Answer:
x > 2
Step-by-step explanation:
-1/2x + 6 < 4x - 3
Start by adding 1/2x to both sides to get both x's on the same side
6 < 4 1/2x - 3
Add 3 to both sides to keep the x's by themselves on one side
9 < 4 1/2x
Divide both sides by 4 1/2 to get x by itself
2 < x so x > 2
Answer:
a. 24
b. 12
Step-by-step explanation:
a. You can choose from 4 cities for the first performance, then from 3 cities, then from 2 cities, then the last city.
4 * 3 * 2 * 1 = 24
b. Think of the three performances in California as a unit. Within this unit, you can choose from 3 cities for the first one, then 2 cities for the second one, and finally 1 city for the last one.
3 * 2 * 1 = 6
Now you can have the 3 California performances first, followed by Denver, or Denver first followed by California.
6 * 2 = 12
If two triangles are similar then the
corresponding sides are in proportion. Thus,
AB / AU = BC / UV = AC / AV
AB / (20x+108) = 703 / 444
Where AB is equivalent to:
AB = AU + UB
AB = 20x + 108 + 273
AB = 20x + 381
Therefore going back to the first equation:
(20x + 381) / (20x + 108)
= 703/444
444 (20x + 381) = 703 (20x + 108)
8880x + 169164 = 14060x + 75924
14060x - 8880x = 169164 – 75924
5180 x = 93240
x = 93240 / 5180
<span>x = 18</span>
Answer:
37
Step-by-step explanation:
Using order of operations, multiplication is done before addition.
given
7 + 5 × 6 ← perform multiplication
= 7 + 30 ← do the addition
= 37
