Mrs. Janssen has a class of 10 students. In her class, there are 4 boys and 6 girls. Mrs. Janssen chooses two students from her class randomly.
What is the probability that she did NOT choose a boy either time?

Answer:

x2 - 2x + 4  (remainder 2).

or we could write it as

x2 - 2x + 4 + 2/(x+3)

Step-by-step explanation:

          x2  -  2x + 4   <------ quotient.

x + 3 )  x3 +   x2 - 2x + 14

          x3 +  3x2

                  -2x^2 - 2x

                   -2x2 -  6x

                                4x  + 14

                                 4x + 12

                                          2 <--------- remainder

Step-by-step explanation:

Answer:

x=-2

Step-by-step explanation:

Simplify parentheses : 0.5x+0.3=2.1x+9-5.5

Combine like terms : 0.5x+0.3=2.1x+3.5

Isolate the variable : -1.6x=3.2

Divide by -1.6 on both sides : x=-2

Answer:

x=-2

Step-by-step explanation:

1/4(2x + 1.2) = 3(0.7x + 3) - 5 1/2

multiply both sides of the equation by 4 to get rid of the fraction 1/4

2x+1.2=12(0.7x+3)-4*5 1/2

distribute 12 into parenthesis

2x+1.2= 8.4x+36-4*5 1/2

multiply -4 with 5 1/2

2x+1.2=8.4x+36-22

subtract numbers

2x+1.2= 8.4x+14

move X's to one side and numbers to another

2x-8.4x=14-1.2

collect like terms

-6.4x=12.8

divide by -6.4 to get x

x= -2

Answer:

[tex]ax+ay=k; a\ne0, k\ne2a[/tex]; line D in the options.

Step-by-step explanation:

The set of equations has no solutions if the two lines are parallel. A quick way to create a parallel line is to solve for y, put it in slope-intercept form. Else, as long as the cofficient of x and y are in the same ratio (in this case 1:1), the two lines are parallel, you just have to be careful not to pick the same line again!

The condition [tex]a\ne 0[/tex] makes sure you are still getting lines (else you would get rid of both x and y); the condition [tex]k\ne 2a[/tex] makes sure you're not picking line A again, just written in a different form.

Now that we have the options:

A and C have a different ratio for the coefficient of x and y (2:1 and 1:2) so are not good.

Choice B is just a more complicated way to write the same line, you can see by dividing both sides by 2 and get back x+y=2.

Line D is correct.

Answer:

y=4x-6

5x=4x-6 {putting y =5x}

5x-4x=-6

x=-6

H(3) means to replace x in the equation with 3 and then solve:

15(3) - 171

45-171

-126

Answer: -126

Answer:

slope of line AB = 5

Let the required line be 'l'.

since AB is parallel to 'l'.

so slope of 'l' = slope of AB = 5.

So, the required equation of line which passes through (4,5) and having slope 5 is given by

y - 5 = 5(x - 4).........[using slope point form]

y = 5x - 20 + 5

y = 5x - 15.

Step-by-step explanation:

- BRAINLIEST answerer

Answer:

64

Step-by-step explanation:

Step-by-step explanation:

x² + 6x + 9 = 2

(x + 3)² = 2

x + 3 = ±sqrt(2)

x = -3 ± sqrt(2)

so, B and D are correct.

control :

(-3 + sqrt(2))² + 6(-3 + sqrt(2)) + 9 = 2

9 + 2 - 6sqrt(2) - 18 + 6sqrt(2) + 9 = 2

2 = 2

correct

(-3 - sqrt(2))² + 6(-3 - sqrt(2)) + 9 = 2

9 + 2 + 6sqrt(2) - 18 - 6sqrt(2) + 9 = 2

2 = 2

correct

(3 + sqrt(2))² + 6(3 + sqrt(2)) + 9 = 2

9 + 2 + 6sqrt(2) + 18 + 6sqrt(2) + 9 = 2

38 + 12sqrt(2) = 2

wrong.

(3 - sqrt(2))² + 6(3 - sqrt(2)) + 9 = 2

9 + 2 - 6sqrt(2) + 18 - 6sqrt(2) + 9 = 2

38 - 12sqrt(2) = 2

wrong.

Answer:

6 minutes per kilometer

The equation represents this sentence"28 is the quotient of a number and 4" will be n/4=28.

Equations are statements that affirm the equivalence of two expressions that are joined by the equals symbol "=". An equal sign ("=") links two expressions together to form an equation. The two expressions on each side of the equals sign are referred to as the "left-hand side" and "right-hand side" of the equation. The right side of an equation is typically assumed to be zero.

It is given that, 28 is the quotient of a number and 4.

The number being divided is referred to as the dividend, and the number being divided by it is referred to as the divisor. The quotient is the outcome of the division.

Suppose the number is n,

n/4=28

Thus, the equation represents this sentence"28 is the quotient of a number, and 4" will be n/4=28.

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Answer:

..

Step-by-step explanation:

If HV= 12 and we are trying to find UV. We just need to divide by 2 because UV is half. UV=6

Answer:

First, we will change dissimilar fractions into similar fractions by finding the least common denominator. Second, add them like similar fractions. And then finally, convert the answer in the lowest term. Example No.6 Subtract 3/4 from 4/5. What will be our least common denominator? The least common multiple of 5 and 4 is 20. That was an Example

Step-by-step explanation:

Answer:

y=-2x+15

Step-by-step explanation:

Hi there!

We are given that m=-2, b=15, and we want to write the equation of the line, given these values

We can write the line in slope-intercept form, which is y=mx+b, where m is the slope and b is the y intercept, since we are given the values of both m and b.

Since we know the values of m and b (-2 and 15 respectively), we can substitute those numbers in as the variables they equal to.

Substitute -2 as m:

y=-2x+b

Substitute 15 as b:

y=-2x+15

Hope this helps!

Answer:

2/5

Step-by-step explanation:

y=2/5x-6

m=2/5

y=mx+b

Slope:  2/5

y-intercept:  6

Step-by-step explanation:

Just Did Now, Am not Really good at asking questions

Answer:

3 2 /5 ×3

change 3 2 /5 into an improper fraction

then you will get 17 /5

after that you say 17/5 ×3/1

=(17×3)/ (5x1)

=51/5 (51÷5)

=10.2/ 10 1/5

[tex]3 \frac{2}{5} \times 3 \\ = \frac{17}{5} \times 3 \\ = \frac{51}{5} \\ = 10 \frac{1}{5} [/tex]

[tex]10 \frac{1}{5} [/tex]

Hope it helps.

Do comment if you have any query.

Answer:

7/6 or A

Step-by-step explanation:

2/3(9-6)-5/6= 7/6

[tex]\\ \rm\bull\rightarrowtail 0.09[/tex]

[tex]\\ \rm\bull\rightarrowtail \dfrac{9}{100}[/tex]

Find square root

[tex]\\ \rm\bull\rightarrowtail \sqrt{\dfrac{9}{100}}[/tex]

[tex]\\ \rm\bull\rightarrowtail \dfrac{3}{10}[/tex]

[tex]\\ \rm\bull\rightarrowtail 0.3[/tex]

The solution of the square root of 0.09 as a fraction is,

⇒ 3 / 10

We have to given that,

To find value of the square root of 0.09 as a fraction.

Now, We can write it as,

⇒ √0.09

⇒ √9 / 100

⇒ √(3/10)²

⇒ 3/10

⇒ 0.3

Therefore, The solution of the square root of 0.09 as a fraction is,

⇒ 3 / 10

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Answer:

Angle B is the linear pairs with 60°, so the size is 180-60=120°

Angle ABC is the linear pair with 120°, so the size is 180-120-60°

Angle A corresponds to angle 60°, so they are equal

Angle BAC is the linear pair with angle A and angle 70°, so 180-(60+70)=50°

Angle ACB is 180-(50+60) = 70°

Step-by-step explanation:

The solution is:

The measure of angle ABC is 60°.

The measure of angle BAC is 50°.

The measure of angle ACB is 70°.

In Plane Geometry, a figure which is formed by two rays or lines that shares a common endpoint is called an angle. The two rays are called the sides of an angle, and the common endpoint is called the vertex.

Angle B is the linear pairs with 60°,

so the size is 180-60=120°

Angle ABC is the linear pair with 120°,

so the size is 180-120 =60°

Angle A corresponds to angle 60°,

so they are equal

Angle BAC is the linear pair with angle A and angle 70°,

so 180-(60+70) =50°

and, we have,

Angle ACB is 180-(50+60) = 70°

Hence, The solution is:

The measure of angle ABC is 60°.

The measure of angle BAC is 50°.

The measure of angle ACB is 70°.

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Answer:

y=10x-4

Step-by-step explanation:

Answer:

y=10x-4

Step-by-step explanation:

Answer:

1. C ≈ 43.9823

2. C ≈ 37.6991

Step-by-step explanation: c=2π · r

Answer:

B

Step-by-step explanation:

hope this helps

The size of the population increases when the growth rate is positive and

decreases for a negative growth rate.

The completed table is presented as follows;

[tex]\begin{array}{|c|c|c|}2003 \ Population (millions)&Projected \ 2029 \ Population \ (millions)&Growth \ rate \ K \\40.5&20.9&-2.255\%\end{array}\right][/tex]

Reasons:

The table is presented as follows;

[tex]\begin{array}{|c|c|c|}2003 \ Population (millions)&Projected \ 2029 \ Population \ (millions)&Growth \ rate \ K \\40.5&20.9&\end{array}\right][/tex]

The population in growth rate is given by the following formula;

P = a·(1 + r)ˣ

Where;

a = The initial population in 2003 = 40.5 million

P = The population in 2029 = 20.9 million

x = The number of years = 2029 - 2003 = 26

Therefore;

20.9 = 40.5 × (1 + r)²⁹

[tex]\left (1 + r\right)^{29} = \dfrac{20.9}{40.5}[/tex]

[tex]r = \left(\dfrac{20.9}{40.5} \right)^{\dfrac{1}{29} } - 1 \approx -0.02255[/tex]

The population growth rate is r ≈ -0.02255 = -2.255 %

The completed table is therefore;

[tex]\begin{array}{|c|c|c|}2003 \ Population (millions)&Projected \ 2029 \ Population \ (millions)&Growth \ rate \ K \\40.5&20.9&-2.255\%\end{array}\right][/tex]

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Answer:

x= - 5/2

Step-by-step explanation:

Answer:

x = -5/2

Step-by-step explanation:

4 - (2(-5/2) + 4) = 5

4 - (-5 + 4) = 5

4 - (-1) = 5

4 + 1 = 5

Answer:

x=1/2

Step-by-step explanation:

Answer:

1 comic book for $2.25

Step-by-step explanation:

If 3 comic books are for $6.75, then 1 comic book will be $6.75 / 3 = $2.25, and there's your answer.

Tell me if I'm wrong :)

Answer:

$6.75/3= $2.25 per comic book

Step-by-step explanation: