Answer:
b. (x-3) / (x+1)
c. x/(x+5)
Step-by-step explanation:
b. (x+2)(x-3) / (x+1)(x+2)
c. x(x - 5) / (x + 5 ( x - 5)
= x / x+5
Answer: 3.87132498658 in other words 3.871
Step-by-step explanation:
Answer:
Noah needs 8 pounds of the coffee that costs $9.20 per pound and 12 pounds of the coffee that costs $5.50 per pounds
Step-by-step explanation:
Let the number of pounds of the coffee that sells for 9.20 be x while the number of pounds of the coffee that sells for 5.5 be y.
From the question, we know he wants to make 20 pounds of coffee
Thus;
x + y = 20 •••••••••••(i)
Let’s now work with the values
For the $9.20 per pound coffee, the cost out of the total will be 9.20 * x = $9.20x
For the $5.5 per pound coffee, the cost out of the total be 5.5 * y = $5.5y
The total cost is 20 pounds at $6.98 per pound: that would be 20 * 6.98 = $139.6
Thus by adding the two costs together we have a total of $139.6
So we have our second equation;
9.2x + 5.5y = 139.6 •••••••(ii)
From i, y = 20 - x
Let’s substitute this in ii
9.2x + 5.5(20-x) = 139.6
9.2x + 110 -5.5x = 139.6
9.2x -5.5x = 139.6-110
3.7x = 29.6
x = 29.6/3.7
x = 8 pounds
Recall;
y = 20 - x
y = 20-8
y = 12 pounds
Answer:
24.7 feet
Step-by-step explanation:
This is a Pythagorean theorem question
The ladder is the hypotenuse or c
the distance from the wall is a leg or a
and the wall is the other leg or b
a² + b² = c²
a² + 17² = 30²
a² + 289 = 900
-289 -289
b² = 611
√ √
b = √611
b = 24.7 feet
The slope is 5.
And the y-intercept is 0.
Hope I helped! <3