If Colin tosses a normal die from a board game, what is the probability that the result will be prime?
A. 2/3
B. 5/6
C. 1/2
D. 1/6

Answer:

Solution,

[tex]9y + 6 + 2(5 + y) \\ = 9y + 6 + 10 + 2y \\ combine \: like \: terms \\ = 9y + 2y + 6 + 10 \\ simplify \\ = 11y + 16[/tex]

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Good luck on your assignment..

Answer:

11y+16

Step-by-step explanation:

9y+6+2(5+y)=

9y+6+10+2y=

Combine like terms

11y+6+10=

11y+16

Answer:

5

Step-by-step explanation:

Add 6 to both sides. The answer is 5.

Answer:

5

Step-by-step explanation

since we are looking for the value of x,we have to make it the subject of the formula(stand alone).

Therefore,-6 would cross over the equality sign and it would become =6.

NOTE:when a negative number crosses the equality sign,it becomes a positive number.

This implies that x= -1+6

NOTE:when you come across - + +(minus plus plus),u would have to minus.

and to know the sign that would be at the front of the answer,just take a look at the sign the bigger number holds.At this point it is plus.

Therefore,x= -1 +6

x=5(u could have stated it was +5 but it isnt necessary since there is an invisible plus sign at the front of a number as long as minus is not there

Answer:

r = 6

Step-by-step explanation:

Calculate the slope m using the slope formula and equate to [tex]\frac{3}{2}[/tex]

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = ( 3, - 6) and (x₂, y₂ ) = (11, r)

m = [tex]\frac{r+6}{11-3}[/tex] = [tex]\frac{r+6}{8}[/tex] = [tex]\frac{3}{2}[/tex] ( cross- multiply )

2(r + 6) = 24 ( divide both sides by 2 )

r + 6 = 12 ( subtract 6 from both sides )

r = 6

Answer:

4 adults : 3 children

Step-by-step explanation:

Answer: B

Step-by-step explanation:

 In the systems of equation it already gives you the solution for x  which is -2 so all you have to do is substitute -2 into the first equation and solve for y.

y= 2/3x + 3    

x= -2

Substitute x for -2

y = [tex]\frac{2}{3}* \frac{-2}1} + 3[/tex]  

y= [tex]\frac{-4}{3}[/tex] + [tex]\frac{3}{1}[/tex]    

y = [tex]\frac{5}{3}[/tex]  

so now you have the solution like this [tex](-2,\frac{5}{3})[/tex]

Answer:

A. is the correct answer

Step-by-step explanation:

the answer is 27

Answer:

A. 25

Step-by-step explanation:

f(x)= 8x - 7

f(4)= 8*4 - 7= 25

f(4)= 25

Answer:

a line with points A and B is True

Answer:

The expression as a sum of terms is [tex]2\cdot a^{\frac{3}{2} } - 4\cdot a^{-\frac{1}{2} }[/tex].

Step-by-step explanation:

The expression to be rewritten has the following form:

[tex]\sqrt{a} \cdot (2\cdot a^{2}-\frac{4}{a} )[/tex]

A polynomial as a sum of terms consists in a sum of terms of the form [tex]c_{i} \cdot a^{k(i)}[/tex], where [tex]c_{i}[/tex] and [tex]k_{i}[/tex] are the i-th coefficient and exponent. The expression has to be expanded to create the sum of terms:

[tex]a^{\frac{1}{2} }\cdot (2\cdot a^{2} - 4\cdot a^{-1})[/tex]

[tex]2\cdot a^{1 + \frac{1}{2} } - 4\cdot a^{-1+\frac{1}{2} }[/tex]

[tex]2\cdot a^{\frac{3}{2} } - 4\cdot a^{-\frac{1}{2} }[/tex]

The expression as a sum of terms is [tex]2\cdot a^{\frac{3}{2} } - 4\cdot a^{-\frac{1}{2} }[/tex].

Answer:

tuv x is 6

uvw x is 0

Step-by-step explanation:

Answer:

cost for 21 months without considering cost of phone is  $2,611.56

Total cost inclusive of cost of phone = $2,686.56

Step-by-step explanation:

cost of 2000 monthly anytime minutes plan = $ 124.36

So , in 1 month cost for given plan = $ 124.36

we have to find cost for 21 month

In 21 month, cost for given plan = 21 * cost of 1 month plan

In 21 month, cost for given plan = 21 * $ 124.36 = $2,611.56

cost for 21 months is  $2,611.56.

Note, this cost is without considering the cost of phone as it is not mentioned cost of phone is to be included or not.

In case cost of phone is included then

Total cost inclusive of cost of phone =  $2,611.56 + $75 = $2,686.56

Answer:

1). Number of kids on the other side = 16

2). Brian took the time to each piece of pie = 20 seconds

Step-by-step explanation:

1). Let the number of kids on one side = x

  Then the number of kids on other side = 2x

  3 adults helped the side having number of kids = x, then the number of people on this side = x + 3

Since the total number of people on this side = 11

Then the equation will be,

x + 3 = 11

x = 11 - 3

x = 8

Then number of kids on the other side = 2x = 2×8

                                                                           = 16

2). By unitary method,

∵ Brian took the time to eat 6 pieces of the pie = 2 minutes

∴ Brian will take time to eat 1 piece of pie = [tex]\frac{2}{6}[/tex] minutes

                                                                     = [tex]\frac{2}{6}\times 60[/tex] seconds

                                                                     = 20 seconds

Answer: 40

Step-by-step explanation:

Answer:

40 basketballs in 5 hours

Step-by-step explanation:

If in 1/2 hour she makes 4, multiply it by 2 to know how much she can make in a wholw hour. So she can make 8

Multiply how much she can make every hour by the amount of hours.

8 x 5 = 40

Answer:

Exactly 26 cookies fit and there would be 0.75 of cookie space left over.

Step-by-step explanation:

In this case, we must calculate the area of a cookie and the total area of the cookie tray,

give us the diameter of the cookie, we need the radius, we know that the radius is half the diameter, so:

r = d / 2 = 1/2

the area would be:

A = pi * r ^ 2

replacing:

A = 3.14 * (1/2) ^ 2

A = 0.785

The area for each cookie is 0.785 in ^ 2

Now the area of the cookie tray would be:

A = 7 * 3

A = 21 in ^ 2

Therefore a total of:

 21 / 0.785 = 26.75

Which means that exactly 26 cookies fit and there would be 0.75 of cookie space left over.

Answer:

  B' = (5, -4)

Step-by-step explanation:

The picture is illegible, but we think B is (1, 4).

After rotation 180°, both coordinates are negated, so the point is ...

  B" = -(1, 4) = (-1, -4)

After reflection across x=2, the x-coordinate is subtracted from 2·2 = 4:

  B' = (4 -(-1), -4)

  B' = (5, -4)

Answer:

C. 14.75

Step-by-step explanation:

To find mean is fairly easy. All you have to do is add all of the numbers in your data set, and then divide it by the total amount of numbers in the set. So:

12 + 17 + 16 + 10 + 20 + 13 + 14 +14 + 12 + 12 + 19 + 18

Total numbers in the set: 12

All numbers added together: 177

177 / 12 = 14.75

brainliest is always epic :)

Answer:

Step-by-step explanation:

1. First add all the listed numbers which equals to 177

2. Divide 177 by the amount of number given above so there are

12 numbers

So 177÷12= 14.75

Answer is c

Answer:

3

Step-by-step explanation:

SSS similarity states that all 3 sides must be proportional for the triangles to be similar

Step-by-step explanation:

4 × 11 = 44

44 × 9 = 396

therefore it is 396ft

Answer:

4 x 11 = 44

44 x 9 = 396

It will be 396 ft

Step-by-step explanation:

Answer:

t= -105

Step-by-step explanation:

To solve the equation, we want to find out what t is. In order to do this, we have to get t by itself. Perform the opposite of what is being done to the equation. Keep in mind, everything done to one side, has to be done to the other.

-1/15t=7

t is being multiplied by -1/15. The opposite of multiplication is division. Divide both sides by -1/15.

-1/15t/-1/15=7/ -1/15

t=7/ -1/15

Instead of dividing a number by a fraction, you can multiply the number by the reciprocal of the fraction.

To find the reciprocal, flip the numerator (top number) and denominator (bottom number).

-1/15--flip--> -15/1=-15

Substitute -15 in for -1/15, and switch the division sign to a multiplication sign.

t= 7* -15

t=-105

Let's check out solution. Plug -105 back in for t in the original equation.

-1/15t=7

-1/15*-105=7

7=7

Both sides are the same, so we know that t=-105.

Answer:

t=-105

Step-by-step explanation:

[tex]-\frac{1}{15} t =7[/tex]

What we need to do here is to isolate t.

Let's multiply both sides by -15.

[tex]-\frac{1}{15}t * -15 = 1t[/tex]

7*-15= -105

t=-105

Answer:

6x^2 -4x +8

Step-by-step explanation:

(6x^2+ 5) - (4x - 3)

Distribute the minus sign

(6x^2+ 5) - 4x + 3

Combine like terms

6x^2 -4x +8

Answer:

Step-by-step explanation:

C

Answer:

AB = 42.15 units

Step-by-step explanation:

In triangle ABD,

By applying Cosine rule in this triangle,

cos(30)°= [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]

[tex]\frac{\sqrt{3} }{2}[/tex] = [tex]\frac{AD}{AB}[/tex]

[tex]\frac{\sqrt{3}}{2}=\frac{AD}{47}[/tex]

AD = [tex]\frac{47\sqrt{3}}{2}[/tex]

By applying tangent rule in ΔACD,

tan(44)° = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]

tan(44)° = [tex]\frac{AD}{x}[/tex]

0.9657 =  [tex]\frac{\frac{47\sqrt{3}}{2}}{x}[/tex]

0.9657 = [tex]\frac{47\sqrt{3}}{2x}[/tex]

x = [tex]\frac{47\sqrt{3}}{2(0.9657)}[/tex]

x = 42.15

  ≈ 42.2 units

Answer: The actual height of the tower is 91m

[tex]\frac{14}{x}=\frac{2}{13} \\x=\frac{14\times13}{2} \\x=91 m[/tex]

The actual height of the tower is 91 m.

An indication of the relationship between the distances on a map and the corresponding actual distances.

Given that, The height of a tower on a scale is 14 centimeters. The scale is 2 cm: 13 m.

Since, 2 cm = 13 m

1 cm = 13 /2 m

Therefore, 14 cm = 14 × 13/2 = 91 m

Hence, the actual height of the tower is 91 m.

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Answer:

3 – 5.5 + 1.5

Step-by-step explanation:

The number line described above is 3 – 5.5 + 1.5

Starting from our midpoint '0'

It moves 3 units to the right direction = +3

Then from that point '+3', it moves to '-2.5' which is 5.5 units to the left = -5.5. Then finally moves from '-2.5' to to '-1' which is 1.5 units towards the right direction = +1.5

Therefore, we finally have ;

+3 - 5.5 + 1.5

Answer:

B) 3 - 5.5 + 1.5

Answer:

y= -7/-4/-1/2/5/8

Step-by-step explanation:

Answer:

-7, -1, 8

Step-by-step explanation:

substitute the numbers in the equation given:

1) y=3x-1

y=3(-2) -1

y=-6 -1

y=-7

2)y=3x-1

y=3(0) -1

y=0-1

y=-1

3) y=3x-1

y=3(3) -1

y=9-1

y=8

Answer:

Probability is 2/5 or 40%.

Step-by-step explanation:

4/(4+2) = 4/6 = 2/3 first black pen is chosen.

3/5 - second pen is chosen without replacement.

2/3 *3/5= 2/5 - the probability a black pen was chosen, and then another black pen without replacement.

2/5*100 % = 40 %

Answer:

The answer is option 1 and 3.

Step-by-step explanation:

Firstly, you have to find the simplest form of the ratio by dividing the common numbers :

[tex]10:16 = \frac{10}{16} = \frac{5 \times 2}{8} = \frac{5}{8} [/tex]

Given that the simplest ratio is 5:8. Next, you have to simplify all the options given and which is equivalent to 5:8 :

Option 1,

[tex]30 \: to \: 48 = 30:48 = \frac{30}{48} = \frac{5 \times 6}{8 \times 6} = \frac{5}{8} = 5:8 \: (correct)[/tex]

Option 2,

[tex]25:35 = \frac{25}{35} = \frac{5 \times 5}{7 \times 5} = \frac{5}{7} = 5:7 \: (incorrect)[/tex]

Option 3,

[tex] \frac{40}{64} = \frac{5 \times 8}{8 \times 8} = \frac{5}{8} = 5:8 \: (correct)[/tex]

Option 4,

[tex]8:32 = \frac{8}{32} = \frac{1 \times 8}{4 \times 8} = \frac{1}{4} = 1:4\: (incorrect)[/tex]

Option 5,

[tex]5 \: to \: 15 = \frac{5}{15} = \frac{1 \times 5}{3 \times 5} = \frac{1}{3} = 1:3 \: (incorrect)[/tex]

Answer:

Length = 7   Width = 2

Step-by-step explanation:

L = Length

W = Width

L=9w-11

2L+2W=18

2(9W-11) + 2W = 18

18W - 22 +2W = 18

20W -22 = 18

20W = 40

W = 2

L = 9(2)-11

L=18-11

L=7

The length and width of the rectangle is equals to 7inches and 2inches respectively.

" Rectangle is defined as the quadrilateral whose opposite sides are congruent and parallel to each other , one of the interior angle is of measure 90°."

Formula used

Perimeter of the rectangle = 2 (length + width)

According to the question,

Given,

Perimeter of the rectangle = 18inches

'x' represents the width of the rectangle

As per the condition given,

Length of the rectangle = [tex]9x -11[/tex]

Substitute the value in the formula we get,

[tex]2(9x -11 +x)=18[/tex]

⇒[tex](10x-11)=\frac{18}{2}[/tex]

⇒[tex]10x= 9+11[/tex]

⇒[tex]x= 2inches[/tex]

Length of the rectangle = [tex]9(2)-11[/tex]

                                        = [tex]18-11[/tex]

                                        = [tex]7inches[/tex]

Hence,  length and width of the rectangle is equals to 7inches and 2inches respectively.

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Answer:

the 2nd

Step-by-step explanation:

[tex] \sqrt[5]{4} \times \sqrt{2 } \\ {4}^{ \frac{1}{5} } \times {2}^{ \frac{1}{2} } \\ {2}^{2 \times \frac{1}{5} } \times {2}^{ \frac{1}{2} } \\ {2}^{ \frac{2}{5} + \frac{1}{2} } \\ {2}^{ \frac{9}{10} } = \sqrt[10]{ {2}^{9} } [/tex]

Answer:

The next answer is 6x^4

Step-by-step explanation:

Answer:

The overview of the given situation is described in the explanation segment below.

Step-by-step explanation:

As we know that the determination's coefficient will be:

⇒  [tex]R^2[/tex]

(Percent of variance in the answer variable described by the explanatory variable).

Now the correlation among the two variables will be:

As we know,

⇒  [tex]r^2=R^2[/tex]

⇒  [tex]r^2=0.79[/tex]

⇒  [tex]r=\sqrt{0.79}[/tex]

⇒  [tex]r=0.889[/tex]

The percentage value of 79% given in the context is the percentage of variation in the prevalence of Hantavirus which can be explained by precipitation. Hence, the coefficient of determination, R².

Hence, the metric shows that 79% of changes in prevalence is caused by the regression line, hence the R² value.

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Answer:

x= -1/2 and x=2/11

Step-by-step explanation:

Write the 7x as a difference. It'll make it easier to factor out. An example of this would be 11x-4x

Therefore, the equation would look like this: 22x^2 + 11x-4x -2 =0

Look at it as if there are two equations: 22x^2+11x and -4x-2

Factor out the greatest common factor, which is 11 from the first equation. The equation will then look like this: 11x(2x+1)

Take the GCF for the second equation as well (which is -2). The equation should then also look like this: (2x+1)

Use the numbers on the outside of each of the parenthesis to form its own equation (to factor it out). This will be 11x-2

Now we have factored! Since the parenthesis equations are the same, we know that that is also part of the equation, so:

(11x-2)(2x+1)

Solve each equation for x by equaling them both to zero