10 points and brainliest. solve by elimination

Solve the problem.

marta [7]

Answer:

There will be 90 ways to reach Greenup from Charleston.

Step-by-step explanation:

<em>Option C: 90 is correct.</em>

Let's name all the ways and try to visualize the roads.

C = Charleston

M = Mattoon

T = Toledo

G = Greenup

Task = Charleston to Greenup. How many different ways to reach?

1 1

2 2 1

C 3 M 3 T 2 G

4 4 3

5 5

6

So, Refer to this above diagram.

If we Start from C then go to 1 and then go to M and then go to 1 and then go to T and then go to 1 and then go G.

If you notice, in this single possibility we have 3 ways: C to 1 to M, M to 1 to T, T to 1 to G.

It means we will have: 5 x 6 x 3 = 90 number of ways to reach greenup from Charleston.

8 0

3 years ago

A brand of clay brick tiles has the dimensions 3 5 8 by 7 5 8 by 1 2 inch. These thin bricks are commonly used for floors. Estim

raketka [301]

Answer: The cost to tile the floor is $318.24.

Step-by-step explanation:

Since we have given that

Dimensions of floor is 12 by 17 foot.

So, Area of floor would be

$12\times 17\\\\=204\ sq.\ foot$

As we know that 1 foot = 12 inch

So, Area of floor would be

$204\times (12)^2\\\\=204\times 144\\\\=29376\ sq.\ foot$

Dimension of brick tiles is given by

$3\dfrac{5}{8}\ by\ 7\dfrac{5}{8}\ by\ \dfrac{1}{2}$

So, Area of brick tiles is given by

$2(lb+bh+lh)\\\\=2(\dfrac{29}{8}\times \dfrac{61}{8}+\dfrac{61}{8}\times \dfrac{1}{2}+\dfrac{29}{8}\times \dfrac{1}{2})\\\\=2(\dfrac{1769}{64}+\dfrac{61}{16}+\dfrac{29}{16})\\\\=2\times \dfrac{1769+244+116}{64}\\\\=\dfrac{2129}{32}$

So, Number of clay brick would be

$29376\div \dfrac{2129}{32}\\\\=29376\times \dfrac{32}{2129}\\\\=\dfrac{29376\times 32}{2129}\\\\=441.53\\\\\approx 442$

cost of each clay brick = $0.72

So, Total cost of flooring would be

$442\times 0.72\\\\=\$318.24$

Hence, The cost to tile the floor is $318.24.

7 0

3 years ago

The vertices of a parallelogram are A(x1,y1), B(x2,y2), C(x3,y3), D(x4,y4)

Tju [1.3M]

<span>For a parallelogram to be proven to be a rectange, the opposide sides must be parallel and the two adjacent sides must be perpendicular. For two parallel sides, the slope of the two sides is equal. Thus, for the parallelogram to be a rectangle, AB is parallel to CD. The slope of AB = (y2 - y1)/(x2 - x1) while the slope of CD = (y4 - y3)/(x4 - x3) Also, BC is perpedicular to CD. For two perpendicular sides, the product of the slopes is -1. The slope of BC is given by (y3 - y2)/(x3 - x2). Therefore, for the parallelogram to be a rectangle. (y2 - y1)/(x2 - x1) = (y4 - y3)/(x4 - x3) and (y4 - y3)/(x4 - x3) x (y3 - y2)/(x3 - x2) = -1. The third option is the correct answer.</span>

3 0

3 years ago

Read 2 more answers

Which pairs of points would result in a line with a rate of change of 2:1? Select all that apply.

Helen [10]

Answer:

Options A, C, D are true.

Step-by-step explanation:

We have to choose the pair of points from that given in the attached file which will result in a line with a rate of change i.e. slope of 2:1 i.e. 2.

A. The points are (-4,-11) and (-2,-7).

Then the slope of the joining line is $\frac{-7-(-11)}{-2-(-4)} =2$