The first step in solving this question is to split the journey into 2 parts. In the first part of the journey,
miles are covered at a speed of 40 mph. In the second part the journey 5 miles are covered at a speed of 60 mph.
The equation to compute the time of a journey given the speed and distance is
where
is the time,
is the speed and
is the distance.
The time for the first part of the journey is calculated as shown below,
.
The time for the second part of the journey is calculated as follows,
.
The total time is the sum of the times taken to cover each part of the journey and is calculated as shown below,
![t=\frac{10}{40} h+\frac{5}{60} =\frac{30+10}{120} h=\frac{40}{120}h =\frac{1}{3} h](https://tex.z-dn.net/?f=t%3D%5Cfrac%7B10%7D%7B40%7D%20h%2B%5Cfrac%7B5%7D%7B60%7D%20%3D%5Cfrac%7B30%2B10%7D%7B120%7D%20h%3D%5Cfrac%7B40%7D%7B120%7Dh%20%3D%5Cfrac%7B1%7D%7B3%7D%20h)
The time to cover the journey is a third of an hour or 20 minutes.
Answer: "12" .__________________________________ " x = 12 " .__________________________________
Explanation:
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The TWO (2) angles:
Angle 1) "(10x − 20)° " ; AND:
Angle 2) " (6x + 8)° " ;
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form a "straight line" ; so by definition; ∡1 and ∡2 are supplementary angles; and as such, m∡1 and m∡2 add up to 180°.
We are asked to solve for "x" .
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10x − 20 + 6x + 8 = 180 ;
Combine the "like terms" on the "left-hand side" of the equation:
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10x + 6x = 16x ;
- 20 + 8 = -12 ;
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Rewrite the equation:
16x − 12 = 180 ;
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Add "12" to both sides of the equation;
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16x − 12 + 12 = 180 + 12 ;
to get:
16x = 192 ;
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Divide EACH SIDE of the equation by "16" ; to isolate "x" on one side of the equation; and to solve for "x" ;
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16x / 16 = 192 ;
x = 12 .
<span>__________________________________________
</span>Let us check our answer, by plugging in "12" for "x" in the original equation:
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→ 10x − 20 + 6x + 8 =? 180 ? ;
→ 10(12) − 20 + 6(12) + 8 =? 180 ? ;
→ 120 − 20 + 72 + 8 = ? 180 ?
→ 120 − 20 = 100 ; 100 + 72 = 172; 172 + 80 =? 180 ? Yes!
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Answer:
the answer is 5
Step-by-step explanation:
5.3x5=26.5
Answer:
36 degrees
Step-by-step explanation:
A+B=90
A-B=18
add these two equations:
2A = 108
A=54
B=36
Answer:
300 I think
Step-by-step explanation:
V=1/3 Bh
B=10*9=90
90*10=900 1/3 of 900= 300