Answer:
D
Step-by-step explanation:
-1.5(-6m+8n) = 9m-12n
3(3m -4n) = 9m - 12n
9m -12n = 9m -12n
-6(-1.5m +2n) = 9m - 12n
-2(-4.5m+ 4n) = 9m - 8n
Answer:
x-41
Step-by-step explanation:
use the foil method
Let x be the 1st number
x + 9 be the second number
Equation:
x + x+9 = 171
Solution:
2x + 9 = 171
2x = 171 - 9
2x = 162
x = 81
x + 9 = 90
81 + 90 = 171
Answer:
x = 9
y = 9√3 = 15.6
Step-by-step explanation:
The triangle given is a right triangle, therefore:
✔️apply trigonometric ratio formula to find x:
Reference angle = 60°
Hypotenuse = 18
Adjacent = x
Thus:
Cos (60) = x/18
Multiply both sides by 18
18×cos(60) = x
9 = x
x = 9
✔️find y by applying pythagorean theorem:
y² = 18² - x² (pythagorean theorem)
y² = 18² - 9² (substitution)
y² = 243
y = √243
y = √(81*3)
y = 9√3 = 15.6
<span>75 pages.
OK. Lots of copying errors here. I'll be using 275 page book, reading 10 pages per 15 minutes, skimming 15 pages per 10 minutes, 5 hours and 50 minutes to complete the book.
To make things easier, first convert the time to just minutes. So
5 * 60 + 50 = 300 + 50 = 350 minutes.
Now let's use the variable X for the number of minutes spent skimming and (350-X) for the number of minutes spent reading.
X * 15/10 + (350 - X)*10/15 = 275
Solve for X.
X * 15/10 + (350 - X)*10/15 = 275
X * 15/10 + 350*10/15 - X*10/15 = 275
X * 15/10 - X*10/15 = 275 - 350*10/15
X(15/10 - 10/15) = 275 - 3500/15
X(45/30 - 20/30) = 825/3 - 700/3
X(25/30) = 125/3
X = 125/3 * 30/25 = 125/1 * 10/25 = 5/1 * 10/1 = 50/1 = 50
So Jayden spent 50 minutes skimming. And at the rate of 15 pages every 10 minutes, he skimmed 50*15/10 = 750/10 = 75 pages.</span>
