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Georgia [21]
2 years ago
12

Claude spends $315 to rent a car. The car he rents costs $45 per day. He has a coupon for 2 free days. Complete the equation bel

ow to find the number of days Claude rents the car. Use d to represent the number of days
____(_____-____)=_______
2 2 2 2
9 9 9 9
45 45 45 45
90 90 90 90
350 350 350 350
d d d d
Mathematics
1 answer:
kozerog [31]2 years ago
6 0

He rents for d days, but two days are free, so he pays for only d - 2 days.

The rental fee is $45 per day, so for d - 2 days, he pays 45(d - 2). The total he pays is $315, so the equation is

<u>45</u>(<u>d</u> - <u>2</u>) = <u>315</u>

Now we solve the equation to find d, the number of days.

45(d - 2) = 315

45d - 90 = 315

45d = 405

d = 9

The number of days is 9.

You might be interested in
2.5 kg of cabbages cost £1.20<br><br> Work out the cost of 3.75 kg
s2008m [1.1K]
Thank you for your question!

In order to get the cost of 1 kg of cabbage, divide the cost by the quantity:

1.20/2.5
0.48

Now, multiply the amount for 1 kg to 3.75, because you need 3.75 times the amount.

0.48 * 3.75
1.80

So, it would cost 1.80 pounds for 3.75 kg.
Hope this helped!


8 0
2 years ago
Terrence walks at a pace of 2mi/h to the theater and watches a movie for 2 h and 15 min. He rides back home, taking the same rou
Liono4ka [1.6K]

Answer:

The answer to your question is the theater is 6.7 mi from home

Step-by-step explanation:

Data

speed 1 = 2 mi/h

time in theater = 2h 15 min

speed 2 = 40 mi/h

time = 3.5 h

Process

1.- Write the formula to calculate speed

             speed = distance / time

-Solve for time

             time = speed x time

2.- Write and equation to solve this problem

      total time = time from home to theater + time from theater to home

3.- Substitution

      3.5 = d/2 + d/40

4.- Solve for d

      3.5 = (20d + d) / 40

      140 = 21d

      d = 140 / 21

      d = 6.7 mi

4 0
2 years ago
Fiona wrote the linear equation y = x – 5. when henry wrote his equation, they discovered that his equation had all the same sol
djverab [1.8K]
I would go with A but I am not 100% sure so you may want to check however you can.
6 0
2 years ago
Read 2 more answers
If sin theta = sqrt(2/2), which could not be the value of theta?
Nataliya [291]

The solution would be like this for this specific problem:

sin(θ°) = √(2)/2 

θ° = 360°n + sin⁻¹(√(2)/2) and θ° = 360°n + 180° − sin⁻¹(√(2)/2)
θ° = 360°n + 45° and θ° = 360°n + 135° where n∈ℤ 

360°*0 + 45° = 45° 
360°*0 + 135° = 135° 
360°*1 + 45° = 405° 

<span>sin(225°) = -√(2)/2

</span>225 has an angle where sin theta= -(sqrt2)/2 therefore, the value of theta cannot be 225 degrees.

4 0
2 years ago
Read 2 more answers
An individual is hosting a cookout for the kick ball team. The individual wants to have two hot dogs for each guest, and 6 extra
hoa [83]

Answer:

Option 2) y = 26    

Step-by-step explanation:

We are given the following in the question:

The individual wants to have two hot dogs for each guest, and 6 extra hot logs in case some teammates bring friends.

Thus, the dependent variable is the number of hot dogs.

\text{y: Number of hot dogs}

The independent variable is the number of teammates.

\text{x: Number of teammates}}

Thus, the linear relation between the dependent and the independent variable is given as:

y(x) = 2x + 6

We have to find the value of dependent variable when independent variable is 10

For x = 10

y(10) = 2(10) + 6 = 26

Thus, the correct answer is

Option 2) y = 26

3 0
2 years ago
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