Answer:
(x, y) = (3, 1)
Step-by-step explanation:
given the 2 equations
2x + 3y = 9 → (1)
x + 5y = 8 → (2)
multiplying (2) by - 2 then adding to (1) will eliminate the term in x
multiply (2) by - 2
- 2x - 10y = - 16 → (3)
add 1(1) and (3) term by term
(2x - 2x) + (3y - 10y) = (9 - 16)
- 7y = - 7 ( divide both sides by - 7 )
y = 1
Substitute y = 1 in either (1) or (2) and solve for x
(1) : 2x + 3 = 9 ( subtract 3 from both sides )
2x = 6 ( divide both sides by 2 )
x = 3
Solution is (3, 1 )
Answer: The height of the new player is 210 cm
Step-by-step explanation: The previous mean of the entire team has been calculated as 200.3
What this means is that, we have a summation of the observed data and a summation of the frequency of data.
The mean was calculated as
Sum FX/Sum F = 200.3
Where Sum FX is 2604 and Sum F is 13
However, our calculation should now read thus,
Sum FX/Sum F = 201 {where 201 is the new mean}
By cross multiplication we now have
Sum FX = Sum F x 201
Remember that a new member has joined the team so our Sum F is now 14 and we can now express it as thus
Sum FX = 14 x 201
Sum FX = 2814
If the summation of the observed data after adding a new team member is now 2814, then the addition to the previous observed data would be
2814 - 2604 = 210
So the height of the new member added to the team is 210 cm.
Answer:
x = 9
Step-by-step explanation:
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There would be no pennies
