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Rasek [7]
3 years ago
6

The cost to rent a car at one agency is $24.50 per day plus an additional $15.99 fee for insurance. At a different agency, the c

ost to rent a car is $27.50 per day, but the insurance is only an additional $3.99 fee. Which equation could be used to find the number of days, d, at which the rental fee is the same for both agencies?
Mathematics
1 answer:
Lena [83]3 years ago
3 0

Answer:

d=4

Step-by-step explanation:

Agency 1:

Total cost of renting a car=24.50d + 15.99

Agency 2:

Total cost of renting a car=27.50d + 3.99

Where, d=No. of days of renting the car

Which equation could be used to find the number of days, d, at which the rental fee is the same for both agencies?

The equation is by equating agency 1 and agency 2 equation

24.50d + 15.99 = 27.50d + 3.99

Collect like terms

24.50d - 27.50d = 3.99 - 15.99

-3d = -12

Divide both sides by -3

d= -12 / -3

=4

d=4

Check

Agency 1:

24.50d + 15.99

= 24.50(4) + 15.99

= 98 + 15.99

= 113.99

Agency 2:

27.50d + 3.99

= 27.50(4) + 3.99

= 110 + 3.99

= 133.99

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Answer:

  the other dimension is 4.2 inches

Step-by-step explanation:

The scale factor from 5 inches to 10.5 inches is ...

  10.5/5 = 2.1

Then the other dimension is 2 inches times that scale factor:

  2.1×(2 in) = 4.2 in

4 0
3 years ago
Plzzzzzzzz! A suitcase lock has a code 4 symbols long. The symbols on the lock are a star, a square, a circle, a triangle, a lin
34kurt

Answer:

                \dfrac{1}{30}

Step-by-step explanation:

6 symbols and 4-symbol code so number of combinations wich doesn't contain the same symbol twice would be:

6•5•4•3 = 360

If code starts with a star followed by triangle that means only one posibility for first two symbols and code doesn't containing the same symbol twice means that left 4 symbols for next two.

So number of combinations of code starting with a star followed by triangle and doesn't containing the same symbol twice will be:

1•1•4•3 = 12

The probability that a randomly chosen code starts with a star followed by triangle and doesn't contain the same symbol twice:

\dfrac{1\cdot1\cdot4\cdot3}{6\cdot5\cdot4\cdot3}=\dfrac{1\cdot1}{6\cdot5}=\dfrac{1}{30}

7 0
3 years ago
Able, Ben and Cal each played a game able's score was six times ben's score, Cale score was a hird time of Able's score write do
Svetradugi [14.3K]

Answer:

Abel to Ben: 6

Abel to Carl: 3

Ben to Carl: 0.5

Step-by-step explanation:

First we formulate the problem in equations:

Abel = 6 * Ben

Cale = Abel / 3

If Cale's score is Abel's score over 3, so Abel's score is 3 times Cale's score.

If Abel's score is 6 times Ben's score, and 3 times Cale's score, then Cale's score is 2 times Ben's score (so Ben's score is 0.5 times Cale's score)

So, the ratio between all scores are the following:

Abel to Ben: 6

Abel to Carl: 3

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8 0
3 years ago
Read 2 more answers
What additional information is obtained by measuring two individuals on an ordinal scale compared to a nominal scale
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The direction of the difference between the 2 measurements.

<h3>What is nominal and ordinal scale with example?</h3>
  • Examples of data for a nominal scale include a person's gender, ethnicity, and hair color.
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<h3>What is the difference nominal and ordinal?</h3>
  • Ordinal data has a preset or natural order, whereas nominal data is categorized without a natural order or rank.
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<h3>What is an example of a ordinal scale?</h3>
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Learn more about ordinal scale and  nominal scale here:

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8 0
1 year ago
B2-4b+4=0 using quadratic forumla
Ivan

Trying to factor by splitting the middle term   

Factoring <span> b2-4b+4</span> 
The first term is, <span> <span>b2</span> </span> its coefficient is <span> 1 </span>.
The middle term is, <span> -4b </span> its coefficient is <span> -4 </span>.
The last term, "the constant", is <span> +4 </span>

Step-1 : Multiply the coefficient of the first term by the constant <span>  1 • 4 = 4</span> 

Step-2 : Find two factors of  4  whose sum equals the coefficient of the middle term, which is  <span> -4 </span>.
<span><span>     </span></span>

<span><span>-4   +   -1   =   -5</span><span>     -2   +   -2   =   -4   That's it</span></span>


Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -2  and  -2 
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Step-4 : Add up the first 2 terms, pulling out like factors :
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              Add up the last 2 terms, pulling out common factors :
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Step-5 : Add up the four terms of step 4 :
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             Which is the desired factorization

8 0
3 years ago
Read 2 more answers
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