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IgorLugansk [536]
3 years ago
7

Konrad has $500 in a savings account at the beginning of the summer. He wants to have more than $200 in the account by the end o

f the summer. He withdraws $25 each week for food, clothes, and movie tickets. How many weeks can Konrad withdraw money from his account?
Mathematics
1 answer:
yuradex [85]3 years ago
8 0

Answer:

Step-by-step explanation:

He has $500 to start with, and he takes $25 out of the account each week. But he wants more than 200 in his account by the end of summer. 25 goes into 500 20 times. But if he wanted more than 200 left, like 300-400, he could spend 4 week's worth of money to have 400 left, or 8 weeks to have 300 left. This is the best-case scenario.

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Determine if the solution set for the system of equations shown is the empty set, contains one point or is infinite.
PolarNik [594]

Answer:

  one point

Step-by-step explanation:

A system of two linear equations will have one point in the solution set if the slopes of the lines are different.

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When the equations are written in the same form, the ratio of x-coefficient to y-coefficient is related to the slope. It will be different if there is one solution.

  • ratio for first equation: 1/1 = 1
  • ratio for second equation: 1/-1 = -1

These lines have <em>different slopes</em>, so there is one solution to the system of equations.

_____

<em>Additional comment</em>

When the equations are in slope-intercept form with the y-coefficient equal to 1, the x-coefficient is the slope.

  y = mx +b . . . . . slope = m

When the equations are in standard form (as in this problem), the ratio of x- to y-coefficient is the opposite of the slope.

  ax +by = c . . . . . slope = -a/b

As long as the equations are in the same form, the slopes can be compared by comparing the ratios of coefficients.

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If the slopes are the same, the lines may be either parallel (empty solution set) or coincident (infinite solution set). When the equations are in the same form with reduced coefficients, the lines will be coincident if they are the same equation.

8 0
2 years ago
The third graders at Grace Hardeman Elementary want to play kickball. There are 20 students, and each team will have 5 students.
Julli [10]

Answer:

D

Step-by-step explanation:

If there are 20 students, and each team has 5 students, then there will be 4 teams of third graders that will play kickball.

20/5 = 4

5 0
2 years ago
There is no solution to the equation sec x = 0
kondaur [170]
The correct answer for the given statement above would be TRUE. It is true that there is no solution to the equation sec x = 0. Why?
<span>Sec(x) is actually 1/cos(x), which can't be absolute zero. Cos(x) ranges between -1 and 1; it would have to be unbounded for sec(x) to reach 0, or in short, it is undefined. Hope this answer helps. </span>
3 0
3 years ago
Expand the brackets and simplify the equation: <br> 8(5 c-2) + 7
valkas [14]
Is this what you are looking for? I hope this helps!

5 0
1 year ago
Read 2 more answers
These box plots show the basketball scores for two teams.
Arisa [49]

The most appropriate statement is the interquartile range for the Wolverines, 30 is less than the IQR for the panthers, 40.

<h3>What is the correct statement?</h3>

The box plot is used to show the distribution of data. The box plot can be used to determine the range, interquartile range and median of the data set.

The range is the difference between the two ends of the whiskers.

Range for the Wolverines = 96 - 35 = 61

Range for the Panthers = 107 - 33 = 74

The interquartile range is the difference between the first and third lines on the box

IQR for the Wolverines = 85 - 55 = 30

Range for the Panthers = 90 - 50 = 40

To learn more about box plots, please check: brainly.com/question/1523909

#SPJ1

6 0
2 years ago
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