Answer: 18°F
Step-by-step explanation: if you add 21 and -3 you get 18
Answer: it will take 4 games for both costs to be the same.
Step-by-step explanation:
Let x represent the number of games that must be bowled before the costs become the same.
At Paul's bowling alley,it costs 4.00 to rents shoes and 3.50 to bowl each game. This means that the cost of bowling x games at Paul's bowling alley would be
3.5x + 4
At Maggie's bowling alley, it costs 3 to rent shoes and 3.75 to bowl each game. This means that the cost of bowling x games at Maggie's bowling alley would be
3.75x + 3
Therefore, for the costs to be the same, the number of games would be
3.5x + 4 = 3.75x + 3
3.75x - 3.5x = 4 - 3
0.25x = 1
x = 1/0.25 = 4
Answer:
A and B and C and D
Step-by-step explanation:
Letters
You're looking for a number <em>w</em> such that the numbers
{1 + <em>w</em>, 7 + <em>w</em>, 15 + <em>w</em>}
form a geometric sequence, which in turn means there is a constant <em>r</em> for which
7 + <em>w</em> = <em>r</em> (1 + <em>w</em>)
15 + <em>w</em> = <em>r</em> (7 + <em>w</em>)
Solving for <em>r</em>, we get
<em>r</em> = (7 + <em>w</em>) / (1 + <em>w</em>) = (15 + <em>w</em>) / (7 + <em>w</em>)
Solve this for <em>w</em> :
(7 + <em>w</em>)² = (15 + <em>w</em>) (1 + <em>w</em>)
49 + 14<em>w</em> + <em>w</em> ² = 15 + 16<em>w</em> + <em>w</em> ²
2<em>w</em> = 34
<em>w</em> = 17
Then the three terms in the sequence are
{18, 24, 32}
and indeed we have 24/18 = 4/3 and 32/24 = 4/3.