4x + 4 = 9x - 36
+36 +36
______________
4x + 40 = 9x
-4x -4x
___________
40 = 5x
--- ----
5 5
________
8 = x
x = 8
Answer:
54 minutes
Step-by-step explanation:
45 minutes per 2.5 miles
45/2.5 = 18 minutes per mile
3 miles* 18 minutes= 54 miles
Answer:
18 hours
Step-by-step explanation:
The answer is 18 hours. We know 8 is a factor of 48, so we do 3/8 times 6/6 and get 18/48. So there is 18 1/48 in that fraction, so it will take them 18 hrs.
Answer:
<h2><em><u>B.No</u></em></h2>
Step-by-step explanation:
<em>Because</em><em>, </em>
<em><u>According to </u></em><em><u>Triangle</u></em><em><u> </u></em><em><u>Inequality</u></em><em><u> </u></em><em><u>Property</u></em><em><u>:</u></em>
<em><u>Measurement</u></em><em><u> </u></em><em><u>of</u></em><em><u> </u></em><em><u>any</u></em><em><u> </u></em><em><u>two</u></em><em><u> </u></em><em><u>sides</u></em><em><u> </u></em><em><u>of</u></em><em><u> </u></em><em><u>a</u></em><em><u> </u></em><em><u>triangle</u></em><em><u> </u></em><em><u>is</u></em><em><u> </u></em><em><u>always</u></em><em><u> </u></em><em><u>greater</u></em><em><u> </u></em><em><u>than</u></em><em><u> </u></em><em><u>the</u></em><em><u> </u></em><em><u>third</u></em><em><u> </u></em><em><u>side</u></em><em><u>. </u></em>
<em>But</em><em> </em><em>here</em><em>,</em>
<em><u>(</u></em><em><u>3</u></em><em><u>.</u></em><em><u>4</u></em><em><u> </u></em><em><u>+</u></em><em><u> </u></em><em><u>6</u></em><em><u>.</u></em><em><u>6</u></em><em><u> </u></em><em><u>)</u></em><em><u> </u></em><em><u>i.e</u></em><em><u>.</u></em><em><u> </u></em><em><u>10</u></em><em><u> </u></em><em><u>=</u></em><em><u> </u></em><em><u>10</u></em>
<em><u>Hence</u></em><em><u>,</u></em>
<em><u>These</u></em><em><u> </u></em><em><u>side</u></em><em><u> </u></em><em><u>lengths</u></em><em><u> </u></em><em><u>can't</u></em><em><u> </u></em><em><u>form</u></em><em><u> </u></em><em><u>a</u></em><em><u> </u></em><em><u>triangle</u></em><em><u>. </u></em>
Answer:
Both candles will have the same height after 4 hours.
Step-by-step explanation:
The equation for the amount of candle remaining can be given by the following equations:

In which Q(t) is the amount after t hours, Q(0) is the initial amount and a is how much it decreases, in inches, per hour.
Red candle:
8 inches tall and burns at a rate of 7 divided by 10 inch per hour. This means that
. So

Blue candle:
6 inches tall and burns at a rate of 1 divided by 5 inch per hour. This means that
. So

After how many hours will both candles be the same height ?
This is t when


![0.2t - 0.7t = 6 - 8[/yrc][tex]-0.5t = -2](https://tex.z-dn.net/?f=0.2t%20-%200.7t%20%3D%206%20-%208%5B%2Fyrc%5D%3C%2Fp%3E%3Cp%3E%5Btex%5D-0.5t%20%3D%20-2)
Multiplying by (-1)



Both candles will have the same height after 4 hours.