Complete the equation (4,-8) and (8,5)

Denise is designing the seating arrangement for a concert an outdoor theater. To give everyone a good view, each row must have 6

Soloha48 [4]

Given:
1st term = 11
common difference = 6

f(x) = 11 + 6(x - 1)
f(18) = 11 + 6(18-1)
f(18) = 11 + 6(17)
f(18) = 11 + 102
f(18) = 113 number of seats in row 18.

Row
 1 11 11
2 11 6 17
 3 17 6 23
 4 23 6 29
 5 29 6 35
 6 35 6 41
 7 41 6 47
 8 47 6 53
 9 53 6 59
 10 59 6 65
 11 65 6 71
 12 71 6 77
 13 77 6 83
 14 83 6 89
 15 89 6 95
 16 95 6 101
 17 101 6 107
 18 107 6 113

6 0

3 years ago

You are dealt one card from a 52-card deck. find the probability that you are not dealt a two

Rina8888 [55]

There are 52 cards in a deck.

First we find the probability of drawing a 2

There are 4 cards that shows 2

Probability of drawing a 2 card fro 52 cards = 4 / 52

We know that P( not A) = 1 - P(A)

So the probability (not dealt a 2) = 1 - probability (dealt a 2)

= 1 - 4/52

= (52 - 4)/ 52 = 48/52

Now we simplify the fraction

48/ 52 = 12/13

Hence, the probability( not dealt a 2) = 12/13

7 0

3 years ago

Sierra’s book has 200 pages. If she reads 20% of her, she will have read 40 pages. If Sierra has read 120 pages of her 200 pages

marysya [2.9K]

Answer:

60%

Step-by-step explanation:

Multiply 40 by 3 and you get 120 so then you multiply 20% by 3 and get 60%

5 0

2 years ago

The surface area of the prism below is 264 square units . Find the missing dimensions of this prism. ( picture is in the picture

nignag [31]

Answer:

The missing dimension is 4 units.

Step-by-step explanation:

In the given prism,

Of all the surfaces,

There are three rectangular surfaces and two triangular surfaces

<h2>Analyzing areas of rectangular surfaces:</h2>

1)The two rectangles with dimensions of 15 units and 5 units:

The area of each rectangle = Length of rectangle $\times$ Breadth of rectangle

From the diagram,

Length of rectangle = 15 units,

Breadth of rectangle = 5 units.

Area of each rectangle = 15 $\times$ 5 ;

Area of each rectangle = 75 square units.

Sum of areas of the two rectangles = 2 $\times$ 75

Sum of areas of the two rectangles = 150 square units (equation 1)

2) The rectangle with the dimensions 15 units and 6 units:

The area of thus rectangle= Length of rectangle $\times$ Breadth of rectangle

From the diagram,

Length of rectangle = 15 units,

Breadth of rectangle = 6 units.

Area of the rectangle = 15 $\times$ 6 ;

Area of the rectangle = 90 square units. (equation 2)

From equation 1 and equation 2,

Therefore sum of areas of all rectangles in the prism = 150 + 90

Sum of areas of rectangles = 240 square units.

We also know,

Total surface area of the prism = Sum of areas of triangles + Sum areas of rectangles

Given, Total surface area of prism = 264 square units.

Therefore from the formula,

Sum of areas of triangles = Total surface area - sum of areas of reactangles

Sum of areas of triangles = 264 - 240

Sum of areas of triangles = 24 square units. (equation 3)

Let the missing dimension be 'h units'

<h2>Calculating sum of areas of triangles:</h2>

From diagram,both triangles are congruent,hence have the same area

Area of a triangle = $\frac{1}{2}\times base\times height$

From diagram,

Base = 6 units,

Height = h units.

Area of a triangle = $\frac{1}{2}\times 6\times h$ = 3h square units.

Sum of the areas of both triangles = 3h+3h = 6h square units.

Using equation 3, we get

6h = 24;

h = $\frac{24}{6}$

Therefore,

h = 4 units.

Therefore,

The missing dimension is 4 units.

4 0

3 years ago

Do the ratios 3:2 and 54:10 form a proportion

Bas_tet [7]

Answer:

No.

Step-by-step explanation:

3/2=1.5 and 54/10=5.4.

5 0

2 years ago