The problem express that the fraction of time
worked by the three people need to be equivalent to one person working full
time. This means that the fraction need to add up to one. We know one person
works ½ time on the project and another works one third 1/3 time.
Given:
A = the amount of time that the third person needs
to work on the job to add up to one
1 = ½ +1/3 + A
1 – ½ - 1/3 = A
To subtract the fractions put them all over a
common denominator. Use 3 * 2 as the denominator.
1=6/6, ½ = 3/6, 1/3 = 2/6
A = 6/6 – 3/6 – 2/6
<span>A = 1/6 , The third person must work on the project</span>
Nia answered correct answers = 80% of the 40 questions
When we remove % sign from a number, we divide that number by 100
=
of 40
=
Cancelling the two zeroes from numerator and denominator,
= 
= 32.
Total correct answers answered by Nia = 32
Answer:
7/11
Step-by-step explanation:
Let X equal the decimal number
Equation 1:
X=0.63¯¯¯¯¯
With 2 digits in the repeating decimal group,
create a second equation by multiplying
both sides by 102 = 100
Equation 2:
100X=63.63¯¯¯¯¯
Subtract equation (1) from equation (2)
100XX99X===63.63...0.63...63
We get
99X=63
Solve for X
X=6399
Find the Greatest Common Factor (GCF) of 63 and 99, if it exists, and reduce the fraction by dividing both numerator and denominator by GCF = 9,
63÷999÷9=711
Therefore
X=711
In conclusion,
0.63¯¯¯¯¯=711
used
https://www.calculatorsoup.com/calculators/math/decimal-to-fraction-calculator.php
The height of the ball initially is 54 inches. The common ratio has been provided which is 0.750.
The explicit formular for the geometric sequence is shown as;

The explicit formula is shown as;
54 x (0.750)^9
The rest is simply to solve for the height on the 10th bounce
Hey there!
2/3 = a/30
First: you have to CROSS MULTIPLY the given numbers
2(30) = 3(a)
2(30) = 60
3(a) = 3a
New EQUATION: 3a = 60
Second: DIVIDE 3 to BOTH SIDES
3a/3 = 60/3
CANCEL out: 3/3 because that gives you 1
KEEP: 60/3 because that helps you solve for your a-value
60/3 = a
60/3 = 20
Therefore, your answer is: a = 20
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)