Answer:
1.) The product of 12 and 3/4 is less than 12. This is because you are multiplying 12 by a number less than 1.
2.) The product of 5 and 1/2 is less than 5, this is because you are multiplying 5 by a number less than one.
Step-by-step explanation:
If multiplied by a number less than one then it will be smaller than original
If multiplied by one will be the same as original
If multiplied by a number greater than one it will be greater than original
Explanation:
Pair 1 is true if Jeff's monthly income is $600/20% = $3,000.
Pair 2 is true if Jeff's monthly income is $1200/10% = $12,000.
Both pairs can be true if Jeff's monthly income increased by a factor of 4 in the 20 years from 1990 to 2010.
Obviously, Jeff spent more on housing in 2010. (Fortunately for Jeff, that larger expenditure was a smaller fraction of his income.)
Answer:
3
lazy approach was with a graphic plotting program, but you can also calculate it. with the pq-formula.
p = -6
q = 9
x = -p/2 +- sqrt( (p/2)² - q)
x = -(-6)/2 +- sqrt ( (-6/2)² - 9)
x = 3 +- sqrt(9-9)
x = 3 +- sqrt(0)
x = 3 +- 0
x = 3
Hello from MrBillDoesMath!
Answer: f(x) = (2/3)*x -3 -- which is not a provided answer..
Discussion:
We are given that y + 7 = (2/3) * (x + 6). Multiply out the right hand side:
y + 7 = (2/3) * x + (2/3) * 6 = (2/3) *x + 12/3
= (2/3)*x + 4
Subtract 7 from both sides:
y + 7 - 7 = (2/3)*x + 4 - 7
or
y = (2/3)*x -3
Thank you,
MrB
y + 7= 2/3(x+6)
Answer:
WZ = 30
Step-by-step explanation:
set up equation based on WZ = W'Z'
3/4[6x + 10] = 13x - 35
multiply each side of equation by 4 to eliminate fractions:
18x + 30 = 52x - 140
-34x = -170
x = 5
substitute 5 for 'x' in either expression:
13(5) - 35
65 - 35 = 30
