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faltersainse [42]
2 years ago
9

Please help me solve this

Mathematics
1 answer:
Nataly_w [17]2 years ago
8 0

Answer:

x = 24

Step-by-step explanation:

using the rule of exponents

a^{m} × a^{n} = a^{(m +n)}

consider left side

5^{\frac{x}{6} } × 5^{\frac{x}{2} }

= 5^{\frac{x}{6} } × 5^{\frac{3x}{6} }

= 5^{\frac{4x}{6} }

then

5^{\frac{4x}{6} } = 5^{16}

since the bases on both sides are equal, both 5 then equate exponents

\frac{4x}{6} = 16 ( multiply both sides by 6 )

4x = 96 ( divide both sides by 4 )

x = 24

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Justin wants to fence in his yard for his dog. He lives on a rectangular lot 48 feet long and 62 feet wide. How much fencing doe
Alenkasestr [34]
48 X  2 = 96
62 X 2 = 124
124+96 = 220
You could also do it this way:
P = 2(W + L) 
<span>P = 2(48 + 62) </span>
<span>P = 2(110) </span>
<span>P = 220 feet </span>
7 0
3 years ago
What is the date today if April 29 was nine days before two days after three days preceding the day before five days following t
Dmitriy789 [7]

Answer:

It would be the 24th I believe

5 0
2 years ago
Read 2 more answers
Jeremy swims 5 3··5 kilometers in a 7-day period. He swims the same distance each day. What distance does he swim in a day?
jeka94

Answer:

Jeremy swims 4/5 of a kilometer each day.

Step-by-step explanation:

Since 5 3/5 can be turned into 28/5, then divided by 7/1, you will get 4/5. So Jeremy swims 4/5 of a kilometer each day.

Eli got his answer by multipying 5 3/5 by 7 which was an incorrect process.

7 0
2 years ago
Louie Foster invested $4,500 at 3% interest compounded semiannually for 2 years
viktelen [127]

Answer:

\huge\boxed{5064.79 (2d.p)}

Useful Information:

The formula for compound interest is: \sf{amount*decimal^{{No. calculations}}

Step-by-step explanation:

This is an example of compound percentage increase.


To work this out, you would first have to convert the percentage into a decimal. You can do this by dividing the percentage of 3% by 100, this gives you 0.03. This is because percentages are out of 100 and so dividing the value by 100 gives you the percentage as a part of 1.

The next step is to add 1 to 0.03, this gives you 1.03. This is because you are working out the percentage increase.

The penultimate step is to work out the number of times that the new amount would need to be calculated. This can be done by multiplying 2 by 2, which gives you 4. This is because it will be compounded semiannually, which is twice a year.

The fnal step is to work out the total amount you would need to multiply the amount of 4,500 by 1.03 to the power of 4, this gives you 5064.79 (2 D.P). This is because you are working out 3% of the amount, and then adding it to the new amount and then finding 3% of that amount, and so on.

1) Divide 3% by 100.

\frac{3}{100}=0.03

2) Add 1 to 0.03.

1+0.03=1.03

3) Multiply 2 by 2.

2*2=4

4) Multiplly 4500 by 1.03 to the power of 4.

4500*1.03^{4}=5064.79 (2 d.p)

8 0
1 year ago
Explain how to find the value of x. Be sure to include the postulates, definitions and theorems that justify your answer.
34kurt

Answer:

It's 180 degrees? I'm not so sure.

Step-by-step explanation:

7 0
2 years ago
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