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Lana71 [14]
3 years ago
7

Teresa, John, and Manuel, have a total of $101 in their wallets. Manual has 3 times what Teresa has. John has $6 more than Teres

a. How much does each have?

Mathematics
1 answer:
german3 years ago
6 0
Teresa has 19, Manual has 57, and John has 25

Here’s how to do it:

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If x is a Poisson random variable with a mean of 10, what is the probability that x is greater than 6?
vladimir1956 [14]

Answer:

Step-by-step explanation:

6

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3 years ago
What is the equation, in slope-intercept form, of the perpendicular bisector of the given line segment?
frosja888 [35]

Complete Question:

The given line segment has a midpoint at (3, 1). On a coordinate plane, a line goes through (2, 4), (3, 1), and (4, -2).

What is the equation, in slope-intercept form, of the perpendicular bisector of the given line segment?

Answer:

y = \frac{1}{3}x

Step-by-step explanation:

From the question, we understand that the line goes through (2, 4), (3, 1), and\ (4, -2).

First, we calculate the slope of the above points

m = \frac{y_2 - y_1}{x_2 - x_1}

Where

(x_1,y_1) = (2,4)

(x_2,y_2) = (3,1)

m = \frac{1 - 4}{3 - 2}

m = \frac{-3}{1}

m = -3

Also; from the question, we understand that the line segment is perpendicular to the above points.

This slope (m2) of the line segment is calculated as:

m_2 = -\frac{1}{m}

Substitute -3 for m

m_2 = -\frac{1}{-3}

m_2 = \frac{1}{3}

Lastly, we calculate the equation of the line using:

y - y_1 = m_2(x - x_1)

The line segment has a midpoint at (3, 1)

So:

y - 1 = \frac{1}{3}(x - 3)

Open bracket

y - 1 = \frac{1}{3}x - 1

Add 1 to both sides

y - 1 +1= \frac{1}{3}x - 1+1

y = \frac{1}{3}x

Hence, the equation of the line segment is: y = \frac{1}{3}x

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Step-by-step explanation:

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MatroZZZ [7]
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3 0
3 years ago
16% of 130 is what number
earnstyle [38]
130 • .16 = 20.8 or 20 (4/5) or 104/5
Put the answer as 20.8 unless specified otherwise.
.16 is 16%
5 0
4 years ago
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