on both sides of the line at all. Same goes for x = -2. I should probably mention, when you see a line that is described as "x = 1", it is a vertical line, because the line is constantly staying on the point x = 1, while having an infinite number of y-values. When you see "y = 1", it will be horizontal for the same reason, just flipped.
Angles<span> can be either straight, right, acute or obtuse. An angle</span><span> is a fraction of a circle where the whole circle is 360°. A straight </span>angle<span> is the same as half the circle and is 180° whereas a right </span>angle<span> is a quarter of a circle and is 90°
hope this helped.</span>
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:
Let 
and 
. By the product rule,
By the power rule, we have 
and 
, but 
are functions of 
, so we also need to apply the chain rule:
and we have
So we end up with
Replace to get everything in terms of :
We can simplify this by factoring:
