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RSB [31]
3 years ago
8

Sean's party will cost $60 if he invites 12 guests. Which expression does NOT equal the amount that Sean will spend per party gu

est in dollars?
Mathematics
1 answer:
NemiM [27]3 years ago
7 0

Options :

A) 12⟌60

B) 60 ÷ 12

C) 60⟌12

Answer:

C) 60⟌12

Step-by-step explanation:

Given that :

Total cost of inviting 12 guests to a party = $60

To obtain the cost per guest :

Total cost of invitation / number of guests

That is ; we divide the cost of inviting the guests by the number of guests invited

$60 / 12 = 12⟌60

The expression 60⟌12 is incorrect as this means 12 / $60

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If pq = 23 and uv = 1/23, find the value of u×q×v×p. Explain which properties you used
zhannawk [14.2K]

Remember that multiplication is <em>commutative</em>, which means the order in which we multiply things doesn't matter.

The order of u × q × v × p (which we can abbreviate uqvp) isn't as important as the fact that <em>we're multiplying all four values together</em>. We could just as easily rewrite the expression as pquv, and it'd represent the same value.

To find this value then, we can simply multiply pq and uv - the values we already know - together.

If we start with the expression pq = 23, we can multiply either side by uv (taking advantage of the <em>multiplication property of equality) </em>to get

pquv = 23uv

And since we know that uv = 1/23, we can use the <em>substitution property of equality</em> to replace the uv on the right side with 1/23:

pquv = 23(1/23)

The <em>inverse property of multiplication </em>states that any number multiplied by its inverse (its reciprocal) gives us 1. 23 and 1/23 are reciprocals of each other, so 23(1/23) = 1, which means

pquv = 1

Finally, going back to the second paragraph, we can use the <em>commutative property of multiplication </em>to rearrange the left side of the equation, giving us the solution

uqvp = 1

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How long (in years) would $900 have to be invested at 11.3%, compounded continuously, to earn $500 interest? (Round your answer
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Answer:

6.13 years

Step-by-step explanation:

The computation of the number of years is shown below:

As we know that

Amount = Principal ×e^{rate,time period}

($900 +  $500)  = $700 × e^{11.3%, time period}

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0.693147181 ÷ 11.3 = time period

= 6.13 years

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Mom drove 180 miles from home to the hotel in 3 hours how many miles did she drive per hour
Lorico [155]

Answer:

\huge\boxed{\sf 60 \ miles}

Step-by-step explanation:

<u>Given that,</u>

3 hours = 180 miles

Divide 3 to both sides

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So, Mom drove 60 miles in one hour.

\rule[225]{225}{2}

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