2 years ago

Can someone help, please ;)

Mathematics

1 answer:

8090 [49]2 years ago

6 0

Answer:

7/12 would be ur answer

Step-by-step explanation:

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Ann has the 5 newest music CD's which is 3 less than twice the amount that Bob has.

kupik [55]

We can write it down as:

5 = 2x - 3 / + 3 (both sides)
8 = 2x / : 2 (both sides)
x = 4

Bob has 4 CDs. Let's check it:

5 = 2 * 4 - 3
5 = 8 - 3
5 = 5

Correct.

8 0

2 years ago

What are the coordinates of the point on the directed line segment from (1, -5)(1,−5) to (10, 1)(10,1) that partitions the segme

Hitman42 [59]

Check the picture below.

$\textit{internal division of a line segment using ratios} \\\\\\ A(1,-5)\qquad B(10,1)\qquad \qquad \stackrel{\textit{ratio from A to B}}{1:5} \\\\\\ \cfrac{A\underline{C}}{\underline{C} B} = \cfrac{1}{5}\implies \cfrac{A}{B} = \cfrac{1}{5}\implies 5A=1B\implies 5(1,-5)=1(10,1)$

$(\stackrel{x}{5}~~,~~ \stackrel{y}{-25})=(\stackrel{x}{10}~~,~~ \stackrel{y}{1})\implies C=\underset{\textit{sum of the ratios}}{\left( \cfrac{\stackrel{\textit{sum of x's}}{5+10}}{1+5}~~,~~\cfrac{\stackrel{\textit{sum of y's}}{-25+1}}{1+5} \right)} \\\\\\ C=\left( \cfrac{15}{6}~~,~~\cfrac{-24}{6} \right)\implies C=\left(\cfrac{5}{2}~~,~~-4 \right)$