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3 years ago

Find the midpoint P(16,7) and Q(12, -3) With work.

Mathematics

2 answers:

hichkok12 [17]3 years ago

8 0

Answer:

(14, 2 )

Step-by-step explanation:

Use the midpoint formula

[0.5(x₁ + x₂), 0.5(y₁ + y₂) ]

with (x₁, y₁ ) = (16, 7) and (x₂, y₂ ) = (12, - 3)

midpoint = [0.5(16 + 12), 0.5(7 - 3) ] = [0.5(28), 0.5(4) ] = (14, 2 )

valkas [14]3 years ago

6 0

Answer:

M= (14, 2)

Step-by-step explanation:

M= midpoint

M = ((x1+x2)/2), ((y1+y2)/2)

where:

x1=16

x2=12

y1=7

y2=-3

so we have:

M= ((16+12)/2) , ((7-3)/2)

M= (14, 2)

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Como podríamos saber cuantos camellos le corresponden a cada hermano en realidad

SCORPION-xisa [38]

Answer:

Eldest brother = 18 camels

2nd brother = 12 camels

Youngest brother = 4 camels

Step-by-step explanation:

Question posted:

How could we know how many camels actually correspond to each brother?

It is from "the man who calculated":

The question is incomplete without the background information.

Based on the question, It has to do with sharing an inheritance of 35 camels among 3 brothers.

"The man who calculated", by Malba Tahan.

Since the complete question isn't available, we are going to look at the following question to understand how to do the calculation.

Question:

How can an inheritance of 35 camels be divided among three brothers in such a way that the eldest brother gets half of them, the second one gets 1/3 of the total and the youngest brother gets 1/9 of the total camels?

Solution:

Total number of camels= 35

Eldest brother gets half: 1/2 of 35 gives a fraction and not an whole number

2nd brother = 1/3 of 35 (gives a fraction)

3rd brother = 1/9 of 35 (gives a fraction)

Since we can't have a camel in fraction except in whole number, we would look for the closest number to 35 that would be divided by 2, 3 and 9 respectively without giving a fraction.

Number 36 is the closest number to 35 that satisfies this condition.

1st brother = 1/2 × 36 = 18 camels

2nd brother = 1/3 × 36 = 12 camels

3rd brother = 1/9 × 36 = 4 camels

Now let's add the camels the 3 brother got together = 18 + 12 + 4 = 34 camels

Total camels - amount shared = 35 -34 = 1

Meaning one camel is remaining. The distributor would keep the remaining one as that's the way such distributions could be achieved.

8 0

3 years ago

Maggie purchased 8 pounds of ground beef for $18.00. Which of the following does NOT represent the same price per pound?

agasfer [191]

Answer: 5 pounds of ground beef ( don't see second :-( )

Step-by-step explanation: I found the unit rate per pound ( 2.25 ) and then multiplied that by the other pounds to compare the two prices and I only found 5 pounds to be incorrect, but I'll keep digging, hope this helps!

7 0

3 years ago

Simplify by dividing 3/5 ÷ -4/9 1. -27/20 2. 27/20 3. -12/45 4. 12/45

kramer

Answer:

The answer to your question is -27/20

Step-by-step explanation:

Divide 3/5 ÷ - 4/9

Process

1.- Just multiply the numerator of the first fraction by the denominator of the second fraction.

3 x - 9 = -27

2.- Multiply the denominator of the first fraction by the numerator of the second fraction.

5 x 4 = 20

3.- Join both results

-27/20

5 0

3 years ago

A company manufactures two different sizes of boat lifts. The smaller lift requires 1 hour in the welding department and 2 hours

qaws [65]

Answer:

The solution that optimizes the profit is producing 0 small lifts and 50 large lifts.

Below are all the steps explained in detail.

The graph is attached.

Explanation:

1. Name the variables:

x: number of smaller lifts
y: number of larger lifts

2. Build a table to determine the number of hours each lift requires from each department:

Number of hours

small lift large lift total per department

Welding department 1x 3y x + 3y

Packaging department 2x 1y 2x + y

3. Constraints

150 hours available in welding: x + 3y ≤ 150
120 hours available in packaging: 2x + y ≤ 120
The variables cannot be negative: x ≥ 0, and y ≥ 0

Then you must:

draw the lines and regions defined by each constraint
determine the region of solution that satisfies all the constraints
determine the vertices of the solution region
test the profit function for each of the vertices. The vertex that gives the greatest profit is the solution (the number of each tupe that should be produced to maximize profits)

4. Graph

See the graph attached.

Here is how you draw it.

x + 3y ≤ 150
draw the line x + 3y = 150 (a solid line because it is included in the solution set)
shade the region below and to the left of the line

2x + y ≤ 120
draw the line 2x + y ≤ 120 (a solid line because it is included in the solution set)
shade the region below and to the left of the line

x ≥ 0 and y ≥ 0: means that only the first quadrant is considered

the solution region is the intersection of the regions described above.

take the points that are vertices inside the solutoin region.

5. Test the profit function for each vertex

The profit function is P(x,y) = 25x + 90y

The vertices shown in the graph are:

(0,0)
(0,50)
(42,36)
(60,0)

The profits with the vertices are:

P(0,0) = 0
P(0,50) = 25(0) + 90(50) = 4,500
P(42,36) = 25(42) + 90(36) = 4,290
P(60,0) = 25(60) + 90(0) = 1,500

Thus, the solution that optimizes the profit is producing 0 smaller lifts and 90 larger lifts.

3 0

3 years ago

Mark the statements that are true. A. An angle that measures π/4 radians also measures 45°. B. An angle that measures 180° also

FinnZ [79.3K]

Answer:

TRUE: A, B, C

False: D

Step-by-step explanation:

A full circle of 360° has a radian measure of 2π radians. The relationship is proportional, so π radians is 180°.

A. An angle that measures π/4 radians also measures 45°. TRUE

45° × π/180° radians = π/4 radians

B. An angle that measures 180° also measures π radians. TRUE

180° × π/180° radians = π radians

C. An angle that measures 60° also measures π/3 radians. TRUE

60° × π/180° radians = π/3 radians

D. An angle that measures π/3 radians also measures 30°. FALSE

30° × π/180° radians = π/6 radians

5 0

2 years ago