The area of one side of the coin is 41.605 mm².
Given that, the diameter of a $1 coin is 26.5 mm.
We need to find the area of one side of the coin.
What is the area of a circle formula?The area of a circle formula is A=πr².
Now, radius=26.5/2=13.25 mm.
Area of a coin=3.14×13.25=41.605 mm².
Therefore, the area of one side of the coin is 41.605 mm².
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Veronica traveled 562 miles to Venice, Florida. She drove 85 miles every day. On the last day of her trip, she only drove 52 miles. Write and solve an equation to find the number of days veronica traveled.
Answer:
562 = 85x +52
x is the number of days
Veronica traveled for 7 days
Step-by-step explanation:
562 = 85x + 52
510 = 85x Subtract 52 on both sides
6 = x Divide by 85 to isolate x
Even though Veronica only had to drive 52 miles on the last day of her trip, it still counts as a day of driving. Hence, she traveled 7 days in total.
please help!!! ILL GIVE U BRAINLIEST.
Answer:
f(x) is translated by 4 units left.
Step-by-step explanation:
did it help ?
well, hope it helps !
The equation A = 1/2bh (one halve) gives the area A of a triangle, where b is the length
of the base and h is the height. Solve this equation for h.
Answer:
h= (2a)/b
Step-by-step explanation:
solved for equation
Suppose $22,825 is deposited into a savings account with a simple interest rate of 4.03%. Find the account balance after 5 years and 3 months.
Enter the answer in dollars and cents, and round to the nearest cent, if needed. Do not include the dollar sign. For example, if the answer is $0.61, only the number 0.61 should be entered.
Based on the information that's given, the account balance after the years given will be $27654.20.
The formula for simple interest is calculated as:
= PRT / 100
where,
Principal = $22825
Rate = 4.03%
Time = 5 years, 3 months = 5.25 years
Therefore, the simple interest will be:
= ($22825 × 4.03 × 5.25) / 100
= $4829.20
Therefore, the amount will be:
= $22825 + $4829.20
= $27654.20
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Answer:
The amount will be $27654.20
Step-by-step explanation:
Fifty-five percent of the members of the junior varsity swim team wear glasses. Of the team memebers who do not wear glasses, 30 percent of them are in the 10th grade. To the nearest whole percent, what is the probability that a randomly chosen member of the JV swim team does not wear glasses and is in the 10th grade?.
the probability that a randomly chosen member of the JV swim team does not wear glasses and is in the 10th grade is 14%.
Given, the members of the junior varsity swim team wear glasses is 55%.
And the members of junior varsity swim team who do not wear glasses and in 10th grade is 30%.
Let the total no. of members be x.
So, the members of the junior varsity swim team wear glasses (55%),will be
[tex]0.55x[/tex].
The total number of members not wearing glasses, will be
[tex]x - 0.55 x = 0.45 x[/tex].
Now, the no. of members not wearing glasses and in 10th grade will be,
[tex]\frac{0.45x\times30}{100} =0.135x[/tex]
We know that the probability of an event E, P(E) will be,
[tex]P(E)=\frac{No.\ of Favourable\ outcomes}{total \ no. \ of \ outcomes}[/tex]
So, the probability for no. of members not wearing glasses and in 10th grade will be,
[tex]P(E)=\dfrac{0.135x}{x}[/tex]
[tex]P(E)=0.135\\\\P(E)=13.5 \%[/tex]
Hence the nearest whole percent of probability is 14%.
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Solve the following:
2x - 7 = x + 3
4 3
Answer:
x = 10
Step-by-step explanation:
2x - 7 = x + 3
=> 2x - 7 = x + 3
=> x = 10
Therefore, x = 10.
Hoped this helped.
Answer: x=350
Step-by-step explanation:
see attached photo for question
Answer:[tex]6\pi[/tex]
Step-by-step explanation:
240/360 can be simplified to 2/3. r^2 can be substituted for 9, and 2/3*9 is 6.
please help Me make sure you put the correct answer
Answer:
26
Step-by-step explanation:
3*8=24+2=26
what does the expression 3(20+15) represent?
Answer:
It represents 3x20 +3x15
Step-by-step explanation:
The expression 3(20+15) represents 20+15 then multiplying it by three.
If you were to solve the expression, the answer would be 105.
20 + 15 = 35
35 x 3 OR 35(3) OR 35 ∙ 3 = 105
Which set of numerical values represents the minimum, lower quartile, median, upper quartile, and maximum, in that order, of the box plot of this data set?
51, 51, 53, 53, 54, 55, 55, 56, 58, 58, 58, 59, 60
Answer:
51, 53, 55, 58, 60
Step-by-step explanation:
The minimum is the lowest value in the data set, that is 51
The maximum is the largest value in the data set, that is 60
The median is the middle value of the data, arranged in ascending order. If there is no exact middle then it is the average of the 2 values either side of the middle.
51, 51, 53, 53, 54, 55, 55, 56, 58, 58, 58, 59, 60
↑ middle
median = 55
The lower quartile is the middle value to the left of the median
51, 51, 53, 53, 54, 55
↑
Q₁ = [tex]\frac{53+53}{2}[/tex] = [tex]\frac{106}{2}[/tex] = 53
The upper quartile is the middle value of the data to the right of the median
56, 58, 58, 58, 59, 60
↑
Q₃ = [tex]\frac{58+58}{2}[/tex] = [tex]\frac{116}{2}[/tex] = 58
Help??
Trying to find g
1/3(g-3)=3
Answer:
g = 12
Step-by-step explanation:
[tex]\frac{1}{3}[/tex] (g - 3) = 3 ← multiply both sides by 3 to clear the fraction
g - 3 = 9 ( add 3 to both sides )
g = 12
Please help
Is (6, 3) a solution to this system of inequalities?
x + 3y ≥ 15
10x + 3y > 3
Answer:
Graph both inequalities and see if the point lies in the overlapping shaded region.
Step-by-step explanation:
Divide. Give the exact answer, written as a decimal.
Answer: 554
Step-by-step explanation: cause yeah
I need so much help with this question
Step-by-step explanation:
Looking at the graph, we can see that
A = (3, -3)
B = (10, -5)
C = (6, -8)
Reflecting over the y axis means reflecting over the big, bold vertical line in the middle. To do this for a point (x, y) simply means changing the x value to -x. For example, to reflect (6, 7) over the y axis, we would turn it into (-6, 7)
A' = (-3, -3)
B' = (-10, -5)
C' = (-6, -8)
Plot these points on the graph and connect them to get your new triangle
solve each equation by factoring 12p^2+78p-151= -7
Answer:
Ok so im not to sure but I think its 40.62 but i could be wrong since it was worded odd
Step-by-step explanation
Find domain and range
You are going to a private apple orchard to pick apples. There is a one-time entry fee
that everyone pays, and you also pay a certain amount per pound of apples you pick. It
costs $42 to buy 5 pounds of apples, and it costs $54 to buy 7 pounds of apples.
Based on this information, what is the one-time entry fee?
The one-time entry fee is $12.
In order to determine the one-time entry fee, two equations have to be formed from the information in the question:
x + 5y = 42 equation 1
x + 7y = 54 equation 2
Where:
x = one-time entry fee
y = cost to pick an apple per pound
In order to determine the one-time entry fee, take the following steps:
Multiply equation 1 by 7 and equation 2 by 5.
7x + 35y = 294 equation 3
5x + 35y = 270 equation 4
Subtract equation 4 from equation 3
2x =24
Divide both sides of the equation by 2
x = $12
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f(x)=4x+6 g(x)=4x-6 if g(x)=f(x)+k what is the value of k
Answer:
k=-6-6=-12
Im pretty sure that's the answer
5 rubber stamps cost $9.70.
Which equation would help determine the cost of 11 rubber stamps?
Answer:
none of the above
Step-by-step explanation:
it should be: 9.70/5 = 11/x
Answer:
e
Step-by-step explanation:
Help me please! I need help ill give brainliest
Answer:
26 1/4
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
You add up both fractions, sorry for the lazy explanation
A number written in expanded form is 700,000 + 5,000 + 200 + 80 + 7. What is this number written in word form?
1 seven hundred five thousand, two hundred eighty-seven
2 seventy-five thousand, two hundred eighty-seven
3 seven hundred eighty-two thousand, five hundred seventy
4 seven hundred eighty-two thousand, five hundred seven
decrease eight times a number by twice the same number
Answer:
6x
Step-by-step explanation:
8x-2x
PLEASE HELPP WITH THIS QUESTION!!!!!
Answer:
y=-3/2x
Step-by-step explanation:
y=mx + b
First find slope, here we take 2 points
(0,0) and (2, -3)
m = (-3-0)/(2-0)
m = -3/2
Find B which is 0 since it hits (0,0) which is a y intercept when x= 0
Therefore equation is:
y=-3/2 x
NEED ANSWERS PLEASEEE! PROGRESS REPORTS GO IN SOON.
Answer:
1. they both are the same length and diameter, the difference is thw diameter is a different direction.
2. 4 cm
3. EB and 8 cm
Step-by-step explanation:
Diameter is the length of the circle aross, hope this helps!
In the triangle, x = 3. Find y.
A) y = 6
B) y = 7
y= V3
D) y= 3.72
Answer:
Below.
Step-by-step explanation:
Using Pythagoras theorem, let's find y.
=> y² = 3² + 3²
=> y² = 9 + 9
=> y² = 18
=> y = √18
=> y = 4.24 (Estimated)
Unfortunately, there is no options of 'y = 4.24'. Please re-check the options you posted.
Hoped this helped.
when 8 is subtracted from a certain number and the result is multiplied by 3 the final answer is 21. What is the original number
Answer: The original number is 15.
Step-by-step explanation:
Answer:
15
Step-by-step explanation:
(x-8)*3=21
x-8=21/3
x-8=7
x=7+8
x=15
Nolan was given a box of assorted chocolates for his birthday. Each night, Nolan treated himself to 3 chocolates. After 8 nights, there were 6 chocolates remaining in the box.
Step-by-step explanation:
i am trying to solve it but how
many chocolate were there in a box
The graphs above are of the lines y = -x+2 and y=x+1. The point of intersection of the linear equations is
(0,2)
(0.5, 1.5)
(-1,0)
(2,0)
See below
[tex]\\ \sf\Rrightarrow y=-x+2[/tex]--(1)
[tex]\\ \sf\Rrightarrow y=x+1[/tex]--(2)
Now
[tex]\\ \sf\Rrightarrow -x+2=x+1[/tex]
[tex]\\ \sf\Rrightarrow -2x=-1[/tex]
[tex]\\ \sf\Rrightarrow x=0.5[/tex]
Put in eq(2)
[tex]\\ \sf\Rrightarrow y=0.5+1[/tex]
[tex]\\ \sf\Rrightarrow y=1.5[/tex]
(x,y)=(0.5,1.5)−3(y+5)=15 someone please help me with this question my assignment is already late
Answer: -10
Step-by-step explanation:
Simplifying
-3(y + 5) = 15
Reorder the terms:
-3(5 + y) = 15
(5 * -3 + y * -3) = 15
(-15 + -3y) = 15
Solving
-15 + -3y = 15
Solving for variable 'y'.
Move all terms containing y to the left, all other terms to the right.
Add '15' to each side of the equation.
-15 + 15 + -3y = 15 + 15
Combine like terms: -15 + 15 = 0
0 + -3y = 15 + 15
-3y = 15 + 15
Combine like terms: 15 + 15 = 30
-3y = 30
Divide each side by '-3'.
y = -10
Simplifying
Julio is putting a rectangular pool in his backyard. The length of
the pool is 7 feet more than the width. The perimeter of the pool
is 54 feet. What is the length of the pool?
23.5
47
17
10
Answer: 17
Step-by-step explanation: Luckly, this question is multiple choice meaning that we could try all the solutions going backwords. We will start from 10. Since the length is 7 feet more than the width, we will do 10 - 7 to find the width. That gives you 3 and perimiter means we have to add up all the sides. 3 + 10 + 3 + 10 = 26 and 54 does not equal 54. Now we will do 17. 17 - 7 gives you 10. So, 17 + 10 + 17 + 10 = 54. 54 = 54 so your answer will be 17.
