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love history [14]
3 years ago
8

A candle is 10 in. tall after burning for 2 hours. After 3 hours, it is 8 1/2 in. tall. a. Write a linear equation to model the

height h of the candle after burning t hours. b. Predict how tall the candle will be after burning 6 hours.
Mathematics
1 answer:
GrogVix [38]3 years ago
3 0
The candle was 13 inches tall when it was first lit. It burns at a speed of 1.5 in. every hour. After burning for 6 hours it will be 4 inches tall.
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Solve by substitution 3x+y=3 and 7x+2y=1
balu736 [363]

3x + y = 3

7x + 2y = 1

First isolate one of the variables (x or y) in one of the equations.

Isolate "y" in the first equation(because it is the easiest to isolate) and substitute it into the second equation.

3x + y = 3      Subtract 3x on both sides

3x - 3x + y = 3 - 3x

y = 3 - 3x


7x + 2y = 1

7x + 2(3 - 3x) = 1     [since y = 3 - 3x, you can substitute (3-3x) for "y"]

Multiply/distribute 2 into (3 - 3x)

7x + (3(2) - 3x(2)) = 1

7x + 6 - 6x = 1

x + 6 = 1     Subtract 6 on both sides

x = -5


Now that you know "x", substitute it into one of the equations (I will do both)

3x + y = 3

3(-5) + y = 3       [since x = -5, you can plug in -5 for "x"]

-15 + y = 3    Add 15 on both sides

y = 18


7x + 2y = 1

7(-5) + 2y = 1

-35 + 2y = 1     Add 35 on both sides

2y = 36     Divide 2 on both sides

y = 18


x = -5, y = 18  or  (-5, 18)

5 0
3 years ago
Write the ratio in its simplest form using the colon. 24 blue cars out of 48 cars.
Tems11 [23]

Answer:

1:2

Step-by-step explanation:

24 : 48 simplified is 1 : 2

7 0
3 years ago
When you form general ideas and rules based on your experiences and observations, you call that form of reasoning
xz_007 [3.2K]

Answer:

yes you do

Step-by-step explanation:

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3 years ago
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