If you can manipulate the two equations so that they have exactly the same coefficients (e. g., 3x + 4y = 8 and 2x + 4y = 8), then you conclude that the two lines coincide (overlap), and that there are thus infinitely many solutions.
Answer:
15
Step-by-step explanation:
Find the greatest common factor of both numbers:
Factors for 150:
150: 1, 2, 5 , 6, 10, 15, 25, 30, 50, 75, 150
Factors for 270:
1, 2, 3, 5, 6 , 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
The largest number they both have in common is 30, so the largest tile could be 30 cm^2.
25 sheets of plywood will be needed
Each sheet of plywood measures .
We have to cover the surface of the house, minus the surface of the hole of the stairs.
To know how many sheets will be needed, we divide the surface to be covered by the surface of each sheet
As we can't buy 0,75 of a sheet, we round it up, i.e. we will need 25 sheets of plywood for subflooring.
Option A:
The probability that Everett and Finley end up with an even number and a blue disk is .
Solution:
Given data:
Everett is rolling a block with numbers = {1, 2, 3, 4, 5, 6}
Finley is drawing one disk from basket with colors = {blue, red, yellow}
Total number of numbers = 6
Total number of colors = 3
Divide numerator and denominator by the common factor 3.
Option A is the correct answer.
Hence the probability that Everett and Finley end up with an even number and a blue disk is .