1. emilo spent 1.45 on 8 apples. what was the cost of one apple? round to the nearest cent if necessary.
2. 70 is what percent of 120? round to the nearest hundredth if necessary.
3. ryan and his family ordered $45.50 worth of food at a restaurant. they left a 20% tip. how much was the tip?
4. convert 4.6 meters to centimeters. round to the nearest hundredth if necessary.

1. 18 cent per apple

2. 84

3.$9.10

4. 460 meters

Step-by-step explanation:

1. divide 1.45 by 8 to get price per apple

1.45/8=0.18

2. convert 70% into a decimal

70%=.70

multiply by amount

120(.70)=84

3. convert 20% into a decimal

20%=.20

multiply by amount

45.50(.20)=9.10

4. 1 meter = 100 cm therefore 4.6 meters = 460 cm

step-by-step explanation:

equation

you are asked to write the equation

  expression = 0

using the given expression. when you do that, you have

  2x^2-2x-12 = 0

factoring

you can see that each of the coefficients is even, so a factor of 2 can be removed immediately.

  2(x^2 -x -6) = 0

if you multiply the binomials (x+a)(x+b), you get

  (x +a)(x +b) = x^2 +(a+b)x +ab

this tells you the coefficient of x is the sum of two factors of the constant term. here, that means -1 is the sum of two factors of -6. we want to know those factors so we can factor the trinomial.

  -6 = -1×6 = -2×3 = -3×2 = -6×1

the factor pair that sums to -1 is {-3, 2}, so our factorization is

  2(x -3)(x +2) = 0

solutions

the solutions to this equation are the values of x that make the product zero. a product is zero only when only of the factors of the product is zero. here, that means

  x - 3 = 0

  x = 3 . . . add 3 to both sides of the equation

or

  x +2 = 0

  x = -2 . . . add -2 to both sides of the equation

the solutions to the equation are x=3 or x=-2. both of these values of x satisfy the equation—they make it be true.

the answer is a

step-by-step explanation: