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3 years ago

5

A deli offers bag lunches with 2 bread choices and 3 meat choices, as shown in this tree diagram. What is the probability that s

omeone will randomly choose a turkey sandwich?

1 answer:

Ierofanga [76]3 years ago

3 0

Answer:

its 2/3 i think

Step-by-step explanation:

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What are the coordinates of the centroid of a triangle with vertices A(−3, 1) , B(1, 6) , and C(5, 2) ? Enter your answer in the

kirza4 [7]

<u>ANSWER</u>: The centroid is (1,3)

<u>Explanation:</u>

The centroid is the intersection of the medians of the triangle.

So we need to find the equation of any two of the medians and solve simultaneously.

Since the median is the straight line from one vertex to the midpoint of the opposite side, we find the midpoint of any two sides.

We find the midpoint of AC using the formula;

$N=(\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})$

$N=(\frac{-3+5}{2}, \frac{1+2}{2})$

$N=(\frac{2}{2}, \frac{3}{2})$

$N=(1, \frac{3}{2})$

The equation of the median passes through $B(1,6)$ and $N=(1, \frac{3}{2})$ .

This line is parallel to the y-axis hence has equation

$x=1$ -------first median.

We also find the midpoint M of BC.

$M=(\frac{1+5}{2}, \frac{6+2}{2})$

$M=(\frac{6}{2}, \frac{8}{2})$

$M=(3, 4)$

The slope of the median, AM is

$Slope_{AM}=\frac{4-1}{3--3}$

$Slope_{AM}=\frac{3}{6}$

$Slope_{AM}=\frac{1}{2}$

The equation of the median AM is given by;

$y-y_1=m(x-x_1)$

We use the point M and the slope of AM.

$y-4=\frac{1}{2}(x-3)$

$2y-8=(x-3)$

$2y-x=-3+8$

$2y-x=5$ -------Second median

We now solve the equation of the two medians simultaneously by putting $x=1$ in to the equation of the second median.

$2y-1=5$

$2y=5+1$

$2y=6$

$y=3$

Hence the centroid has coordinates $(1,3)$

7 0

3 years ago

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A family drove 357 miles in 5 hours, find the unit rate in miles per hour. DO NOT ROUND YOUR ANSWER

mixer [17]

Answer = 357/5 = 71.4 mile per hour

4 0

3 years ago

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Suppose △NBG≅△WTS. What is the corresponding congruent part for each segment or angle?

Anna71 [15]

NG ( first and last letter of NBG) = WS ( first and last letter of WTS).

BG = TS

G = S

N =W

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3 years ago

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How can complex fractions be used to solve problems involving ratios

strojnjashka [21]

When you have ratios, and some unknowns, you can create complex fractions from them. Bring them to the same denominator, and solve for x.

Example - we have this proportion:
2-x
5-45
And we can change it into fraction:
\frac{2}{5}=\frac{x}{45}

\frac{2*9}{5*9}=\frac{x}{45}

\frac{18}{45}=\frac{x}{45}
18=x

In case of more complex fractions it may come in handy.

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3 years ago

What is the base in the following: -55 power to 4

Alik [6]

Answer:

-55

Step-by-step explanation:

It would be -55 because the exponent is 4. So, that would leave -55 to be the right answer.

7 0

3 years ago