1. Calculate: 3 4− 1 5. Type your fractional answer in the table below and press the button to check your work. Make sure the fraction is reduced.
To subtract fractions, we need to find a common denominator. In this case, the common denominator is 20.
The first fraction, 3/4, can be written as 15/20 (by multiplying the numerator and denominator by 5).
The second fraction, 1/5, can be written as 4/20 (by multiplying the numerator and denominator by 4).
Now, we can subtract the fractions: 15/20 - 4/20 = 11/20.
So, the answer is 11/20.
2. Simplify: 25 64. Type your fractional answer in the table below and press the button to check your work. Make sure the fraction is in simplest form (reduced).
To simplify the fraction 25/64, we need to find the greatest common divisor (GCD) of both the numerator and denominator, and then divide them by the GCD.
The GCD of 25 and 64 is 1 (since there are no common factors other than 1).
Dividing both the numerator and denominator by the GCD, we get:
25/1 ÷ 64/1 = 25/64.
Since the GCD is 1, we cannot reduce the fraction any further.
So, the simplest form of 25/64 is 25/64.
Which expression best represents the following statement?
The product of a 6 and a number x.
Select a choice below.
x+6
x-6
x/6
6x
The expression that best represents the statement "The product of 6 and a number x" is 6x.
The sum of 11 and three times a number n.
Select a choice below.
11/3n
11-3n
11+3n
15 (3n)
The expression that best represents the statement "The sum of 11 and three times a number n" is 11 + 3n.
Name the property that is illustrated by the statement below:
5 + 6 + 3 = 5 + 6 + 3 Select a choice below.
Associative
Identity
Commutative
Distributive
The property illustrated by the statement "5 + 6 + 3 = 5 + 6 + 3" is the commutative property.
Evaluate the expression 5b−ac when a = −4, b =2, and c=0.5
To evaluate the expression 5b - ac when a = -4, b = 2, and c = 0.5, we substitute these values into the expression:
5(2) - (-4)(0.5)
Simplifying, we have:
10 + 2 = 12
Therefore, when a = -4, b = 2, and c = 0.5, the expression 5b - ac evaluates to 12.
Evaluate the expression 5x2+2y when x=−3 and y=20.
To evaluate the expression 5x^2 + 2y when x = -3 and y = 20, we substitute these values into the expression:
5(-3)^2 + 2(20)
Simplifying, we have:
5(9) + 40 = 45 + 40 = 85
Therefore, when x = -3 and y = 20, the expression 5x^2 + 2y evaluates to 85.
Evaluate the expression 9mn −2p when m = 1 3, n =−2,and p=5. Type your fractional answer below.
To evaluate the expression 9mn - 2p when m = 1/3, n = -2, and p = 5, we substitute these values into the expression:
9(1/3)(-2) - 2(5)
Simplifying, we have:
9/3(-2) - 10 = -6 - 10 = -16
Therefore, when m = 1/3, n = -2, and p = 5, the expression 9mn - 2p evaluates to -16.
Simplify: 1 39x+15. Type your answer below.
Simplify: 1 39x+15.
To simplify the expression 1/(39x + 15), we can first factor out the common factor of 3 from the denominator:
1/(3(13x + 5))
So, the simplified expression is 1/(3(13x + 5)).
Simplify: 10−x−3.
To simplify the expression 10 - x - 3, we can combine like terms:
10 - (x + 3)
Now, simplify the expression in the parentheses:
10 - x - 3 = 7 - x
So, the simplified expression is 7 - x.