The second one, your welcome
Answer:
The resultant velocity of the airplane is 213.41 m/s.
Step-by-step explanation:
Given that,
Velocity of an airplane in east direction, 
Velocity of wind from the north, 
Let east lies in the direction of the positive x-axis and north in the direction of the positive y-axis.
We need to find the resultant velocity of the airplane. Let v is the resultant velocity. It can be calculated as :


v = 213.41 m/s
So, the resultant velocity of the airplane is 213.41 m/s. Hence, this is the required solution.
Answer:
The ratio is 29:30
Step-by-step explanation:
First, we need to calculate the mass of sugar in the mix
That would be 100-41-29 = 100-70 = 30g
So the ratio of blackberry to sugar would be mass of the blackberry : mass of sugar
From the question, mass of blackberry = 29g while the mass of sugar = 30g
Mass of blackberry to mass of sugar = 29:30
Answer:
The miles-per-gallon rating of this car is 20.83.
Step-by-step explanation:
This question can be solved by a rule of three.
What is the miles-per-gallon rating of this car?
How many miles for 1 gallon?
4.8 gallons are used for 100 miles. So
4.8 gallons - 100 miles
1 gallon - x miles



The miles-per-gallon rating of this car is 20.83.
Weight of one large bead is 1.5 grams and weight of one small bead is 8.75 grams.
Step-by-step explanation:
Let,
Weight of one large bead = x
Weight of one small bead = y
According to given statement;
12x+8y=88 Eqn 1
5x+2y=25 Eqn 2
Multiplying Eqn 2 by 4

Subtracting Eqn 1 from Eqn 3

Dividing both sides by 8

Putting x=1.5 in Eqn 1

Dividing both sides by 8

Weight of one large bead is 1.5 grams and weight of one small bead is 8.75 grams.
Keywords: linear equation, elimination method
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