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Tasya [4]
3 years ago
10

When Kylie asked her grandfather how old he was, he replied, "the two digits in my age are the ages of your brother isaac and si

ster kendra. if you add their ages to mine, the sum is 83." how old is kylie's grandfather
Mathematics
1 answer:
Kitty [74]3 years ago
6 0

Answer:

Kylie's grandfather is 73 years old.

Step-by-step explanation:

Let the first digit in Kylie's grandfather's age be x, which is the age of Isaac

Let the second digit in Kylie's grandfather's age be y, which is the age of Kendra.

Therefore from the given information we can say that

(10x + y) + x + y = 83

therefore 11x + 2y = 83

Let us take x  = 7 then we get  77 + 2y = 83 \Rightarrow y = 3

Therefore we can say Issac's age is 7

and Kendra's age is 3

and the age of Kylie's grandfather is 73.

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Answer:

An explicit representation for the nth term of the sequence:

f_n=-\frac{1}{2}\cdot \:4^{n-1}

It means, option (B) should be true.

Step-by-step explanation:

Given the geometric sequence

-\frac{1}{2},\:-2,\:-8,\:-32,...

A geometric sequence has a constant ratio, denoted by 'r', and is defined by

f_n=f_1\cdot r^{n-1}

Determining the common ratios of all the adjacent terms

\frac{-2}{-\frac{1}{2}}=4,\:\quad \frac{-8}{-2}=4,\:\quad \frac{-32}{-8}=4

As the ratio is the same, so

r = 4

Given that f₁ = -1/2

substituting r = 4, and f₁ = -1/2 in the nth term

f_n=f_1\cdot r^{n-1}

f_n=-\frac{1}{2}\cdot \:4^{n-1}

Thus, an explicit representation for the nth term of the sequence:

f_n=-\frac{1}{2}\cdot \:4^{n-1}

It means, option (B) should be true.

8 0
2 years ago
If 3 is subtracted from twice a number, the result is 8 less than the number. Write an equation to solve this problem.
lakkis [162]
3 subtracted from twice a number=2x-3
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2x-3=x-8
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3 years ago
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Answer:

x > 10

Step-by-step explanation:

The graph is shown below:

If correct can you mark me brainliest

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<u><em>Answer: x=-17 and -17=x. *The answer should be the negative sign.*</em></u>

Step-by-step explanation:

subtraction property of equality is subtracting the same number from both sides of an equation does not change the equation.

a-c=b-c

subtract by 5 both sides of an equation.

x+5-5=-12-5

simplify.

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Hope this helps!

Thanks!

Have a great day!

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Answer:

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Step-by-step explanation:

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