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umka2103 [35]
4 years ago
6

Elio makes candles that are 14cm tall. Each candle burns 8 hours before going out. He is wondering how many hours a 21cm all can

dle can burn for. He assumes that the relationship between the height of a candle and number of hours it burns (h) is proportional. How long a 21 cm tall candle can burn for?
Mathematics
1 answer:
Tema [17]4 years ago
8 0

Answer: 12 hours

Step-by-step explanation: we know a 14cm candle takes 8 hrs until it burns out so a 7cm candle will take 4hrs since it’s cut in half. If we add 7cm more to the candle it’s 21cm which adds 4 more hours to the original 8 hours.

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Solve each quadratic equation by factoring and check
max2010maxim [7]

hello : <span>
<span>the discriminat of each quadratic equation : ax²+bx+c=0 ....(a ≠ 0) is :
Δ = b² -4ac
1 )  Δ > 0  the equation has two reals solutions : x1,2 =  (-b±√Δ)/2a</span></span>

factoring :

<span>ax²+bx+c = a(x-x1)(x-x2)
2 ) Δ = 0 : one solution : x1 = x2 = -b/2a</span>

factoring  : 

<span>ax²+bx+c = a(x-x1)²
3 ) Δ < 0 : no reals solutions... no </span>

<span>factoring </span>
5 0
3 years ago
Write an equation expressing the volume of the box made by paper x by 16 from which a square with side length 2 is cut from each
Furkat [3]

Answer: V = 24*(x - 4) with the condition x > 4.

Step-by-step explanation:

The volme of a cube/box is equal to:

V = W*L*H

where W = width, L = lenght and H = heigth.

First:

We know that the cubes cut in the corner have a side length of 2.

Then the remaining part is folded up, and this is now the height.

So the height of the box is equal to 2.

Now, we know that the initial measures of the piece of paper are x by 16

But now, in each extreme, we subtracted 2 units, that are now the new heiht, so now the piece of paper is (x -2 -2) by (16 -2 - 2)

or (x - 4) by 12.

Then the volume of the box is:

V = (x -4)*12*2 = 24*(x -4)

Notice something, if x is equal or smaller than 4, then we have a negative volume or a volume equal to zero. Those are problems in our model, so we should use the condition x > 4.

8 0
3 years ago
Find the value of f(3) for the function f(x)=-4(x+3) f(3)=
otez555 [7]

Answer:

  • -24

Step-by-step explanation:

<u>Given function</u>

  • f(x)= -4(x+3)

<u>To find</u>

  • f(3)=?

<u>Solution</u>

Substitute x with 3 in the equation to find f(3)

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7 0
4 years ago
Give that m/_ y=39, find the measures of angles a and b
Amanda [17]

Answer:

  ∠a = 39°

  ∠b = 129°

Step-by-step explanation:

Vertical angles are congruent. An exterior angle of a triangle is equal to the sum of the remote interior angles.

<h3>Application</h3>

Angle y and angle 'a' are vertical angles, so congruent.

  ∠a = ∠y = 39°

The angle marked 'b' is an exterior angle to the triangle. Its remote interior angles are 'a' and the one marked 90°.

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  ∠b = 129°

8 0
2 years ago
Read 2 more answers
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Lubov Fominskaja [6]

Answer:

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or

Since the exponent of the scientific notation is positive, move the decimal point  6  places to the right.

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Hope this helps :)

4 0
3 years ago
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