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Strike441 [17]
2 years ago
13

Six cell phones weigh 46.2 ounces. Fourteen cell phones weigh 107.8 ounces. This relationship is an example of a proportional re

lationship. What is the constant of proportionality
Mathematics
1 answer:
Alika [10]2 years ago
5 0

Answer:

The constant is 7.7 . This is because the quantities are directly proportional so constant of proportionality is a/b or 46.2/6

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What percent of the bill will you pay if you pay your bill plus a 9.5% tax?
Gelneren [198K]

Answer:

109.5% of the bill

Step-by-step explanation:

You have to pay 100% of your bill (or else you wouldn't have paid your bill in full) and as you said, "plus a 9.5% tax". 100+9.5=109.5%

7 0
3 years ago
Suppose that $a$ is a positive integer for which the least common multiple of $a+1$ and $a-5$ is $10508$. What is $a^2 - 4a + 1$
Nana76 [90]

Answer:

21022.

Step-by-step explanation:

Find the prime factors of 10508:

2 ) 10508

2 ) 5254

37 ) 2627

       71.

50208 = 2*2*37*71.

Now there is no integer value for a that would fit  (a+ 1)(a - 5) = 10508 .

But we could try multiplying the LCM by 2:-

= 21016  = 2*2*2*37*71.

= 2*2*37 multiplied by 2 * 71

= 148 * 142.

That looks promising!!

a - 5 = 142 and

a + 1 = 148

This gives  2a - 4 = 290

2a = 294

a = 147.

So substituting a = 147 into a^2 - 4a + 1 we get:

= 21022.

4 0
3 years ago
Help me answer this question
Roman55 [17]

Answer:

  5 seconds

Step-by-step explanation:

When the ball returns to its original height, it will be 96 ft from the ground. That means we want to solve for t ...

  h(t) = 96

  96 +80t -16t^2 = 96

  16t(5 -t) = 0 . . . . subtract 96 and factor

This equation is true for t=0 and for t=5.

After 5 seconds, the ball will pass the top of the building on the way down.

3 0
3 years ago
Help with number 15 please
FinnZ [79.3K]

Answer:

It's B

Step-by-step explanation:

y=mx+b

5 0
3 years ago
Read 2 more answers
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Ulleksa [173]
If we are going to simplify the first number by dividing the given numerator by the denominator, we will get an answer of -5. This number and the second one are examples of rational number for they can be easily expressed as quotient of two number. However, the third one is irrational due to the repeating number 7 after the decimal point. Therefore, the answer is the third choice. 
4 0
3 years ago
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