Bryan’s golf coach suggested he take some golf lessons. The Pro at Windy Fairways charges $20.00 per month plus $10.00 per lesso
1 answer:
Bryan has to take 8 classes for both Pro's to be the same price.
Step-by-step explanation:
Given,
Monthly charges of Pro at Windy = $20.00
Charges per lesson = $10.00
Let,
x be the number of lessons
W(x) = 10x +20
Monthly charges of Sunny Sands = $100.00
They offer unlimited classes.
S(x) = 100
For the price to be same;
W(x) = S(x)
Dividing both sides by 10
Bryan has to take 8 classes for both Pro's to be the same price.
Keywords: function, division
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Answer: They will travel about 131.18 yards.
Step-by-step explanation:
Given : A football field is 120 yards long by 53 yards wide.
We know that a football field is rectangular in shape.
Each interior angle in a rectangle is a right angle.
Then, by Pythagoras theorem, we have
(Diagonal)² = (Length)² + (Width)²
If a player runs diagonally from one corner to the opposite corner, then the length of the diagonal is given by :-
Hence, they will travel about 131.18 yards.
Answer:
a) 20 ways
b) 10 ways
Step-by-step explanation:
When the order of selection/choice matters, we use Permutations to find the number of ways and if the order of selection/choice does not matter, we use Combinations to find the number of ways.
Part a)
We have to chose 2 objects from a group of 5 objects and order of choice matters. This is a problem of permutations, so we have to find 5P2
General formula of permutations of n objects taken r at time is:
Using the value of n=5 and r=2, we get:
Therefore, we can choose 2 objects from a group of 5 given objects if the order of choice matters.
Part b)
Order of choice does not matter in this case, so we will use combinations to find the number of ways of choosing 2 objects from a group of 5 objects which is represented by 5C2.
The general formula of combinations of n objects taken r at a time is:
Using the value of n=5 and r=2, we get:
Therefore, we can choose 2 objects from a group of 5 given objects if the order of choice does not matters.
<u>Answer:</u>
Both accounts of Nick and Allie will have same amount of $864 in time period of 4 weeks.
<u>Solution: </u>
Given, Yesterday two friends went into a bank to open savings accounts.
Allie started by putting $783 in her account, and she will deposit an additional $27 each week.
Nick made no initial deposit, but he will add $288 more each week.
In a few weeks, the friends will have the same account balance.
Here, account balance of Allie for every week forms an A.P as
783, 810, 837, ……. With common difference 27
And, account balance of nick for every week will be
0, 288, 576, …….. with common difference 288
Let, after n weeks the balance in both accounts be equal.
Then, nth term of both series will be equal, we know that, nth term tn of A.P is a + (n – 1)d
Where, a is first term, d is common difference and n is number of terms.
Now, nth term of allie series = nth term of nick series.
783 + (n – 1) x 27 = 0 + (n – 1) x 288
Here, we used same n for both sides because n represents number of weeks and it is common to both
783 + 27n – 27 = 288n – 288
756 + 288 = 288n – 27n
261n = 1044
n = 4.
So, it will take 4 weeks to have same balance and now, substitute n value in nth term of nick series.
Hence, both accounts will have same amount of $864 in time period of 4 weeks