Let's solve your equation step-by-step.
4(2x+8)=10x+2−2x+30
Step 1: Simplify both sides of the equation.
4(2x+8)=10x+2−2x+30
(4)(2x)+(4)(8)=10x+2+−2x+30(Distribute)
8x+32=10x+2+−2x+30
8x+32=(10x+−2x)+(2+30)(Combine Like Terms)
8x+32=8x+32
8x+32=8x+32
Step 2: Subtract 8x from both sides.
8x+32−8x=8x+32−8x
32=32
Step 3: Subtract 32 from both sides.
32−32=32−32
0=0
Answer:
All real numbers are solutions.
Answer:
14 pints of 20% juice
56 pints of 95% juice
Step-by-step explanation:
Let
x be pints of 20% pure fruit juice, thus
70 - x will be pints of 95% pure fruit juice
The equation, thus can be written as:
20%x + 95% (70-x) = 80% (70)
Solving for x:

And 70 - x would be 70 - 14 = 56
Thus,
14 pints of 20% juice is needed, and
56 pints of 95% juice is needed
Answer:
The other endpoint is (-33, 17)
Step-by-step explanation:
The rule of the mid-point of a segment whose endpoints are
(
,
) and (
,
) is
In our question
∵ The coordinates of the endpoints of a segment are (-15, 13) and (x, y)
∴
= -15 and
= x
∴
= 13 and
= y
∵ The coordinates of the mid-point of this segment are (-24, 15)
∴
= -24 and
= 15
→ Use the rule of the mid-point to find x and y
∵ 
→ Multiply both sides by 2
∴ -48 = -15 + x
→ Add 15 to both sides
∴ -33 = x
∵ 
→ Multiply both sides by 2
∴ 30 = 13 + y
→ Subtract 13 from both sides
∴ 17 = y
∴ The other endpoint is (-33, 17)
Answer:
I'm pretty sure it's x = 12, -3
Step-by-step explanation:
Answer:
$598
Step-by-step explanation:
2 x 299 = 598 so Apple is charging $598 for the new phone.