Answer:
$48
Step-by-step explanation:
To start off, we know that Avery put 20% of the $80 in her bank account. We can figure out how much 20% of 80 is by multiplying 80 by 20% and then subtracting that number from 80. Remember to switch 20% to its decimal form (20% -> .2).
Step 1) 80 x .2 = 16
Step 2) 80 - 16 = 64
Next, we have to figure out how much 1/4 of the remaining $64 would be. We just simply divide 64 by 4 to figure out how much Avery spent.
Step 3) 64 / 4 = 16
Lastly, since we know Avery spent 16 dollars, we can subtract the 16 from 64 to get our final answer.
Step 4) 64 - 16 = 48
Avery kept $44 of the $80 as cash after putting 20% into a bank account and spending 1/4 of it.
Avery received $80 in cash for mowing lawns. Let's calculate how much she kept after her transactions. First, she put 20% of the $80 into her bank account. Calculating 20% of $80 involves multiplying $80 by 0.20, resulting in $16. Next, Avery spent 1/4 of the $80, which equals $20, as $80 divided by 4 gives $20. To find the amount Avery kept as cash, we subtract the amounts she put in her bank and spent from the original $80.
$80 - $16 - $20 = $44
Therefore, Avery kept $44 of the $80 as cash.
The probability that a certain state will be hit by a major tornado (category F4 or F5) in any single year is 1/18. Use this information to answer the questions below
(A) What is the probability that the state will be hit by a major tornado two years in a row?
Answer:
The probability that the state will be hit by a major tornado two years in a row is 0.00309.
Step-by-step explanation:
Independent events are those events that are not affected by the occurrence (or no occurrence) of other events. These events do not affect the probability of another even taking place.
For example, the events of winning a lottery and being late for work are independent or the events of taking a cab home and making dinner are also independent.
In this case we are provided that the probability that a certain state will be hit by a major tornado is, [tex]\frac{1}{18}[/tex].
Consider the event that a state was hit by the major tornado.
The event of the major tornado hitting a state a second time next year is not dependent on the fact that it had already hit that state last year.
The two events are independent.
Compute the probability that the state will be hit by a major tornado two years in a row as follows:
P (Tornado hits twice) = P (Tornado in 1st year) × P (Tornado in 2nd year)
[tex]=\frac{1}{18}\times \frac{1}{18}\\=0.00309[/tex]
Thus, the probability that the state will be hit by a major tornado two years in a row is 0.00309.
The probability that a state will be hit by a major tornado two years in a row, given that the probability for any single year is 1/18, is 1 in 324.
Explanation:The question is asking about the probability that a certain state will be hit by a major tornado two years in a row, given that the probability for any single year is 1/18. In this question, the two events are independent, meaning that the occurrence of a tornado in one year does not affect the occurrence of a tornado in the next year. Therefore, we can simply multiply the probabilities for each year to find the two-year probability.
To calculate, we take the probability of a tornado in one year (1/18) and multiply it by the same probability for the next year (which is also 1/18).
So, the calculation is (1/18) * (1/18) = 1/324.
This means that the probability that the state will be hit by a major tornado two years in a row is 1 in 324.
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Can you help me with this question please
Answer:
Claire will get 12,800 pounds of interest
Step-by-step explanation:
6.4% of 200,000 is 12,800
How did I get 6.4? 1.6 * 4 = 6.4
Macy has saved up $50 to buy concert tickets, but the tickets cost $125. She is able to earn $15 per day by walking her neighbors dogs. How many days will Maisie have to walk the dogs to an enough money to buy the tickets? let “d” equal the number of days worked. also , what is the equation you would use to solve this ??
Answer:
125=15d+50
Step-by-step explanation:
Subtract what she has from what she needs so 125-50=75
Then divide that by the amount of money she makes a day to figure out how many days she'll need to work so, 75/15=-5
She will have to work 5 days in order to have enough to buy her ticket
Answer:50+15d=125
5 days
Step-by-step explanation:
Subtract 50 from both sides to get 15d=75 then divide both sides by 15 and the answer is 5 days
all of the following are equivalent except
7x2
4x+3x
(4+3)x
7x
Answer:
7x2
Step-by-step explanation:
7x2 is 14 and all the other ones equal 7
4x+3x,(4+3)x, and 7x are equivalent except 7x^2
Let's solve:
4x+3x=7x
(4+3)x=7x
Hope it will help u...
Ju Wenjun is an ecologist who studies the change in the tiger population of Siberia over time. The relationship between the elapsed time ttt, in years, since Ju Wenjun started studying the population, and the number of tigers, N(t)N(t)N, left parenthesis, t, right parenthesis, is modeled by the following function N(t)=650⋅(1625)t
Complete the following sentence about the rate of change in the tiger population.
Round your answer to two decimal places.
The number of tigers decays by a factor of \dfrac45
5
4
start fraction, 4, divided by, 5, end fraction every
Answer:
The number of tigers decays by a factor of
[tex]\dfrac{4}{5}[/tex] every 0.50 years
Explanation:
The correctly written function is
[tex]N(t)=650\cdot \bigg(\dfrac{16}{25}\bigg)^t[/tex]
Convert 16/25 into its equivalent form (4/5)²
[tex]N(t)=650\cdot \bigg(\dfrac{4}{5}\bigg)^{2t}[/tex]
If you make t = 1/2, this is half-year, the population of tigers will decay by a factor of 4/5 in that time. Every time the half-year passes, the population is multiplied by 4/5, which means that the polulation will decay by a factor of 4/5 whenever half a year elapses.
Hence, the number of tigers decays by a factor of 4/5 every 0.50 years.
The tiger population model indicates a decay by a factor of 4/5 every year. This factor shows the yearly reduction rate for the tiger population in Siberia.
To determine the rate of change in the tiger population modeled by the function N(t) = [tex]650 \cdot \left(\frac{16}{25}\right)^t,[/tex] we look at the decay factor in the exponential function. The base of the exponent, [tex]\frac{16}{25}[/tex], indicates that the population is decaying.
This decay factor can be expressed as [tex]\frac{4}{5}[/tex], where every year, the number of tigers decays by a factor of [tex]\frac{4}{5}[/tex]. Thus, we can complete the sentence as follows:
The number of tigers decays by a factor of [tex]\frac{4}{5}[/tex] every year.
find the cube roots of -8. Write the answer in a+bi form
Answer:
[tex]-2 + 0i[/tex]
Step-by-step explanation:
Step 1: Find the answer
[tex]\sqrt[3]{-8}[/tex]
[tex]\sqrt[3]{(-2)^3}[/tex]
[tex]-2[/tex]
[tex]-2 + 0i[/tex]
Answer: [tex]-2 + 0i[/tex]
C is directly proportional to the square of D and when C=32, D= 4. Find C when D= 3
Answer:C=6
Step-by-step explanation:C directly proportional to D
C=kD where k=constant
C=32, D=4×4
32=k16
K=32÷16
K=2
Now D=3 and k=2
C=kD
C=2×3
C=6
Answer: c=18
Step-by-step explanation:
C is directly proportional to square of D
C € D2
€ rep directly proportional
C=kd2
K is a constant
C=32
D=4
Substitute
32=k(4^2)
32=k(16)
32=16k
K=32/16
K=2
Since we know our constant k to be 2
Substitute
We are looking for c,when d=3
C=kd2
C=2×(3^2)
C=2×9
C=18
In ΔWXY, the measure of ∠Y=90°, XW = 53, YX = 28, and WY = 45. What is the value of the cosine of ∠X to the nearest hundredth?
Answer:
Step-by-step explanation:
0.53 is the answer to the nearest hundredth.
To calculate the cosine of ∠X in the right triangle WXY, we use the ratio of the adjacent side length (YW = 45) to the hypotenuse length (XW = 53), which results in approximately 0.85 when rounded to the nearest hundredth.
In ΔWXY, we're given that ∠Y is a right angle, meaning that the triangle is a right triangle. To find the cosine of ∠X, we can use the definition of cosine in a right triangle, which is the ratio of the adjacent side to the hypotenuse in the context of the angle we're interested in. Since ∠X is across from side YW, and XW is the hypotenuse, we'll take the length of YW as the adjacent side. The formula for the cosine of angle X then becomes:
cos(∠X) = adjacent/hypotenuse = YW / XW = 45 / 53
Calculating this value, we get cos(∠X) = 0.8490566037735849, which when rounded to the nearest hundredth is 0.85.
Is 4.39463 a natural number
Answer:
i wanna say yes it is a natural number, i hope this helps
Can someone check if this is right
A rectangle is 4 times longer than it is wide. The perimeter of the rectangle is 30 cm. Find the dimension of the rectangle.
Width is 3 cm and length is 12 cm
Step-by-step explanation:
Step 1: Let the width of the rectangle be x. Then the length = 4x. Find the dimensions if perimeter = 30 cmPerimeter of the rectangle = 2 (length + breadth)
30 = 2(x + 4x)
30 = 10x
⇒ x = 30/10 = 3
⇒ 4x = 12
Help please, I’m stressing and I’m going to have a mental break down
Answer:
Step-by-step explanation:
Volume = surface area of base * height
[tex]=\frac{25}{4}*\frac{8}{5}\\\\=5*2=10\\\\=10 units^{3}[/tex]
How many revolutions is 900 degrees
9 revolutions
3 revolutions
2.5 revolutions
4.5 revolutions
Answer: 2.5
Step-by-step explanation:
One complete revolution equals 360 degrees. To find out how many revolutions 900 degrees represent, you divide 900 by 360 resulting in 2.5 revolutions.
Explanation:To ascertain the number of revolutions in 900 degrees, consider that a full circle encompasses 360 degrees. Dividing 900 by 360 yields 2.5, revealing that 900 degrees translates to 2.5 revolutions. This calculation stems from the fundamental concept that each complete revolution covers 360 degrees. In essence, the formula involves dividing the given degree measure by the standard degree value for a full revolution. Consequently, this approach facilitates the conversion of angular measurements into a more comprehensible representation of revolutions, aiding in the interpretation of rotational or circular motions within mathematical or physical contexts.
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Mr. fudge is going to roll two fair dice. what is the probability that the sum will be 4 or less?
Answer:
I think it's 8\12
Step-by-step explanation:
there are numbers from 1 to six on each dice that means there are 12 numbers on the two dice together and it says four or less there are 1,2,3 and four on the dice that is four or less double that and you get 8when you put that over 12 it becomes 8/12. I hope it helps alot
The probability of rolling a sum of 4 or less with two dice is 6 out of 36 outcomes, which simplifies to 1/6 or 0.1667 when rounded to four decimal places.
Explanation:To calculate the probability that the sum of two rolled dice will be 4 or less, we can list all possible outcomes (the sample space) and then count the favorable outcomes. A single six-sided die has 6 faces, so the total number of outcomes when rolling two dice is 6 × 6 = 36. The pairs of dice that sum to 4 or less are: (1,1), (1,2), (1,3), (2,1), (2,2), and (3,1). There are 6 such pairs, so the probability of rolling a sum of 4 or less is 6/36, which simplifies to 1/6.
The probability should be rounded to four decimal places if necessary, but in this case, the fraction simplifies exactly to 1/6. Therefore, the probability is 0.1667 when rounded to four decimal places.
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A birthday hat is the same shape as a *
triangle
cone
ice cream scoop
write an equation of the line that is parallel to 5x+20y=10 and passes through the point (8,3).
Answer:
20y = -5x + 10
y = -1/4x + 1/2
y - 3 = -1/4(x - 8)
y - 3 = -1/4x + 2
y = -1/4x + 5
Step-by-step explanation:
Here is a list of numbers: -10, -11, -8, 17, -17, 4, -11 ,12 ,12 ,-4 State the median.
Answer:
The answer is (-6).
Step-by-step explanation:
Order the numbers from smallest to largest.
Then start eliminiating one from left, one from right until you get the median. Since in our case the median is in between (-8) and (-4). Sum the numbers and divide them by 2.
Good luck!
Does 0=-4p+4p have a solution
Answer:
No it doesn’, the result will be 0 as -4 + 4 = 0
Try it on your calculator and see
Step-by-step explanation:
Answer:
Simplifying
0 = -4p + 4p
Combine like terms: -4p + 4p = 0
0 = 0
Solving
0 = 0
Couldn't find a variable to solve for.
This equation is an identity, all real numbers are solutions.
Step-by-step explanation:
What is the volume of a cylinder with base radius 3 and height 8? Either enter an exact answer in terms of \piπpi or use 3.14, for \piπpi and enter your answer as a decimal.
answer is 72 then pi symbol
What is the volume?
17 cm
13 cm
5 cm
It’s a triangular prism.
Answer:
1105 cubic centimetre
Step-by-step explanation:
volume of rectangular prism
[tex] = 17 \times 13 \times 5 \\ = 1105 \: {cm}^{3} [/tex]
What is... 4X + 1/2 (4X + 6) = 12
Answer:
9/6 or 3/2 or 1 1/2
Step-by-step explanation:
Do distributive property to get rid of the parenthesis
4x + 2x + 3 = 12
combine like terms
6x + 3 = 12
move the 3 over by subtraction
6x = 9
divide by 6
x = 9/6 or 3/2 or 1 1/2
Answer:
Exact Form:
X
=
3 /2
Decimal Form:
X
=
1.5
Step-by-step explanation:
A car travels at an average speed of 64 miles per hour. How long does it take to travel 224 miles?
Answer:
3.5 hours
Step-by-step explanation:
Use the formula:
distance=rate*time
224=64t
Divide by 64 on both sides
t=3.5
So, it takes 3.5 hours to travel 224 miles
Hope this helps! :)
6 times a number decreased by 5
Answer:
[tex]6n - 5[/tex]
Step-by-step explanation:
Step 1: Rewrite as a numerical expression
[tex](6 * n) - 5[/tex]
[tex]6n - 5[/tex]
Answer: [tex]6n - 5[/tex]
If needed, solve
[tex](6 * n) - 5 + 5 = 0 + 5[/tex]
[tex]6n / 6 = 5 / 6[/tex]
[tex]n = 5/6[/tex]
Answer:It is the result is 7 more than the sum of 3 times the number and 13.
Step-by-step explanation:
Find the perimeter of the figure.
square with a measure of 1x1
triangle with a measure of 5x3x3
Answer:
what does the shpe look like
Step-by-step explanation:
Answer:
perimeter=2
perimeter = 11
Step-by-step explanation:
pls help me i’ll give u a brainlest
Answer:
9 square feet.
Step-by-step explanation:
First, set up this equation: 486 = 6(x^2)
Divide 486 by 6 to get 81, and square root both sides to get x = 9.
I need help plz it is for khan academy
Answer:
slope = 1
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 1, 0) and (x₂, y₂ ) = (0, 1)
m = [tex]\frac{1-0}{0+1}[/tex] = 1
What is the surface area of the pyramid? units²
Answer:
A=lw+l(w
2)2+h2+w(l
2)2+h2
Step-by-step explanation:
Answer:
95 units²
Step-by-step explanation:
Find the area of the base and the four triangles
Base
(5)(5) = 25 units²
Triangles
1/2(7)(5)*4
1/2(140)
70 units²
Add them together -- 70+25 = 95 units²
What’s common denominators for 2/5 and 3/5
Answer:
5
Step-by-step explanation:
The fractions already have a common denominator of 5
The area of a trampoline is 49 pi sqared. What's the diameter of the trampoline?
Answer:
The diameter is 14
Step-by-step explanation:
The area of a circle is given by
A = pi r^2
We know the area is 49 pi
49 pi = pi r^2
Divide each side by pi
49 pi/ pi = pi r^2/pi
49 = r^2
Take the square root of each side
sqrt(49) = sqrt(r^2)
7 =r
We want the diameter
d = 2r
d = 2*7
d = 14
a and b are complementary angles. Za measures 44°.
What is the measure of b?
Answer:
46
Step-by-step explanation:
So angle b equals to 46 degrees
Complementary angles equal to 90 degrees when added together. So set the equation to 90.
44+x=90
Subtract 44 from both sides
x=46