Problem Page
Suppose we want to choose
2 letters, without replacement, from the
4 letters A, B, C, and D.

Answer:

8 green

Step-by-step explanation:

orange: green

1 :2

1+2 = 3 so she has 3 total picks

12/3 =4

So we need to multiply by 4

1*4 : 2*4    total pick 3*4

4:8  12 total picks

4 orange  8 green   12 total

[tex]\underline{\ \ \ \ \ \ 123}\\1\ \ \ |15129\\\underline{\ \ \ \ \|1}\\22\ |\ 51\\\underline{\ \ \ \ |\ 44}\\243|\ \ 729\\\underline{\ \ \ \ \ |\ 729}\\.\qquad\ \ \ 0[/tex]

[tex]\sqrt{15129}=123[/tex]

[tex]\begin{array}{c|c}15129&3\\5043&3\\1681&41\\41&41\\1\end{array}15129=3\cdot3\cdot41\cdot41=3^2\cdot41^2\\\\\sqrt{15129}=\sqrt{3^2\cdot41^2}=\sqrt3^2}\cdot\sqrt{41^2}=3\cdot41=123[/tex]

[tex]Used:\\\\\sqrt{a\cdot b}=\sqrt{a}\cdot\sqrt{b}\\\\\sqrt{a^2}=a\ for\ a\geq0[/tex]

Answer:9n-2

Step-by-step explanation:

1st = 9*1-2= 7

2nd = 9*2-2= 16

3rd = 9*3-2= 25

4th = 9*4-2 = 34

...

The nth term of the sequence 7, 16, 25, 34, 43, which is an arithmetic sequence with a common difference of 9, is given by the expression 9n - 2.

The sequence given is 7, 16, 25, 34, 43. To find the nth term expression of this sequence, first, we can observe the pattern that each term increases by 9. Therefore, the sequence is an arithmetic sequence. We can use the formula for the nth term of an arithmetic sequence, which is [tex]a_n = a_1 + (n - 1)d[/tex], where [tex]a_1[/tex] is the first term and d is the common difference.

The first term a1 is 7, and the common difference d is 9. So, the nth term is:
[tex]a_n = 7 + (n - 1) \times9[/tex]
To simplify, it will be:
[tex]a_n = 7 + 9n - 9a_n = 9n - 2[/tex]. This is the expression for the nth term of the given sequence.

Answer:

No solutions

Step-by-step explanation:

y = -1/4 x+2

3y = -3/4 x -6

We can use substitution since the first equation is solved for y

Every time there is a y in the second equation, replace it with -1/4 x +2

3 (-1/4 x+2) = -3/4 x -6

Distribute

-3/4 x +6 = -3/4 x-6

Add 3/4 x to each side

-3/4 x + 3/4 x +6 = -3/4 x + 3/4x-6

6 = -6

Since this not a true statement, the system of equations has no solutions

Answer:

a) 26

b) 48

c) 54

d)74

Step-by-step explanation:

and negative divided by a negative is postitive right? yes, then it is just simple division

Answer:

2y+4x-18

Step-by-step explanation:

4(x-5) +2(y + 6) -10

4x-20+2y+12-10

4x+2y-18

The expression 4(x-5) + 2(y+6) - 10 simplifies to 4x + 2y - 18 using the distributive property and combining like terms. Answer choice (A) is the correct one.

To simplify the expression 4(x - 5) + 2(y + 6) - 10, you need to use the distributive property. This property allows you to multiply a number outside of a bracket with each term inside the bracket.

First, distribute 4 into (x - 5) which gives you 4x - 20. Then distribute 2 into (y + 6) which gives you 2y + 12. Now, you have 4x - 20 + 2y + 12 - 10

Combine like terms by adding or subtracting them. In this case, -20, +12 and -10 are like terms. When you add these together, you get -18. So, the simplified expression becomes 4x + 2y - 18. Therefore, answer choice (A) is correct.

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Answer:

40

Step-by-step explanation:

15 divided by 3 is 5 and since it is 5 per hour 8 times 5 is 40

Answer:

$40

Step-by-step explanation:

So if Logan's rate is $15/3 hours = $5 per hour,

Then $5 × 8 hours = $40 in total.

Hope this helps! Have a nice day!

Answer:

The points form a equilateral triangle of side 5.78 units.

Step-by-step explanation:

The length of the sides of the triangle is calculated using the distance formula.

The distance between the points (x₁,y₁) and (x₂,y₂) is

[tex]d= \sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}[/tex]

Now,

AB = [tex]\sqrt{(11.11-14)^{2}+(15-10)^{2}}=\sqrt{8.3521+25} = \sqrt{33.3521}=5.78[/tex]

BC = [tex]\sqrt{(8.22-11.11)^{2}+(10-15)^{2}}=\sqrt{8.3521+25} = \sqrt{33.3521}=5.78[/tex]

CA =  [tex]\sqrt{(8.22-14)^{2}+(10-10)^{2}}=5.78[/tex]

The length of the sides of the triangle is 5.78. All the sides are equal in length. It is an equilateral triangle.

Answer:

the answer is a. x^2-7x-18

first you distribute the x in the first equation getting you x^2 +2x, then you distributed the -9 getting -9x-18. you then put those together, x^2+2x-9x-18. Finally you simplify to x^2-7x-18

Answer:

0.45

Step-by-step explanation:

Ok so you start with -0.9. You need to find how much it will change in an hour and 30 minutes. So you subtract -0.9 from -0.9 and you'd get 0. Now, we have to subtract half of -0.9 (because 30 minutes is half an hour). Half of -0.9 is -0.45. Subtract 0 by -0.45 and you get 0.45.

Answer:

It varies 0,45. For 1,35 - 0,9 = 0,45

Step-by-step explanation:

-9/10 = -0,9

3/2 = 1,5

1h    -------   -9/10

1,5h ---------   x

x = 1,5 * -0,9

x = -1,35

Answer:

see below  PLEASE GIVE BRAINLIEST

Step-by-step explanation:

549 - 36.5 = 512.5mb were trf

512.5/125 = 4.1mb per second

Answer:

Step-by-step explanation:

The speed of the transfer was 4.1 megabytes per second. It took the drive 235 seconds to be completely full.

Answer:

No

Step-by-step explanation:

Note that:

(x , y) = (6 , -3) ∴ x = 6, y = -3

Plug in 6 for x in the equation, and -3 for y.

y = -2x

(-3) = (-2)(6)

Simplify. Multiply.

(-3) = (-12)

-3 ≠ -12 ∴ (6 , -3) is not a solution for y = -2x

~

Answer:

False

Step-by-step explanation:

(6,-3)  means x=6 and y=-3

Substitute into the equation

y= -2x

-3 = -2(6)

-3 = -12

This is false

Answer:

After 2 nights they would have read the same amount of pages. That is 29 pages.

Step-by-step explanation:

1.      6x+17=13+8x                          Put the problem in to a equation

2.      6x+17=13+8x                         Subtract 8x from both sides

        -8x         -8x  

3.      -2x+17=13                                Subtract 17 from both sides

            -17   -17  

4.      -2x=-4                                     Divide by -2

         -2   -2

5.      x=2                                         x=2                                                                                                                                      

Answer:

x=52

Step-by-step explanation:

Answer:

52

Step-by-step explanation:

156 divided by 3= 52

3*52=156

Answer: x=72, y=26

Step-by-step explanation:

Since a line is 180°, we can do:

2x+10+y=180

2x+y=170

Since a triangle is 180° also, we can do:

x+y+82=180

x+y=98

If we subtract x+y=98 from 2x+y=170, we get:

2x+y=170

x+y=98

x=72

If we insert x=72 into x+y=98, we get:

72+y=98

y=26

We can check our answer by inserting x=72 and y=26 into x+y+82=180

72+26+82=180

98+82=180

180=180

Answer:

The answer is 42394

Answer:

12 liters of water

Step-by-step explanation:

3 times 4 =12 liters

Answer:

12 liters

Step-by-step explanation:

You have 3 pots and 4 liters in each so you would multiply these two numbers and you will get 12:

3 × 4 = 12

Answer:

25.9 miles

Step-by-step explanation:

To find out how far he can go on one gallon of gas, we divide miles by gallons.

311 miles/ 12 gallons

25.91666666 miles per gallon

So on one gallon of gas, he can go 25.9166666666 miles

Rounding to the nearest tenth.

25.9 miles

Answer:

110

Step-by-step explanation:

cause you would have to multiply the you bought to the cost of them and you add those two totals together

Answer:110

Step-by-step explanation:

Answer: 25

Step-by-step explanation: Flour: 75 divided by 3 equals 25. The sugar does not matter in this situation but there will be 25 cups of sugar left if you want to know. Hope this helps!

Answer:

25 sheets

Step-by-step explanation:

Each sheet cake requires 3 cups of flour and 2 cups of sugar.

A bakery has 75 cups of flour and 75 cups of sugar.

Each sheet needs flour = 3 cups

75 cups of flour can make sheet = [tex]\frac{75}{3}[/tex]

                                                      = 25 sheets

for 25 sheets we need sugar =  25 × 2 = 50 cups of sugar

There are more amount of sugar than we need.

Therefore, 25 sheets can be made by 75 cups of flour.

To solve this problem, we must first find the fraction of action figures that Lee has gotten so far.  To do this, we will represent the number of action figures that Lee currently has in the numerator divided by the denominator, the total number of action figures that Lee is attempting to collect.

First, we must recognize that Lee currently has 11 action figures plus the 3 that he got for his birthday.  To find the total number of action figures that Lee has, we must add together these two parts.  

11+3 = 14

Therefore, Lee has 14 action figures (this will become the numerator of the fraction).  The denominator of the fraction is the total number of action figures, which we are given is 22.

Thus, our fraction is 14/22.

To convert this into a decimal, we can simply divide the numerator of the fraction by the denominator of the fraction, which gives us:

14/22 = 0.636363636

Therefore, your answer is approximately 0.636.

Hope this helps!

Answer:

D:2/5

Step-by-step explanation:

There are 4 vegetables to choose from; 2 broccoli and 2 carrots.  

This is out of 10 covered dishes.

This gives the probability 4/10, which simplifies to 2/5.

Answer : The correct option is, (D) [tex]\frac{2}{5}[/tex]

Step-by-step explanation :

Probability : It is defined as the extent to which an event is likely to occur. That means, it is measured by the ratio of the favorable outcomes to the total number of possible outcomes.

[tex]\text{Probability}=\frac{\text{Number of favorable outcomes}}{\text{Total number of favorable outcomes}}[/tex]

Total favorable outcomes are, 2 broccoli, 2 cake, 2 carrot, 1 chicken, 2 fish, and 1 meat loaf = 10

Favorable outcomes of choosing a vegetable are, 2 broccoli and 2 carrot

Number of favorable outcomes of choosing a vegetable = 4

Total number of outcomes = 10

[tex]\text{Probability}=\frac{\text{Number of favorable outcomes for a multiple of 3}}{\text{Total number of favorable outcomes}}[/tex]

[tex]\text{Probability}=\frac{4}{10}[/tex]

[tex]\text{Probability}=\frac{2}{5}[/tex]

Therefore, the probability of choosing a vegetable is, [tex]\frac{2}{5}[/tex]

Answer:

(C) (x+1) is not a factor

Step-by-step explanation:

To show that x+1 is not a factor, in other words to show that the polynomial cannot be written as a product

[tex](x+1)\cdot(some\,\,quadratic)=-3x^3-2x^2+1[/tex]

it suffices to test that x=-1 is not a root of the original cubic:

[tex]-3x^3-2x^2+1|_{x=-1}=-3(-1)^3-2(-1)^2+1=2\neq 0[/tex]

which is hereby shown and the option (A) is out.

Option (B) is non-sense.

Option (C) is the correct answer.

After applying the Factor Theorem, we find that substituting -1 into the polynomial [tex]-3x^3 - 2x^2 + 1[/tex] does not yield zero; hence, (x + 1) is not a factor, option C.

The student has asked whether (x + 1) is a factor of the polynomial [tex]-3x^3 - 2x^2 + 1[/tex]. To determine if (x + 1) is indeed a factor, one could perform polynomial division or apply the Factor Theorem. According to the Factor Theorem, (x + 1) is a factor if and only if substituting -1 for x in the polynomial yields zero. Substituting, we get:

[tex]-3(-1)^3 - 2(-1)^2 + 1 = 3 - 2 + 1 = 2[/tex]

Since the result is not zero, (x + 1) is not a factor of the polynomial. So, the correct answer to the student's question is option C: (x + 1) is not a factor.

Answer:

  = 233.75

Step-by-step explanation:

To find the discount, we multiply the original price by the percent off

discount = 275* .15

               = 41.25

To get the sale price, take the original price and subtract the discount

sale price = 275-41.25

               = 233.75

Answer:

-7.32 < x < -0.68  0r -4-√11 < x < √11 - 4

Step-by-step explanation:

The given inequality is x^2 + 8x + 5 < 0

Here we cannot factorize, so we need to use the quadratic formula to find the solution.

The quadratic formula x = [tex]\frac{-b  +/- \sqrt{b^2 - 4ac)} }{2a}[/tex]

Here a = 1 , b = 8 and c = 5

Plug in these values in the formula, we get

x = -8 ± √(8)^2 - 4*1*5)  ÷ 2(1)

x = (-8 ±√44)/2

x = (-8 ±2√11)/2

x = -4 ± √11

There are two values for x.

x = -4 + √11 and x = -4-√11

√10 = 3.16

So x = -4 + 3.32        and x = -4 - 3.32

x =-0.68                   and   x = -7.32

This means

-7.32 < x < -0.68  0r -4-√11 < x < √11 - 4

Thank you.

Answer:

[tex]-4-\sqrt{11} <[/tex] x [tex]-4+\sqrt{11}[/tex]

Step-by-step explanation:

We are given the following quadratic inequality by applying the quadratic formula to solve it (since it can not be factorized) and then express it in an interval notation:

[tex]x^2+8x+5<0[/tex]

We know the quadratic formula:

[tex]x=\frac{-b+-\sqrt{b^2-4ac} }{2a}[/tex]

Putting in the values to get:

[tex]x=\frac{-8+-\sqrt{8^2-4(1)(5)} }{2(1)} \\\\x=\frac{-8+-\sqrt{44} }{2}[/tex]

[tex]x=-4-\sqrt{11} , x=-4+\sqrt{11}[/tex]

Therefore, the interval notation for the given quadratic inequality for x will be:

[tex]-4-\sqrt{11} <[/tex] x [tex]-4+\sqrt{11}[/tex].

Answer:

(90)(7) ⇒ the error was multiplying 90 and 7.

Step-by-step explanation:

12(597) = 12(500 + 90 + 7)

            = 12(500) + (90)(7)

             = 6000 + 630

                = 6,630

The part in bold shows where the error is. It was not correct to multiply 90 and 7.

The process was to proceed as follows:

12(597) = 12(500 + 90 + 7)

            = 12(500) + 12(90) + 12(7)

             = 6000 + 1080 + 84

                = 7,164

Answer: Kirera did not multiply each added by 12.

Answer:

2.8 inches will be the approximate length of the y.

Step-by-step explanation:

volume = 1/2 x A x C x H = 4 cubic inches

Because the volume of the triangular block is 4 cubic inches.

Formula:  

A x C = Base x Height

Answer:

2.8 in

Step-by-step explanation:

Answer:

4/9

Step-by-step explanation:

11/18-1/6

The first step is to get a common denominator, which is 18.  We can multiply 1/6 by 3/3 to get the denominator to 18

11/18 - 1/6 *3/3

11/18 - 3/18

8/18

Now we can simplify the fraction by dividing the top and bottom by 2

4/9

Answer:

4/9

Step-by-step explanation:

11/18 - 1/6

1 times by 3

6 times by 3

11/18-3/18

8/18

8 divided by 2

18 divided by 2

4/9

Answer:

B is the answer, hope this helps.

The subject of this question is Mathematics. The dependent variable in a basketball game is the team score, represented by option D: Team(score), or T(s).

The subject of this question is Mathematics. The question is asking about the dependent variable in a basketball game, which is the team score. The team score depends on the number of baskets scored in the game, represented by option D: Team(score), or T(s).

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Answer:

the second one is your answer