#9. Find the slope of the line in the graph.

A student attempted to generate an equivalent expression using the distributive property, as shown below:

ra1l [238]

In the equation 2(x+5) = 2x +5
You need to use distributive property so your answer would be 2x + 10.
So the mistake that was made is...

B: 2 was not multiplied by 5

3 0

3 years ago

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The sandbox is in the shape of a right rectangular prism. The area of the base of the sandbox is 124.8 square centimeters, and i

Genrish500 [490]

Answer: he will need 355.68 centimeters³ of sand to fill half of the sandbox

Step-by-step explanation:

The formula for determining the volume of a rectangular prism is expressed as

Volume = length × base × height

It can also be expressed as

Volume = base area × height

The area of the base of the sandbox is 124.8 square centimeters, and it will have a height of 5.7 centimeters. This means that the volume of the sandbox is

124.8 × 5.7 = 711.36 centimeters³

Since Mr. Berger plans to fill the sandbox half full of sand, the volume of sand he will need to fill half of the sandbox is

711.36/2 = 355.68 centimeters³

5 0

3 years ago

Using the midpoint method (show your work), calculate the price elasticity of demand when the price of a barrel of gosum berries

Setler79 [48]

Answer:

0.18

Step-by-step explanation:

Given that:

P₁ = $10, P₂ = $20

From the tables Q₁ = 900, Q₂ = 800

Using midpoint method:

Percentage change in quantity = $\frac{Q_2-Q_1}{(Q_1+Q_2)/2} *100\%=\frac{800-900}{(900+800)/2}*100\%= -11.76\%\\$

Percentage change in price =

$\frac{P_2-P_1}{(P_1+P_2)/2} *100\%=\frac{20-10}{(20+10)/2}*100\%= 66.67\%\\$

Price of elastic demand = Percentage change in quantity/ Percentage change in price = -11.76% / 66.67% = 0.18

The Price of elastic demand is positive because we took the absolute value and elasticity are always positive

Therefore since Price of elastic demand < 1, the demand is inelastic in this interval.

This means that, along the demand curve between $10 to $20, if the price changes by 1%, the quantity demanded will change by 0.18%. A change in the price will result in a smaller percentage change in the quantity demanded. For example, a 10% increase in the price will result in only a 1.8% decrease in quantity demanded and a 10% decrease in the price will result in only a 1.8% increase in the quantity demanded