The shoreline will erode approximately 22 7/9 feet in 8 years.
Explanation:To find the total erosion over 8 years, we can use the given rate of erosion per year. The rate is 2 5/18 feet each year, and to calculate the total erosion over 8 years, we can multiply this rate by the number of years.
[tex]\[ \text{Rate of erosion per year} = 2 \frac{5}{18} \text{ feet} \][/tex]
[tex]\[ \text{Total erosion over 8 years} = \text{Rate of erosion per year} \times \text{Number of years} \][/tex]
[tex]\[ \text{Total erosion} = 2 \frac{5}{18} \times 8 \][/tex]
To perform this calculation, first convert the mixed number into an improper fraction:
[tex]\[ \text{Total erosion} = \frac{41}{18} \times 8 \][/tex]
Multiply the numerators and denominators:
[tex]\[ \text{Total erosion} = \frac{328}{18} \][/tex]
Now, simplify the fraction:
[tex]\[ \text{Total erosion} = 18 \frac{2}{18} \][/tex]
Thus, the shoreline will erode approximately[tex]\(18 \frac{2}{18}\) feet in 8 years, which simplifies to \(18 \frac{1}{9}\) or \(22 \frac{7}{9}\) feet.[/tex]
An equation for the depreciation of a car is given by y = A(1-r), where y = current value of the car, A = original cost, r = rate
of depreciation, and t = time, in years. The current value of a car is $12,282.50. The car originally cost $20,000 and
depreciates at a rate of 15% per year. How old is the car?
Answer:
Step-by-step explanation:
y = A(1 - r)^t......y = value of car after t years.....A = original cost....r = rate of depreciation.....t = time in years
y = 12,282.50
A = 20,000
r = 15% = 0.15
12,282.50 = 20,000(1 - 0.15)^t
12,282.50 / 20,000 = 0.85^t
0.614125 = 0.85^t
log 0.614125 = t * (log(0.85))
t = (log 0.614125) / (log 0.85)
t = 3 <=== 3 years old
Answer:
C. 3 years
Step-by-step explanation:
I can confirm that the answer to your question is C.
Will give brainliest The expression to find the perimeter of a rectangle is 2(length + width). What is the perimeter, in units, of a rectangle of length fraction 1 over 3 unit and width fraction 1 over 2 unit? (1 point) fraction 2 over 5 unit fraction 4 over 5 unit fraction 1 and 1 over 3 units fraction 1 and 2 over 3 units
Answer:
Option fraction 1 and 2 over 3 units is correct
Therefore [tex]Perimeter of a rectangle=1\frac{2}{3}[/tex]units
Step-by-step explanation:
Given rectangle of length is fraction 1 over 3 units and width is fraction 1 over 2 units
It can be written as [tex]l=\frac{1}{3}[/tex]units and [tex]w=\frac{1}{2}[/tex]units
To find the perimeter of a rectangle :
Perimeter of a rectangle=2(l+w)
Substitute the values of [tex]l=\frac{1}{3}[/tex]units and [tex]w=\frac{1}{2}[/tex]units in the above formula we get
[tex]Perimeter of a rectangle=2(\frac{1}{3}+\frac{1}{2})[/tex]
[tex]=2(\frac{1(2)+1(3)}{6})[/tex]
[tex]=2(\frac{2+3}{6})[/tex]
[tex]=\frac{5}{3}[/tex]
[tex]=1\frac{2}{3}[/tex]
Therefore [tex]Perimeter of a rectangle=1\frac{2}{3}[/tex]
Therefore option fraction 1 and 2 over 3 units is correct
Answer:
Option fraction 1 and 2 over 3 units
Step-by-step explanation:
95-a (b+c) when a=9, b= 3, and c = 7.4
Step-by-step explanation:
95-a (b+c)
95-9 (3+7.4)
95-9×10.4
95-93.6
=1.4
Answer: 894.4
Step-by-step explanation:
95-9(3+7.4)
⬇️
95-9 (10.4)
⬇️
86(10.4)
⬇️
894.4
Find the slope of each set of points.
a.) 4, 3 and -3, 4 b.) -2, 0 and (8, -4)
Answer:
1. (4, 3) and (-3, 4) has Slope = -1/7
2.(-2, 0) and (8, -4) has Slope = -2/5
Step-by-step explanation:
If two such points (a,b) and (c,d) are given, then the slope S is given as:
[tex]S = (\frac{d-b}{c-a} )[/tex]
Now here, the given set of points are:
1. (4, 3) and (-3, 4)
Here, the slope S = [tex](\frac{4-3}{-3-4}) = (\frac{1}{-7}) = -(\frac{1}{7})[/tex]
⇒ S = -1/7
1. (-2, 0) and (8, -4)
Here, the slope S = [tex](\frac{-4-0}{8-(-2)}) = (\frac{-4}{10}) = -(\frac{2}{5})[/tex]
⇒ S = -2/5
The Johnsons need to put up a fence, as shown in the picture. They have already measured two of the sides. Find the length of the missing side of the farmyard (round to two decimal places). A) 17.00 feet B) 27.00 feet C) 32.15 feet D) 46.77 feet
Answer:
D
Step-by-step explanation:
its D for sure
Answer:
d
Step-by-step explanation:
46.77 feet Use the Pythagorean theorem.
Help! Give me the answer. I'll give the BRAINLIEST
hi, i cant see the question :(
PROBABILITY DISTRIBUTIONS?? Do anyone know how to find probabilities??
Probability of more than 3 = 0.25
Solution:
Given table shows the pitches, frequency and probability of pitches.
P(x = 1) = 0.15, P(x = 2) = 0.2, P(x = 3) = 0.4, P(x = 4) = 0.15, P(x = 5) = 0.1
To find the probability that the pitcher will throw more than 3 pitches.
Probability of more than 3 pitches = P(x > 3)
= P(x = 4) + P(x = 5)
= 0.15 + 0.1
= 0.25
P(x > 3) = 0.25
Hence the probability that the pitcher will throw more than 3 pitches to a batter is 0.25.
Final answer:
Probability distributions are used to assess the likelihood of different outcomes in a given set of data. To find probabilities, you need to determine the type of probability distribution and use the appropriate formulas or tables.
Explanation:
Probability distributions are used to assess the likelihood of different outcomes in a given set of data. They can take different shapes depending on the nature of the population. One common type of probability distribution is the normal distribution, which represents a bell curve.
To find probabilities using a probability distribution, you can follow these steps:
Determine the type of probability distribution you are dealing with, such as binomial or normal.Identify the values or events for which you want to find probabilities.Use the appropriate formulas or tables to calculate the probabilities, considering factors such as mean and standard deviation.Which system of equations has exactly one solution? 2 x - 4 y = 8. x + y = 7. 3 x + y = - 1. 6 x + 2 y = - 2. 3 x + 3 y = 3. -6 x -6 y = 3. 3 x - 2 y = 4. - 3 x + 2 y = 4.
Answer:
A) is the correct answer (6,1)
Step-by-step explanation:
An apartment building currently has rented x apartments with two occupants and 16 apartments with one occupant. The apartment building has 92 total occupants.
2× + 16 = 92
How many double-occupancy apartments are currently rented?
38 double-occupancy apartments are currently rented
Solution:
Given that, apartment building currently has rented x apartments with two occupants and 16 apartments with one occupant
Number of apartments with one occupant = 16
Number of apartments with two occupants = x
The apartment building has 92 total occupants
Therefore, we frame a equation as,
Number of apartments with one occupant + 2 x Number of apartments with two occupants = 92
[tex]16 + 2 \times x = 92[/tex]
16 + 2x = 92
Solve the above equation for "x"
2x = 92 - 16
2x = 76
x = 38
Thus 38 double-occupancy apartments are currently rented
Final answer:
To determine the number of double-occupancy apartments that are currently rented, we solve the equation: 2x + 16 = 92. After simplifying, we find that there are 38 double-occupancy apartments rented.
Explanation:
To determine the number of double-occupancy apartments that are currently rented, we need to solve the equation: 2x + 16 = 92.
First, we subtract 16 from both sides of the equation: 2x = 76.
Next, we divide both sides of the equation by 2 to isolate x: x = 38.
Therefore, there are 38 double-occupancy apartments currently rented.
Is 3 a solution of 2n - 6 = 5n - 15
Answer: Yes
Step-by-step explanation: Here, we want to decide if 3 is a solution for the equation 2n - 6 = 5n - 15. We can do this by simply plugging in 3 for n. If the statement holds true when 3 is plugged in for n, then 3 is a solution.
Plugging in 3 for n, we have 2(3) - 6 = 5(3) - 15.
2(3) is equal to 6 and if we subtract 6 we get 0.
On the right side, 5(3) is equal to 15 and if we subtract 15 we get 0.
0 = 0 is a true statement so yes,
3 is a solution for the equation 2n - 6 = 5n - 15
What is negative 1/4 to the 3rd power
Answer:
-1/64
Step-by-step explanation:
Just do 4 to the 3rd and make that the denominator
4^3 = 64
-1 / 64
To estimate the annual salary for a given hourly pay rate, multiply by 2 and insert “000” at the end.
Sample: $10 per hour is about $20,000 per year.
Explain why this works. Assume the person is working 40 hours a week:
Answer:20000
Step-by-step explanation:
He must have worked for 50 weeks in that year.
What is the unitary method?The unitary method is a method in which you find the value of a unit and then the value of a required number of units.
Given here: hourly rate=10/hr and annual rate is $20000 and he worked 40 hours per week
Thus in a week he earns 40×10=$400
let the person work for x weeks then we have the equation
400×x=20000
x=50 weeks
Hence, He must have worked for 50 weeks in that year.
Learn more about the unitary method here:
https://brainly.com/question/22056199
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Expression for the calculation the sum of the product of 4 and 3 and 1 and 1
Answer:
(4 × 3) + (1 × 1)
Step-by-step explanation:
Sum means adding, so you are adding the product of 4 and 3 to the product of 1 and 1.
Product means multiplying, so you are multiplying 4 and 3 together, and since you just want an expression, this is expressed as 4 × 3.
You are also multiplying 1 and 1 together, so that can be expressed by 1 × 1.
Since you are adding these together, you just put a plus sign in between the two terms. That gives you (4 × 3) + (1 × 1).
I am in the middle of a test! Will give brainliest and 30 points!!!!
It’s a circle has a circumference of a 28 Π centimeters (cm) then what is it’s area in centimeters squared?
Answer:
3.14 x 4.46^2= 62.39 square centimeters
Step-by-step explanation:
The measure of an angle is 135 degrees. What is the measure of its supplementary angle ?
Remember that if two angles are supplementary, then the sum of their measures is 180°. So if the measure of an angle is 135 degrees. What is the measure of its supplement?
If the measure of an angle is 135°,
then the measure of its supplement is 45°.
We can find the measure of its supplement by taking 180 minus the measure of the original angle which in this case is 180 - 135 or 45°.
Final answer:
The measure of the supplementary angle to a 135-degree angle is 45 degrees, calculated by subtracting 135 degrees from 180 degrees.
Explanation:
The measure of an angle is 135 degrees. Supplementary angles are two angles whose measures add up to 180 degrees. To find the measure of the supplementary angle, we subtract the given angle's measure from 180 degrees. Here's the calculation:
Identify the measure of the given angle (135 degrees).Subtract the measure of the given angle from 180 degrees: 180 degrees - 135 degrees = 45 degrees.The measure of the supplementary angle is therefore 45 degrees.What is 6/6 equivalent to
Answer:
1 whole
Step-by-step explanation:
Answer:1
Step-by-step explanation:You have 6 sixths. That means it is a whole number
Is 3/x+4/y=2 linear or non-linear
The given equation is non-linear.
Solution:
Given expression is [tex]\frac{3}{x} +\frac{4}{y} =2[/tex].
To find the equation is linear or non-linear.
Linear equation is a straight line which is in the form ax + by + c = 0.
Otherwise it is non-linear equation.
⇒ [tex]\frac{3}{x} +\frac{4}{y} =2[/tex]
Do cross multiply for the fractions to make the denominators same.
⇒ [tex]\frac{3y}{yx} +\frac{4x}{yx} =2[/tex]
⇒ [tex]\frac{3y+4x}{yx} =2[/tex]
Do cross multiplication.
⇒ [tex]3y+4x=2yx[/tex]
⇒ [tex]4x+3y-2yx=0[/tex]
Here, there is no constant term.
So, the equation is not a straight line.
Hence, the given equation is non-linear.
Simplify. (x^4)^3
Write your answer without parentheses.
Answer:
x^12
Step-by-step explanation:
just 3 math problem show step by step
1 5x+y=-12
5x-7y=4
2. -5x+4y=-3
-9x-y=-30
3. -9x+6y=27
-x+3y=10
please help me out
Answer:
see attached picture please
Of 98 bikes 37 are mountain bikes. How many are not
Answer:
61 bikes are regular the other 37 are moutain bikes.
Step-by-step explanation:
can i have brainliest
Answer:
61 bikes are not mountain bikes.
Step-by-step explanation:
To figure this out you have to simply subtract the amount of mountain bikes from the total amount of bikes.
98 - 37 = 61
Now you know that 61 of the bikes are not mountain bikes.
I hope this helped! :)
~CaityConcerto
Solve the linear equation for y. -5x+y=7
Answer:
5x+7
Step-by-step explanation:
Wills,Donald, and Maya found a quarter, a dime, a nickel, and 2 pennies when they were cleaning the house. They traded their dad for some other coins that were worth the same amount of money and split it evenly. How much did they get
What is the steps for solving 3x-10=84 and tell me what x equals
Answer:
Step-by-step explanation:
you move the -10 to the other side of the equation
3x=84+10
3x=94
x=31 1/3
Answer:
Your goal is to get x by itself
3x-10=84
First you want to add 10 to each side
3x=94 (-10+10=0, 84+10=94)
Last step is divide each side by 3
x= 31 and 1/3 or 94/3
Hope this helps ;)
Can someone show me how to do this please?
⦁ A sculptor is planning to make two triangular prisms out of steel. The sculptor will use for the bases of one prism and for the bases of the other prism.
⦁ Is similar to ? Explain.
⦁ Suppose the sculptor makes both prisms with the same height. Which prism will have a greater volume? How many times greater? Show your work.
Answer:
Answer:
they are similar as the enlargement has a scale factor divide it then woke it out
how many positive integers have a value between the square root of 8 and the square root of 72?
Answer:
6 numbers
Step-by-step explanation:
Note that [tex]4<8<9,[/tex] then
[tex]\sqrt{4}<\sqrt{8}<\sqrt{9}\\ \\2<\sqrt{8}<3[/tex]
and [tex]64<72<82,[/tex] then
[tex]\sqrt{64}<\sqrt{72}<\sqrt{81}\\ \\8<\sqrt{72}<9[/tex]
List all positive integers which have a value between [tex]\sqrt{8}[/tex] and [tex]\sqrt{72}:[/tex]
[tex]3,\ 4,\ 5,\ 6,\ 7,\ 8[/tex]
Hence, there are 6 such numbers
What is the answer to -2(3x+2)=2x+6
Answer:
x=-5/4
Step-by-step explanation:
-2(3x+2)=2x+6
-6x-4=2x+6
-6x-2x-4=6
-8x-4=6
-8x=6+4
-8x=10
x=10/-8
x=-10/8
simplify
x=-5/4
How many solutions does this system have? y = 3/4x - 5. - 3 x + 4 y = - 20.
Answer:
infinite
Step-by-step explanation:
The system of equations is graphed on the coordinate plane.
y=−12x−1y=14x−4
Enter the coordinates of the solution to the system of equations in the boxes.
(
,
)
A graph with a blue line passing through coordinates (0, -4) and (4, -3) and a red line passing through coordinates (0, -1) and (4, -3).
Answer:
Step-by-step explanation:
y = -12x - 1
y = 14x - 4
-12x - 1 = 14x - 4
-1 + 4 = 14x + 12x
3 = 26x
3/26 = x
y = 14x - 4
y = 14(3/26) - 4
y = 42/26 - 4
y = 42/26 - 104/26
y = - 62/26 reduces to - 31/13
solution : x = 3/26 and y = -31/13 or (3/26,-31/13)
can someone answer this with work :)
Answer:
A15+B10=cents
Step-by-step explanation:
The number of seahorses is 4 times the number of sea urchins.There are 16 seahorses write and solve and equation to find how many seahorses are there.
Answer:
[tex]4\ sea\ urchins[/tex]
Step-by-step explanation:
The correct question is
The number of seahorses is 4 times the number of sea urchins.There are 16 seahorses write and solve and equation to find how many sea urchins are there.
Let
x ----> the number of seahorses
y ----> the number of sea urchins
we know that
The number of seahorses is 4 times the number of sea urchins
so
[tex]x=4y[/tex] -----> equation A
There are 16 seahorses
so
[tex]x=16[/tex] ----> equation B
Solve the system by substitution
substitute equation B in equation A
[tex]16=4y[/tex]
solve for y
divide by 4 both sides
[tex]y=16/4\\y=4\ sea\ urchins[/tex]
Answer:
4.
Step-by-step explanation:
if 4 is the number of Urchins 4*4 is 16 which is how many seahorses there are.