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3 years ago

Jarod read 36 pages out of his 180 page book.

1 answer:

4 0

Data:
Read pages = 36
Total pages = 180
<span>The ratio of pages read = ?

Solving:
</span> $The\:ratio\:of\:pages\:read = \frac{read\:pages}{total\:pages}$
$The\:ratio\:of\:pages\:read = \frac{36}{180} \frac{\div36}{\div36} \to \boxed{\boxed{The\:ratio\:of\:pages\:read = \frac{1}{5}}}$ <span>
</span>

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How do I solve (fraction) 2/3d=1/6?

IgorLugansk [536]

Answer:

d = 1/4

Step-by-step explanation:

Multiply the equation by the inverse of the coefficient of the variable.

$\dfrac{2}{3}d=\dfrac{1}{6}\\\\\dfrac{3}{2}\cdot\dfrac{2}{3}d=\dfrac{3}{2}\cdot\dfrac{1}{6}\\\\d=\dfrac{3\cdot 1}{2\cdot 6}=\dfrac{3}{12}=\dfrac{3\cdot 1}{3\cdot 4}\\\\d=\dfrac{1}{4}$

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3 years ago

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).

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3 years ago

What is the greatest common factor of 14 and 35

-BARSIC- [3]

$14|2\\.\ 7|7\\.\ 1|\\\\14=2\times\boxed7\\\\35|5\\.\ 7|7\\.\ 1|\\\\35=5\times\fbox7\\\\LCD(14;\ 35)=\boxed7$

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3 years ago

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Mitch is replacing all the light bulbs in his home with energy efficient LED light bulbs. How many packages of 4 will he need to

lapo4ka [179]

C) 22

86/4 = 21.5
*5 Or more, raise the score*
(rounds to 22)
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3 years ago

REALLY NEED HELP! PLEASE

Soloha48 [4]

D is the right answer because g is midpoint of ah and e is midpoint of ab and eg is parallel to bh so eg equals half bh

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3 years ago

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