Answer:
k = 
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y-intercept )
note the line crosses the y-axis at - 3 ⇒ c = - 3
y = 2x - 3 ← is the equation of the line
Since (k, 10) lies on the line then the coordinates of the point make the equation true.
substitute (k, 10) into the equation and solve for k
10 = 2k - 3 ( add 3 to both sides )
13 = 2k ( divide both sides by 2 ), hence
k =
It takes 5 shovels of sand to make 1 shovel of mortar so how many will it take to have 30 shovels of mortar? You can put this in a proportion.
5/1 = x/30
You don't need to worry about the cement since it's asking for sand.
Cross multiply and you get x·1 and 30·5. So this means you need 150 shovels of sand. x=150 when you multiply 30·5.
Yeah you did well on the table
Plate bowl total
.60 .75 1.35
8.4(14) 7.5(10) 15.9
7.8(13) 8.25(11) 16.05
9.6(16) 6(8) 15.6
9(15) 6.75(9) 15.75
13.8(23) .75 14.55
13.2(22) 1.5(2) 14.7
12.6(21) 2.25(3) 14.85
12(20) 3(4) 15
answer: 4
2(x + y) + 3(x + y)
first distribute:
(multiply 2 into everything in the first parenthesis, and 3 into everything in the second)
2x + 2y + 3x + 3y
Second simplify (add all like terms (adding in this case) )
(2x + 3x) + (2y +3y)
5x + 5y
your answer is: 5x + 5y
hope this helps
