Equation 1: x + y = 40 ; therefore y = 40 - x
Equation 2: 25x + 15y = 900
Find x first:
25x + 15 (40 - x) = 900
25x + 600 - 15x = 900
10x = 900 - 600
x = 300÷10
x = 30 hours Chris needs to spend for tutoring job
y = 40 - 30
y = 10 hours Chris needs to spend for referencing job
Answer:
1.63% probability that the 10 selected include include all the best 5 engineers in the group of 20
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
The order in which the engineers are selected is not important, so the combinations formula is used to solve this question.
Combinations formula:
is the number of different combinations of x objects from a set of n elements, given by the following formula.

Desired outcomes:
10 engineers selected from a set of 20.
5 best, from a set of 5.
Other 5, from a set of 20-5 = 15.

Totao outcomes:
10 engineers selected from a set of 20.

Probability:

1.63% probability that the 10 selected include include all the best 5 engineers in the group of 20
Answer:
<u>Two</u>
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Step-by-step explanation:
The solution for any system of equations is the intersection points between the graph that representing the system of equation.
So, for the given system of equation, we have a circle and a parabola.
As shown in the figure, The circle and parabola are intersects at two points
So, there are two solutions for the system of equations on the graph.
So, The answer is option two.
Answer:
9 times 4 divide by 6
Step-by-step explanation:
it might be it
Answer:
2 pieces, 30ft each
Step-by-step explanation:
rope : 60ft long
we are trying to figure out how many equal pieces we can cut the rope into with the length of each piece to be the greatest possible integer:
if jason wants the length of rope to be the longest than the answer is 2, if he divides the length of 60 by 2, each piece will be 30 feet long. If he divides the rope by any number larger, each piece will be shorter than 30 feet, and he wants the piece to be the largest possible length.