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qaws [65]
3 years ago
15

Paula invited some friends to dinner, and she plans to make fajitas. At the grocery store, she spends $2.90 on red bell peppers

and $1.90 on green bell peppers. If both types of bell peppers cost $1.60 per pound, how many total pounds of bell peppers does she buy?
Mathematics
1 answer:
ivann1987 [24]3 years ago
8 0

The pounds of pepper and the amount are illustrations of unit rates

She bought a total of 3 pounds of bell pepper

<h3>How to determine the total pounds of bell pepper</h3>

The amount spent is given as:

Red bell pepper = $2.90

Green bell pepper = $1.90

The price per pound for both type of pepper is given as:

Rate = $1.60 per pound

So, the total pound is calculated as:

Pound = Total amount / Rate

This gives

Pound = \frac{2.90 + 1.90}{1.60}

Evaluate the sum

Pound = \frac{4.80}{1.60}

Divide

Pound = 3

Hence, she bought a total of 3 pounds of bell pepper

Read more about unit rates at:

brainly.com/question/19493296

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What are the coordinates of the orthocenter of △JKL with vertices at J(−4, −1) , K(−4, 8) , and L(2, 8) ?
PilotLPTM [1.2K]

ANSWER


The orthocenter is (-4,8)


<u>EXPLANATION</u>


The orthocenter is  the point of intersection of all the altitudes of a triangle.

If it is a right angle triangle then the orthocenter is the point at which the <em>right angle is made.</em>

If it is not a right angle triangle, then you have to find the equations of any two of the altitudes and solve simultaneously.

So you must first check to see if it is a right angle triangle that way you do not have to do bunch work.


The given triangle has vertices J(-4,-1), (-4,8), and L(2,8).


Slope_{JK}=\frac{8--1}{-4--4}


Slope_{JK}=\frac{8+1}{-4+4}


Slope_{JK}=\frac{9}{0}


Since the denominator is zero, the slope is undefined.

If the slope of a straight line is undefined, then that line is <em>parallel to the y-axis</em>. In other words, it is a <em>vertical line</em>.


Slope_{JL}=\frac{8--1}{2--4}


Slope_{JL}=\frac{8+1}{2+4}


Slope_{JL}=\frac{9}{6}


Slope_{JL}=\frac{3}{2}



Slope_{KL}=\frac{8-8}{2--4}


Slope_{KL}=\frac{0}{2+4}


Slope_{KL}=\frac{0}{6}


Slope_{KL}=0


if a straight line has a slope of zero, that line is parallel to the <em>x-axis</em> or it is <em>horizontal.</em>


From the slopes we can see that side KL of the triangle is horizontal and side JK is vertical. This two sides will meet at right angles at K.

See graph.

Therefore the coordinates of K, (-4,8) is the orthocenter of the given triangle.







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16 miles     =  12 miles

20 mins.        how many mins?

16    =   12       cross multiply       16? = 240   divide by 16     240 divided by 16 = 15 miles

20          ?                                                                                because 15 x 16 = 240

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