Answer:
The circumference of a circle can be found by multiplying pi ( π = 3.14 ) by the diameter of the circle. If a circle has a diameter of 4, its circumference is 3.14*4=12.56. If you know the radius, the diameter is twice as large.
Step-by-step explanation:
Answer:
2/5 m - 1/5
Step-by-step explanation:
2 ( 1/5 m - 2/5) + 3/5
Distribute
2/5 m - 4/5 + 3/5
Combine like terms
2/5 m - 1/5
Answer:
5 centimetres = 1 kilometre
Step-by-step explanation:
First add up the distances measured on the map.
1.1+4.8+2.2+3.4=11.5 cm
Based on this, since the number of cm is greater than the number of km, we can figure out that each cm should not be multiplied to get the km, so we can eliminate the first two answers.
Next write an equation to represent finding the scale
x=scale
11.5=2.3x
Now solve for the scale
11.5/2.3=2.3x/2.3
5=x
Therefore the scale is 5 centimetres = 1 kilometre
Answer: The number is 27
The system of equations is: 7x - 2y = 0
-9x + 9y = 45
<u>Step-by-step explanation:</u>
Let x represent the number in the tens place and y represent the number in the ones place. <u>x</u> <u>y</u>
Then 10x + y = 3(x + y)
When the digits are reversed: 10y + x = 10x + y + 45
Simplify each of the above equations and then create a system of equations:
10x + y = 3x + 3y → 7x - 2y = 0
10y + x = 10x + y + 45 → -9x + 9y = 45
9( 7x - 2y = 0) → 63x - 18y = 0
2(-9x + 9y = 45) → <u> -18x + 18y </u>=<u> 90</u>
45x = 90
x = 2
Input x = 2 into either equation to solve for y:
7x - 2y = 0
7(2) - 2y = 0
14 = 2y
7 = y
