Diamonds(red) 3 face cards out of 13
clover - only 1 black ace
hearts(red) 3 face cards out of 13
spade - only 1 black ace
3/13 * 3/13 *1/13 *1/13 = 9/<span>2856<span>1</span></span>
Answer:
16p
Direction: positive/upward direction
Step-by-step explanation:
First, the function is f(x,y) = 4ypx
At the point where x=4 and y=1, the maximum rate of change of the function f(x,y) is
4(1)p(4) = 16p
The direction in which it occurs is the positive(upward) direction
Answer:
Step-by-step explanation:
Given: The ratio of cups of sparkling water to cups of grape juice concentrate is 
in a recipe for fizzy grape juice.
To find: two more ratios of cups of sparkling water to cups of juice concentrate that would make a mixture that tastes the same as this recipe
Solution:
Equivalent ratios are the ratios that have the same value.
Find two ratios equivalent to 
Multiply both numerator and denominator of 
by 2
Multiply both numerator and denominator of by 3
So, two more ratios of cups of sparkling water to cups of juice concentrate that would make a mixture that tastes the same as this recipe are
Answer:
16.7 m/s
Step-by-step explanation:
speed is always in units meters/seconds.
To get this unit, we need to convert the data into the right units.
30 km * 1000m = 30000 m
30 minutes * 60 seconds = 1800 seconds
30000 m / 1800 sec = 16.7 m/s
Suppose the company invests x of their surplus in the 5% rate (and thus 40000-x has 6.5%). Then we have that 5%*x+(40000-x)6.5%=6.25%*40000.
We have that solving this, 5%* x+40000*6.5%-6.5%*x =6.25%* 40000 Accumulating terms, 1.5%*x=0.25%*40000 x=40000/6= 6666.67$. We see that if we invest 6666.67$ at 5%, we get exactly the given rate. If we invest more, we obviously get less. Hence, we have that the company has to invest at 6.5% more than 40000-6666.67=33333.33$
