Step-by-step explanation:
3c + 3s = 12.50
4c + 2s = 10.00
3S = 12.50-3c
s = 4.17 - c
4c + 2 (4.17-c) = 10.00
2c + 8.34 = 10.00
2c = 1.66
chips = 0.83
soda = 3.34
Answer:
(a) x = -2y
(c) 3x - 2y = 0
Step-by-step explanation:
You can tell if an equation is a direct variation equation if it can be written in the format y = kx.
Note that there is no addition and subtraction in this equation.
Let's put these equations in the form y = kx.
(a) x = -2y
- y = x/-2 → y = -1/2x
- This is equivalent to multiplying x by -1/2, so this is an example of direct variation.
(b) x + 2y = 12
- 2y = 12 - x
- y = 6 - 1/2x
- This is not in the form y = kx since we are adding 6 to -1/2x. Therefore, this is <u>NOT</u> an example of direct variation.
(c) 3x - 2y = 0
- -2y = -3x
- y = 3/2x
- This follows the format of y = kx, so it is an example of direct variation.
(d) 5x² + y = 0
- y = -5x²
- This is not in the form of y = kx, so it is <u>NOT</u> an example of direct variation.
(e) y = 0.3x + 1.6
- 1.6 is being added to 0.3x, so it is <u>NOT</u> an example of direct variation.
(f) y - 2 = x
- y = x + 2
- 2 is being added to x, so it is <u>NOT</u> an example of direct variation.
The following equations are examples of direct variation:
The absolute value - or distance from zero, is fairly simple to find. Make your final answer positive to find it.
Note that the scale factor of B to A is (4 / 8) = 1/2
So....the volume of B =
Volume of A * (scale factor)^3 =
2720 * (1/2)^3 =
2720 * 1/8 =
<span>340 cm^3</span>
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<span>Hope this helps :)</span>
Answer:
Option "D" is correct $3630
Step-by-step explanation:
At the beginning of the 7th year, the money has been in the account for 6 years.
The simple interest on $3000 at 3.5% for 6 years is I = prt:
(3000) = (.035) = (6) = 360
he amount in the account at the <u>beginning of the 7th year</u> is then the <u>original amount plus</u> the interest <u>$3630.</u>
