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N76 [4]
3 years ago
5

An image point of a tranformation has coordinates Y'(2, -4). If the pre-image point had coordinates Y(6, -12) what was the trans

formation and scale factor?
a. reflection with scale factor 3
b. reflection with scale factor 1/3
c. dilation with scale factor 3
d. dilation with scale factor 1/3
Mathematics
1 answer:
galina1969 [7]3 years ago
6 0
Dilation with a scale factor 1/3. the original points are three times as big as the transformed points, so the transformation needed to reduce the size by three times smaller.
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During a football game a concession stand sold a family three hamburgers and two hotdogs for a total of $13 it's sold another fa
guajiro [1.7K]

Answer:

The price of each hamburger is $3

The price of each hot dogs is $2  .

Step-by-step explanation:

Given as :

The total price of 3 hamburger and 2 hot dogs = $13

The total price of 2 hamburger and 5 hot dogs = $16

Let The price of each hamburger = $x

Let The price of each hot dogs = $y

<u>Now, According to question</u>

3 x + 2 y = 13              .........A

2 x + 5 y = 16              .......B

Now, Solving to eq A and B

3 × (2 x + 5 y ) - 2 × (3 x + 2 y ) = 3 × 16 - 2 × 13

Or, (6 x + 15 y) - (6 x + 4 y) = 48 - 26

Or, (6 x - 6 x) + (15 y - 4 y) = 22

Or, 0 + 11 y = 22

∴  y = \dfrac{22}{11}

i.e y = $2

so, The price of each hot dogs = y = $2

<u>Now, Put the value of y into eq B</u>

i.e 2 x + 5 y = 16

or, 2 x + 5 × 2 = 16

or, 2 x = 16 - 10

or, 2 x = 6

∴  x = \dfrac{6}{2}

i.e x = $3

So, The price of each hamburger = x = $3

Hence, The price of each hamburger is $3 and  The price of each hot dogs is $2  . Answer

3 0
3 years ago
A man traveled a certain number of miles by automobile and then nine times as far by airplane. His total trip was 600 miles in l
telo118 [61]

Answer:

The person traveled 540 miles by plane and 60 miles by automobile.

Step-by-step explanation:

The options are not given to choose from, but this question can be solved as it will only have one answer.

Let the miles traveled by automobile be = x

Then, miles traveled by airplane will be = 9x

Now, the total trip length was = 600 miles

4 0
3 years ago
12 is what percentage of 80
PIT_PIT [208]

Answer:  " 15 % " .

_______________________________

     →   " 12 is <u>  15% </u> of 80 " .

_______________________________

Step-by-step explanation:

_______________________________

12 = (n/100) * 80 ;

12 = (80n) /100 ;  Solve for "n:

Note:  80/100 = (80/10) / (100/10) = (8/10) = 0.8  ;

12 = (0.8)n  ;

↔ (0.8n) = 12

Multiply each side of the equation by "10" ; to get rid of the "decimal" ;

 10 * (0.8n) = 10 * 12 ;

to get:

_______________________________

8n = 120 ;

Divide each side of the equation by "8" ;

to isolate "n" on ONE SIDE of the equation; & to solve for "n" ;

8n/8 = 120/ 8 ;

_______________________________

to get:

_______________________________

n = 15 .

_______________________________

Answer:  " 15 % " .

_______________________________

     →   " 12 is <u>  15% </u> of 80 " .

_______________________________

Hope this helps!

Best wishes!

_______________________________

4 0
3 years ago
Interest earned: $84<br> Principal: 600<br> Interest rate: 7%<br> Time: ?
olga2289 [7]
If it simple interest it’s 2 years
6 0
3 years ago
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