Inequalities will have a <, >, <=, =>, = or will be worded as "Less than", "greater than", etc.
Equations must have mathematical functions and equal sign.
15=3x is an equation since 3x = 3*x
Finally, expressions are mathematical functions that have no equal signs.
Answer:
Option A. 3.5x + 15 ≥ 55
Step-by-step explanation:
Points Rosh received for becoming a member = 15
Points Rosh received for visiting the moving theater = 3.5
Total points needed for a free movie ticket = 55
For each visit he receives 3.5 points, so for x visits he will receive 3.5x points.
Total points = Points received on becoming a member + Points received on x visits
So,
Total Points = 15 + 3.5x
These points must be at least 55 for a free movie ticket. At least means equal to or greater than. So the total points must be equal to or greater than 55 in order to earn a free movie ticket. This can be expressed as:
3.5x + 15 ≥ 55
So, option A gives the correct answer
The given sequence is a geometric sequence. The property of geometric sequence is that each term is multiplied by a specific number known as "common ratio" to get the next term. In this case the common ratio is 1/2.
2 x 1/2 = 1
1 x 1/2 = 1/2
1/2 x 1/2 = 1/4
and so on..
Answer:
117
Step-by-step explanation:
Let d represent the number of stamps Derek had at first. After he gave 1/9 of his stamps to Ahmad, Ahmad had (d -104) +(d/9). Derek had 4 times this number after giving away d/9 stamps:
(d -d/9) = 4((d -104) +d/9)
(8/9)d = 4d -416 +(4/9)d
416 = (32/9)d . . . . add 416 -8/9d
117 = d . . . . . . . . . . multiply by 9/32
Derek had 117 stamps at first.
_____
<em>Check</em>
1/9 of Derek's collection is 13 stamps. 104 less than Derek's collection is 13 stamps.
So, Ahmad started with 13 stamps and was given 13 stamps by Derek. Meanwhile, Derek started with 117 stamps and gave away 13, so ended with 104 stamps. That number (104) is 4 times Ahmad's new number (26), as it should be.
