Use the Distributive Property to simplify the expression.

4(x + 6)

y = (1/6)x + 7

y = mx + b is the slope intercept equation

slope (m) = 1/6 which is rise/run so up 1, and right 6

point (-6, 6) means x = -6 and y = 6

substitute variables to see what is left to find.

6 = (1/6)(-6) + b --> solve for b.

6 = -1 + b --> 7 = b *** now reapply to slope intercept form with the exception of points (x, y) to obtain slope intercept formula.

y = (1/6)x + 7

Answer: 3 1/3

Step-by-step explanation:

glasses/hour = ((1/6) glasses) / ((1/20) hour)

= ((1/6) glasses) * (20/hour)

=20 glasses / 6 hour

=10 glasses / 3 hour

= 3 1/3 glasses/hour

Answer: y= 1/5x+2 and 3/5x+3 and spmeyjonddhoiwejs

Step-by-step explanation:

Answer:

i think it is

8,31,39,70,109

Step-by-step explanation:

Answer:

21

Step-by-step explanation:

The area of a triangle is (1/2) * base * height. In this case, the base is the distance between (-5, -2) and (1, -2), meaning it's 6 units. The height is the distance from (-3, 5) to the line y = -2, so the height is 7 units. So, the area is (1/2) * 6 * 7 = 21 square units

Answer:

The answer here is 240!

Answer:

1.  18n+9

2. 6s-54

3. 3x+12

4. 6s

5. 5z+30

Answer:

Step-by-step explanation:

The volume of a prism is the product of the area of the base and the height of the prism. Prism volume (V) = B × h, where, B is the area of the base and h is the height of the prism. = l × w × h, where l, w, and h are the length, width, and height of the rectangular prism.

The volume of the triangular prism with dimension 2.5 cm, 3.2 cm and 8 cm is 32 cm³.

Given is a triangular prism with dimension 2.5 cm, 3.2 cm and 8 cm.

We need to find its volume.

The volume of the triangular prism = base area × height

Here,

Base area = area of the triangle

= 1/2 × base × height

= 1/2 × 3.2 × 2.5

= 4 cm²

And,

Height of the prism = 8 cm

Substituting the values,

V = 4 × 8

V = 32 cm³

Hence the volume of the prims is 32 cm³.

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Answer:  Function

Step-by-step explanation:

I know bc im a teacher

Answer:

274

Step-by-step explanation:

The 2nd, 5th, 8th, 11th, 14th digits are equal and so are the 3rd, 6th, 9th, 12th, 15th.

The credit card number is 4274274274274274 and the last three digits are 274.

Answer: A: Yes

B: 12 Customers

Step-by-step explanation:

Part A: Yes since each time it can go up by 1 for customers and 48 for towers each time

Part B: 1 customer (thousands) is equal to 48 towers

so if there are 576 towers let's divide: 576/48 = 12

There will be 12 customers (thousands) for 575 towers

Answer:

yes

Step-by-step explanation:

yes

the probability of rolling a sum of 4 when rolling a 6-sided die twice is,

⇒ 3 / 36.

The term probability refers to the likelihood of an event occurring. Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.

Now, To determine the probability of rolling a sum of 4 when rolling a 6-sided die twice, we need to first find all the possible outcomes when rolling a die twice.

Since, There are 6 possible outcomes when rolling a single die:

1, 2, 3, 4, 5, or 6.

Now, When rolling two dice, we can combine each of these outcomes with every other outcome.

Hence, This gives us a total of 6 x 6 = 36 possible outcomes when rolling two dice.

Thus, To find the number of outcomes that add up to 4, we can list them out:

1 + 3

2 + 2

3 + 1

So, there are three possible outcomes that add up to 4.

Hence, To find the probability of rolling a sum of 4, we need to divide the number of outcomes that add up to 4 by the total number of possible outcomes:

⇒ P(sum of 4) = 3/36

Therefore, the probability of rolling a sum of 4 when rolling a 6-sided die twice is 3 / 36.

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Answer:

21ft

Step-by-step explanation:

We are given that the support post is 10 ft tall.

Let x represents the distance between the support post and the front of the house, that means that 25-x will be the distance from back.

By Geometric Mean Theorem, the length of the altitude to the hypotenuse of a right triangle is the geometric mean of the lengths of the segments of the hypotenuse.

So, by the previous Theorem, we get:

We got that the distance between the support post and the front of the house is 4 ft, while the distance between the support post and the back of the house is  ft.    

∠CAB +∠ CBA +∠ ACB = 180°

Sum of all angle of triangle is 180° ..

75 + 75 + ∠ACB = 180°

∠ACB = 180° - 150°

∠ACB = 30°

Now ,

x = ∠ACB ( being vertically opposite angle)

x = 30°

The angle measure of x is 30°.

The polygon known as a triangle has three sides and three vertices.

The triangle's total angle is 180 degrees.

Given that a triangle has 2 known angles measuring 75° and 75°.

Let the third missing angle measure is y.

And y and x are opposite angles in the diagram.

So, x = y.

The sum of all the interior angle measures of a triangle is 180°.

So, 75 + 75 + y = 180

y = 180 - 150

y = 30°

So x = y = 30°

Therefore, x = 30°.

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Answer:

The scale factor is 4, which represents an enlargement. And it grows from 0.25 to 0.8.

Step-by-step explanation:

The original hexagon has been enlarged by a scale factor of 4, meaning that each length and width of the original hexagon has been multiplied by 4. This means that the dimensions of the second hexagon are 4 times larger than the dimensions of the first hexagon.

In this case, the original side length of 0.25 has been multiplied by 4, resulting in a new side length of 0.25 * 4 = 1. This represents an enlargement of the original hexagon, since all dimensions have increased.

To summarize, the first hexagon has been scaled up by a factor of 4 to form the second hexagon, resulting in an enlargement of the original shape. The side length of the original hexagon has increased from 0.25 to 0.8, which represents the growth of the hexagon.

Answer:

The answer is 11/12! Hope it helps!

Answer:

He will be exactly twice as old as his sister in -8 years. Logically, he can't age backward, but this is the answer.

Answer: hope this helps ♡

Jack will be twice as old as his sister in -8 years.

Step-by-step explanation:

If Jack could age backwards, he would be twice as old as his sister in -8 years.

Jack = 12

Amy = 2

2*2 (Amy) = 4

12 - 8 = 4  (we got 8 by subtracting amy's age from jack's age: 12-2=8)

4 is double 2.

Answer:

Step-by-step explanation:

jbariupbwaurcibrievb

Answer:

1. 9, 4

2. 46, 10

3. 18, 14

4. 10, 14

5. 17, 32

6. 5, 7

7. 3, 70

8. 3, 20, 10

9. 7, 16

10. 7, 5

11. 9, 120

12. 12, 1

Step-by-step explanation:

Definition of coefficient. Your welcome :)

Answer:

B

Step-by-step explanation:

Probability of apple :

No. of apple / No. of fruits

• 10/50

• 0.2

Probability of banana :

No. of banana / No. of fruits

• 15/50

• 0.3

Probability of lemon :

No. of lemon / No. of fruits

• 6/50

• 0.12

Probability of orange :

No. of orange / No. of fruits

• 14/50

• 0.28

Probability of pear :

No. of pear / No. of fruits

• 5/50

• 0.1

Answer:

Change in temperature is +8° C

Step-by-step explanation:

Change in temperature = Final temperature - Initial temperature:

                                =ΔT = [tex]F_{T} - I_{T}[/tex]

                                        = (- 2° C)- (- 10° C)

                                        = [tex]- 2 + 10[/tex]

∴ Change in temperature  = + 8° C

Answer: (b) - surface area

              (c) - volume