The value of an autographed baseball card increased from $39 to $65. What is the percent increase in value of the baseball card? Round to the nearest hundredth of a percent
Answer:
The percent increase in value of the baseball card is 66.667%
Step-by-step explanation:
You must first determine the amount of money increased by the value of an autographed baseball card. For this you must subtract the price with the applied increase and the original price of the card: $65-$39=$26
This will be the amount of increase. Then, one way to calculate the percentage increase in the value of the baseball card is through a direct rule of three.
The rule of three or is a way of solving problems of proportionality between three known values and an unknown value, establishing a relationship of proportionality between all of them. That is, what is intended with it is to find the fourth term of a proportion knowing the other three. Remember that proportionality is a constant relationship or ratio between different magnitudes.
If the relationship between the magnitudes is direct, that is, when one magnitude increases, so does the other (Or when one magnitude decreases, so does the other), the direct rule of three must be applied. To solve a direct rule of three, the following formula must be followed:
a ⇒ b
c ⇒ x
Then
[tex]x=\frac{c*b}{a}[/tex]
In this case, the rule of three applies as follows: If the original price ($ 39) represents 100%, what is the value of the percentage in the value of the baseball card when its value increases $ 26?
[tex]percentage=\frac{26*100}{39}[/tex]
percentage=66.667%
Another way of thinking about it is considering that:
change from the original price = percentage of change*original price
In this case: $26=percentage of change*$39
So, isolating the percentage of change you get:
[tex]percentage of change=\frac{26}{39} =0.66667[/tex]
This value is expressed in decimal, and for it to be expressed in fraction you must multiply it by 100 (100%). Then you get:
percentage of change=0.66667*100%
percentage of change=66.667%
Note that the value obtained is the same as in the previous case, so both ways of thinking the solution to this problem is correct
Finally, the percent increase in value of the baseball card is 66.667%
What simplified ratio correctly compares 10,000 centimeters to 1000 meters? Drag and drop the appropriate numbers into the boxes
For this case, the first thing we must do is to have the same units for both measures.
We have then that by definition:
[tex]1m = 100cm[/tex]
Therefore we have:
[tex]10,000cm * (\frac {1m} {100cm}) = 100m[/tex]
Then, we look for the relationship between both measures:
[tex](\frac {100m} {1000m})[/tex]
Simplifying we have:
[tex](\frac {1m} {10m})[/tex]
Answer:
The simplified ratio that correctly compares 10,000 centimeters to 1000 meters is:
[tex](\frac {1m} {10m})[/tex]
What is the simplified version of (9/2 x - 2) - (3/2 x + 1)
I think it’s b but I’m not sure... please show work I need help ASAP
One fourth of a box of cereal was shared equally among 3 people. How much cereal did each person get? Explain how you got your answer.
Travis works at a kite factory. He checks all the kites before they are packaged. Travis discovered that for every 28 kites that passed inspection, there were 7 kites that did not pass: 4 kites did not have tails and 3 kites had the wrong colors.
Of the 476 kites Travis examined, how many did not have tails and how many had the wrong colors?
If your pencils is 20 centimeters long how many millimeters is it
In which set do all of the values make the inequality 2x-1<10 true ? A)10-15-20. B)5-7-9 C)4-6-8. D)2-3-4
Answer:
Hence, the set of values that holds true is:
2-3-4
Hence, option: D is true.
Step-by-step explanation:
We are asked to find which set of the values make the following inequality:
2x-1<10 true.
i..e we will put the given set of value s in place of xx and check whether the value of 2x-1 is less than 10 or not.
If it is then the set of values hold true.
A)
10-15-20
put x=10
2x-1=2×10-1
=20-1
=19 which is not less than 10.
Hence, option: A is incorrect.
B)
5-7-9
when x=9
2x-1=2×9-1
=18-1
=17 which is not less than 10.
Hence, option: B is incorrect.
C)
4-6-8
when x=8
2x-1=2×8-1
=16-1
=15 which is again not less than 10
Hence, option: C is incorrect.
D)
2-3-4
when x=2
2x-1=2×2-1
=4-1
=3<10
when x=3
2x-1=2×3-1
=6-1
=5 < 10
when x=4
2x-1=2×4-1
=8-1
=7<10
Hence, option: D is true.
Hence, the set of values that holds true is:
2-3-4
Simplify 4x(2x3-7x2+x)
PLZ HELP ITS A MORE THAN ONE ANSWER A survey found that 50% of teenagers prefer to watch a movie at a theater over other viewing options. You want to know the estimated probability that three out of four randomly chosen teenagers do not prefer watching a movie at a theater. How could you design a simulation for this situation?
A.Flip a fair coin four times, with heads representing teenagers who prefer watching a movie at a theater and tails representing those who do not.
B.Pick a card from a deck of standard playing cards four times, with red suits representing those who prefer watching a movie at a theater and black suits representing those who do not.
C.Spin a spinner with four equal sections three times, with one section representing each person.
D.Roll a six-sided die four times, with even numbers representing those who prefer watching a movie at a theater and odd numbers representing those who do not.
E.Generate a set of four numbers using a number generator, with numbers 0 to 5 representing those who prefer watching a movie at a theater and 6 to 9 representing those who do not.
PLZ PICK THE RIGHT ONE AND ITS A MORE THAN ONE ANSWER
0.25 rounded to the nearest tenth
sketch the graph of y=x²+4x-5
Witch of the following could be a horizontal cross-section of a cylinder
A. hexagon
B. triangle
C. circle
D. octagon
Solve this please???????
I really need help with these questions!!!
Solve for x and y using elimination.
5x+2y=17
x-2y=8
A triangle undergoes a sequence of transformations. First, the triangle is dilated by a scale factor of 1/2 about the origin. Then the triangle is reflected over the x-axis. Finally, the triangle is translated left 2 units and up 4 units. How does the newly formed triangle compare to the original triangle?
The image of the triangle undergoes a transformation: (x, y) ⇒ [-(1/2)y - 2, (1/2)x + 4]
What is Dilation?Dilation is a process for creating similar figures by changing the size.
What is graph?A graph can be defined as a pictorial representation or a diagram that represents data or values.
What is scale image?Scale image is defined as a ratio that represents the relationship between the shape and size of a figure and the corresponding dimensions on the actual figure or object.
Transformation is the movement of a point from its initial location to a new location. Types of transformation include translation, reflection, rotation and dilation.
If a point A(x, y) is dilated by a factor p, the new point is at A'(px, py).
If a point A(x, y) is reflected over the x-axis, the new point is at A'(x, -y).
If a point A(x, y) is translated a units left and b units up, the new point is at A'(x - a, y + b).
The image of the triangle undergoes a transformation: (x, y) ⇒ [-(1/2)y - 2, (1/2)x + 4]
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Last two Pleaseeeeee
Which equation best represents a trend line for the scatter plot? These are fractions BTW.
y=−7/6x+55/6
y=−6/7x+62/7
y=7/6x+41/6
y=6/7x+50/7
The equation that best represents a trend line for the scatter plot is y=−7/6 x+55/6
What is the slope?The slope is the ratio of the vertical changes to the horizontal changes between two points of the line.
m = ( y₂ - y₁ ) / ( x₂ - x₁ )
where (x₁, y₁) and (x₂, y₂) are the two points that you are trying to find the slope between.
We are given the points (1, 8) and (7,1) on the scatter plot.
Therefore, the slope = (8-1)/(1-7) = -7/6
Now, the equation of line;
y = mx + b
b = y - mx
b = 8 - (-7/6)(1)
b = 8 + 7/6
b = 55/6
The equation becomes;
y = -7/6(x) + 55/6
The answer is y=−7/6 x+55/6
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32 girls and boys have planned for a walk. there is a ratio of 5 girls to 2 boys. how many boys are there
Amber had 3/8 of a cake left after her party. She wrapped a piece that was 1/4 of the original cake for her best friend. What fractional part did she have left for herself
What is the medium of 14.1,20.7,24.3,16.0,20.8
how do i solve 0.97 on a decimal number line?
a boy flies a kite with 100 foot long string. the angle of elevation of the string is 48. how high is the kite from the ground.
The height of the kite from the ground is approximately 74.2 feet, calculated using the trigonometric concept of sine. Sine of an angle in a right triangle is the ratio of the length of the side opposite the angle to the length of the hypotenuse.
Explanation:The subject of the question is the height of a kite, a topic in Trigonometry.Trigonometry deals with the relationships between the sides and angles of triangles. In this case, we're given that a boy is flying a kite with a 100 foot string at an angle of 48 degrees. We can use the concept of sine in Trigonometry, where sine of an angle in a right triangle is the length of the opposite side divided by the length of the hypotenuse.
In this case, the height of the kite from the ground forms the opposite side, the 100 foot string forms the hypotenuse, and the angle of elevation given is 48 degrees. We have the equation:
sin(48) = height / 100
Therefore, the height = sin(48) * 100.
Using a calculator to find the sine of 48 degrees, and then multiplying the result by 100, we get the height of the kite from the ground to be approximately 74.2 feet.
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Identify all of the characteristics listed below that are associated with Step 1 of the 4-Step Problem-Solving Method -- Understand the Problem. (4 answers. Identify all 4 options correctly to receive credit for your answer; just like on LEAP.)
Identify the important words and numbers in the problem
Perform this step last.
Perform this step first.
Identify any instructions that you are supposed to follow when solving (e.g., round, simplify, draw a graph of your answer, create a table to show your answer).
Identify what you are being asked to solve or find.
Develop your plan for solving the problem
Evaluate your solution
What would be the total cost of Annabel renting the surfboard for 6 hours
Answer:
its 54
Step-by-step explanation:
Molly invested $12,000 in an account with an interest rate of 6%. What is the amount in Molly's account after 6 years if the interest was compounded annually? A) $5,022.23 B) $17,022.23 C) $22,044.46 D) $170,222.26
The formula for compound interest is given by:
[tex] A = P (1+\frac{r}{n})^{nt} [/tex]
where ,
A= Amount,
P=Principal
r=rate of interest
n= number of times interest is compounded per year
t = time ( in years)
Plugging the values ,
P = $12,000
r=0.06
t=6 years
n=1(annually compounded)
Plugging these in the formula,
[tex] A = 12000 (1+\frac{0.06}{1})^{1*6} [/tex]
A =$17022.229 which is approximately 17022.23
Answer: Amount is option B. $17022.23
3200 g = how many kg explain please
The measures in the table describe the ages of students in a club.
Mean Median Mode Mean Absolute Deviation
13.3 13.5 14 0.67
Select from the drop-down menus to correctly complete each statement.
On average, the age of a student is about ____year(s) away from ____year(s).
If the MAD for another club was 1.5 years, then that club's ages would be than the ages for this club.
Answer:
more
Step-by-step explanation:
i know because i took the test 4 seconds ago
X^2 -9X = 0. Factor and use the Zero property to solve
Jade buys a blouse and a skirt for 34 of their original price. Jade pays a total of $31.50 for the two items. If the original price of the blouse is $18, what is the original price of the skirt? Enter your answer in the box.