Question:
If a stack of 40 nickels fits snugly in the coin wrapper shown, how thick is 1 nickel? Round to the nearest hundredth.
Coin wrapper volume = 27,480 mm^3
Coin diameter = 21.18 mm
Answer:
The thickness of a coin is: 1.95mm
Step-by-step explanation:
Given
[tex]V = 27480mm^3[/tex] -- volume
[tex]d = 21.88mm[/tex] --- the diameter
Required
The thickness of each coin
This implies that, we calculate the height of each coin.
First, calculate the radius (r) of the coin
[tex]r = \frac{1}{2}d[/tex]
[tex]r = \frac{1}{2} * 21.18mm[/tex]
[tex]r = 10.59mm[/tex]
The volume of the coin is calculated as:
[tex]V =\pi r^2H[/tex]
Where H represents the total heights of the 40 coins
[tex]27480 = 3.14 * 10.58^2 * H[/tex]
Solve for H
[tex]H = \frac{27480 }{ 3.14 * 10.58^2}[/tex]
[tex]H = \frac{27480 }{ 351.480296}[/tex]
[tex]H = 78.1836145944[/tex]
The height of a coin is calculated by dividing H by 40
[tex]h = \frac{78.1836145944}{40}[/tex]
[tex]h = 1.95459036486[/tex]
[tex]h \approx 1.95mm[/tex]
Hence, the thickness of a coin is: 1.95mm
I'll give you brainiest if you help me.
Answer:
88 degrees.
Step-by-step explanation:
Since AB is equal to BC, ABC is an isosceles triangle. Therefore, the angle of B will be 180-39-39=102 degrees. As the angle of a straight line is 180 degrees, take 180-102-32=46 degrees. This 46 degrees is angle B. Since DEB is an isosceles triangle, 180-46-46=88 degrees. 88 degrees is angle E which is your answer. Edit: (Just added on the explanation.)
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Answer:
According to two brainly answer choices it should be Choice A.
15/6
Step-by-step explanation:
SOURCES:
https://brainly.com/question/16451231
https://brainly.com/question/16811984
THIS IS THE WORK OF ANOTHER BRAINLY USER NOT MINE
In this question, we are to get the total number of hours that Irina used in watching the movie which does not include the term used for airing the commercials.
Now to calculate this, let us first take a look at the shaded segmented bar. We can see that out of the 6 horizontal bars, 5 were shaded. What this means is that 5/6 of the hours went into airing the movie while 1/6 of the hour went into airing commercials
Now, mathematically the number of hours she viewed the movie without the commercials can be calculated by adding all these 5/6 hour in the 3 hours
Mathematically that would be 5/6 + 5/6 + 5/6 = 3 (5/6) or simply 3 * 5/6 = 5/2 = 15/6 hours
9y - 2x = 0 in slope intercept form.
Answer:
y=2/9x
Step-by-step explanation:
I hope this helps
Step-by-step explanation:
9y-2x=0
9y=2x
y=(2/9)x
what's the area of the circle
Answer:
3.14
Step-by-step explanation:
Kaylee read 19 1/2 pages in 3/4 of an hour. If she continues reading at the same rate,
how many pages will she read in an hour?
Answer: The answer is 26.
Step-by-step explanation:
Simple, find the unit rate. That's 19.5 / 0.75 = 26.
or using fractions:
19 2/4 divided by 3/4
78/4 divided by 3/4
78 / 3 = 26
4 / 4 = 1
Unit rate = 26books/1 hour
please show all work
Answer:
[tex]x=21.6[/tex]
Step-by-step explanation:
Use the Pythagorean theorem to solve this problem. The Pythagorean theorem states the following,
[tex]a^2 + b^c = c^2[/tex]
Where (a) and (b) are the legs or the sides adjacent to the right angle, and (c) is the hypotenuse or the side opposite the right angle.
Use the Pythagorean theorem in the right triangle with legs (15) and (18),
[tex](15)^2+(18)^2=c^2\\\\225 + 324=c^2\\\\549=c^2\\\\\sqrt{549}=c[/tex]
Use the Pythagorean theorem again in the right triangle with the legs (18) and (x)
[tex](x)^2+(18)^2=c^2\\\\\sqrt{x^2+324}=c[/tex]
Use the Pythagorean theorem one final time in the larger triangle,
[tex](\sqrt{x^2+324})^2+(\sqrt{549})^2=(x+15)^2\\[/tex]
Simplify, remember that anything to the power (2) is equal to the base (number under the exponent) times itself,
[tex]x^2+324+549=x^2+30x+225[/tex]
[tex]x^2+873=x^2+30x+225[/tex]
Inverse operations,
[tex]x^2+873=x^2+30x+225\\-x^2\\\\873=30x+225\\-225\\\\648=30x\\/30\\\\\frac{648}{30}=x\\\\21.6=x[/tex]
The Diaz family bought 7 bags of cookies. Each bag had 14 cookies. They have since eaten 29 of the cookies. How many cookies do they have left?
Answer:
They have 69 cookies left.
Step-by-step explanation:
7 x 14 = 98
98 - 29 = 69
Which of these expressions would be the best estimate of the quotient 15 1/2 ÷ 3 2/3?
A. 15÷3
B. 15÷4
C. 16÷3
D. 16÷4
Answer:
D
Step-by-step explanation:
Because 15 1/2 ÷ 3 2/3 equals 4.22727272727 and 15 divided by 3 is 5, 15 divided b 4 = 3.75 16 divided by 3 is 5.33333333333 and 16 divided by 4 equals 4 so thats the closest answer
Hope this helps
John saved up enough money to buy a $20 can of shoe shine after paying for the $150 pair of Nikes. How much money did he save in all?
Answer:
170$
Step-by-step explanation:
150+20=170
Answer:
Step-by-step explanation:
170
Plss I need this rnnn
Answer:
25
Step-by-step explanation:
25 is the answer because the sum of angles add up to 90
Pls help me on this what is the correct answer
Answer:
C 61,705
Step-by-step explanation:
10.9% of 35,000 = 3,815
3,815 x 7 = 26,705 (interest is added per year and 3,815 is the interest amount)
35,000 + 26,705 = 61,705 ( the original loan plus the interest for 7 years)
SOMEONE PLS HELP ME FIND THE AREA OF THIS COMPOSITE FIGURE. ILL GIVE BRAINLIEST!
Please helppp thanksss
Tran is using a coordinate plane to design a treasure hunt for his students. The hunt begins at the flagpole at the origin. The first clue is hidden 5 units north of the flagpole. The second clue is located 6 units east of the flagpole. The final clue is located 5 units south of the flagpole. Plot the locations of the flagpole and the 3 clues on the coordinate plane and show the path students will follow from the flagpole to all three clues. . Each unit represents 50 feet. What is the shortest combined distance along the path from the flagpole to Clue 1 to Clue 2 and to Clue 3?
Answer:
The shortest combined distance along the path from the flagpole to Clue 1 to Clue 2 and to Clue 3 is approximately 1,031.025 feet
Step-by-step explanation:
The given coordinates of the clues for the treasure hunt are
The location of the first clue = 5 units north of the flag pole
The coordinates is (0, 5)
The location of the second clue = 6 units east of the flag pole
The coordinates is (6, 0)
The location of the final clue = 5 units south of the flag pole
The coordinates is (0, -5)
The flagpole is at the origin
The coordinates of the flagpole is (0, 0)
Each unit on the graph = 50 feet
From the drawing of the treasure hunt created with Microsoft Excel, the shortest distances between the clues are as follows;
The shortest distance between 2 points is a straight line
Therefore
The shortest length from the flagpole to Clue 1 = 5 - 0 = 5 units
The actual distance from the flagpole to Clue 1 = 5 units × 50 feet/unit = 250 feet
The length from Clue 1 to Clue 2= √(6² + 5²) = √(61) units
The actual distance from Clue 1 to Clue 2 = √(61) units × 50 feet/unit = 50·√61 feet
By similarity, the actual distance from Clue 2 to Clue 3 = 50·√61
The combined shortest distance along the path from the flagpole to Clue 1 to Clue 2 and to Clue 3 = (250 + 50·√61 + 50·√61) feet ≈ 1,031.025 feet
please help me !!!!!!!!!!!!
Answer:
The answer is D
Step-by-step explanation:
A 180 rotation on 1,1 which is the center will rotate it onto itself.
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4 = 4 ( x + 10 ) solve for x
Answer:
x = -9
Step-by-step explanation:
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Answer:
x = -9
Step-by-step explanation:
4 = 4(x + 10)
=> 4/4 = x + 10
=> 1 = x + 10
=> x + 10 = 1
=> x = 1 - 10
=> x = -9
HELP ASAP!!!
Two random samples were taken to determine how often people in a community listen to the local radio station each month.
The first sample surveyed 15 people as they exited the bank on Main Street. The first sample found that the mean number of hours they listened to the radio each month was 20.
The second sample surveyed every sixth person as they exited the only local grocery store until 100 people were surveyed. The second sample found that the mean number of hours they listened to the radio each month was 12.
Which statements are true? Check all that apply.
The second sample is random.
The second sample is likely to be more representative of the population.
The first sample is likely to be more representative of the population.
The second sample will give a better representation because is it larger.
The first sample will give a better representation because it is smaller.
Community members are more likely to listen to the radio station an average of 12 hours a month than 20 hours a month.
Answer:
The answers to this question are 1,2,4,6. Hope this helps you
Step-by-step explanation:
Alice found the area of the figure by breaking apart it apart where the dashed line is drawn. Her work is shown below. area of rectangle = bh = 6(2) = 12 mm2 area of triangle = bh = 2(2) = 4 mm2 area of figure = 12 + 4 = 16 mm2 A figure can be broken into a rectangle and triangle. The rectangle has a base of 6 millimeters and height of 2 millimeters. The triangle has a base of 2 millimeters an height of 2 millimeters. What error did Alice make? She didn’t use the correct formula for area of a triangle. She didn’t use the correct formula for area of a rectangle. She didn’t find the height of the triangle correctly. She didn’t add the areas of the triangle and rectangle correctly.
Answer:
She didn’t use the correct formula for area of a triangle.
Step-by-step explanation:
edg 2021 Sorry for the late answer.
En una carrera participaron 7000 personas entre hombres y mujeres y 5000 personas entre mujeres y niños. Si han corrido 3000 mujeres ¿cuantas mujeres participaron en total?
Answer:
9000 personas en total participaron de la carrera.
Step-by-step explanation:
En este caso, planteo las siguientes variables:
x: cantidad de hombres que participaron de la carrera.y: cantidad de niños que participaron de la carrera.En una carrera participaron 7000 personas entre hombres y mujeres. Si han corrido 3000 mujeres, entonces se puede interpretar mediante la siguiente expresión:
3000 + x= 7000
Entonces, resolviendo se obtiene que participaron la siguiente cantidad de hombres:
x= 7000 - 3000
x= 4000
En la carrera también participaron 5000 personas entre mujeres y niños. Entonces se puede interpretar mediante la siguiente expresión:
3000 + y= 5000
Resolviendo se obtiene que participaron la siguiente cantidad de niños:
y= 5000 - 3000
y= 2000
Para calcular la cantidad de personas en total que participaron de la carrera, debes sumar la cantidad de hombres, mujeres y niños. Esto es:
4000 hombres + 3000 mujeres + 2000 niños= 9000 participantes
9000 personas en total participaron de la carrera.
In a population of adults the proportions of people in various marital status are: Single:35%, Married: 60%, Divorced: 5%. A person is selected at random. If that person is not divorced find the probability that he or she is single.
Answer:
7/20 0r 0.35
Step-by-step explanation:
Probability of been single = percentage of single adult / sum of percentages
sum of percentages = 35 + 60 + 5 = 100
35/100 = 7/20 or 0.35
i need help with this
Answer:
A) 9 inches per minute
Step-by-step explanation:
36 inches in 4 minutes
36/4 = 9 inches per minute
Pls help I have this homework !! bye I will mark you the best or brainliest!!
Answer:
90-54w
Step-by-step explanation:
18(5−3w)=
18*5=90 , 18*3w= 54w =
so simplified it would be = (90-54w)
Please mark me as brainliest :D
There are 8 sophomores on the academic team. At the last competition, they each took the math test. Their scores were 82%, 92%, 76%, 72%, 92%, 74%, 80%, and 78%. What was the median math score of the sophomores? 79% 82% 87% 92%
The median of the math scores is = 79%.
You can understand more about calculation of median of a set of numbers below.
Estimation of median scoresThe total number of sophomores is = 8
The percentage score of each sophomore = 82%, 92%, 76%, 72%, 92%, 74%, 80%, and 78%.
To calculate the median of the percentage scores, arrange the scores in ascending order and pick the figure in the middle as the median math score.
72, 74, 76, 78, 80, 82, 92, 92
Here the median is two figures 78, and 80 which are located in the middle. The median is =>78 +80/2
= 158/2 = 79%
Therefore, the median of the math scores is = 79%
Learn more about median calculation here:
https://brainly.com/question/14532771
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A. 79%
edge 2022 :)
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Plsss help I’m super stuck on this
Answer:
its b
Step-by-step explanation:
took the quiz
Answer:
I would go with D
Step-by-step explanation:
You can look at the graph and answer it
Which number makes the number sentence true?
0.64 < ____
A. 0.6
B. 0.7
C. 0.63
D. 0.07
Answer:
The correct answer is letter B, 0.7
Step-by-step explanation:
Hope this help
A small tree was planted at a height of 5 feet. The tree has been planted for 16 months, and is now 61 feet tall. Which equation could
be used to find x, the average number of feet the tree grew each month?
A. 5x + 16 = 61
B.16x + 5 = 61
C. 61x + 5 = 16
D. 16x + 61 = 5
Answer:
B
Step-by-step explanation:
which set of side lengths will form a right triangle 8,15,17
7,24,26
6,8,11
10,24,25
Type the correct answer in each box. Use numerals instead of words.
Consider the quadratic equation x² + 10x + 27 = 0.
Completing the square leads to the equivalent equation (x + ___)² = ___.
.
Answer:
(x + 5)² = 2 ==> x² + 10x + 27 = 0
Completing the square of the given quadratic equation leads to the equivalent equation (x + 5)² = -2.
What are Quadratic Equations?Quadratic equations are polynomial equations of second degree.
The general form of a quadratic equation is ax² + b x + c = 0.
Given quadratic equation is,
x² + 10x + 27 = 0
We have the algebraic identity that,
(a + b)² = a² + 2ab + b²
The given quadratic equation is in the form of a² + 2ab + b², where a = x.
So, 2xb = 10x
⇒ b = 5
Now, b² = 25.
So, the given can be written as,
(x² + 10x + 25) + 2 = 0
(x + 5)² = -2
Hence the equivalent form is (x + 5)² = -2.
Learn more about Quadratic Equations here :
https://brainly.com/question/12014272
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