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3 years ago

AB has endpoints A(-9, 14) and B(21,5). Find the coordinates of midpoint M.

Mathematics

1 answer:

Lisa [10]3 years ago

6 0

Answer:

That point would be (.5,3)

Step-by-step explanation:

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Write an equation to represent the number of pages Jesse has read. Using x, the number of days Amir has been reading, write an e

katrin [286]

Question:

Jesse and Amir were assigned the same book to read. Jesse started reading on Saturday, and he is reading 30 pages a day. Amir didn't start until Sunday, but he is reading 35 pages a day.

How many days will it take Amir to catch up to Jesse, and how many pages will they each have read?

Write an equation to represent the number of pages Amir has read. Use x to represent the number of days Amir has been reading and y to represent the number of pages he has read.

Answer:

It will take 6 days

Step-by-step explanation:

For Jesse:

$Rate = 30\ pages/day$

This implies that Jesse will cover 30y in y days

For Amir:

$Rate = 35\ pages/day$

This implies that Amir will cover 35x in x days

Because Amir starts a day later,

$y = x + 1$

So, we have the following equations:

$Jesse = 30y$

$Amir= 35x$

$y = x + 1$

To get the number of days when they read the same number of pages, we have:

$Jesse = Amir$

Substitute values for Jesse and Amir

$30y = 35x$

Substitute x + 1 for y

$30(x+1) = 35x$

Open bracket

$30x+30 = 35x$

Collect Like Terms

$30 = 35x-30x$

$30 = 5x$

Solve for x

$\frac{30}{5} = \frac{5x}{5}$

$\frac{30}{5} = x$

$6 = x$

$x = 6$

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3 years ago

Carmen had one third cup of sugar for 3 pitchers of fruit juice . She poured the same amount of sugar into each pitcher .how muc

butalik [34]

Answer:

Step-by-step explanation:

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2 years ago

Ax+bx-c=0 x= _/(a __)

Ulleksa [173]

Ax+bx−c=0

Step 1: Add c to both sides.

ax+bx−c+c=0+c

ax+bx=c

Step 2: Factor out variable x.

x(a+b)=c

Step 3: Divide both sides by a+b.

x(a+b)a+b=ca+b

x=ca+b

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3 years ago

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Is there ever a time when a probability can be greater than 1.00, or less than 0.00?

timama [110]

Answer:

The probability of an event will not be less than 0. This is because 0 is impossible (sure that something will not happen). The probability of an event will not be more than 1. This is because 1 is certain that something will happen.

Step-by-step explanation:

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3 years ago

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The statement “if a=b, then a+5 = b+5” is an example of what property?

Tju [1.3M]

The addition property of equality

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4 years ago