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tester [92]
3 years ago
7

A person can pay 18$ for a membership at a museum and then go for just 1$ per visit. What is the maximum number of visits a memb

er of the museum can make for a total cost of 50$?
Mathematics
1 answer:
Studentka2010 [4]3 years ago
6 0
<h3>Answer: 32</h3>

==================================================

Work Shown:

Let

x = number of visits

y = total cost in dollars

The membership costs $18 no matter how many visits you do. If you make x visits, at $1 each, then it costs an additional 1*x = 1x = x dollars. This is added on top of the base membership fee. In total, we know that y = 18+x = x+18

We want the total y to be at most $50. Therefore y \le 50. The highest y can get is 50.

Let's replace y with x+18 and isolate x

y \le 50

x+18 \le 50 y is replaced with x+18

x+18-18 \le 50-18 subtract 18 from both sides

x \le 32

This tells us that we can make at most 32 visits. In other words, the maximum number of visits is 32.

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-0.75-(-2/5)+0.4+(-3/4)
RSB [31]

-0.75-(-2/5)+0.4+(-3/4) =  -0.7 simplified, how I got this answer can be found below in 16 steps.

1 - First thing we want to do is remove the parentheses.

-0.75 - (-2/5) + 0.4 - 3/4

2 - Then we simplify, multiply -1 by -1.

-0.75 + 1 (2/5) + 0.4 - 3/4

3 - Then multiply 2/5 by 1.

-0.75 + 2/5 + 0.4 - 3/4

4 - Then we want to write - 0.75/1 as a fraction with a common denominator, we do this by multiplying by 5/5.

-0.75/1 * 5/5 + 2/5 + 0.4 - 3/4

5 - Then we write each expression with a common denominator of 5, we multiply each one by a factor of one.

-0.75 * 5/1*5 + 2/5 + 0.4 - 3/4

6 - Then we multiply 5 by 1.

-0.75 * 5 / 5 + 2/5 + 0.4 - 3/4

7 - Then we combine the numerators over the common denominator.

-0.75*5+2/5+0.4-3/4

8 - We multiply -0.75 by 5.

-3.75 + 2/5 + 0.4 - 3/4

9 - Then we add -3.75 and 2.

-1.75/5+0.4-3/4

10 - And then we divide -1.75 by 5.

-0.35 + 0.4 - 3/4

11 - Then add -0.35 and 0.4.

0.05 - 3/4

12 - We then write 0.05/1 as a fraction with a common denominator, we do this via multiplying it by 4/4.

0.05/1 * 4/4 - 3/4

13 - Then we write each expression with a common denominator of 4, through multiplying each by a factor of 1.

0.05 * 4/4 - 3/4

14 - We combine the numerators over the common denominator.

0.05 * 4 - 3 / 4

15 - We simplify.

-2.8 / 4

16 - Then we divide -2.8 / 4

The final answer is -0.7

6 0
3 years ago
1. Jonathan can run 12 laps in 15 minutes, how long would it take him to run 4 laps?
lakkis [162]

Answer:

1.2

Step-by-step explanation:

4 0
2 years ago
1. Write an equation in slope-intercept form of the line that passes through the given point and is parallel to the graph of the
Sveta_85 [38]

Answer:

#1) y = -4x + 1; #2) parallel; #3) y = -1/2x + 5/2; #4) y = 2x + 4; #5) Never

Step-by-step explanation:

#1) We want a line that passes through (1, -3) and is parallel to y = 2-4(x-1).  First we simplify our equation using the distributive property:

y = 2-4(x-1) = 2-4(x) -4(-1) = 2-4x--4 = 2-4x + 4 = -4x + 6

Lines that are parallel have the same slope; this means we want a line through (1, -3) with a slope of -4.  Using point-slope form,

y-y_1=m(x-x_1)\\\\y--3=-4(x-1)\\\\y+3=-4(x)-4(-1)\\\\y+3=-4x+4\\\\y+3-3=-4x+4-3\\\\y=-4x+1

#2) We must first write our second equation in slope-intercept form by isolating the y term:

2x+y=7

Subtract 2x from each side"

2x+y-2x = 7-2x

y = -2x+7

This means the slope is -2; the slopes are the same, so the lines are parallel.

#3) The slope of our given equation is 2.  To be perpendicular, the second line must have a slope that is a negative reciprocal (flipped and opposite signs); this makes it -1/2.  Using point-slope form,

y-0=\frac{-1}{2}(x-5)\\\\y=\frac{-1}{2}(x)+\frac{-1}{2}(-5)\\\\y=\frac{-1}{2}x+\frac{5}{2}

#4) The slope of Main Street on the diagram, found by using rise/run, is 2.  This means the bike path will also have a slope of 2 in order to be parallel.  The park entrance is at (0, 4).  This makes the equation y = 2x+4.

#5) Two lines with the same slope are always parallel.  They are never perpendicular.

3 0
3 years ago
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Answer:

125

Step-by-step explanation:

5/4=x/100

x=500/4

x=125

4 0
2 years ago
What is minimal completion time for the activities in the graph below? In a complete sentence, explain how you got your answer
kupik [55]
The minimal completion time for the activities is the shortest possible time for all the activities to be finished. In doing this, we look at the path that would require the greatest amount of time. At the START node, we choose the path that would take the longest which is 7 days leading to ACTIVITY D. Next, we choose the path leading to ACTIVITY B which takes 5 days. Then, we move to ACTIVITY C taking 5 days and finally, reach the END which would take 6 days. So, the minimal completion time is:
7 + 5 + 5 + 6 = 23 days
6 0
3 years ago
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