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DiKsa [7]
3 years ago
15

Three friends say they are friends A,B and C and they want to buy a teacher a gift so they each put in $10($30 total) and a four

th friend say he is friend D and uses the money and buys a $25 gift and has $5 left and gives each of the three friends $1 back so they technically used $9 each but 9x3=27 and there is $2 left from the $5 but 27+2=29 so when is the last dollar like how does this work?
Mathematics
1 answer:
vlada-n [284]3 years ago
4 0

Answer:

Step-by-step explanation:

You are using the wrong accounting system

Forget the nine dollars.

If the thing bought was 25 dollars, then each one of A B and C put in 25/3 = 8.3333 dollars. If 1 dollar each was going back, then the sum became 9 1/3 dollars. 3 * 9 1/3 = 27 + 1 = 28. There is 2 dollars left. Everything is fine.

25 + 3 = 28

The three each got 1 dollar back. But the total accounted for is 25 + 3 = 28

There's 2 left over. That makes 30. Everything's fine. There is no missing dollar.

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If we double the costs, then we are going to stretch the graph vertically (B).  Here is why.  If the cost was $6 in 2010 then it doubles in 2011 the new cost would be $12 for the same amount of refrigerators in 2010.  Thus the stretch vertically
6 0
4 years ago
Help please I need to answer this question
djverab [1.8K]

Answer:

D

Step-by-step explanation:

first find the perimeter of both triangles

Original perimeter: 72 in

scaled perimeter: 24 in

A is wrong since the scaled perimeter is actually smaller.

B is wrong because its not 6 times smaller

C is wrong since it's not 1/9 of the original

D is correct since the scaled is a 1/3 of the original perimeter (72*1/3 = 24)

6 0
3 years ago
Determine the present value P you must invest to have the future value A at simple intrest rate r after time t. A=$14,000, r=9.5
Ivan

Answer:

$10,144.93

Step-by-step explanation:

Amount formula; A = (Principal* rate* time) +Principal

A= (P*r*t) +P

A= 14,000

r= 9.5% OR 0.095 as a decimal

t= 4

Plug the numbers into the formula;

14,000 = (P* 0.095 *4 ) +P

14,000 = 0.38P +P

14,000 = 1.38P

Divide both sides by 1.38 to solve for P;

14,000/1.38 = P

P= 10,144.9275

Therefore, the present value (Principal) = $10,144.93

3 0
3 years ago
I sailed west to Hawaii against the wind at the speed of 12 knots/hour. When I returned, I sailed the same route with the wind a
expeople1 [14]

Answer:

Step-by-step explanation:

total time is 5 hr and total distance is 72 nautical miles

7 0
3 years ago
The green triangle is a dilation of the red triangle with a scale factor of s=1/3 and the center of dilation is at the point (4,
klasskru [66]

Given:

The scale factor is s=\dfrac{1}{3} and the center of dilation is at the point (4,2).

Red is original figure and green is dilated figure.

To find:

The coordinates of point C' and point A.

Solution:

Rule of dilation: If a figure is dilated with a scale factor k and the center of dilation is at the point (a,b), then

(x,y)\to (k(x-a)+a,k(y-b)+b)

According to the given information, the scale factor is \dfrac{1}{3} and the center of dilation is at (4,2).

(x,y)\to (\dfrac{1}{3}(x-4)+4,\dfrac{1}{3}(y-2)+2)            ...(i)

Let us assume the vertices of red triangle are A(m,n), B(10,14) and C(-2,11).

Using (i), we get

C(-2,11)\to C'(\dfrac{1}{3}(-2-4)+4,\dfrac{1}{3}(11-2)+2)

C(-2,11)\to C'(\dfrac{1}{3}(-6)+4,\dfrac{1}{3}(9)+2)

C(-2,11)\to C'(-2+4,3+2)

C(-2,11)\to C'(2,5)

Therefore, the coordinates of Point C' are C'(2,5).

We assumed that point A is A(m,n).

Using (i), we get

A(m,n)\to A'(\dfrac{1}{3}(m-4)+4,\dfrac{1}{3}(n-2)+2)

From the given figure it is clear that the image of point A is (8,4).

A'(\dfrac{1}{3}(m-4)+4,\dfrac{1}{3}(n-2)+2)=A'(8,4)

On comparing both sides, we get

\dfrac{1}{3}(m-4)+4=8

\dfrac{1}{3}(m-4)=8-4

(m-4)=3(4)

m=12+4

m=16

And,

\dfrac{1}{3}(n-2)+2=4

\dfrac{1}{3}(n-2)=4-2

(n-2)=3(2)

n=6+2

n=8

Therefore, the coordinates of point A are (16,8).

5 0
3 years ago
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