Kerry has 5 metal and 3 wood
paperweights in her collection. She has
twice as many glass paperweights as
metal paperweights. Write an expression
to represent the total number of
paperweights in her collection. Then find
the total number of paperweights.

Expression

(5+3)+(5x2)=p

Solution

18

(Step-by-Step)

In this expression we simply have to use basic PEMDAS (Parenthesis Equation Multiplication Division Addition Subtraction) Order.

We start by working out the parenthesis

5 + 3  and 5 x 2

First let's work out our metal and wood paperweights

5+3=8

Simple enough, we have 8 metal AND wood paperweights

Now we have to work out our glass paperweights.

We have twice as many glass as we do metal PW's  meaning we need to multiply the 5 metal paperweights by 2

5x2=10

This simplifies and boils our equation down to

8+10

simply solve and add the two and you have your answer

18

according to this law, when unemployment goes up by 1%, gdp drops by 2%. in the question, unemployment rate goes from 2% to 5%, meaning unemployment goes up by 3%, so the gdp drops by 6%. thus the effect is a drop in gdp by 6%.

step-by-step explanation:

answer is 8x+24

area of vanessa's patio = length × width

given, length = (3x² + 5x + 10)

width = (x² - 3x - 1)

area of vanessa's patio = (3x² + 5x + 10)(x² - 3x - 1)

= 3x²(x² - 3x - 1) + 5x(x² - 3x - 1) + 10(x² - 3x - 1)

= 3x⁴ - 9x³ - 3x² + 5x³ - 15x² - 5x + 10x² - 30x - 10

= 3x⁴ - 4x³ - 8x² - 35x - 10

hence, expression of vanessa's patio = (3x⁴ - 4x³ - 8x² - 35x - 10)