In your sock drawer you have 4 blue socks, 5 grey socks, and 3 black socks. Half asleep one morning, you grab 2 socks at random and put them on. Find the probability that you end up wearing exactly 1 black sock.

The fractions which have the same value as the fraction given; -1/4 among the answer choices are; -(-1/-4), -1/4 and 1/-4.

It follows from the task content that the fractions which are equivalent to the given fraction; -1/4 are to be identified.

On this note, one must first identify that the quotient or product of like signs (+ or -) yields a positive sign while the quotient or product of unlike signs yields a negative sign.

Hence, the simplified form of the options are as follows;

Hence, the correct answer choices are; -(-1/-4), -1/4 and 1/-4.

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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:

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:

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

Step-by-step explanation:

Answer:

answer

Step-by-step explanation:

80/100 - 80%

Answer:

45

Step-by-step explanation:

5 times 5 is 25 plus 20 is 45 hope this helps

Answer:

147 gallons

Step-by-step explanation:

21 miles x 7 gallons

Answer:

33 Minutes

Step-by-step explanation:

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

Answer:

Answer= -4 hope it helps

Answer:

x = 1 y = 2

Step-by-step explanation:

3(1) + 2(2) = 7

3 + 4 = 7

-3(1) + 4(2) = 5

-3 + 8 = 5

Answer:fbf

Step-by-step explanation:

Answer:

17

Step-by-step explanation:

so x stays the same, so you look at the y integers and to get to the negatives you have to go down 5 times, then 12 more to get to -12. So 5+12= 17

Hope this helps!!!!

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

Answer:

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

PLEASE MARK ME AS BRAINLIEST

Answer:

x-y+2z=3

Step-by-step explanation:

EZ

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:

The vertex of the graph is (-1,0)

Step-by-step explanation:

A vertex has different definitions

It refers to the point where we have the axis of symmetry

It can also be the point at which the graph changes direction

From the graph we have here, the vertex lie on the horizontal axis

It has an ordered pair value of (-1,0)

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:

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

=2/12

=1/6

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

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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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:

12x=50×50−38×38

12x=50²−38²

20x=(50+38)(50-38)

12x=88*12

x=88

Answer:

x=17

Step-by-step explanation:

1: Simplify both sides of the equation.

8x−9+53=180

8x+−9+53=180

(8x)+(−9+53)=180(Combine Like Terms)

8x+44=180

8x+44=180

2: Subtract 44 from both sides.

8x+44−44=180−44

8x=136

3: Divide both sides by 8.

(8x=136 )/8

x=17

Answer:

-.2, 2.4

Step-by-step explanation:

answer on edge

Answer: the answer is "a"  95a=b

Step-by-step explanation:

"of" means "multiply":

95a=b

Answer:

Is a natural Number

Step-by-step explanation:

Answer:

Is a Factor

Step-by-step explanation:

Answer:

1.6

Step-by-step explanation:

Because you divide 1/5 by 1/3 and you get 1.6. Make me brainliest!!!