21)
PT = TQ
Given PT = 4x - 6 and TQ = 3x + 4
so
4x - 6 = 3x + 4
Subtract 3x from both sides
4x - 6 - 3x = 3x + 4 - 3x
Simplifying
x - 6 = 4
Add 6 to both sides
x - 6 + 6 = 4 + 6
Simplifying
x = 10
PT = 4(10) - 6 = 40 - 6
PT = 34
Answer
PT = 34
ANSWER
EXPLANATION
The point-slope equation of a straight line is given by:
Where m is the slope.
The line goes through (-5,4) and (1,6).
The slope of this line is,
The point-slope equation is
Answer:
It is -1 with 1/2.
Step-by-step explanation:
Just divide the numbers by the totals to get the percentages
Answer:
Step-by-step explanation:
1.5 quarts of grape juice should be mixed with 3/4 quarts of water.
1.5 is the same as 3/2. Our ratio is 3/2 : 3/4
If we multiply everything by 4, things will get even easier to understand.
This gives us a ratio of (4 x 3/2) : (4 x 3/4)...
...or more simply put as 6 : 3
Which is even more simply put as 2:1
so for 15/4 we want
15/4 x 2 = 15/2
or 7.5 quarts if you want to express it once again as a decimal.
(We can also attack the problem by simply considering is all in decimals at the outset; 1.5 quarts grape mixed with 0.75 quarts of water. The 2: 1 relationship is quite obvious looking at this. Once again 15/4 x 2 = 15/2 or seven and a half quarts).