Dylan and Sam share a group of baseball cards in a ratio of 8:3. If Sam has 15 baseball cards, how many does Dylan have?

Mathematics

1 answer:

Marrrta [24]3 years ago

8 0

Answer:

For every 3 cards that Sam has, Dylan has 8. So if Sam has 15 (3x5), then Dylan has 40 (8x5).

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(9, 19) (2, 16)<br> Write the coordinates as decimals or integers.

9966 [12]

Answer:

In decimal 0.428571428

Step-by-step explanation:

The slope = (y2 - y1)/(x2 - x1) y2 = 16, y1 = 19x2=2 and x1=9

The slope = (16 - 19)/(2 -9)

The slope = (-3)/(-7)

The slope = 0.428571428

So in decimal form the coordinates are going to be written as 0.428571428

Slope is the steepness of a line, it is the difference between the y coordinates divided by the difference in x coordinates.

6 0

3 years ago

Triangle R Q S is cut by line segment T U. Line segment T U goes from side Q R to side Q S. The length of Q T is 32, the length

Marizza181 [45]

The statement that is true is option A that is Line segment TU is parallel to line segment RS because StartFraction 32 Over 36 EndFraction = StartFraction 40 Over 45 EndFraction.

<h3>What is the line segment about?</h3>

The law of the side- splitter connote that when f the line is parallel to a side of the triangle and if that said line do intersects the other 2 sides, tt is said to divides those given sides proportionally.

So the converse means that when the sides are proportional so therefore, the side TU is said to be parallel to the side RS.

Thus;

$\frac{QT}{TR}$ = $\frac{32}{36} = \frac{8}{9}\\\\ \\$

$\\\frac{QU}{US} =\frac{40}{45} = \frac{8}{9}\\$

Therefore, the ratios are equal and as such TU is parallel to RS

Hence, The statement that is true is option A that is Line segment TU is parallel to line segment RS because StartFraction 32 Over 36 EndFraction = StartFraction 40 Over 45 EndFraction.

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