Which equation shows the same relationship as 4=1/5x20

A family went out to eat. Below is the number of corn dogs that each of the four people ate.

katrin [286]

Answer:

What are you asking? I know the number of corn dogs but what are we suposed to figure out?

Step-by-step explanation:

8 0

3 years ago

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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 $(-4,8)$

EXPLANATION

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 right angle is made.

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 parallel to the y-axis. In other words, it is a vertical line.

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

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

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

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

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

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

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

$Slope_{KL}=0$

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

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.

3 0

3 years ago

A one-year subscription to the monthly magazine costs $15.96. At this price, what is the cost for each issue?

natka813 [3]

Answer:

Your answer is that the magazine would cost $1.33 per issue.

Step-by-step explanation:

There are 12 months in a year and we get one issue per month, so we need to divide the cost 15.96 by 12 to find out the price per month. Your answer is that the magazine would cost $1.33 per issue.

6 0

3 years ago

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You are buying fruit to make fruit baskets apples come in bags of 20. Ornages come in bags of 16. And bananas come in bags of 32

QveST [7]

Answer:

160 basket of each fruit baskets we can make using all fruit.

Step-by-step explanation:

Given:

Oranges comes in bags = 16

Apples comes in bags = 20

bananas come in bags = 32

We need to find the greatest number of fruit baskets that you can make using all fruit.

Also Given:

You have one bag of each fruit basket must be identical.

So we will first find the least common multiple of all the numbers we get;

20 = 20,40,60,80,100,120,140,160

16 = 16,32,48,64,80,96,112,128,144,160

32 = 32,64,96,128,160

The least common multiple is 160.

Hence we can say that, 160 basket of each fruit baskets we can make using all fruit.

8 0

3 years ago

If the endpoints of `bar(AB)` have the coordinates A(9, 8) and B(-1, -2), what is the midpoint of `bar(AB)`?

lys-0071 [83]

The endpoints of bar(AB) have coordinates are A(9, 8) and B(-1, -2), so the midpoint is simply the average of x- component of both coordinates and the average of y- component of both coordinates.

A=(x₁, y₁)=(9, 8)

B=(x₂, y₂)=(-1, -2)

The midpoint formula is given below;

$Midpoint=(x,y)= (\frac{x_{1}+x_{2}}{2} , \frac{y_{1}+y_{2}}{2} )$

$=(\frac{9-1}{2} , \frac{8-2}{2} )$

$= (4 , 3 )$ is the midpoint of bar(AB).

6 0

3 years ago