120 - 3/4y=60
lowest common multiple=4y
480y-3=240y
480y-240y=3
240y=3
y=3/240
y=1/80
Answer: y=1/80
Answer:
$3 for Syd and $5 for Mark
Step-by-step explanation:
when Mark worked 8 hours and Syd worked 10 hours they earned $80
when Mark worked 9h Syd worked 5h they earned $65
we can make a equation out of these information
8M + 10S = $80
9M + 5S = $65 we can use the systems of equations by eliminating method
multiply second equation by -2
-2 × (9M + 5S) = $65
-18M - 10S = -$130 now add up the new equation with the first one
8M + 10S - 18M - 10S = $80 - $130 (10S will eliminate -10S)
-10M = -$50
10M = $50
M = $5
we can use hourly rate we found for M (Mark) to find the hourly rate for S (Syd)
9×5 + 5S = $65
45 + 5S = $65
5S = $15
S = $3
Answer:
1) A. 5 + 2.75 * S ≤ 21
2) 5
Step-by-step explanation:
Well there is an initial price of $5 and $2.75 per stop, and she can only spend less than or equal to $21 we can make the following inequality,
5 + 2.75 * S ≤ 21,
<em>Meaning, Q.1 is A</em>
<em />
Now #2 is 5 stops because if we plug in 5 for s we get 18.75.
<em>Thus, the most amount of stops she can afford is 5.</em>
<em />
<em>Hope this helps :)</em>
Answer:the cost of one drink is $7
the cost of 1 bag of popcorn is $6.5
Step-by-step explanation:
Let x represent the cost of one drink.
Let y represent the cost of 1 bag of popcorn.
Aiden spends a total of $46.00 on 6 drinks and 1 bag of popcorn. This means that
6x + y = 46 - - - -- - - - - - -1
Jeremiah spends a total of $134.00 on 12 drinks and 8 bags of popcorn. This means that
12x + 8y = 134 - - - - - - - - 2
Multiplying equation 1 by 8 and equation 2 by 1, it becomes
48x + 8y = 368
12x + 8y = 134
Subtracting equation 2 from equation 1, it becomes
36x = 234
x = 234/36 = 6.5
Substituting x = 6.5 into equation 1, it becomes
6 × 6.5 + y = 46
39 + y = 46
y = 46 - 39 = 7
