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
Im stuck help i only have 1 hour for this test
Answer: -161
Step-by-step explanation:
-161 because 23 TIMES -7 is -161
prove that 5^(2n - 1) is divisible by 8
Your teacher must have made a typo somewhere. The expression 5^(2n-1) is not divisible by 8.
The expression 5^(2n-1) is composed of 2n-1 copies of "5" multiplied together. The key here is that 5 is the only unique prime factor of this number.
On the other hand, 8 = 2*2*2 = 2^3 showing that 2 is the only prime factor for this number. At this point, we can see that there's no way that 5^(2n-1) is divisible by 8. It all comes down to the clash of the primes 5 and 2 not matching up, and having nothing in common.
Let's consider a few concrete examples:
If n = 1, then 5^(2n-1) = 5^(2*1-1) = 5^1 = 5 which is not divisible by 8. The number 5/8 = 0.625 isn't an integer.If n = 2, then 5^(2n-1) = 5^(2*2-1) = 5^3 = 125 which is also not a multiple of 8. The number 125/8 = 15.625 isn't an integer.I'll let you try other natural numbers for n, and you'll find that [tex]\frac{5^{2n-1}}{8}[/tex] isn't an integer.
HELP DUE IN 10 MINUTES!!!
Two step equations word problems
In winter, the price of apples suddenly went up by $0.75 per pound. Sam bought 3 pounds of apples at the new price for a total of $5.88.
1. Write an equation to determine the original price per pound (p)
2. Find the original price per pound.
Answer:
$1.21Step-by-step explanation:
Original price = pNew price = p + 0.75Equation:
3(p + 0.75) = 5.88p + 0.75 = 5.88/3p + 0.75 = 1.96p = 1.96 - 0.75p = 1.21Can someone help please
5
A line passes through the point (4, - 7) and has a slope of
--
4
Write an equation in slope-intercept form for this line.
Answer: y = 4x-23
Step-by-step explanation: I'm assuming the question asks: "A line passes through the point (4, - 7) and has a slope of 4." I had difficulty understanding the format of the question. Slope intercept form is y=mx+b, where m is the slope and b is the y-intercept (the value of y when x=0).
We can start with y = 4x + b, since we are given the slope. We can then use the given point (4,-7) to find b, since this point is on the line and thus satisfies the equation.
y = 4x + b
-7 = 4(4) + b
-7 = 16 + b
b = - 23
The equation is y = 4x-23
Solve for x.
x / 4 ≥ - 8
Answer:
[tex]x \geqslant ( - 32) \: \: \: \: or \: \: \: \: ( - 32) \leqslant x[/tex]
Step-by-step explanation:
[tex] \frac{x}{4} \geqslant - 8 \\ x \geqslant - 8 \times 4 \\ x \geqslant (- 32) \\ [/tex]
30% of the swimming team are girls. If there are 18 girls. How many are in the team
altogether?
Answer:
60 people are in the team altogether
Answer:
60
Step-by-step explanation:
to find the percentage of girls on the swim team, you would multiply a number by 30 percent. to find the number in all, you would divide 18 by 30 percent
18/0.3 = 60
there are sixty people on the swimming team
Write an expression that represents the perimeter.
Simplify your perimeter expression as much as possible.
a.
X
у
X
a
b
8x + 4y + 4
2x + y +2
4x + 2y + 6
с
Given the following formula, with A = 27 and t = 3, solve for r.
Answer:
b
Step-by-step explanation:
What is the range of the function f(x) = 3x + 2
when the domain is {-2,-1,2}?
Answer:
Im going to give them as ordered pairs, you can pick out the range (Y values): (-2,-4), (-1,-1), (2,8)
Step-by-step explanation:
All that needs to be done for this problem is one thing: substitute the given domain values for the "x" in the equation. Domain is just a fancy way of saying x coordinate. All f(x) is is "function of x." This can still be your Y coordinate, or your range. I hope this process helps!
Sort the cultural values and beliefs about women into the appropriate categories. Decide whether each was common
before or after changes in the late 1800s.
Answer:
before: unable to own property, too delicate to do sports, unequal to men
after: able to attend college, could earn money from work, had a voice in government
Step-by-step explanation:
What is the average rate of change from x = 4 to x= 7
A shelf 16 5/8
inches wide is to be placed in a space that is
16 3/4 inches wide. Will the shelf fit in the space? Explain.
Answer:
Yes
Step-by-step explanation:
5/8 is smaller then 3/4(6/8) NOW GIVE ME BRAINLIEST NOW
What is the measure of the angle of rotation for the polygon?
Answer:
360 degrees divided by that order
Help please I’ll add more points for the answer and working out
[tex]▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ { \huge \mathfrak{Answer}}▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ [/tex]
a) A = 4Bb) A = 20c) B = 9solution is in attachment !
How to find perimeter with equations
I attached a pic of the problem I’m really struggling with, if I could get a step by step explanation of how to do it that would be great. Thanks so much
Step-by-step explanation:
In blue colour square
Perimeter= 4 × side
= 4 (3x +7)
=12x +28 unit
In green colour square
Perimeter= 4 × side
= 4 ( 5x+1)
= 20x +4 unit
Answer:
12x + 28 = p
20x + 4 = p
Step-by-step explanation:
Assuming that both shapes are square, the perimeter of a square is the equation:
4 * x = p
Where x is the length of one side. Plug the variables in for the first square:
4 * (3x + 7) = p
Expand the brackets:
4 * 3x = 12x
4 * 7 = 28
12x + 28 = p
For the second square, plug the variables in again:
4 * (5x + 1) = p
Expand the brackets:
4 * 5x = 20x
4 * 1 = 4
20x + 4 = p
Hope this helps!
Pls help. I will give you 10 points!
Answer:
the answer is 1 5/6 :))))
PLS HELP ME ASAP
WILL MARK BRAINLIEST
Find all real square roots of - 144
Answer:
The square roots of 144 are 12 and -12 which are rational numbers.
Step-by-step explanation:
solve the pattern:
15, 17, 32, 49, 81 __ __ ← those are the blank spaces.
Answer:
130 and 211
Step-by-step explanation:
15+17= 32
17+32=49
32+49=81
49+81=130
81+130=211
Answer:
130 and 211
Step-by-step explanation:
15,17,32,49,81 _ _
15+2=17+15=32+17=49+32=81
that mean 81+ 49=130
and 81+130= 211
Hence, the answer is 130 and 211.
2(h+3.5)=-11. What is the value of h
Answer:
The value of h would be nine
B: Josh starts off the weekend with $5,25 and earns $7.50 for each hour that he works. At
weekend he has $57,76. How many hours did he work?
PLEASE HELP I WILL GIVE BRAINLY THINGY
Answer:
23hrs
Step-by-step explanation:
What’s the answer for 6 and 7???
12 divided by 4/3 =
Answer:
9
Step-by-step explanation:
Answer:
9
Step-by-step explanation:
Hope this helps!
F = 9/5 + 32 PLS ANSWER THIS
Answer: I think it's 32.8
Step-by-step explanation:
Mr. Flores opened an account with a deposit of $5,000.
• The account earned annual simple interest.
• He did not make any additional deposits or withdrawals.
• At the end of 4 years, the balance of the account was $6,500.
What is the annual interest rate on this account?
A. 5.8%
B. 7.5%
C. 3.3%
D. 1.9%
Answer:
B. 7.5%
Step-by-step explanation:
First, we need the Simple Interest (S.I)
Total = Principal + Simple Interest
T = P + S.I
6500 = 5000 + S.I
[make S.I the subject of the formula]
S.I = 6500 - 5000
S.I = 1500
Simple Interest = (Principal × Rate × Time) / 100
S.I = (P × R × T) / 100
1500 = (5000 × R × 4) / 100
1500 = 20000R / 100
1500 = 200R
[divide both sides of the equation by 200]
1500 / 200 = 200R / 200
R = 1500 / 200
R = 7.5
The annual interest rate is 7.5%
The common difference of an arithmetic sequence
-8 and its first term is 52. What is the 3rd term of this sequence?
A
60
B) 46
C) 68
36
Answer:
Martin Luther King Jr. often spoke of a day in the future when he hoped that his children would be judged not by their skin color but instead by their character. Write a narrative essay about a moment in your life when you were judged by something other than the content of your character. Use narrative techniques to develop experiences, events, and characters.Dominique WilkinsKobeMartin Luther King Jr. often spoke of a day in the future when he hoped that his children would be judged not by their skin color but instead by their character. Write a narrative essay about a moment in your life when you were judged by something other than the content of your character. Use narrative techniques to develop experiences, events, and characters.Vince CarteMartin Luther King Jr. often spoke of a day in the future when he hoped that his children would be judged not by their skin color but instead by their character. Write a narrative essay about a moment in your life when you were judged by something other than the content of your character. Use narrative techniques to develop experiences, events, and characters.black smoke led dual headlights 2006 honda accordHow to wrap a 2006 honda accord 2 door Kapaa HI 967465108 hekili rd378969jhjdjjjskoxnsjjjsosncnsocnwfojowdjiwjciscj9wjfw9jfw9fjw9fj9wfjwfwfegehegehehehBlake GriffinMartin Luther King Jr. often spoke of a day in the future when he hoped that his children would be judged not by their skin color but instead by their character. Write a narrative essay about a moment in your life when you were judged by something other than the content of your character. Use narrative techniques to develop experiences, events, and characters.Martin Luther King Jr. often spoke of a day in the future when he hoped that his children would be judged not by their skin color but instead by their character. Write a narrative essay about a moment in your life when you were judged by something other than the content of your character. Use narrative techniques to develop experiences, events, and characters.KobeJulius Erving;-;;-;
I NEED HELP IM STUCK ITS CONFUSING,
A board is 88cm in length and must be cut so that one piece is 24cm longer than the other piece. Find the length of each piece. Round your answers to the nearest centimeter, if necessary
Answer:
64
Step-by-step explanation:
88-24=64 which is the right answer
The endpoint coordinates of AB are A(2, -10) & B(12, 5). Find the coordinates of the point that is 2/5 from A to B.
Step-by-step explanation:
Find the distance between points A and B by the formula:[tex]\large \boldsymbol {\sf D=\sqrt{(x_1-x_2)^2+(y_1+y_2)^2} }[/tex] [tex]\large \boldsymbol{} \sf D=\sqrt{(2-12)^2+(-10-5)^2} =\sqrt{100+225} =\boldsymbol {\sqrt{325}=5\sqrt{13} }[/tex] By the condition we are told to find 2/5 the distance between points A and B [tex]\sf \large \boldsymbol {} \dfrac{2}{5} \cdot D=5\sqrt{13} \cdot \dfrac{2}{5} =\boxed{\sf 2\sqrt{13}}[/tex] We can also find the distance between them through the Pythagorean theorem we will complete a right triangle AB²=AC²+BC² AB=√AC²+BC² Where AC=10 ; BC=15 AB=[tex]\boldsymbol {\sf \sqrt{15^2+10^2}=\sqrt{325}=5\sqrt{13} }[/tex] Then 2/5* AB=2[tex]\sqrt{13}[/tex]Use the graph of the quadratic function, g(x), to answer each question.
a. g(-1) =
b.g(-3) =
c. Find x when g(x) = 4.
X =