The answer to the first question.

Final answer:

To find the probability of Damon choosing two white socks, calculate the probabilities step by step. The probability of Damon picking two white socks is approximately 33%.

Explanation:

To find the probability of Damon choosing two white socks from his drawer, we can calculate it step by step:

Picking the first white sock: 14 white socks out of 24 total socks, so probability = 14/24

Picking the second white sock: 13 white socks left out of 23 total socks, so probability = 13/23

Multiplying the two probabilities together: (14/24) x (13/23) = 91/276, which simplifies to approximately 0.330 or 33%.

Answer:

x = 12 is the excluded value

Step-by-step explanation:

An excluded value is the value/s of x that make the denominator of the rational function equal to zero as this would make the function undefined.

Equate the denominator to zero and solve for x

6x - 72 = 0 ⇒ 6x = 72 ⇒ x = 12 ← excluded value

Answer: x=12

Step-by-step explanation:

Answer:

x=-1 should be your answer

Answer:

see explanation

Step-by-step explanation:

Given

y = x² + 2x + 1

To find the zeros let y = 0, that is

x² + 2x + 1 = 0 ← x² + 2x + 1 is a perfect square

(x + 1)² = 0

x + 1 = 0 ( subtract 1 from both sides )

x = - 1 with multiplicity 2 ← zero

This indicates that the graph has a minimum turning point at (- 1, 0)

Note from your table

the value for x = - 1 should be y = 0 ( not - 2 )

Answer:

10.4 cents

Step-by-step explanation:

40 pecans/$3.84 gives you pecans per dollar

The answer would be 5227. If you subtract what is in parenthesis first and then multiply it that should be your answer.

Answer:  [tex]5,227[/tex]

Step-by-step explanation:

Given the expression [tex]63*83-(6-4)[/tex] you can simplify it by applying these steps:

First, make the subtraction of the numbers that are inside of the parentheses:

 [tex]=63*83-(2)[/tex]

Apply multiplication of signs to eliminate the parentheses. Remember that:

[tex](-)(-)=+\\(+)(+)=+\\(-)(+)=-[/tex]

Then:

[tex]=63*83-2[/tex]

Now, make the multplication indicated:

[tex]=5,229-2[/tex]

Finally, subtract both numbers:

[tex]=5,227[/tex]

Answer:

C. 4s < 20

Step-by-step explanation:

One side measures s. The perimeter is the sum of the lengths of the 4 sides, so the perimeter is s + s + s + s. Since all side lengths are equal, the perimeter is simply 4s. The perimeter is less than 20 inches, so 4s must be less than 20.

The inequality is

C. 4s < 20

Answer:

The answer is C on Edge 2021

Step-by-step explanation:

C : 4s < 20

Hope this helps!

Answer:

8x+3

Step-by-step explanation:

Take 1/5 of 15x and 15

Then add 5x

8x+3 is the answer

Answer:

X * (X +1) = 420

X^2 + X = 420

X^2 + X -420 = 0

X = 20

Step-by-step explanation:

For this case we have [tex]20 * 21 = 420.[/tex] We must find an equation that allows us to find the smallest value. So:

Let "x" be the variable that represents the smallest number. Thus, "x + 1" represents the consecutive integer. The equation would be given by:

[tex]x * (x + 1) = 420\\x ^ 2 + x = 420\\x ^ 2 + x-420 = 0[/tex]

To factor, we must find two numbers that multiply as a result -420 and sum as a result 1.

These numbers are:

[tex]21, -20\\21-20 = 1\\21 * (-20) = -420[/tex]

Thus, the factorization is:

[tex](x-20) (x + 21) = 0[/tex]

The roots are:

[tex]x = 20\\x = -21[/tex]

Effectively, the smallest integer was found,[tex]x = 20[/tex].

Answeer:

[tex]x ^ 2 + x-420 = 0\\(x-20) (x + 21) = 0[/tex]

Answer:

B. 5040

Step-by-step explanation:

We want to find the value of [tex]7![/tex].

We read [tex]7![/tex] as ''seven factorial''

By definition, [tex]n!=n(n-1)(n-2)...3\cdot2\cdot1[/tex]

We need to find the product of all the positive integers less than or equal to the given number.

This implies that:

[tex]7!=7\times 6\times 5\times 4\times 3\times 2\times 1[/tex]

[tex]7!=5040[/tex]

D and B because you at the picture

The correct answers are A, B, and C for the given function y = (2/3)x.

The slope of a line is defined as the gradient of the line.

The equation y = (2/3)x represents a line in the coordinate plane, where the x value of a point on the line is multiplied by the constant 2/3 to get the y value of that point.

A. The equation y = (2/3)x represents a proportional relationship because for every change in x by some unit, there is a corresponding change in y by 2/3 times that unit.

B. The unit rate of change of y with respect to x is 2/3. This means that for every unit increase in x, the value of y will increase by 2/3 times that unit.

C. The slope of the line is 2/3. The slope of a line gives you the rate of change of y with respect to x, and in this case, the slope is 2/3.

D. A change of three units in x results in a change of two units in y. Since the unit rate of change of y with respect to x is 2/3, a change of three units in x will result in a change of 2/3 × 3 = 2 units in y.

E. A change of three units in x results in a change of one unit in y is not true, because the unit rate of change of y with respect to x is 2/3, which is different from 1.

Therefore, the correct answers are A, B, and C.

Learn more about the Slope of the Line here:

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the third option

because 1/3 is not equal to three

where as if we replace the x with one in all the other we would find that the equation is correct.

Answer:

The length of the rug is [tex]7\ ft[/tex]

The width of the rug is [tex]3\ ft[/tex]

Step-by-step explanation:

Let

x----> the length of the rug

y----> the width of the rug

we know that

The area of the rug is

[tex]A=xy[/tex]

[tex]A=21\ ft^{2}[/tex]

so

[tex]21=xy[/tex] -----> equation A

[tex]x=y+4[/tex] -----> equation B

substitute equation B in equation A and solve for y

[tex]21=(y+4)y[/tex]

[tex]y^{2}+4y-21=0[/tex]

Solve the quadratic equation by graphing

The solution is [tex]y=3\ ft[/tex]

see the attached figure

Find the value of x

[tex]x=3+4=7\ ft[/tex]

therefore

The length of the rug is [tex]7\ ft[/tex]

The width of the rug is [tex]3\ ft[/tex]

Answer:

E(m) = 12m

Step-by-step explanation:

Your earnings will be the amount of times you mow the lawn * $12 per job

so if m is the amount of times and 12 is the amount your Earnings(E) = 12m

-x=2-3x+3

add 3x to both sides

2x=2+3

combine like terms

2x=5

divide by 2

x= 5/2

Answer:

The answer is x = 5/2.

Step-by-step explanation:

Add the like terms which are 3 & 2.  Add like variables which would be 3x added to both sides then you get 2x = 5. Divide by 2 on both sides to get x = 5/2.

Answer:

8.46

Step-by-step explanation:

59+6=65 65 divided by 508= 7.815 (7.82) 6 divided by 508=84.666 (8.67) then subtract 8.67 from 508 = 499.33 divided by 59 = 8.46 thats your answer.

Answer:

$8

Step-by-step explanation:

x=chaperone tickets

59(x+2)+6x=508

59x+118+6x=508

65x+118=508

65x=508

x=6

therefore 6+2=8

Answer:

I think it’s C

Step-by-step explanation:

The answer would be B, Supplementary Angle, Since half the circle would be 180 degrees also if this isn’t enough information,

2

You know that OA = 4 because the radius of the circle on the left is 4. So, subtract that from OP to find that AP = 5.

Finally, subtract BP, which is 3 because of the circle’s radius. You then find that AB = 2

Answer:

The answer is 2 i think.

Step-by-step explanation:

Answer:

a cylinder can model a log and a rectangular prism would model a board

Step-by-step explanation:

vocab

Answer:

a cylinder can model a log and a rectangular prism would model a board

Step-by-step explanation:

45:15 =

15:5 =

3:1

Normally, the ratio would be 45:15, but you should simplify like shown above.

The book to magazine ratio of the numbers of books and magazines Manny read over the summer is 3:1.

The student's question pertains to finding the ratio of books Manny read over the summer to the magazines he read. Given that Manny read 45 books and 15 magazines, these numbers can be turned into a ratio by placing them over each other (books/magazines). Therefore, the book to magazine ratio would be 45:15. However, this ratio can be simplified by dividing both numbers by their greatest common divisor, which in this case is 15. When both numbers are divided by 15, the simplified book to magazine ratio is 3:1. Hence, for every 3 books Manny reads he also reads 1 magazine.

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1 quarter = 25 cents

1 nickel = 5 cents

2 quarters = 25*2 = 50 cents

50 cents + 5 cents = 55 cents, or $0.55

2 quarters and one nickel is 55cents

job a would be the biggest money maker job. $15 an hour working at most 15 hours = $225. $8 an hour working 34 hours = $272. You would make $47 more at job a

Answer:

You should choose Job A.

Step-by-step explanation:

I did the math.

Answer:

D. Gabrielle is more justified in choosing not to get insurance

Step-by-step explanation:

Gabrielle is more justified in choosing not to get insurance because she is in good heath and haven't had the need to visit a doctor in a long time.

Chances are she'll be fine, at least until he health situation changes.

Juan on the other hand should find a way to afford the insurance, because of his failing health he can't predict his health costs in short term.  So, an insurance would be a great thing for him to have, it would at least give him some financial security because chances are his health costs would be higher than his premiums.

Answer: Reflection

Step-by-step explanation:

Looking at this as a reference they reflect across the y-axis

Answer:

1.25315*102

Step-by-step explanation:

The number 125.315 is already in standard form. This form, also known as scientific notation, simplifies the representation of large or small numbers. However, 125.315 doesn't need this kind of simplification.

The number 125.315 is already in standard form. In Mathematics, standard form, also known as scientific notation, refers to expressing a number as a number between 1 and 10 multiplied by a power of 10. The purpose is to simplify the representation of very large or very small numbers. For instance, 2000 would be written as 2 x 10^3 in scientific notation. However, 125.315 is not a large enough number that needs to be simplified in such a manner.

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Answer:

It is the secon option ∆TRS ≈ ∆TPQ ; SAS

Step-by-step explanation: angle t is equal to angle t because it is the same angle

line TR divided by line TP is equal to line TS divided by TQ

Answer:  The correct option is

[tex](B)~\triangle TRS\sim \triangle TPQ,~SAS\sim.[/tex]

Step-by-step explanation:  We are given to check whether the triangles in the figure are similar or not. If so, we are to state the similarity statement.

From the figure, we note that

in the triangles TPQ and TRS, we have

[tex]TP=42,~TQ=28,TR=42+6=48,~~TS=28+4=32.[/tex]

Therefore, the ratios of the corresponding sides of two triangles are

[tex]\dfrac{TP}{TR}=\dfrac{42}{48}=\dfrac{7}{8},\\\\\\\dfrac{TQ}{TS}=\dfrac{28}{32}=\dfrac{7}{8}.[/tex]

Now, in ΔTPQ and ΔTRS, we have

[tex]\dfrac{TP}{TR}=\dfrac{TQ}{TS},\\\\\\m\angle TPQ=m\angle TRS~~~\textup{[common angle]}[/tex]

So, triangles TPQ and TRS are similar by SAS proportionality postulate.

Thus, the correct option is

[tex](B)~\triangle TRS\sim \triangle TPQ,~SAS\sim.[/tex]

Answer:

Less than 100. Z=83

Step-by-step explanation:

The mean is the average found by adding the sum of the data points and dividing by the number of them. Here there are 3 cars whose speeds are 101, 116, and Z or unknown. The mean of them is 100. Solve for Z.

100 =(101+116+Z)/3

300=217+Z

83=Z

Answer:

y = 11.2 in

Step-by-step explanation:

Given a tangent and a secant from an external point to a circle, then

The square of the measure of the tangent is equal to the product of the external part and the entire secant, that is

5(5 + y) = 9²

25 + 5y = 81 ( subtract 25 from both sides )

5y = 56 ( divide both sides by 5 )

y = 11.2

Answer: y = 11.2

Step-by-step explanation:

Answer:

Step-by-step explanation:

The general form of a linear function is ax + b.

f(x) = ax + b

f(1) = a + b = -7

f(2) = 2a + b = -10

So using a system of equations we solve for 'a' and 'b'.

a + b = -7 | 2a + b = -10

We multiply the first one by -1.

-a - b = 7 | 2a + b = -10

And then we solve the system by elimination(by adding the equations):

a = -3

Solving for b: a + b = -7 <=> -3 +b = -7 => b = -4

So the general rule of the function is:

f(x) = -3x - 4

Answer:

$136.00

Step-by-step explanation:

100 + 12 +12 + 12

simple interest is only against the loan itself

compound interest is the loan plus interest . . .then that sum . . .again then that some

Answer:

Her monthly principal payment is D: $579.81 and monthly interest payment is 0.4375.

Step-by-step explanation:

Ok, in order to calculate the monthly principal and interest payment, we can use this relatively simple equation. The equation is:

[tex]M=P\frac{r(1+r)^{n} }{((1+r)^{n}-1) }[/tex]

Where variables represent the following:

M is your monthly payment.

P is your principal.

r is your monthly interest rate, calculated by dividing your annual interest rate by 12.

n is your number of payments (the number of months you will be paying the loan throughout the 30 years)

Then, in this case:

M=?

P=$105,000

5.25%=5.25/100=0.0525, then [tex]r=\frac{0.0525}{12} =0.004375[/tex]

[tex]n=12*30=360[/tex]

So, [tex]M=105,000\frac{0.004375(1+(0.004375))^{360} }{((1+(0.004375))^{360}-1)}[/tex] $

Solving this,

[tex]M=105,000\frac{0.004375(1.004375))^{360} }{((1.004375))^{360}-1)}[/tex] $

[tex]M=105,000\frac{0.004375(4.8141) }{((4.8141))-1)}[/tex] $

[tex]M=105,000\frac{0.02106 }{3.8142}[/tex] $

[tex]M=105,000(0.005522)/tex] $

[tex]M=579.81[/tex] $

Her monthly principal payment is $579.81.

Answer: $579.81 APEX