The answer is 0.155293 yards
6 + 2(x - 5) = -40 - 5(x - 3)
6 + 2x - 10 = -40 - 5x + 15
-4 + 2x = -25 - 5x
2x = -21 - 5x
7x = -21
x = -3
Answer:
x = 4 and x = 6
Step-by-step explanation:
There are two solutions to an absolute value equation.
If |x - 5| = 1, then
x - 5 = -1 and
x - 5 = +1.
1. Solve x - 5 = -1
Add 5 to each side.
x = 4
2. Solve x - 5 = 1
Add 5 to each side.
x = 6
The solutions are x = 4 and x = 6.
3. Number line
The number line would have markers at 4 and 6.
It should look like the image below.
Answer:
x2+y2−12x+4y−60=0
The center of the circle is point: C=(6,−2).
The radius of the circle is r=10.
Answer:
6 bags of cucumber
4 bags of spinach
Step-by-step explanation:
let s = number of bags of spinach
let c = number of bags of cucumber
If the owner washed 10 bags of vegetables in total, then
s + c = 10
The spinach came in 10kg bags and the cucumbers came in 9kg bags, and the owner washing 94kg of veg in total:
10s + 9c = 94
Rewrite s + c = 10 to make s the subject, substitute it into 10s + 9c = 94, then solve for c:
s + c = 10
⇒ s = 10 - c
⇒ 10(10 - c) + 9c = 94
⇒ 100 - 10c + 9c = 94
⇒ -c = -6
⇒ c = 6
Substitute c=6 into s + c = 10 and solve for s:
s + 6 = 10
⇒ s = 4
