Answer:
So, after 6 months, they both have the same number of coins.
Step-by-step explanation:
Jack has 56 coins
Jill has 80 coins
Jack collect 12 coins per month
Jill collect 8 coins per month
Let after m months, they both have the same coin.
56 + 12 m = 80 + 8 m
12 m - 8 m = 80 - 56
4 m = 24
m = 6
So, after 6 months, they both have the same number of coins.
Answer:
Quadrant II
Step-by-step explanation:
(-5,6)
The x coordinate is negative so the quadrant is either 2 or 3
The y coordinate is positive so the quadrant is either 1 or 2
To make both happen, it must be in quadrant 2
Quadrant II
Answer:
- 13
Step-by-step explanation:
Substitute x = - 1 into f(x) to obtain the remainder on dividing by (x + 1)
f(- 1) = - 2(- 1)³ - 4(- 1)² + 3(- 1) - 8
= 2 - 4 - 3 - 8 = - 13
Thus the remainder on dividing f(x) by (x + 1) is - 13
Each large box weighs 15 kilograms and each small box weighs 13.5 kilograms.
Step-by-step explanation:
Let,
Weight of large box = x
Weight of small box = y
According to given statement;
5x+2y=102 Eqn 1
3x+8y=153 Eqn 2
Multiyplying Eqn 1 by 4
Subtracting Eqn 2 from Eqn 3
Dividing both sides by 17
Putting x=15 in Eqn 2
Dividing both sides by 8
Each large box weighs 15 kilograms and each small box weighs 13.5 kilograms.
Keywords: linear equation, elimination method
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