Answer:
Step-by-step explanation:
The statement "One-fourth more than a number is equal to two-thirds" can be expressed in the mathematical form as given below:
Let the number be x.
Therefore, One-fourth more than a number =
Now,
This is the required answer.
9514 1404 393
Answer:
BC = 6
Step-by-step explanation:
Tangents from the same point are congruent, so ...
2x = x+3
x = 3 . . . . . . . subtract x
BC = x+3 = 3+3 = 6 . . . . . . substitute for x
The length of BC is 6.
Answer: Length is 16 ft. Width is 5 feet.
Step-by-step explanation: Take the information given and write an equation. "Length decreased by 3 is 1" becomes L - 3w = 1 .
"Solve" for L. L= 3w +1
Write another equation for the formula of a perimeter. P=2L + 2w.
Substitute the values for L (from the first "solution" you wrote) and P (42 ft, given).
42 = 2(3w +1) + 2w. Solve this.
42= 6w +2 + 2w
42= 8w +2. Subtract 2 from both sides then divide both sides by 8.
W = 5
Substitute that into the first equation you wrote to get the Length.
L - 3(5) = 1
L -15 = 1. L = 1+15
L = 16
Answer:
y = -6x + 78
Step-by-step explanation:
y = mx + b
Use our known X Y and M values...
42 = -6 (-6) + b
42 = -36 + b
+ 36 to both sides
78 = b
Therefore,
Y = -6x + 78
Answer:
1/728
Step-by-step explanation:
333/242424 =
1/728