Lisa goes to the mall one day and buys four shirts and three pairs of pants for $85.50. she returns the next day and buys three shirts and five pairs of pants for $115.00. what is the price of each shirt and each pair of pants?

the price for one shirt is $7.5

the price for one pair of pants is $18.5

Step-by-step explanation:

Let x represent the price for one shirt.

Let y represent the price for one pair of pants.

Lisa goes to the mall one day and buys four shirts and three pairs of pants for $85.50. This means that

4x + 3y = 85.5 - - - - - - - - - -1

She returns the next day and buys three shirts and five pairs of pants for $115.00. This means that

3x + 5y = 115 - - - - - - - - - - - 2

Multiplying equation 1 by b3 and equation 2 by 4, it becomes

12x + 9y = 256.5

12x + 20y = 460

Subtracting, it becomes

- 11y = - 203.5

y = - 203.5/ -11 = 18.5

Substituting y = 18.5 into equation 1, it becomes

4x + 3×18.5 = 85.5

4x + 55.5 = 85.5

4x = 85.5 - 55.5 = 30

x = 30/4 = 7.5

Shirts cost $7.50 each and pants cost $18.50 each.

Step-by-step explanation:

Let $s be the price of shirts and $p the price of pants. Therefore we have the system:

4s + 3p = 85.50

3s + 5p = 115.00

Multiply the first equation by - 3 and the second by 4:

-12s - 9p   = - 256.50

12s + 20p =  460.00       Adding these 2 equations:

11p = 203.50

p = 18.50

Now find  s:

4s + 3(18.50) = 85.50

4s = 30

s = 7.50.

answer is the third choice:

3x^5+4x^4+x^3+2x^2-10x-7=0

step-by-step explanation:

the largest number of the four options is 1.8 x 10-2

you have it in scientific notation.

1.80 x 10-6   = 0.00000180

1.80 x 10-4   = 0.000180 (bigger, or "less small", than the former one)

so

1.8 x 10-2       = 0.0180. as you see. the "less small", or the biggest one of them all.

as you have negative exponent, it means you are dividing 1.8 by 100 (i.e. moving the dot towards left, two times).

if you had positive exponent for the scientific notation, power of tenths, you would be multiplying times 100 (moving the dot towards right) as below:

1.8 x (10)2 = 180

so. if you have negative exponent in scientific notation, move the dot toward left. if it is positive, toward right as many times the exponent tells you.