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Gwar [14]
3 years ago
8

A 12 inch candle and an 18 inch Candle are lit at 6 p.m. The 12 inch candle burns 0.5 inches every hour. The 18 inch candle burn

s 2 inches every hour. At what time will the two candles be the same height? Let H represent the number of hours.
PLEASE HELP ME AND SHOW ME HOW I AM SPOUSED TO FIGURE IT OUT??
Mathematics
1 answer:
Stella [2.4K]3 years ago
7 0
18 - 2H = 12 - .5H
Combine the variables
18 - 2H + .5H = 12 - .5H + .5H
18 - 1.5H = 12
Combine the whole numbers
18 - 18 - 1.5H = 12 - 18
-1.5H = -6
Divide by -1.5
-1.5H/-1.5 = -6 / -1.5
H = 4
The answer is 4 hours
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Explain how you can use the distributive property to check the binomial factors when a trinomial has been factored. Include an e
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f(x)=x2−2x+3x−6
which simplifies to
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Find S11 for 1 + 2 + 4 + 8 +
Free_Kalibri [48]
Evaluating the given sequence, it is evident that the next number is twice the number prior to it. Thus, the given is a geometric sequence with first term (a1) equal to 1 and common ratio of 2. The geometric series may be calculated by the equation,
 
                                            Sn = a1 x (1 - r^n) / (1 - r)

where Sn is the sum of n terms in this case, n = 11. 
Substituting the known values, 
 
<span>                                      Sn = 1 x (1 - 2^11) / (1 - 2) = 2047
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Thus, S11 is 2047. 
4 0
3 years ago
Select the correct answer from the drop-down menu.
Contact [7]

Answer:

The correct option is C.

C) -x + 2

Step-by-step explanation:

In mathematics, the term which is being divided is called a dividend. The term by which the dividend is getting divided is called a divisor. The quotient is the term we get after dividing the dividend by a divisor.

Here in this case, the dividend is written.

-x²    x    x

which in the equation form is written as

-x² + x + x

add the x terms to simplify

-x² + 2x

The divisor is given as x, divide the equation by x:

(-x² + 2x)/x

(-x²/x) + (2x/x)

-x+2

Which is the quotient.

4 0
3 years ago
One and Two step equations Escape Room.: The teeth on this key are busted. Now they must be readjusted. Find the code.
SSSSS [86.1K]

The code for Escape Room is MCYHW.

<h3>Inequalities</h3>

Inequalities is a mathematic expression that do not present equalitiy between both sides. It is represented by symbols: <, ≤, > and ≥.

For solving this exercise, firstly, you should solve the inequalities identified by letters: H, W, M, Y and C. After that, you should relate yours anwers with the options given for the exercise.

  • Inequality H

                       -11x-4 > -15\\ \\ -11x > -15+4\\ \\ -11x > -11\; *(-1)\\ \\ 11x < 11\\ \\ x < 1

Therefore, you should connect H with x<1.

  • Inequality W

                       32 > -16x\\ \\ Rewriting \\ \\ -16x < 32 \\ \\ -16x < 32\; *(-1)\\ \\ 16x > -32\\ \\ x > \frac{-32}{16} \\ \\ x > -2

Therefore, you should connect W with x>-2.

  • Inequality M

                       3+x\leq -9\\ \\ x\leq -9-3\\ \\ x\leq -12

Therefore, you should connect M with x≤-12.

  • Inequality Y

                       -7x+7\leq -56\\ \\-7x\leq -56-7\\ \\ -7x\leq -63\\ \\  -7x\leq -63\; *(-1)\\ \\ 7x\geq  63\\ \\ x\geq \frac{63}{7} \\ \\ x\geq 9

Therefore, you should connect Y with x≥9.

  • Inequality C

                       -20\geq -5x+15\\ \\Rewriting\\ \\ 5x+15\leq -20\\ \\ -5x\leq -20-15\\ \\ -5x\leq -35\\ \\-5x\leq -35\; *(-1)\\ \\ 5x\geq 35\\ \\ x\geq \frac{35}{5}  \\ \\ x\geq 7

Therefore, you should connect C with x≥7.

Thus, the sequence is:

M - x\leq -12

C - x\geq 7

Y- x\geq 9

H- x < 1

W- x > -2

Read more about inequalities here.

brainly.com/question/25275758

4 0
2 years ago
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