What is the algebraic expression for the following word phrase: the product of 5 more than x and 6?
A. 4(x+6)
B. 6(x+4)
C. 6+(x+4)
D. 6-(x+4)
evaluate x/y for x=2/3 and y=6/7
A. 7/9
B. 8/10
C. 9/12
D. 12/21
1. None of the answers is correct.
2.
(2/3) / (6/7)
(2/3) * (7/6 = ?
what u suck ms. sue
To find the algebraic expression for the given word phrase "the product of 5 more than x and 6," we break it down into two parts:
1. "5 more than x" translates to x + 5.
2. "the product of x + 5 and 6" translates to (x + 5) * 6.
Therefore, the correct algebraic expression is 6(x + 5).
So, the answer is option B: 6(x + 5).
For the second question, to evaluate x/y for x=2/3 and y=6/7, we simply substitute the given values into the expression x/y.
So, x/y = (2/3) / (6/7).
To divide fractions, we multiply the first fraction by the reciprocal of the second fraction.
So, x/y = (2/3) * (7/6).
Now, we can multiply the numerators together, as well as the denominators.
x/y = (2 * 7) / (3 * 6).
Simplifying the numerator and denominator gives us:
x/y = 14 / 18.
The greatest common divisor of 14 and 18 is 2, so we can divide both the numerator and denominator by 2.
x/y = 7 / 9.
Therefore, the answer is option A: 7/9.