The age of the Harry in the terms of variable <em>x, </em>as the age of his father is (x+4) is represent with following equation.
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How to write algebraic expression? </h3>
Algebraic expression are the expression which consist the variables, coefficients of variables and constants.
The algebraic expression are used represent the general problem in the mathematical way to solve them.
Harry is one third as old as his father and his father is x+12 years old.To find the age of Harry, we need to convert the given statement into the algebraic expression.
Suppose the age of the Harry is <em>a</em> years and the age of his father is<em> b</em> years. Now Harry is one third as old as his father, thus
Let the above equation is equation one.
As the father of Harry is x+12 years old. Thus put the value of age of his father in the equation one as,
The age of the Harry in the terms of variable <em>x, </em>as the age of his father is (x+4) is represent with following equation.
Learn more about the algebraic expression here;
brainly.com/question/2164351
Answer:
52
Step-by-step explanation:
Answer:
x + 2x = 109
Step-by-step explanation:
Deposited amount = $14.
Rate of interest = 2.7%
In decimals 2.7 could be written by dividing 2.7 by 100, we get
0.027.
Interest earned each year = 2.7% of $14 = 0.027*14 = $0.378.
We can make a table to balance by after each year.
First year balance: First year interest + Deposited amount = 0.378 +14 = $14.378.
Second year balance: Second year interest + Deposited amount = 2*0.378 +14 = 0.756+ 14 = $14.756.
Third year balance: Third year interest + Deposited amount = 3*0.378 +14 = 1.134+ 14 = $15.134.
We get four coordinates to graph A(0,14), B(1, 14.378) , C(2, 14.756) and D(3, 15.134).
Plotting those coordinates of the points A, B, C and D on the graph.
Answer:
π/8 radians
Step-by-step explanation:
THIS IS THE COMPLETE QUESTION
In 1 h the minute hand on a clock moves through a complete circle, and the hour hand moves through 1 12 of a circle. Through how many radians do the minute hand and the hour hand move between 1:00 p.m. and 1:45 p.m. (on the same day)?
SOLUTION
✓If the minute hand on a clock moves through complete circle in 1 hour, then it means that it goes through a circle and angle of circle in radians is 2π.
Between 1:00 p.m. and 1:45pm in the same day we have 45 minutes i.e (1.45 pm -1pm)
Within the 1hour minutes, the hand can move with complete cycle of 2π radians
Then At time t= 45minutes
Angle through the circle at 45 minutes= 45/60 ×2π radians
= 3π/2 radians
And if the hour hand goes through a complete cycle 1/12 as told in the question we have 1/2 × 2π radians
For t=45 minutes
Then 1/12 × 2π ×45/60
= π/8 radians
Hence, the minute hand and the hour hand move π/8 radians between 1:00 p.m. and 1:45 p.m.
