Christine(C) and Ty(T) save quarters in a jar together. The jar had $28 in it, then Christine put in C quarters and Ty put in T quarters. Which expression can be used to represent the amount of money in the bank now?(1 point) answers are:
1. CT + 28
2. 0.50(C+T) + 28
3. 0.25C + 0.25T +28
4. 0.25FJ +28
The correct expression to represent the amount of money in the bank now would be:
3. 0.25C + 0.25T + 28
21. A ribbon 6 1/8 feet in length is shortened by having 2 1/12 feet cut off one end. What is the length of the shortened ribbon?
To find the length of the shortened ribbon, we need to subtract the length cut off from the original length.
The original length of the ribbon is 6 1/8 feet.
The length cut off from one end is 2 1/12 feet.
To subtract fractions, we need to find a common denominator.
The common denominator for 8 and 12 is 24.
Converting 6 1/8 to an improper fraction:
6 1/8 = (6 * 8 + 1)/8 = 49/8
Converting 2 1/12 to an improper fraction:
2 1/12 = (2 * 12 + 1)/12 = 25/12
Now, let's subtract:
49/8 - 25/12
To subtract fractions, the denominators must be the same.
Converting both fractions to have a denominator of 24:
49/8 * 3/3 = 147/24
25/12 * 2/2 = 50/24
Now, we can subtract:
147/24 - 50/24 = 97/24
The shortened ribbon is 97/24 feet in length.
As a mixed number:
97/24 = 4 1/24
Therefore, the length of the shortened ribbon is 4 1/24 feet.
Simplify
0.625 + 3/4
To simplify the expression 0.625 + 3/4, we need to convert the decimal 0.625 to a fraction.
0.625 = 625/1000 = 5/8
Now we have:
5/8 + 3/4
To add fractions, we need to find a common denominator, which in this case is 8.
Rewriting 3/4 with a denominator of 8:
3/4 = (3*2)/(4*2) = 6/8
Now we have:
5/8 + 6/8
Since the denominators are the same, we can simply add the numerators:
5/8 + 6/8 = (5 + 6)/8 = 11/8
Therefore, the simplified expression is 11/8.
Divide
-4/17 dividing -3/4
When dividing fractions, we need to multiply the first fraction by the reciprocal of the second fraction.
The reciprocal of -3/4 is -4/3.
(-4/17) ÷ (-3/4) can be written as (-4/17) * (-4/3).
We multiply the numerators: -4 * -4 = 16.
We multiply the denominators: 17 * 3 = 51.
Therefore, (-4/17) ÷ (-3/4) simplifies to 16/51.
At Georgia Connection Academy, 2/5 of the students are in the Club. Of the students in the club 1/4 participates in eSports club. What fraction on the students at GACA participate in eSports?
To find the fraction of students at Georgia Connection Academy (GACA) that participate in eSports, we need to multiply the fractions representing the portion of students in the Club and the portion of Club members that participate in eSports.
Given:
- 2/5 of the students are in the Club.
- 1/4 of the Club members participate in eSports.
To calculate the fraction that participate in eSports, we can multiply 2/5 by 1/4:
(2/5) * (1/4) = (2 * 1) / (5 * 4) = 2/20
The fraction of students at GACA that participate in eSports is 2/20.
However, we can simplify this fraction by dividing the numerator and denominator by their greatest common divisor, which is 2:
2/20 = (2 ÷ 2) / (20 ÷ 2) = 1/10
So, 1/10 of the students at GACA participate in eSports.
To find the expression that represents the amount of money in the bank now, we need to first understand the values of C and T. C represents the number of quarters Christine put in, and T represents the number of quarters Ty put in.
Since each quarter is worth $0.25, the amount of money represented by the quarters Christine put in would be 0.25C. Similarly, the amount of money represented by the quarters Ty put in would be 0.25T.
Adding up the amount of money represented by the quarters and the initial $28 in the jar, we can derive the following expression:
0.25C + 0.25T + 28
Hence, the correct answer is option 3:
0.25C + 0.25T + 28