Grandma gertrude gave 13 pieces of jewelry and

grandma fien gave y pieces of jewelry to the carlson

sisters to divide evenly among themselves. there are 5

carlson sisters.

how many pieces of jewelry did each sister receive?

write your answer as an expression.

pieces of jewelry

Step-by-step explanation:

Grandma Gertrude gave pieces of jewelry = 13

Grandma Fien gave y pieces of jewelry

Total no. of jewelry = 13+y

There are 5  Carlson sisters. They are asked to divide evenly among themselves.

So,5 sisters will get jewelry = 13+y

So, 1 sister will get jewelry =

Hence each sister will receive

(13+y )/5

Step-by-step explanation:

Hi, to answer this question we have to write an expression.

First, the total pieces of jewelry given by Gertrude and Fien are:

Total: 13 + y

To divide among the sisters, we have to divide the total number of pieces of jewelry given by Gertrude and Fien (13+y) by the number of sisters (5)

(13+y )/5

Feel free to ask for more if needed or if you did not understand something.

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.

answer: city needs 2.4 inches of rainfall more to match the record of 40 inches.

step-by-step explanation:

since we have given that

total annual rainfall a city record = 40 inches

this year, total rainfall recorded = 37.6 inches

number of inches of rainfall   is needed to match the record of 40 inches is given by

hence, city needs 2.4 inches of rainfall more to match the record of 40 inches.