How can you determine the sale price if you are given the regular price and the percent of markdown? (List the steps)

The required probability is 0.45

We have total 26 letters in English, of which 21 are consonants and 5 are vowels.

According to the question, we have to select 5 of them of which 4 will be consonants and 1 will be vowel.

Suppose we want to have the vowel in the first selection, so the probability of picking a vowel is equal to the quotient between the number of vowels and the number of total number of letters.

So the probability is 5/26

Now, a letter has been selected, so in the set, we have 25 letters left.

In the next 4 selections, we must select consonants.

In the second selection the probability is 21/25

In the third selection the probability is 20/24

In the fourth selection the probability is 19/23

In the last selection the probability is 18/22

So, the probability is (5/26)×(21/25)×(20/24)×(19/23)×(18/22)

Now, remember that we take that the vowel must be in the first place, but it can be in any five places, so if we add the permutations of the vowel letter we have,

P = 5×(5/26)×(21/25)×(20/24)×(19/23)×(18/22) = 0.45

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Answer:

33 Minutes

Step-by-step explanation:

Just take 11/2 time 6 and get 33 minutes.

Answer:fbf

Step-by-step explanation:

Answer:

The rule which best represents the dilation that was applied to Triangle ABC to create A’B’C’ will be:

(x, y) → (1/2x, 1/2y)

Step-by-step explanation:

Given the vertices of a triangle

After the dilation, the vertices of an image triangle be

If we closely observe, we can notice that the image triangle vertices A'B'C' are half of the original triangle ABC.

i.e. (x, y) → (1/2x, 1/2y)

verification

A(-2, -4) → A'(-2/2, -4/2) = A'(-1, -2)

B(2, -4) → B'(2/2, -4/2) = B'(1, -2)

C(0, 2) → C'(0/2, 2/2) = C'(0, 1)

Thus, it is verified and we conclude that the rule which best represents the dilation that was applied to Triangle ABC to create A’B’C’ will be:

Answer:

#4 is c

Step-by-step explanation:

bc the slope is negative & they y intercept is 5

Answer:

4. c

5. y=7/8x+1

6. y=-10x

7. y=2.5-7

8. y=1.2x

9. y=-5x-8

Step-by-step explanation:

4. because the graph is in a negative direction and the point is higher than 0

5. non-proportional means it doesn't pass through (0,0)

6. the y-intercept would be 0 so there is no b

7. the slope would be positive because it says it goes from left to right

8. same explanation as 6

9. only one with both a negative slope and y-intercept

By using the formula of compound interest we can say that at the end of second year Mrs. Smith will have $65,771.58.

The interest earned from the initial deposit plus the cumulative interest is known as compound interest.

A = P(1 + r/n)^(nt), where P is the principle balance, r is the interest rate, n is the number of times interest is compounded per time period, and t is the total number of time periods, is the formula for compound interest.

Given that,

For first year,

P (principal) = $60,000.00

R = 4.3%

n  = 1

t = 1

First, convert R as a percent to r as a decimal

r = R/100

r = 4.3/100

r = 0.043 rate per year,

Then solve the equation for A

A = P(1 + r/n)^nt

A = 60,000.00(1 + 0.043/1)^(1×1)

A = 60,000.00(1 + 0.043)^(1)

A = $62,580.00

A = P + I  where,

P (principal) = $60,000.00

I (interest) = $2,580.00

So, by the end of second year Mrs. Smith will have $62,580.00.

Now, the amount calculated from first year will become the principle for second year.

For second year,

P (principal) = $62,580.00

R = 5.1%

n=1

t=1

First, convert R as a percent to r as a decimal

r = R/100

r = 5.1/100

r = 0.051 rate per year,

Then solve the equation for A

A = P(1 + r/n)^nt

A = 62,580.00(1 + 0.051/1)^(1×1)

A = 62,580.00(1 + 0.051)^(1)

A = $65,771.58

A = P + I where,

P (principal) = $62,580.00

I (interest) = $3,191.58

So, by the end of second year Mrs. Smith will have $65,771.58.

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Answer:

a

Step-by-step explanation:

bc there zapping at the same spot which will not rotate around

Answer: It is $42.4

Step-by-step explanation: Multiply (0.20)(53), you get 10.6, now that's the price that is discounted, so subtract that from the total, to get $42.4. If you want to check your answer, do 42.4/53 and you would get 0.80, or 80%. That is what you should get since you have a 20% discount from 100% of a product.

Answer:

the sales price is $10.60

Step-by-step explanation:

to find 20% of 53, I multiplied 53 by 20 and 100 by a (i used the variable a to substitute for the answer we are going to get)

53 x 20 = 1060

100 x a = 100a

In order to get "a" we have to divide by 100 for each number.

1060 ÷ 100 = 10.6

100a ÷ 100 = a

in conclusion, a = 10.6, or $10.60 hope this helps :)

Answer:

The length of the third side of the triangle is 30.

Step-by-step explanation:

Here is the formula for the Pythagorean Theorem:

[tex]a^{2} + b^{2} = c^{2}[/tex]

The hypotenuse, based on the problem, is 50. Anyways, let's get back to calculating!

We need to multiply 40 times 40 and 50 times 50.

40 times 40, or 40 squared, equals to 1600.

50 times 50, or 50 squared, equals to 2500.

[tex]c^{2} - b^{2} = a^{2}[/tex]

Now, let's subtract. 2500 - 1600 = 900. We need to find the square root of 900--which is 30, because 30 times 30, or 30 squared, equals to 900.

Answer:

30

Step-by-step explanation:

c=√a^2+b^2

a=√c^2-b^2 = √50^2-40^2 = 30

Answer:

B) angle R=angle U  C) angle S=angle V  E) QR=TU  F) QS=TV,

Step-by-step explanation:

We will need to use the substitution method to solve the question. The difference between the two numbers is 11.5

Substitution method is used to solve a system of equations. First the equation is solved for one variable and then the value is used in the other equation to solve for the other unknown variable. In this question we have been told the sum of two numbers is 32. Let us take the two numbers as x and y. Then we can say that

x+y=32 ...(i)

Next we know that when 5 is subtracted from 4 times one number the result is 8 times the other number, we can write it as

4x-5=8y

4x-8y=5....(ii)

So we have two equations

x+y=32

4x-8y=5

We will multiply equation (i) by 4 to cancel out x and solve for y

4x+4y=128

4x-8y=5

(-)  (+)   (-)

-----------------

    12y=123

y=10.25

We substitute the value of y in equation (i)

x+y=32

x+10.25=32

x=32-10.25=21.75

We need to find the difference between two number which is x-y=21.75-10.25=11.5

Therefore we found out by substitution method that the difference between the two numbers is 11.5

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limₐ→∞xₙₐ= limₙ→∞xₙ= L;

Let xₙ be a monotonically increasing sequence. Thus:

xₙ₊₁≥xₙ

Consider a subsequence of xₙ namely xₙₐ. Then:

xₙₐ≥xₙ, ∀nₐ≥n

We are also given that:

limₐ→∞xₙₐ=L

Given that fact we know that xₙₐ is bounded above. Therefore:

xₙ≤xₙₐ≤L

Now by monotone convergence theorem a monotone bounded sequence must be convergent. Also by uniqueness of a limit for a convergent sequence and the fact that all its subsequences are also convergent to the same limit:

limₐ→∞xₙₐ= limₙ→∞xₙ= L

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There is only one value of c that satisfies the requirements.

=======================================================

Work Shown:

Let's compute the function value at the given endpoints of the interval.

[tex]f(x) = 4\sin(x)\\\\f(\pi) = 4\sin(\pi) = 0\\\\f(0) = 4\sin(0) = 0\\\\[/tex]

Which means,

[tex]f'(c) = \frac{f(b)-f(a)}{b-a}\\\\f'(c) = \frac{f(\pi)-f(0)}{\pi-0}\\\\f'(c) = \frac{0-0}{\pi}\\\\f'(c) = \frac{0}{\pi}\\\\f'(c) = 0\\\\[/tex]

We want to find all values of c such that the derivative is 0.

This can be rephrased into wanting to solve [tex]4\cos(x) = 0\\\\[/tex] since the derivative of sine is cosine

In other words, [tex]f(x) = 4\sin(x)\\\\[/tex] turns into [tex]f'(x) = 4\cos(x)\\\\[/tex]

Solving that equation leads to:

[tex]4\cos(x) = 0\\\\\cos(x) = 0\\\\x = \frac{\pi}{2}\\\\[/tex]

Use a reference table or the unit circle to determine this.

This is the value of c that satisfies f ' (c) = 0, such that [tex]0 < c < \pi[/tex]. No other value of c works.

If you graphed f(x) = 4sin(x), and only focused on the interval [0,pi], then you'll find that there's a horizontal tangent at the point (pi/2, 4). Note how the endpoints have the same y value so that's why the average rate of change over [0,pi] is 0.

Side note: this is an application of Rolle's Theorem

Answer:

He did an error because he multiplied equation 2 wrongly.

The correct multiplication should have been:

-6x + 9y = 6        Multiply equation by 2 by 3

Step-by-step explanation:

Given the system of equations

3x-5y=4

-2x+3y=2

This is what student solved

6x - 10y = 8        Multiply equation 1 by 2

-6x + 3y = 6        Multiply equation by 2 by 3

_________

       -7y = 14

          y = -2

He did an error because he multiplied the equation 2 wrongly.

The correct multiplication should have been:

-6x + 9y = 6        Multiply equation by 2 by 3

NOW, HERE IS THE CORRECT VERSION

6x - 10y = 8        Multiply equation 1 by 2

-6x + 6y = 6        Multiply equation by 2 by 3

_________

       -4y = 14

          y = -2/7

m perpendicular to q is the correct answer

Answer:

A, C and D

they all connect at a right angle. it is not b because p and q are parallel.

Answer:

x-y+2z=3

Step-by-step explanation:

EZ

Answer:

m=81

Step-by-step explanation:

14 x 1.5 = 21

54 x 1.5 = 81

Answer:

m = 81

Step-by-step explanation:

divide by 54/14 from both sides.

you'll remain with 81/m

then divide with m/1 on both sides giving you m= 81

Answer: $2,200

Step-by-step explanation:

The opportunity cost is the sum of the amount she spent on the election and the amount she would lose in total from serving on the student government.

Amount she would lose in wages

= 7 * 10 hours * 30 weeks

= $2,100

Opportunity cost = 2,100 + 100

= $2,200

Answer:

195 = 3 mph

Step-by-step explanation:

This is probly wrong but I tried

Answer:

He had 3 2/5 pies left when he got home.

Step-by-step explanation:

Hope this helped have an amazing day!

The fraction of candy cane pies that Dasher left is 8/5.

In such a fraction, the value that appears above the horizontal line is referred to as the numerator.

In another word, if we divide two numbers by each other then the upper word is called the numerator, and the lower word is called the denominator.

As per the given,

Number of candy cane pies that Dasher order = 4

Fraction he ate = 3/5

Left = 4 - ate

Left = 4 - (3/5)4

Left = 4(1 - 3/5)

Left = 4(2/5)

Left = 8/5

Hence "The fraction of candy cane pies that Dasher left is 8/5".

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Answer:

2/4-1/3= 6/12-4/12

=2/12

=1/6

Answer:

26

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define

x + y + 5

x = 6

y = 15

Step 2: Evaluate

Answer:

[tex]x = bc + 2b[/tex]

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$161.50

Step-by-step explanation:

4.25% of $3800 is $161.50

Answer:

4

Step-by-step explanation:

To get 22 with four consecutive integers, we need the integers 4, 5, 6, and 7.

(4 and 5 equal 9, then 9 and 6 equal 15, and 15 and 7 equal 22.)

4 is the smallest of these four, and thus the least of these.

Answer:

The is -12/7 or -1 5/7

Step-by-step explanation:

7x+12=0

-12 -12

7x=-12 divided by 7 on both sides hope this helps

Answer:

Step-by-step explanation: