What we know: one part of candy costs $6 per kg
another part of candy costs $4.50 per kg
To get a 15kg candy, lets add 6 and 4.5
6+4.5=10.5
Add 4.5 to 10.5
4.5+10.5=15
So, We need 2 kg of the $4.50 candy, and 1 kg of the $6.00 candy.
Answer:
2.3h - 2.9d - 14
Step-by-step explanation:
6h - 3.7h - 7.9d + 5d - 14
= 2.3h - 2.9d - 14
The answer is x = 4, y = -1 or (4, -1).
We are given :
- <u>2x + 7y = 1</u>
- <u>3x + 4y = 8</u>
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Multiply the 1st equation with 3 and 2nd equation with 2.
<u>3. 3(2x + 7y) = 3(1) ⇒ 6x + 21y = 3</u>
<u>4. 2(3x + 4y) = 2(8) ⇒ 6x + 8y = 16</u>
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Now, subtract : Equation 3 - Equation 4.
- 6x + 21y - 6x - 8y = 3 - 16
- 13y = -13
- y = -1
Substitute in the 1st equation.
- 3x + 4(-1) = 8
- 3x - 4 = 8
- 3x = 12
- x = 4
Answer:
240 - 5x and the candle will be at 0 mm in 48 seconds
Step-by-step explanation:
<u>Step 1: Convert words into an expression</u>
A 240 mm candle is burning and shrinks in height 5mm per second
<em>240 - 5x</em>
<u>Step 2: If needed solve for x</u>
240 - 5x - 240 = 0 - 240
-5x / -5 = -240 / -5
<em>x = 48</em>
Answer: 240 - 5x and the candle will be at 0 mm in 48 seconds
Graph Below: (0, 240) shows the initial start and (48, 0) shows the ending point
