Answer:
The first piece is 5 inches long, while the second is 15 inches and the third one is 20 inches.
Step-by-step explanation:
To determine the length of the 3 pieces, knowing that the total of the board is 40 inches, and that the second measures 3 times more than the first and the third measures 4 times more than the first, the following equation must be performed:
X + 3X + 4X = 40
8X = 40
X = 40/8
X = 5
Therefore, the first piece is 5 inches long, while the second is 15 inches and the third 20 inches.
Answer:
8n=20+6(n-2)
Step-by-step explanation:
n is the number of GB
Plan A has no initial fee and charges 8$ per each GB
So A has an equation that is y=0+8n or just y=8n.
Plan B has 20 for the first 2 GB and $6 for each addition GB after the first 2.
So B has an equation that is y=0+20+6(n-2) assuming n is 2 are greater.
So the two equations are y=8n and y=20+6(n-2).
We want Plan A to be the same as Plan B.
So we need to solve:
8n=20+6(n-2).
Let's check our equation:
Distribute:
8n=20+6n-12
Subtract 6n on both sides:
2n=20-12
2n=8
Divide both sides by 2:
n=4
Plan A charges 8 dollars ber GB, so plan A charges 4(8)=32 dollars.
Plan B charges 20 dollars for the first 2GB and 6 dollars for each GB after so we used 4 which means we are spending 20+6(2)=20+12=32 dollars.
They are the amount so n=4 is right.
Answer:
should be -1/14
Step-by-step explanation:
Answer & Step-by-step explanation:
So I can't exactly graph exactly, but I'll try...
To solve:
x+11<6 Subtract 11 on both sides.
x<-5
To graph:
<-------|---------o---------|-------->
-6 -5 -4
(The bolded part of the line is the side you shade the graph on. In case you can't see it, you have to shade the left side of the open circle.)
Hope this helps! Have an awesome day ( • ω • )^
Answer:
±2sqrt(10) = x
Step-by-step explanation:
40 - x^2 = 0
Add x^2 to each side
40 - x^2+x^2 = x^2
40 = x^2
Take the square root of each side
sqrt(40) = sqrt(x^2)
±sqrt(40) = x
±sqrt(4) sqrt(10) = x
±2sqrt(10) = x
