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3 years ago

PLZ HELP #2 PIC included

Mathematics

1 answer:

alexira [117]3 years ago

3 0

Answer:

They will meet at 6 p.m.

Step-by-step explanation:

Let after h hours after the truck left the station the car and the truck meet with each other.

So, the distance traveled by truck in h hours = distance traveled by car in (h - 2) hours.

If the speed of the truck is 45 km/h and the speed of the car is 54 km/h,

Then, 45h = 54(h - 2)

⇒ 9h = 54 × 2

⇒ h = 12 hours.

Therefore, they will meet at 6 p.m. (Answer)

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Solve for x given that <br><img src="https://tex.z-dn.net/?f=%20%7B64%7D%5E%7B2x%20-%201%7D%20%3D%20%20%7B32%7D%5E%7Bx%20%2B%201

marissa [1.9K]

Answer:

x = $\frac{11}{7}$

Step-by-step explanation:

note that 64 = $2^{6}$ and 32 = $2^{5}$ , thus

$(2^{6}) ^{2x-1}$ = $(2^{5}) ^{x+1}$ , that is

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$2^{12x-6}$ = $2^{5x+5}$

Since the bases on both sides are equal, then equate the exponents

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Answer:

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