Just solve x + 3y = 7 for x!
x + 3y + −3y = 7 + −3y > We have to add -3y to both sides.
x = −3y + 7
We need to substitute −3y + 7 for x in 2x + 6y = 9
2x + 6y = 9
2(−3y+7) + 6y = 9
14 = 9 > Now simplify both sides
14 + −14 = 9+ −14 > Add -14 to both sides now!
0 = −5
<span>So yes it is true that this has no solutions!
</span>
Answer:
x = 4
Step-by-step explanation:
Sum of angles (in degrees) in a triangle = 180
so
60 + 70 + 12x + 2 = 180
Add like terms
132 + 12x = 180
subtract 132 from both sides
12x = 48
divide both sides by 12
x = 4
Answer:
<h2> 7 months</h2>
Step-by-step explanation:
Step one:
given data
the cost of the laptop= $800
initial payment= $200
monthly payment = $60
let the number of months be x
the expression for the situation is the function for the equation of line
y=mx+c
Step two:
the expression for the situation is
800=200+60x
solve for x
800-200=60x
400=60x
divide both sides by 60
x=400/60
x=6.7
Approximately 7 months
Answer:
Option C ![=8.4672\times10^{13}](https://tex.z-dn.net/?f=%3D8.4672%5Ctimes10%5E%7B13%7D)
Step-by-step explanation:
Given : Astronomers measure large distances in light years. One light-year is the distance that light can travel in one year or approximately 5,880,000,000,000 miles.
Suppose a star is 14.4 light years from earth.
To find : How many miles away a star is from earth?
Solution :
In 1 light-year the distance a light can travel is = 5,880,000,000,000 miles.
or =
miles
In 14.4 lights year the distance is ![=14.4\times (5.88\times10^{12})](https://tex.z-dn.net/?f=%3D14.4%5Ctimes%20%285.88%5Ctimes10%5E%7B12%7D%29)
![=84.672\times10^{12}](https://tex.z-dn.net/?f=%3D84.672%5Ctimes10%5E%7B12%7D)
or ![=8.4672\times10^{13}](https://tex.z-dn.net/?f=%3D8.4672%5Ctimes10%5E%7B13%7D)
Therefore, Option C is correct - ![=8.4672\times10^{13}](https://tex.z-dn.net/?f=%3D8.4672%5Ctimes10%5E%7B13%7D)
To find the price of the treadmill, you can calculate the amount you will pay after each day and then multiply by the percentage that you will pay for each additional day.
You should use 85% (100% - 15%) as the part you will pay for a quicker calculation.
$4000 x 0.85 = $3400 (after the first day)
$3400 x 0.85 = $2890 (after the second day)
$2890 x 0.85 = $2456.50 (after third day)
<span>If the price of the treadmill yesterday was $4000, what will be the price of the treadmill 2 days from now? I interpreted this as the discount would be applied for 3 days.</span>