For this case, the first thing we must do is calculate the total profit.
We have then:
[tex] P = 850 - 500 [/tex]
[tex] P = 350 [/tex]
Then, we look for the number of coins.
For this, we need the total profit (which we already calculate) and the amount of profit per coin.
We have then:
[tex] N = \frac{350}{50} [/tex]
[tex] N = 7 [/tex]
Answer:
The amount of coins that was on the set is:
[tex] N = 7 [/tex]
Final answer:
The coin collector bought and sold a set of coins, making a total profit of $350. Dividing this profit by the $50 profit per coin reveals that there were 7 coins in the set.
Explanation:
The coin collector made a profit of $50 per coin by selling a set of coins. To find out how many coins were in the set, we need to calculate the total profit made from selling the coins and then divide that by the profit per coin.
The total profit is the selling price minus the buying price, so $850 - $500 = $350. If the collector made $50 profit per coin, then the number of coins in the set can be found by dividing the total profit by the profit per coin: $350 / $50 per coin = 7 coins.
When BA = 10 ft, find the area of the region that is NOT shaded. Round to the nearest whole number.
A) 52 ft^2
B) 262 ft^2
C) 43 ft^2
D) 305 ft^2
Graph the line y = -1/4x+2.
a. Sketch the line that is perpendicular to y = -1/4x+2 that passes through the point (5,5)
b. Write the equation of the perpendicular line.
c. Where do the lines intersect?
Use graphs and tables to find the limit and identify any vertical asymptotes of the function
lim x->4^- x/x-4
A house cost $120,000 when it was purchased. The value of the house increases by 10% each year. Find the rate of growth each month and select the correct answer below.
Why is the mean greater than the median in right skewed?
The two-way table shows the number of students in a school who have hamsters and/or dogs as pets.
Have Hamsters
Do Not Have Hampsters
Total
Have Dogs
16
24
40
Do Not Have Dogs
25
35
60
Total
41
59
100
How many more students have hamsters than dogs?
1
5
8
9
Answer:
1
Step-by-step explanation:
There are a total of 16+25 = 41 students that own hamsters.
There are a total of 16+24 = 40 students that own dogs.
This is a difference of 41-40 = 1.
Answer: 1
Step-by-step explanation:
Total number of students that own hamsters 16+25 = 41.
Total of students that own dogs 16+24 = 40.
To get how many more students own hamsters than dogs, we find the difference;
That is 41-40 = 1.
Good luck
Find the distance between the points with coordinates (5, 7) and (-3, 1)
Find the constant sum for an ellipse with foci F1 (0, -12), F2 (0, 12) and the point on the ellipse (9, 0).
What is the perimeter of a square with a side length of 5x -8 and a bottom length of 3x of a square?
The required perimeter of the square is 48 units as of the given condition.
Given that,
The perimeter of a square with a side length of 5x -8 and a bottom length of 3x of a square is to be determined.
Perimeter is the measure of the figure on its circumference.
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
The length of all sides of the square is always remains equal,
5x - 8 = 3x
2x = 8
x = 4
Side length,
3x = 3(4) = 12
Now,
The perimeter of the square is 4-time sides,
Perimeter = 4 (12)
Perimeter = 48 units.
Thus, the required perimeter of the square is 48 units as of the given condition.
Learn more about perimeter here:
brainly.com/question/6465134
#SPJ5
What are the rules for adding and subtracting negative numbers?
The senior classes at High School A and High School B planned separate trips to New York City. The senior class at High School A rented and filled 6 vans and 8 buses with 202 students. High School B rented and filled 12 vans and 10 buses with 284 students. Each van and each bus carried the same number of students. How many students can a van carry?How many students can a bus carry? please show work thank you.
Estimate 12.56+12.69 using front-end estimation.
A. about $25.30
B. about $26.30
C. about $26.80
D. about $23.80
juanita and lauren are painting a circular mural on one wall of the community center the area of the mural is 88 square meters what is the radius.
Answer:
Radius of circular mural = 5.29 m
Step-by-step explanation:
Area of circle is given by πr².
Juanita and Lauren are painting a circular mural on one wall of the community center the area of the mural is 88 square meters
Area of circle = 88 square meters
That is
πr² = 88
[tex]r^2=\frac{88}{\pi}=28.01\\\\r=5.29m[/tex]
Radius of circular mural = 5.29 m
A number is *K* units to the left of 0 on the number line. Describe the location of its opposite
The base of a pyramid covers an area of 13.3 acres (1 acre = 43,560 ft2) and has a height of 473 ft. if the volume of a pyramid is given by the expression v = bh/3, where b is the area of the base and h is the height, find the volume of this pyramid in cubic meters.
Determine algebraically whether the function is even, odd, or neither even nor odd.
f as a function of x is equal to 2 divided by x squared.
Neither
Even
Odd
Answer:
Even
Step-by-step explanation:
A function is said to be even function if we put -x instead of x and we get the same result of both function. i.e. f(-x) = f(x)
A function is said to be odd function if we put -x instead of x and we get the result as negative of that function. i.e. f(-x) = -f(x)
Now we have function, f(x) = [tex]f(x) = \frac{2}{x^{2}}[/tex]
Now putting -x in place of x
[tex]f(-x) = \frac{2}{(-x)^{2}}\\ = \frac{2}{x^{2}} = f(x)[/tex]
Hence, given function is an Even function.
Mark owns Siberian Husky sled dogs. He knows from data collected over the years that the weight of the dogs is a normal distribution. They have a mean weight of 52.5 lbs and a standard deviation of 2.4 lbs. What percentage of his dogs would you expect to have a weight between 47.7 lbs and 54.9 lbs?
To calculate the percentage of dogs with a weight between 47.7 lbs and 54.9 lbs, we need to use the properties of the normal distribution. We can expect that around 82.7% of Mark's dogs would have a weight within this range.
Explanation:To calculate the percentage of dogs with a weight between 47.7 lbs and 54.9 lbs, we need to use the properties of the normal distribution. We know that the mean weight is 52.5 lbs and the standard deviation is 2.4 lbs.
First, we need to standardize the lower and upper bounds of the weight range using the formula: z = (x - mean) / standard deviation. For the lower bound, z = (47.7 - 52.5) / 2.4 = -1.96. For the upper bound, z = (54.9 - 52.5) / 2.4 = 1.
Next, we can use a standard normal distribution table or calculator to find the percentage of values between -1.96 and 1. The percentage is approximately 82.7%. Therefore, we can expect that around 82.7% of Mark's dogs would have a weight between 47.7 lbs and 54.9 lbs.
Using the normal distribution, calculations of z-scores, and a z-table to determine probabilities, we can expect approximately 81.85% of Mark's Siberian Husky sled dogs to weigh between 47.7 lbs and 54.9 lbs.
Explanation:To determine the percentage of Mark's Siberian Husky sled dogs that weigh between 47.7 lbs and 54.9 lbs, we need to use the properties of the normal distribution. The mean weight of the dogs is 52.5 lbs and the standard deviation is 2.4 lbs. We can calculate the z-scores for 47.7 lbs and 54.9 lbs:
Z = (X - μ) / σ
For 47.7 lbs:
Z1 = (47.7 - 52.5) / 2.4 ≈ -2.0
For 54.9 lbs:
Z2 = (54.9 - 52.5) / 2.4 ≈ 1.0
Using a z-table or a statistical software, we can find the probabilities corresponding to these z-scores. The probability between Z1 and Z2 is the area under the curve in this range.
The probabilities associated with the z-scores are approximately 2.28% for Z1 (< -2.0) and 84.13% for Z2 (< 1.0). To find the percentage between Z1 and Z2, we subtract the smaller percentage from the larger one:
Percentage between 47.7 lbs and 54.9 lbs = 84.13% - 2.28% = 81.85%
Thus, we would expect that 81.85% of Mark's dogs have a weight between 47.7 lbs and 54.9 lbs.
The function F(x) = 6x-2/5 is an example of a rational function.
A. True
B. False
The function F(x) = (6x-2)/5 is an example of a rational function.
Explanation:The function F(x) = (6x-2)/5 is an example of a rational function. A rational function is a function that can be expressed as the quotient of two polynomial functions, where the denominator is not equal to zero.
In this case, the function F(x) has a numerator of 6x-2 and a denominator of 5. Both the numerator and denominator are polynomial functions since they involve multiplication, addition, and subtraction of terms with x.
Therefore, the function F(x) = (6x-2)/5 is indeed a rational function, so the correct answer is True.
The function F(x) = (6x-2)/5 is an example of a rational function because it can be expressed as a ratio of two polynomials.
Function F(x) = (6x-2)/5 is an example of a rational function because it is a ratio of two polynomials. The numerator, 6x-2, is a linear polynomial, and the denominator, 5, is a constant polynomial.
To determine if a function is rational, we check if the function can be expressed as a quotient of two polynomials. In this case, F(x) is a ratio of a linear polynomial, 6x-2, and a constant polynomial, 5.
Therefore, the statement is True.
STVU is an isosceles trapezoid. If SV = 3x + 1 and TU = x + 21, find the value of x.
Answer:
The value of x is 10.
Step-by-step explanation:
Given information: STVU is an isosceles trapezoid, SV = 3x + 1 and TU = x + 21.
According to the properties of isosceles trapezoid, then diagonals of an isosceles trapezoid are equal.
SV and TU are diagonals of the isosceles trapezoid, so
[tex]SV=TU[/tex]
[tex]3x+1=x+21[/tex]
Separate like terms.
[tex]3x-x=21-1[/tex]
[tex]2x=20[/tex]
Divide both sides by 2.
[tex]x=10[/tex]
Therefore the value of x is 10.
what is the answer to this equation 2(3-X)=-16
Koch's kinky curve is created by starting with a straight segment and replacing it with four segments, each 1/3 as long as the original segment. So, at the second stage the curve has three bends. At the next stage, each segments replaced by four segments, and so on. How many bends does this curve have at the third stage? The fourth stage? The nth stage?
Evaluate the function f(x) = 4x -1 when x= -1 ..... f(-1) =___
To evaluate the function f(x) = 4x - 1 for x=-1, you first substitute -1 into the equation, then perform multiplication before subtraction as per the order of operations resulting in f(-1) = -5.
Explanation:To evaluate the function f(x) = 4x - 1 when x is -1, we simply replace the variable x in the equation with -1. The equation becomes f(-1) = 4(-1) - 1.
Now to perform the operations indicated in the equation, we should start with multiplication before subtraction according to the order of operations.
The multiplication of 4 and -1 gives -4 so the equation becomes f(-1) = -4 - 1.
Finally subtracting 1 from -4 gives -5. Therefore, f(-1) = -5.
Learn more about Function Evaluation here:https://brainly.com/question/12056604
#SPJ2
Does any one know how to solve this -4n^2-2n=-6-7n-5n^2
An elevator descends into a mine shaft at the rate of 6 m/min. If the descendstarts from 20 meter above the ground level, how long will it take to reach - 340m?
A copy center offers its customers two different pricing plans for black and white photocopies of 8.5 in. by 11 in. pages. Customers can either pay $0.08 per page or pay $7.50 for a discount card that lowers the cost to $0.05 per page. Write and solve an equation to find the number of photocopies for which the cost of each plan is the same.
A) .08c .05c - 7.50; c = 250
B) . 05c .08c + 7.50; c = 22.5
C) 7.50 = .08c + 05c; c = 58
D) .08c = .05c + 7.50; c = 250
Answer: Writting the equation and solving it, the answer is option D) .08c = .05c + 7.50; c = 250
Solution:
If the number of photocopies is c
Plan 1: Customers can pay $0.08 per page
The cost with plan 1 is: C1=0.08c
Plan 2: Customers can pay $7.50 for a discount card that lowers the cost to $0.05 per page.
The cost with plan 2 is: C2=7.50+0.05c
We want to find the number of photocopies for which the cost of each plan is the same, then we equal the cost of each plan:
C1=C2
Replacing C1 by 0.08c and C2 by 7.50+0.05c
0.08c=7.50+0.05c
Solving this equation for c: Subtracting 0.05c both sides of the equation:
0.08c-0.05c=7.50+0.05c-0.05c
Subtracting:
0.03c=7.50
Dividing both sides of the equation by 0.03
0.03c/0.03=7.50/0.03
c=250
Answer:
.08c = .05c + 7.50; c = 250
Step-by-step explanation:
i got a 100 on the test trust!
A cylinder has a radius of 1 inch and height of 1 inch.
What is the approximate volume of a cylinder?
volume = PI * radius^2* height
3.14 x 1^2 x 1
v=3.14 cubic inches
Work the following pricing problems for services rendered. (For all calculations use hundredths.)
Labor time = 8 hours
Overhead rate = 65%
Retail price of parts = $98.70
Total cost of job = $242.58
What is hourly rate for labor?
a=27.67
b=13.32
c=10.90
d=117.08
Answer:
10.90
Step-by-step explanation:
Syreeta wants to buy some cds, each costing $14, and a dvd that costs $23. she has $65 to spend. write an equation to find how many cds she can buy
Answer:
14x+23y=65
Step-by-step explanation:
let cds=x and dvds=y
14x+23y=65
(05.02)
Two quantities are related, as shown in the table:
x
y
2 3
4 4
6 5
8 6
Which equation best represents the relationship?
y = 1 over 2 x + 2
y = 1 over 2 x + 1
y = x + 2 y = 2x + 1
first equation y=1/2x +2
x=2 = 1/2(2) +2 =1+2 =3
x=4 = 1/2(4)+2 = 2+2 =4
first equation is the answer
Answer:
[tex]y=\dfrac{1}{2}x+2[/tex]
A is correct
Step-by-step explanation:
Given: Table of x and y
x : 2 4 6 8
y : 3 4 5 6
Using two point find the slope:
(2,3) and (4,4)
[tex]Slope=\dfrac{4-3}{4-2}[/tex]
[tex]\text{Slope }=\dfrac{1}{2}[/tex]
Now we find slope using last two point
(6,5) and (8,6)
[tex]\text{Slope }=\dfrac{6-5}{8-6}[/tex]
[tex]\text{Slope }=\dfrac{1}{2}[/tex]
Slope is equal. Thus, The given relation is linear.
[tex]y-3=\dfrac{1}{2}(x-2)[/tex]
[tex]y=\dfrac{1}{2}x+2[/tex]
Hence, The relation represents a linear equation [tex]y=\dfrac{1}{2}x+2[/tex]
Solve for w. 3w – 10 = -w – 8 + 3w