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Vesnalui [34]
4 years ago
10

A downtown parking lot charges $4.00 per hour for the first two hours and $1.50 for each additional hour thereafter. Raul paid $

12.50 for parking during a business meeting. Which equation describes h, the number of hours Raul paid for?
Mathematics
1 answer:
Eddi Din [679]4 years ago
3 0

Answer:

5 hours

Step-by-step explanation:

2 first hours cost 4.00 which equals 8.00

Additional hours cost 1.50

So we know he already has to pay 8.00 for the first 2 hours

now you just subtract 8.00 from 12.50 which equals 4.50

If one hour is 1.50 Then 2 hours is 3.00 so we subtract 3.00 from 4.50 which equals 1.50 and 1.50 equalss another hour

y=4x+1.50

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Phoebe and finn are sharing
pychu [463]

Answer:

Let's define:

P = pies that Phoebe ate

F = pies that Finn ate

We know that together they ate 29/12 pies, then:

P + F = 29/12

We know that Finn ate more than Phoebe, then F > P.

And we know that Phoebe ate more than 5/6 of a pie, then:

P > 5/6.

Then we have the relations:

P + F = 29/12

P > 5/6

F > P

To find different combinations we can just give one of the variables a value.

We have a direct condition on P, which is:

P > 5/6

So we can just give P any value larger than 5/6 and find the value of F.

For example:

P = 6/6 = 1

Then:

F + 1 = 29/12

F = 29/12 - 1 = 29/12 - 12/12 = 17/12

And 17/12 > 5/6

So we meet the condition F > P.

Then we have the combination:

P = 1

F = 17/12

Now let's find another condition, this time let's use:

P = 5/6 + 1/12 = 10/12 + 1/12 = 11/12

Then:

F + 11/12 = 29/12

F = 29/12 - 11/12 = 18/12

And 18/12 > 11/12

Then we meet the condition:

F > P.

We have the combination:

F = 18/12

P = 11/12

Now for the last combination, we can use:

P = 5/6 + 3/12 = 10/12 + 3/12 = 13/12

Then:

F + 13/12 = 29/12

F = 29/12 - 13/12

F = 16/12

And 16/12 > 13/12

Then we meet the condition F > P

We have the combination:

F = 16/12

P = 13/12.

5 0
3 years ago
Find the perimeter of the square 4x+3 in and 3(2x-5) in
Readme [11.4K]
24x + 8 would be the anwser
8 0
3 years ago
A dog is leashed to a point in the center of a large yard. If the leash is 18.8 feet long, what is the total area of the region
Orlov [11]

Answer:

<u>1109.8 square feet</u>

Step-by-step explanation:

In this case, assume the leash to be the radius of the circular yard.

<u>Area</u>

  • πr²
  • 3.14 x (18.8)²
  • 3.14 x 353.44
  • <u>1109.8 square feet</u>
5 0
2 years ago
In a random sample of 535 people 65% said they like cookies with chocolate chips 37% like cookies with peanut butter chips. 25%
Leokris [45]
<h3>The probability that a randomly selected person likes cookies with chocolate or peanut butter chips is 0.77.</h3>

Step-by-step explanation:

Here, the total sample of people has total  535 people.

The percentage of people liking chocolate chip cookies  =  65%

Now, 65% of 535   = \frac{65}{100} \times 535 = 347.75 \approx 348

⇒ 348 people in total like chocolate chip cookies.

⇒ n(C)  = 348

The percentage of people liking peanut butter chip cookies  =  37%

Now, 37% of 535   = \frac{37}{100} \times 535 = 197.95 \approx 198

⇒ 198 people in total like peanut butter chip cookies.

⇒ n(B)  = 198

Percentage of people liking both chocolate &peanut butter chips = 25%  

Now, 25% of 535   = \frac{25}{100} \times 535 =133.75 \approx 134

⇒ 134 people in total like both chocolate &peanut butter chips

⇒ n(C ∩ B )  = 134

Now, n( C U B)  = N(C) + n(B) - n(C ∩ B )

                           = 348 + 198 - 134  = 412

P( person likes cookies with chocolate or peanut butter chips)  

= \frac{\textrm{person likes cookies with chocolate or peanut butter chips}}{\textrm{Total People}}  = \frac{412}{535}  = 0.77

Hence, the probability that a randomly selected person likes cookies with chocolate or peanut butter chips is 0.77.

6 0
3 years ago
Tell whether the given value is a solution of the inequality.<br> 5x - 17 &gt; 62; x = 13
andrezito [222]

Answer:

the given value x=13 is not a solution of the inequality

Step-by-step explanation:

we first need to solve this inequality (can treat the inequality like a normal equation to solve it)

5x-17 > 62

5x > 79

x>(79/5)

keep in mind that (79/5)=15.8

so x needs to be bigger than 15.8 in order to satisfy this inequality.

since 13<15.8 when x=13 it does not satisfy the inequality

therefore the given value x=13 is not a solution of the inequality

8 0
3 years ago
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