Answer:
Betsy will save $121 in 5 weeks.
Step-by-step explanation:
We can see that Betsy's savings are 3 times the saving of her last week. We can see that this is an geometric sequence as 1,3,9,..
To find the sum of our geometric sequence we will use
, where n is number of terms we are taking sum of, a is first term of sequence and r is common ratio of the sequence.



Therefore, Betsy will save $121 in 5 weeks.
Answer:
<u>dollars per hour rate = $10</u>
<u>hours per dollar = 6 minutes 15 seconds</u>
Step-by-step explanation:
Take note that one is singular (dollar) without an 's', and the other is plural (dollars). Thus, since her dollars per hour rate tells us how much she will earn for each hour of work, we would expect her hours per dollar rate to tell us how much she has to work in minutes to earn a single dollar ($1).
If we divide
= $0.16 which indicates how much she earns for every minute she works at the theater. Further dividing this value into 1 minute we find the hour per dollar rate 1/0.16 = 6.25. minutes.
Using algebraic equations, the number of points Yael has is calculated as: 29 points.
<h3>How to Use Algebraic Equations to Solve Word Problems?</h3>
In the given world problem, we known the following:
E = Eric
S = Shenna
Y = Yael
Their total points would be: E + S + Y = 68
S = 2(E) (Shenna has twice the points of Erik)
Y = S + 3 (Yael has three points more than Shenna)
We would therefore have the following algebraic equation:
E + 2E + (S + 3) = 68
Substitute S with 2E
E + 2E + 2E + 3 = 68
Solve for E
5E + 3 = 68
5E = 68 - 3
5E = 65
5E/5 = 65/5
E = 13
Eric's points is: 13
Yael's points = Y = S + 3
Y = S + 3 = 2E + 3
Plug in the value of E
Y = 2(13) + 3
Y = 26 + 3
Y = 29
Yael has 29 points.
Learn more about algebraic equation on:
brainly.com/question/2164351
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Answer:
x = all real numbers, infinite solutions
Step-by-step explanation:
4(x-2) + 7 = 4x - 1
Distribute
4x -8+7 = 4x-1
Combine like terms
4x -1 = 4x-1
Subtract 4x from each side
4x-1 -4x = 4x-1-4x
-1 = -1
This is always true so there are infinite solutions for x
Answer:
2
Step-by-step explanation:
the y-intercept is where the line meets the y-axis