#27.
First cross multiply
2 (2a-3) = 3 (a-1)
next use the distribute property on both sides
4a - 6 = 3a - 3
combine like terms, subtract 3a from both sides and add 6 to both sides
a = 3
#28
cross multiply
3x = 4, then divide both sides by 3
x = 4/3
#30
add 1/4 to both sides
3/x = 1/2 + 1/4, find a common denominator for the right side fractions
3/x = 2/4 + 1/4 = 3/4
therefore, x = 4
Answer:
y = -5/3 x + 40
Step-by-step explanation:
The general form is y = ax + b, where a is the slope and b is the y intercept.
So immediately you can see that b must be 40, since the line crosses the y axis at 40.
The slope can be calculated by finding two "nice" points on the line that are also grid lines.
How about (0,40) and (6, 30).
Then, calculate the slope by dividing the y difference by the x difference:
(30-40)/(6-0) = -10/6 = -5/3
So C must be the answer.
Answer:
Step-by-step explanation:
b/c we know that these triangles both have equal sides... that is given that <u>ab</u> and<u> be</u> are the same length. and that <u>be </u>and <u>cd</u> are parallel , we know that they both are isosceles triangles and that the base angles are the same. The side on <u> ad </u>and<u> ae</u> have equal angles.
so we can make the equation
2a +56 = 180 (b/c we know that around a triangle it's 180°
2 a = 124
a = 62
so ∠ BAE = 62°
:)
Answer:
If there are 5000 bacteria in a colony right now, there will be 5000x2, or 10000 bacteria in the colony in 37 minutes.
If there are 10000 bacteria in the colony in 37 minutes, there will be 20000 bacteria in the colony in 74 minutes, as the bacteria doubles every 34 minutes.
Let me know if this helps!
