Answer:
12.5 in²
Step-by-step explanation:
Given:
Height of tile = 2.5 in
Base of tile = 2*height of tile = 2*2.5 = 5 in
Length of other side of tile = 2.5 in
Required:
Area of the tile
SOLUTION:
Area of the tile = area of parallelogram
All we need to calculate the area of the tile, is the base and the height.
Area of parallelogram = base × height
Area of tile = 5 × 2.5 = 12.5 in²
Answer:
1. 
2. 
3. 
Step-by-step explanation:
<h3> The complete exercise is: "Brown rice costs $2 per pound, and beans cost $1.60 per pound. Lin has $10 to spend on these items to make a large meal of beans and rice for a potluck dinner. Let b be the number of pounds of beans Lin buys and r be the number of pounds of rice she buys when she spends all her money on this meal.</h3><h3>1. Write an equation relating the two variables.</h3><h3>2. Rearrange the equation so "b" is the independent variable.</h3><h3>3. Rearrange the equation so "r" is the independent variable."</h3><h3 />
1. According to the information exercise given in the exercise, the cost per pounds of brown rice is $2. Since "r" represents the number of pounds of rice Lin buys, the total cost of the brown rice she buys can be represented with this expression:

The beans cost $1.60 per pound. Since "b" represents the number of pounds of beans Lin buys, the total cost of beans she buys can be represented as:

Knowing that she spends $10, you can write the following equation:

2. In order to rearrange the equation so "b" is the independent variable, you need to solve for "r":

3. To rearrange the equation so "r" is the independent variable, you must solve for "b". You get:

Answer:
i) 66
ii) 536
Step-by-step explanation:
Check attachement(s) for solution.
- Attachment - 1: Solution (i)
- Attachment - 2: Solution (ii)
Answer:
Option D
Step-by-step explanation:
The compounded interes formula states that:
V(t) = P (1 + r/n)^ (nt)
t = years since initial deposit = 3
n = number of times compounded per year 1
r = annual interest rate (as a decimal) = 4% / 100 = 0.04
P = initial (principal) investment = $500
Then V(t) = $500 ( 1 + 0.04/1)^3 = 562,43
So the correct answer is option D.
3x^2 + 6x - 2 = 0
discriminant = b^2 - 4ac; where a = 3, b = 6 and c = -2
d = 6^2 - 4(3)(-2)
d = 36 + 24
d = 60