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umka2103 [35]
3 years ago
7

ANSWER....................

Mathematics
1 answer:
natulia [17]3 years ago
5 0

Answer:

x=33

Step-by-step explanation:

8^(x+7) = 32^(x-9)

Rewriting 8 as 2^3   and 32 as 2^5

2^3 ^(x+7) = 2^5^(x-9)

We know that a^b^c = a^(b*c)

2^(3*(x+7)) = 2^(5*(x-9))

2^(3x+21) = 2^(5x-45)

We know that if the bases are the same, the exponents are the same

3x+21 = 5x-45

Subtract 3x from each side

3x-3x+21 = 5x-3x-45

21 = 2x-45

Add 45 to each side

21+45 = 2x-45+45

66= 2x

Divide by 2

66/2 = 2x/2

33=x

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Answer:

x^{3}+x^{2} -14x-24

5 0
3 years ago
A ramp has a horizontal distance of 10 feet and a vertical rise of 3 feet. Find the length of the ramp. Round to the nearest ten
Tatiana [17]

Answer:

Step-by-step explanation:

Tye length of the ramp can be gotten using Pythagoras theorem.

Horizontal distance = 10ft.

Vertical distance = 3ft

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L =√109

L = 10.44ft

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4 0
3 years ago
A waitress works 1.75 hours less in the afternoon than in the evening. If she works 5 1/8 hours in the afternoon, how many hours
Marianna [84]

Answer:

She worked  6\frac{7}{8} hours in evening.

Step-by-step explanation:

Let x be the hours she worked in evening,

Since, she works 1.75 hours less in the afternoon than in the evening.

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According to the question,

x-1.75 = 5\frac{1}{8}

x= \frac{41}{8}+1.75      ( By adding 1.75 on both sides and change mixed fraction into simple fraction in right side )

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8 0
3 years ago
Find the difference of 1/2 - 3/11
TEA [102]
1/2 - 3/11

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1/2 is now 11/22

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So, our new question is now : 11/22 - 6/22

Because the denominators are the same, all you have to do is simplify the top numbers.

So, 11-6 = 5

Therefore, your answer is 5/22

~Hope I helped!~
3 0
3 years ago
Read 2 more answers
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4 0
3 years ago
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