(a) 2.49 * 6 = 14.94 <== what they spent on goodie bags
(b) 150 for 8 hrs = 150/8 = 18.75 per hr
(c) 182.53 - (150 + 14.94) = 182.53 - 164.94 = 17.59...they spent 17.59 more
Let x = cups of 11% wheat, and y = cups of 63% wheat
He wants 12 cups in total, so we need:
x + y = 12
These 12 cups need to have 50% wheat, which means we are looking at 12*.5 = 6 cups of wheat in total, so our second equation is:
.11x + .63y = 6
We have two equations and two variables. So we can solve by using any means you want. I used substitution:
x = 12 - y
.11(12-y) + .63y = 6
1.32 -.11y + .63y = 6
.52y = 4.68
y = 9
Which means x = 3
Thus, 3 cups of 11% and 9 cups of 63%.
Answer:
Step-by-step explanation:
The solution of a linear system is the intersection of the lines.
We can see the lines A and B intersect at the point (7.5, 12) which is the solution.
See attached for better visualization.
<span>Congruence between two triangles means six items, all three sides and all three angles, are congruent. Thus the statement ABC DEF has a very precise meaning. It succinctly summarizes the six statements (assume lines atop these segments): ABDE, BCEF, ACDF, AD, BE, and CF. It is very important to maintain the vertices in the proper order. Not doing so is a common mistake.</span>
Answer:
9 days
Step-by-step explanation:
Experimental probability is the number of times an event occurs divided by the total number of trials of the event.
We know the experimental probability, based on past data, that rain will fall 20% chance.
So, one can expect, that in the next 45 days, rain will fall 20% of the days, according to our experimental probability.
First, we find decimal equivalent of 20%. We divide by 100:
20% = 20/100 = 0.2
Now we multiply this with the number of days:
0.2 * 45 = 9
Thus,
One can expect it to rain 9 days
