-8 + 2n + 14 = 4n - 16

Answer:

8

Step-by-step explanation:

24 divided by 3 =8

Answer:

-10

Step-by-step explanation:

hope it helps

Answer:

blue point value is -10

Step-by-step explanation:

First lets find the difference between each point on the line,

The gap between 10 and 2 has 2 points

So 10 - 2 = 8 is the difference in value between point A(10) and point C(2), but we need to find difference between each point,

So 8/2 = 4 is the difference between each point from top to bottom.

There is 3 points after 2 to reach blue,

So 4 x 3 = 12, is the difference in value between point C(2) and point blue,

So, subtracting 12 from 2 will get us the value of blue, 2 - 12 = -10

Therefore the value of blue point is -10

Happy to help :)

Step-by-step explanation:

A container has 5 green, 4 yellow and 2 white marbles.

We need to find the probability of selecting a green marble.

The probability of getting an event is given by :

P(E) = favorable outcomes/no. of outcomes

The probability of getting green marble will be :

[tex]P(G) = \dfrac{5}{5+4+2}\\\\=\dfrac{5}{11}[/tex]

The probability of getting white marble will be :

[tex]P(W) = \dfrac{2}{5+4+2}\\\\=\dfrac{2}{11}[/tex]

Hence, this is the required solution.

Answer:

a)i)1/16

ii)5/36

b)i)5/96

ii)20/69

Step-by-step explanation:

a) i) 6/24 =1/4

1/4*1/4=1/16

a)ii)8/24=1/3    10/24=5/12

1/3*5/12=5/36

b)i) 5/24*1/4=5/96

ii) 1/3*10/23=10/69

5/12*8/23=40/276=20/138=10/69

10/69+10/69=20/69

The probabilities are; 1/16, 5/36, 5/96 and 20/69

Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true.

Given that, A bag contains 6 red, 8 black and 10 yellow identical beads, 2 beads are picked at random one after the other.

a) With replacement:

i) The probability that both will be red =

6/24 =1/4

1/4x1/4=1/16

ii) The probability of getting one black and a yellow =

8/24=1/3    10/24=5/12

1/3x5/12=5/36

b) Without replacement;

i) The probability of getting both red =

5/24x1/4 = 5/96

ii) The probability of getting one black and a yellow =

1/3x10/23 = 10/69

5/12x8/23 = 40/276 = 20/138 = 10/69

10/69+10/69 = 20/69

Hence, The probabilities are; 1/16, 5/36, 5/96 and 20/69

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Answer:

Ryan's raft

Step-by-step explanation:

Ryan's raft has greater rate of change

Answer:

50

Step-by-step explanation:

Answer:

answer would be:

The range of the graph is all real number.

AND

The domain and range of the graph are the same.

Step-by-step explanation:

Answer:

b=80

c=80

Step-by-step explanation:

the angle opposite to the 100 degree angle is congruent to it

same goes for b and c

so far we have 2 angles that measure 100 degrees 100+100=200

the sum of the 4 angles is 360

360-200=160

160/2=80=b=c

Answer:

17/33

Step-by-step explanation:

The repeating decimal [tex]$0.\overline{51}$[/tex] is equal to [tex]$\boxed{\frac{17}{33}}$[/tex].

A fraction is a component of a whole. Mathematically, the number is expressed as a quotient, where the numerator and denominator are divided. In a simple fraction, both are integers. In a complex fraction, a fraction can be found in either the numerator or the denominator. A suitable fraction has a numerator that is smaller than its denominator.

Let [tex]$x = 0.\overline{51}$[/tex]. Multiplying both sides of this equation by 100 gives,

[tex]$100x = 51.\overline{51}\\[/tex]. Subtracting the first equation from the second equation eliminates the repeating decimal,

giving:

[tex]\begin1100x - x &= 51.\overline{51} - 0.\overline{51}\\ \99x &= 51 \\\ \\end[/tex]

x = 51/99

Therefore, the repeating decimal [tex]$0.\overline{51}$[/tex] is equal to [tex]$\boxed{\frac{17}{33}}$[/tex].

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Answer:

√45 lies between 6 and 7 .

Step-by-step explanation:

We know that. √36=6. And. √49=7. It makes sense that √36<√45<√49 therefore 6<√45<7 .

Answer:

option a

Step-by-step explanation:

alternate exterior angle theorem

Answer:

(D).

Step-by-step explanation:

[tex]A_{b}[/tex] = A + [tex]A_{s}[/tex]

(A). 12 + 16 > 20

(B). 10 + 18 < 30

(C). 4 + 5 < 12

(D). 8 + 16 = 24

Answer:

Call the line (d): y = ax + b

(d) intersects the vertical axis at the point where the intersection is 3 ⇒x = 0, y = 3 Instead of (d) we have: b = 3

(d) intersects the horizontal axis at the point where the coordinate is -1 ⇒x = −1, y = 0 Instead of (d) we have: −a + b = 0

Replace into b = 3 into -a + b = 0 we have: −a + 3 = 0⇔a = 3

So the equation for the line is y = 3x + 3

Step-by-step explanation:

Answer:

x is equal to seven.

Step-by-step explanation:

To solve this you can move like terms to each side, then divide both sides by the coefficient of x:

4 + 6x = -3 + 7x

6x -7x = -3 - 4

-x = -7

x = 7

Answer:

Infinitely many solutions

Step-by-step explanation:

y = -1/6x + 5

x + 6y = 30

We can solve this system by using substitution or elimination. Since we are given an isolated y-value, I'll be using the substitution method.

Substitute y = -1/6x + 5 into the second equation for y.

Distribute 6 inside the parentheses.

Combine like terms.

Since this is a true statement, we can conclude that this system has a solution of all real numbers, or infinitely many solutions.

We can also see that these equations are indeed equivalent by multiplying the top equation by 6.

6 * (y = -1/6x + 5) → 6y = -x + 30

Adding x to both sides and rearranging terms gives us x + 6y = 30, which is the same as the second equation.

Answer:

A=50.27

Step-by-step explanation:

Answer:

The number of pencils that needs to be placed at the other 1 inch end to get a balance again is approximately 3 pencils

Step-by-step explanation:

The given parameters are;

The length of the ruler used as a seesaw = 12 inch

The location where the pencil is placed = Under the 4 inch mark

The location where the weight is placed to balance the seesaw = The 2 inch mark

Therefore, the pencil at the 4 inch mark is fulcrum

The location where a pencil is placed on the ruler = The 12 inch end

The number of pencils, x, that needs to be placed at the other 1 inch end to get a balance again is given as follows;

The distance of the pencil at the 12 inch end from the fulcrum = 12 inches - 4 inches = 8 inches

The distance of the pencils placed at the 1 inch end from the fulcrum = 4 inches - 1 inch = 3 inches

Therefore at balance point, (equilibrium) the anticlockwise moment = The clockwise moment, which gives;

The mass of 1 pencil × 8 inches = x × The mass of 1 pencil × 3 inches

x = (The mass of 1 pencil × 8 inches)/(3 inches × The mass of x × 1 pencil)

x = 8/3 = 2.[tex]\overline 6[/tex]  ≈ 3 pencils

The number of pencils that needs to be placed at the other 1 inch end to get a balance again = x ≈ 3 pencils.

Answer:

option a.

Step-by-step explanation:

3(8-x)=18

3(8-2)

3×6=18

so the RHS and LHS are equal

Answer:

110

Step-by-step explanation:

as a trapezoid contains of angles that add up to 360 .....and the top angles are equal and the bottom angles are equal ...therefore >v equals to 70 and w as well and x are equal to 110 each

Answer: a) 26.2 cm

Step-by-step explanation:

Perimeter of rectangle = 2 (l + w)

2 (l + w) = 2 (9 + 4.1) = 2 (13.1) = 26.2 cm

Hope this helps!

The value that Mrs. Alvarez will pay depends on the rental value of the ski and the poles per day, for example $144.

To know the total cost of the loan of the Ski equipment, we must know the loan price per day or per hour.

For example, suppose the loan price per hour is $2, then we would have to calculate how much one day is equivalent to and then multiply it by the total number of days.

$2 x 24 = $48

$48 x 3 = $144

Note: This question is incomplete because some information is missing. However I can answer it based on my general prior knowledge.

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Answer:

.032 .302 .32  2.03  2.30

Step-by-step explanation:

Answer:

70%

Step-by-step explanation:

Branlist please!

Answer:

56 bananas Is what percent of

80 bananas?

56/80x100

=70%

Answer:

3x+14

Step-by-step explanation:

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

6x+8 -3(x-2)

6x+8 -3(x-2)

6x+8 -3x+6

6x+8-3x+6

6x+ 14 -3x

6x +14 -3x

3x +14

Answer:

i think its c

Step-by-step explanation:

Answer: 60:12, 60/12, or 60 to 12.

Step-by-step explanation:

To find the ratio, we must find 2 values. The values in this case is 60 and 12. 60 being cars and 12 being trucks.

So to write the ratio, we must put the cars first, then the trucks second.

So 60 first, and 12 second.

And remember, there are 3 ways to write ratios.

So we can write it like 60:12, 60/12, or 60 to 12.

The answers are 60:12, 60/12, or 60 to 12.