Mike and Danielle each improve their yards by planting hospice and shrubs. They bought their supplies from the same store. Mike spent $71 on for hospice and seven Travis. Danielle spent $53 on 13 hospice and three shrubs. Find the cost of one hospice and the cost of one shrub

each hospice costs $4 and each shrub costs $9

Step-by-step explanation:

Let x represent the cost of one hospice.

Let y represent the cost of one shrub.

Mike spent $71 on four hospice and seven Travis. This means that

4x + 7y = 71- - - - - - - - - - - - -1

Danielle spent $53 on 13 hospice and three shrubs. This means that

13x + 3y = 53- - - - - - - - - - - 2

Multiplying equation 1 by 13 and equation 2 by 4, it becomes

52x + 91y = 923

52x + 12y = 212

Subtracting, it becomes

79y = 711

y = 711/79

y = 9

Substituting y = 9 into equation 1, it becomes

4x + 7 × 9 = 71

4x + 63 = 71

4x = 71 - 63

4x = 8

x = 8/4 = 2

use the power rule  

( a b ) n = a n b n

to distribute the exponent.

apply the product rule to  

3 x 2 y 3 . ( 3 x 2 ) 2 ( y 3 ) 2

apply the product rule to  

3 x 2 . 3 2 ( x 2 ) 2 ( y 3 ) 2

raise  

3

to the power of  

2 . 9 ( x 2 ) 2 ( y 3 ) 2 multiply the exponents in   ( x 2 ) 2

.

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 2 ⋅ 2 ( y 3 ) 2

multiply  

2   by   2 . 9 x 4 ( y 3 ) 2

multiply the exponents in  

( y 3 ) 2 .

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 4 y 3

⋅

2

multiply  

3   by   2 . 9 x 4 y 6

step-by-step explanation:

answer: 1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

step-by-step explanation: