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Alina [70]
3 years ago
7

Suppose y varies jointly as x and z. Find y when x = 2 and z = 11, if y = 160 when x = 3 and z = 8. Round your answer to the nea

rest hundredth, if necessary.
Mathematics
1 answer:
defon3 years ago
7 0
Step 1– y=kxz
160=k(3)(8)
160=k(24)
24/160=(k)24/24
6.667=k

Step 2– y=kxz
y=(6.667)(2)(11)
y=146.67
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Prove the divisibility of the following numbers: 45^10·5^40 by 25^20
beks73 [17]

For this case we have the following expressions:

45^{10} * 5^ {40} and 25^{20}

Let:

45^{10} * 5^ {40} (Integer m)

25^{20} (Integer n)

By definition, an integer m is divisible by an integer n if the remainder of the division is 0. That is, there is an integer p such that: m = n * p

Rewriting the expression we have:

25^{20} = 5^{2 * (20)} = 5^{ 40}

So:

\frac {45^{10} * 5^{ 40}} {5^{40}} =

We cancel similar terms:

45^{10}

We check:

45^{10} * 5^{ 40} = 5^{ 40} * 45^{ 10}

Answer:

If they are divisible

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Solve (t-5) = 2 where t is a real number.<br> Simplify your answer as much as possible.
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Step-by-step explanation:

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4 years ago
It was reported that about 80% of airline tickets-nearly $65 billion worth last year are issued over the internet. What were the
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Answer:

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Step-by-step explanation:

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Answer:

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AREA: A=a×b A=50

2(a+b)=30

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3 0
3 years ago
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