The total price including 7 percent tax on a $9.79 purchase is $10.67
A percentage is a number that tells us how much out of 100 and can also be written as a decimal or a fraction.
Given that, there is a 7 percent tax on a $9.79 purchase
Therefore, total price =
7% of 9.79 + 9.79
= 0.8811 + 9.79
= 10.67
Hence, the total price including 7 percent tax on a $9.79 purchase is $10.67
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The given bamboo can grow 0.6 feet in five days.
You can use the provided rate to calculate how many feet the bamboo plant could grow in 0.5 days. You can set up a proportion to determine the growth in 0.5 days if the plant grows 1.2 feet in one day.
So we can have 1.2 * 0.5 = x to represent the growth in 0.5 days.
x = 1.2 * 0.5
x = 6.0
As a result, at the specified rate, the bamboo plant might grow 0.6 feet in 0.5 days.
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4x + 6y = 0
Answer:
The answer to your question is: (1/2, -1/3)
Step-by-step explanation:
Elimination
10x - 15y = 10 (I)
4x + 6y = 0 (II)
Multiply (I) by 2 and (II) by -5
20x - 30y = 20
-20x - 30y = 0
Add both equations
0 - 60y = 20
y = -20/60
y = - 1/3
Substitute y in (II)
4x + 6(-1/3) = 0
4x - 2 = 0
4x = 2
x = 2/4
x = 1/2
4(1/2) + 6(-1/3) = 0
4/2 - 6/3 = 0
2 - 2 = 0
0 = 0
Answer:
(1/2, -1/3)
Step-by-step explanation:
To solve using elimination, you have to make one of the variables from both equations additive inverses. Let's make the x-variables additive inverses.
First, we multiply the first equation by -2.
-2(10x - 15y) = -2(10)
-20x + 30y = -20
Now, we muliply the second equation by 5.
5(4x + 6y) = 0
20x + 30y = 0
If you look at the x-variables, now they are additive inverses. Now we add the two equations together.
-20x + 30y = -20
20x + 30y = 0
60y = -20
/60 /60
y = -1/3
Now you plug in the known y-value into any of the first equations. Let's use 4x + 6y = 0
4x + 6(-1/3) = 0
4x - 2 = 0
+2 +2
4x = 2
/4 /4
x = 1/2
The solution to this system of equations is (1/2, -1/3). You can change to decimal form if you want. To check your work, you plug in the x and y-values into the two equations in the question.
10x - 15y = 10
10(1/2) - 15(-1/3) = 10
5 + 5 = 10
10 = 10
So, the solution is true for this equation. Let's check the second one.
4x + 6y = 0
4(1/2) + 6(-1/3) = 0
2 - 2 = 0
0 = 0
Yes! When you plug the solution into the equations, they are true! So, your solution is (1/2, -1/3).