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Blizzard [7]
3 years ago
13

Use the Distributive Property to simplify this expression. 15. (7 + 6w)6

Mathematics
1 answer:
antiseptic1488 [7]3 years ago
7 0

(7+6w)6

 7 x 6 = 42

 6 x 6 = 36

so it becomes:

42 +36w

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Write the equation for (-2,3) and (3,-1)
Bumek [7]

Answer:

y = -4/5x + 7/5

Step-by-step explanation:

Use slope intercept form to find the equation for the line:

y=mx+b

y= -4/5x + 7/5

8 0
3 years ago
Calculate 50% of 684 m.<br> Give your answer in metres (m).
Phantasy [73]

Answer:

<h2><u><em>342 m</em></u></h2>

Step-by-step explanation:

Calculate 50% of 684 m.

Give your answer in metres (m).

50% = 1/2

so

684 : 2 = 342 m

4 0
2 years ago
Read 2 more answers
What's the lateral area of a right circular cone if the diameter of the base is 4 m and the slant height of the cone is 15m? Rou
Mekhanik [1.2K]
The formula for the lateral surface area of a right circular cone is:
\pi rl
where r is the radius of the base, and l is the slant height.
Plugging in the values we get:
Lateral\  area= \pi \times \frac{4}{2} \times15\  m^{2}
5 0
3 years ago
The school store opened on the first day of school with 45 notebooks and 15 pencils. Within two days it sold all of these items.
malfutka [58]

The number of pencils sold on the first day  is 5 pencils.

The number of notebooks sold on the first day  is 10 notebooks.

The number of pencils sold on the second day 10 pencils.

The number of notebooks sold on the second day   35 notebooks.

<u>Step-by-step explanation:</u>

Given data,

  • The total number of notebooks in the store = 45 notebooks.
  • The total number of Pencils in the store = 15 pencils.
  • The number of days that all items were sold = 2 days.

Now, you have to calculate the no.of notebooks and no. of pencils sold each day.

<u>In the first day :</u>

The number of sale of notebooks and pencils are given by,

Twice as many notebooks were sold as pencils.

Let us take, the number of pencils sold on the first day  = x

And,  the number of notebooks sold on the first day  = 2x (Twice as pencils).

<u>In the second day :</u>

The number of sale of notebooks and pencils are given by,

For every 7 notebooks​ sold, 2 pencils were sold.

The number of pencils sold on the second day =   2y

The number of notebooks sold on the second day   = 7y

<u> The equation is framed for number of notebooks sold on each day :</u>

The number of notebooks sold ⇒ 2x + 7y = 45   -------(1)

<u> The equation  is framed for number of pencils sold on each day :</u>

The number of pencils sold: x + 2y = 15  ----------(2)

Solving the equations by multiplying eq(2) by 2 and subtract it from eq(1),

  2x + 7y = 45

-<u> (2x + 4y) = 30</u>

   <u>        3y = 15  </u>

⇒ y = 15/3

⇒ y = 5

The value of y is 5.

Substitute y=5 in eq (2),

⇒ x + 2(5) = 15

⇒ x + 10 = 15

⇒ x = 15 - 10

⇒ x = 5

The value of x is 5.

First day sale,

The number of pencils sold on the first day  = x ⇒ 5 pencils

The number of notebooks sold on the first day  = 2x ⇒ 10 notebooks

Second day sale,

The number of pencils sold on the second day =   2y ⇒ 10 pencils

The number of notebooks sold on the second day   = 7y ⇒ 35 notebooks.

8 0
3 years ago
What is the slope between the points (8, -2) and (-7, 10)
lara [203]
Slope formula:
(y2-y1)/(x2-x1)

Substitute in the points into the slope formula.

Slope= [10-(-2)] / [(-7)-8]
Slope= (10+2) / (-15)
Slope= 12/-15
Slope= -12/15
Simplify (3 goes into each)
Slope= -4/5

Hope this helps!! :)
8 0
3 years ago
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