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Over [174]
3 years ago
14

What’s the answer to 7^3x=54

Mathematics
1 answer:
HACTEHA [7]3 years ago
5 0

Answer:

x = 54/343

Step-by-step explanation:

7^3x=54\\\rightarrow 7^3 = 343\rightarrow \text {Solve Exponents} \\343x=54\\\frac{343x}{343} =\frac{54}{343}\\x =\frac{54}{343}

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One number is 1/4 of another number. The sum of the two numbers is 5. Find the two numbers. Use a comma to separate your answer
masha68 [24]

Answer: 1, 4

Step-by-step explanation:

  • Number #1 = x
  • Number #2 = \frac{1}{4} x

\frac{1}{4} x+x=5\\\\\frac{1}{4} x+\frac{4}{4} x=5\\\\\frac{5}{4} x=5\\\\5x=4*5\\5x=20\\x=4

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6 0
3 years ago
Jane and sali cycled along the same 63 km route.
Alina [70]

Answer:

<em>Sali's speed was 18.75 km/h.</em>

Step-by-step explanation:

Jane took 3.5 hours to cycle the 63 km.

As,  Speed= \frac{Distance}{Time} , so the speed of Jane will be:  \frac{63}{3.5} km/h = 18 km/h

Suppose, the speed of Sali is  x km/h

Sali caught up with Jane when they had both cycled 30 km.

So, <u>the time required for Jane to cycle 30 km</u> = \frac{30}{18}=\frac{5}{3} hours and <u>the time required for Sali to cycle 30 km</u>  =\frac{30}{x} hours

Given that, Sali started to cycle 4 minutes or (\frac{4}{60}) or (\frac{1}{15}) hours after Jane started to cycle. So, the equation will be.......

\frac{5}{3}-\frac{30}{x}= \frac{1}{15}\\ \\ \frac{30}{x}= \frac{5}{3}-\frac{1}{15}\\ \\ \frac{30}{x}= \frac{24}{15}\\ \\ 24x=450\\ \\ x= \frac{450}{24}= 18.75

Thus, the speed of Sali was 18.75 km/h.

8 0
3 years ago
What expression is equivalent to <br> 14<br> −<br> 17<br> ?
DENIUS [597]

answer:

32

Step-by-step explanation:

4 0
4 years ago
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