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2 years ago

9

Gavin and Ethan are training for a race. Last week,gavin ran 7 kilometers and Ethan ran twice as far as gavin what is the total

distance that gavin and Ethan ran last week express your answer in meters.

1 answer:

Irina18 [472]2 years ago

6 0

Answer:

14 km

Step-by-step explanation:

7x2

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A directed line segment begins at F(-8, -2), ends at H(8, 6), and is divided in the ratio 8 to 2 by G. What are the coordinates

I am Lyosha [343]

Given:

A directed line segment begins at F(-8, -2), ends at H(8, 6), and is divided in the ratio 8 to 2 by G.

To find:

The coordinates of point G.

Solution:

Section formula: If a point divide a line segment with end points $(x_1,y_1)$ and $(x_2,y_2)$ in m:n, then the coordinates of that point are

$Point=\left(\dfrac{mx_2+nx_1}{m+n},\dfrac{my_2+ny_1}{m+n}\right)$

Point G divide the line segment FH in 8:2. Using section formula, we get

$G=\left(\dfrac{8(8)+2(-8)}{8+2},\dfrac{8(6)+2(-2)}{8+2}\right)$

$G=\left(\dfrac{64-16}{10},\dfrac{48-4}{10}\right)$

$G=\left(\dfrac{48}{10},\dfrac{44}{10}\right)$

$G=\left(4.8,4.4\right)$

Therefore, the coordinates of point G are (4.8, 4.4).

4 0

3 years ago

If y varies directly as x, and y=8 when x=3, find y when x=15.

Crank

Answer:

y=40

Step-by-step explanation:

The formula for Direct Variation is y=kx or k=y/x. In this case I would use k=y/x. If you're y is 8 and x is 3, this means that K=8/3. Using this, we know that X=15. We have to find a Y value so that the fraction with an x of 15 simplified is 8/3. To do this you would write 8/3 and y/15. Now cross multiply to get 3y=120. Divide by 3 to get y=40. View my attachment for the work!

8 0

3 years ago

How to write 6 38/100 as a decimal

maksim [4K]

6*100 = 600
600 + 38 = 638

therefore the answer is:
638/100

however this is an improper decimal.

6 0

3 years ago

Read 2 more answers

If two consecutive sides of a rhombus are represented by 3x - 6 and x + 14, then the perimeter of rhombus is

Zolol [24]

Answer:

96 is the answer.

3 0

2 years ago

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A tire on a toy car has a diameter of 8 cm if the toy car travels 12,560 cm approximately how many times does the tire rotate? U

Marina86 [1]

Answer:

The number of rotations completed by tire = 500.

Step-by-step explanation:

The diameter of the tire of toy car = 8 cm

Now, DIAMETER = 2 x RADIUS

So, radius of the tire = D/2 = 8/2 = 4 cm

Now, Circumference of the Circle = 2πr

= 2 x 3.14 x 4 = 25.12 cm

Now, $\textrm{Total number of rotations} = \frac{\textrm{Total Area covered}}{\textrm{Area covered in 1 rotation}}$

= $\frac{12,560}{25.12} = 500$

The number of rotations completed by circle = 500.

6 0

3 years ago