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Vladimir [108]
2 years ago
12

Marcus is picking songs to play during a slideshow. The songs are each 3\dfrac123

Mathematics
1 answer:
Lerok [7]2 years ago
6 0

Answer:

9 songs

Explanation:

Given:

The slideshow is 31 whole number 1/2 minutes long

convert to an improper fraction

31×2+1/2 = 63/2

The songs are each 3 whole number 1/2 minutes long

convert to an improper fraction

3×2+1/2 = 7/2

To find the number of songs that Marcus is picking to play during a slideshow, divide the slideshow by the long of one song

(63/2) / (7/2)

= 9 songs.

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The slope of the line is 2 if that is what you're looking for
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Question 14 (1 point)
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Step-by-step explanation:

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Suppose he starts at 100 dollars.

After week one, he puts in 100 + 15 = 115 dollars.

The 15 dollars represents an increase of  15/100

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4 0
3 years ago
To factor the quadratic expression x^2−8x−10 by completing the square, what value would be added? A. 64 B. 8 C. 16 D.-16
Elan Coil [88]

Answer:

C

Step-by-step explanation:

When completing the square, we essentially want to create a perfect square trinomial by adding a constant.

If we have the following expression:

x^2+bx

And we want to complete the square, we will need to divide the b-coefficient by half and then square it.

Thus, the added term should be:

(b/2)^2

In the given equation, we have:

(x^2-8x)-10

The b term here is 8. Therefore:

(8/2)^2\\=(4)^2\\=16

The value we would add would be 16.

The answer is C.

Further notes:

To complete the square, add 16 like mentioned earlier. However, we also need to subtract 16 to balance things out:

(x^2-8x)-10\\=(x^2-8x+16)-10-16\\

The expression inside the parentheses is now a perfect square trinomial. Factor it:

=((x)^2-2(4)(x)+(4)^2)-26\\=(x-4)^2-26

And we are done!

4 0
3 years ago
Read 2 more answers
Find the equation of the line that is parallel to x=5y-8 and pass through (6, -5) in slope intercept form
DochEvi [55]

Answer:

y=1/5x-31/5 (or y=0.2x-6.2 in decimals)

Step-by-step explanation:

x=5y-8     (original equation)

x+8=5y <u>(Addition Property of Equality)</u>

1/5x+8/5=y <u>(Division Property of Equality, </u><u>slope </u><u>of </u><u><em>original equation </em></u><u>is </u><u>1/5</u><u>)</u>

<u />

y-y1=m(x-x1)    <u>(point-slope formula)</u>

y-(-5))=1/5(x-(6)) <u>(plug in the slope that was found earlier and the point given in the question)</u>

y+5=1/5(x-6)

y+5=1/5x-6/5   (Distributive Property of Multiplication)   Note:  5 = 25/5

<u>y=1/5x-31/5</u> (Subtraction Property of Equality, and there's your answer)

<u>y=0.2x-6.2</u><em> </em>(This is the same answer, but written with decimals)

5 0
3 years ago
For every 5 coins carmen gets ,she gives 2 to her brother Frankie.If carmen has 9 coins,howmany coins does Frankie have?
FrozenT [24]

Answer:

Frankie have 6 coins

Step-by-step explanation:

For every 5 coins Carmen gets ,she gives 2 to her brother Frankie

Out of 5 coins, Carmen given 2 to her brother Frankie

So Carmen has 3 coins and Frankie has 2 coins

Ratio of coins , Frankie to Carmen is

2: 3

We need to find the number of coins Frankie has if Carmen has 9 coins

ratio of Frankie to Carmen is x : 9

Now make a proportion and solve for x

\frac{2}{3} =\frac{x}{9}

Cross multiply it

2*9 = 3*x

18 = 3x

Now divide both sides by 3

so x= 6

Frankie have 6 coins

7 0
3 years ago
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