A penny is about 0.0625 of an inch thick.
a. In 2011 there were approximately 5 billion pennies minted. If all these pennies were placed in a single stack, how many miles high would that stack be?
b. In the past 100 years, nearly 500 billion pennies have been minted. If all these pennies were placed in a single stack, how many miles high would that stack be?
c. The distance from the moon to the earth is about 239,000 miles. How many pennies would need to be stack in order to reach the moon?
a) The height of the stack would be is 4932.13 miles
b) The height of stack is 493213 miles
c) 2,42,28,86,40,000 need to be stack in order to reach the moon
What is Unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Given:
thickness of penny = 0.0625
a) if 5 billion pennies minted
Then, height of the stack would be
= 5,000,000,000 x 0.0625
=31,25,00,000 miles
= 31,25,00,000 / 12 x 5280
=4932.13 miles
b) In the past 100 years, nearly 500 billion pennies have been minted.
Now, the height of stack
= 4932.13 x 100
=493213 miles
c) let x be the number of pennies in a stack which reaches the moon then we have the equation
x × 0.0625 =239,000miles.
x =(239,000 / 0.0625 miles) ×5280 ×12
x = 38,24,000 x 5280 x 12
x = 2,42,28,86,40,000
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Find the distance between the points. Write
your answer in simplest form.
(-2,0), (-1,-1)
I HOPE IT WILL HELP YOU.
Thank you.
Function A is represented by the equation y= 2x+ 5.
Function B is a linear function that goes through the points shown in the
table
X 1
3 46
y -1 3 5 9
Which statement correctly compares the rates of change of the two
functions?
A. The rate of change of function A is 5.
The rate of change of function Bis 4
Answer:
Step-by-step explanation:
2x can not be evaluated further so the equation has been evaluated completly
rate of change for A is 5
the answer is A=5 hope that helps
Answer each equation correctly
1. (-2)(3) =
2. (8)(-11) =
3. (-5)(-7) =
4. (-3)(2)(-2) =
Students in a science class are divided into 6 equal groups with at least 4 students in each group for a project. Identify an inequality that represents the number of students in the class.
Answer:
last answer (4th )
Step-by-step explanation:
Answer:
6x ≥ 4
Step-by-step explanation:
Please help.
Solve 2 - 4
Answer:
2. 1080
3. 56
4. $1665
Step-by-step explanation:
2. 1080 (/6), 180 (/6), 30 (/6), 5
3. 4(6 + 8) = 4 x 14 = 56
4. $75 + 30(53) = $75 + 1590 = $1665
Referring to the Fig. in Question #40, find the unknown
length Y.
Answer:
tan30°=7/x
[tex] \frac{1}{ \sqrt{3} } = \frac{7}{x } \\ x = 7 \sqrt{3} [/tex]
cos30°=x/y
[tex] \frac{ \sqrt{3} }{2} = \frac{7 \sqrt{3} }{y} \\ \\ 7 \sqrt{3} \times 2 = \sqrt{3} \times y \\ \frac{7 \sqrt{3 } \times 2}{ \sqrt{3} } = y \\7 \times 2 = y \\ 14 = y[/tex]
tell me if it's wrong.
Please help. I don't understand this and I need this done by tomorrow.
Answer:
answers B, C, and F
Step-by-step explanation:
Answer:
a
c
d
Step-by-step explanation:
At the mini-mart, Kathy spent $1.39 for a muffin, $2.99 for milk, and $0.99 for a bag of chips. About how much did he spend?
Answer:
He spent $5.37 in total.
Owen loves to eat hamburgers. He goes to his neighborhood grocery store to buy ground beef and buns to make hamburgers at home. He buys a package of hamburger buns for $1.29 and a package of ground beef for $5.82. He only has a $10 bill and wonders if he can buy some ketchup and mustard, too. The ketchup is $1.89, and the mustard is $2.69. He does not have to pay sales tax on food. ASAP PLS!
Answer:Look at the attaches images and it will show you the math
Step-by-step explanation:
Answer:
2.89
Step-by-step explanation:
Squaring a number is multiplying it by itself. Finding a square root is dividing and trying to find the two numbers that will multiply to make your original number. PLEASE ANSWER SOON :(
Someone please help. Explain why it might be easier to solve the multiplication problem by changing it from this: 5×98×2 , to this: 5×2×98 . Use a property of multiplication to justify your reasoning.
Answer:
Because it is easy to multiply 5 by 2 which is 10......and then 10 × 98 youbjust have to add 0 to 98.....which will be 980
The multiplication problem can be simplified by the equation A = 5 x 2 x 98 and the value of A = 980
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Substituting the values in the equation , we get
A = 5 x 98 x 2
On simplifying , we get
From the associative property , we get
A = ( 5 x 2 ) x 98
where the value of 5 x 2 = 10
So , the multiplication expression is
A = 10 x 98
A = 980
Therefore , the value of A is 980
Hence , the equation is A = 980
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Referring to the Fig. in Question #50, find the cosine of
∠A. Give answer in simplest form.
Answer:
cos A = 5 / 13
Step-by-step explanation:
cos A = 15/39
cos A = 5 / 13
Please Help me I have no clue if i'm right
Answer:
ADDITION PROPERTY OF EQUALTY
Step-by-step explanation:
ADDITION PROPERTY OF EQUALTY OPTION A is the right answer
What is the total paid back on a loan of $1,500 with an interest rate of 3.74% for 2 years?
Answer:
1612.2
Step-by-step explanation:
3.74% × 2 = 7.48%
1500 + 7.48% = 1612.2
Answer:
1,500 x 1.0374^2 = 1614.29814
=$1613.30
Step-by-step explanation:
Use the table to solve the inequality −3x ≤ 3.
The solution of the inequality is .
Answer:4
,
5
)
Step-by-step explanation:
See a solution process below:
Explanation:
First, subtract
3
from each segment of the system of inequalities to isolate the
x
term while keeping the system balanced:
−
3
−
12
<
−
3
+
3
−
3
x
≤
−
3
+
15
−
15
<
0
−
3
x
≤
12
−
15
<
−
3
x
≤
12
Now, divide each segment by
−
3
to solve for
x
while keeping the system balanced. However, because we are multiplying or dividing inequalities by a negative number we must reverse the inequality operators:
−
15
−
3
>
−
3
x
−
3
≥
12
−
3
5
>
−
3
x
−
3
≥
−
4
5
>
x
≥
−
4
Or
x
<
5
and
x
≥
−
4
Or, in interval notation:
[
−
4
,
5
)
Answer:
x [tex]\geq[/tex] -1
Step-by-step explanation:
First, we divide each side by -3. Since the number that we are dividing by is negative we have to flip our inequality symbol.
I hope this helps!
correctly classify each relation.
{(2, 2),(4, 4),(6, 6),(8, 8)}
{(0, 3),(3, 5),(5, 6),(8, 4)}
{(1, 2),(3, 3),(4, 8),(6, 3)}
{(3, 4),(5, 2),(5, 6),(7, 3)}
which ones are functions
Answer:
the first one is a straight line
PLEASE HELP THE CORRECT ANSWER WILL BE MARKED BRAINLIST!
Jim's backyard is a rectangle that is 17 5/6 yards long and 10 2/5 yards wide. Jim buys sod in pieces that are 1 1/3 yards long and 1 1/3 yards wide. How many pieces of sod will Jim need to buy to cover his backyard with sod?
Jim will need to buy ____? pieces of sod to cover his backyard with sod.
If you can explain that would be very helpful
if you're not sure make sure to check your work :)
random stuff will get reported and kate will delete random links that "preferably" have the answer. They don't. Thanks for reading :)
I attached a picture of the problem if you do not know what I mean :)
Well first you'd need to turn the fractions to improper, for instance you'd need to turn 1 1/3 from a mixed number to an improper fraction you do this by, keeping your denominator and then multiplying 3x1 and adding the 1, after that your final fraction should be 4/3 you also do this for your other fractions, let's remember that we still need to make 17 5/6 improper and 10 2/5 improper. so 17 5/6 will turn into 107/6 we are basically just doing 17x6 plus 5, now 10 2/5 will turn into 52/5 then we will have to simplify our fractions and subtract
A Ferris wheel has an area of 50 square meters. Find
the radius of the Ferris wheel to the nearest meters.
Round the answer to the nearest whole meter.
Answer:
19.7 m
Step-by-step explanation:
Draw a circle to represent the ferris wheel with a 10.2 m radius. Draw a horizontal line through the circle center horizontal to the ground (at 13.1 m). Now draw a line from the center of the circle (ferris wheel) upward at 140 degrees until you reach the edge of the circle. Draw a line down from that point to the horizontal line at This is your right triangle to solve.
Hypotenuse is 10.2 m (radius of circle)
The angle of the triangle the supplementary angle of 140 degrees. 180-140=40 degrees
sin 40 degrees=rise /radius=rise/10.2
sin 40=0.6428=rise/10.2
rise=10.2(0.6428)
rise=6.6 m
13.1+6.6=19.7 m
The radius of the Ferris wheel to the nearest meters will be 4 meters.
What is the area of the circle?It is the close curve of an equidistant point drawn from the centre. The radius of a circle is the distance between the centre and the circumference.
Let r be the radius of the circle. Then the area of the circle will be
A = πr² square units
A Ferris wheel has an area of 50 square meters. Then the radius is calculated as,
πr² = 50
r² = 15.915
r = 3.989
r ≈ 4 meters
The radius of the Ferris wheel to the nearest meters will be 4 meters.
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the median weight of 9 dogs in a pet store is 10 pounds.
which action could change the median?
an 11-pound dog gains 1 pound
an 8-pound dog loses 2 pounds
the store gets a new 10-pound dog
the store gets a new 8-pound dog
Answer:
Where the options?
Step-by-step explanation:
i cant
The action could change the median would be an 11-pound dog gains 1 pound.
What is weight?The weight of an object is the force acting on the object due to gravity.
Here we have,
We could get another dog and have 10 dogs
We could sell a dog and have 8 dogs.
The dog who is 10lbs could have a massive weight gain or loss.
that would be an 11-pound dog gains 1 pound.
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need help on slope!!
Answer:
option 2
Step-by-step explanation:
trust
Answer:
Slope = -3/2. y-intercept = (1,0)
My sister is in 10th grade and she told me this was correct.
I hope you have a great weekend :)
tom drives at a constant rate of 40 miles per hour for 3 hours.how far will he travel at that time?
A.350 mi.
B.220 mi.
C.120 mi.
D. 60 mi.
Answer: C. 120 mi.
Step-by-step explanation:
To get the answer C you take the constant rate which is 40 and multiply it by the amount of hours which is 3. Hope this helps!
Answer:
C. 120 mi.
Step-by-step explanation:
If he is constantly going 40 miles per hour. That means every hour, he goes 40 miles. So if he drives 3 hours, he would drive 120 miles because 40 miles +40 miles+40 miles=120 miles. Aka 40 times 3 to get 120 miles.
At basketball practice, Donald's team practiced defense for 30 minutes and offense for 45 minutes. If the practice ended at 7:00 P.M., what time did it start?
Include A.M. or P.M. in your answer (for example, 11:58 A.M.).
Answer:
5:45 P.M.
Step-by-step explanation:
You would first subtract the amount of time it took for defesne from the end time, so 7:00 - 30 mins = 6:30, then you would subtract the offense from that 6:30- 45 mins, which equals 5:45 then you would add P.M. because it is still in the evening.
7:00 - 30 mins - 45 mins = 5:45 P.M.
The table shows the elevations of the highest and lowest points in France where are the negative numbers are feet below sea level.which inequality correctly compares the elevations
Alonzo will rent a car for the weekend. He can choose one of two plans. The first plan has an initial fee of $50 and costs an additional 0.10 per mile driven. The second plan has no initial fee but costs 0.60 per mile driven. How many miles would Alonzo need to drive for the two plans to cost the same?
Answer:
100 miles
Step-by-step explanation:
If Alonzo drives 0 miles, then the first plan would cost him 50 dollars and the second plan would cost him nothing.
If Alonzo drives 10 miles, then the first plan would cost him 51 dollars and the second plan would cost him 6 dollars.
From these statements, we can observe that the second plan is increasing at a rate 6 times the first one and will overtake it at one point.
Our solution is the point of intersection between these two functions - where they cost the same.
To find this, equate
0.1x + 50 = 0.6x
where x is the number of miles Alonzo drives,
multiply the equation with 10 to get,
x + 500 = 6x
subtract x,
5x = 500
and divide 5,
x = 100.
So at 100 miles, both plan 1 and 2 will cost 60$. This is our answer. Good Luck!
Solve for y
4y + 8 = 29 - 5y
Answer:
7/3
Step-by-step explanation
4y+8=29-5y
First you are going to subtract 8 from both sides of the equation.
4y=21-5y
Next you are going to add 5y to each side of the equation.
9y=21
Now write it as a fraction,
9/21
Last but not least simplify.
3/7
on the first day of winter, the temperature in Cassville was -3 degrees Fahrenheit. that same day, in Shorewood was -11 degrees Fahrenheit.
During a study of a salamander population, scientists put marks on 190 salamanders. Later, the scientists returned and found 19 marked salamanders out of the 440 salamanders they counted. To the nearest whole number, what is the best estimate for the salamander population?
( 14 Points If solve :))
* Please answer Properly*
help... I gotta turn this in in like 3 minutes
Answer:
Step-by-step explanation:
addition and subtraction
destributive property
division and multiplication
Im not sure what the last one is
Answer:
These are the answers if I'm not mistaken
Step-by-step explanation:
Commutative: Addition and Multiplication
Identity: Multiplication and Division
Associative: Addition and Multiplication
Distributive
Baby Alene slept for 4/5 of an hour in the morning,slept for 1.7 hours at naptime and fell asleep again in the afternoon for another 90 minutes.How much time was Baby Alene asleep? ALSO Please explain how you got the answer.
A.3.8 hours
B.4 hours
C.228 minutes
D.400 minutes
