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professor190 [17]
1 year ago
7

The automaker of your new car recommends an oil change following the first 5,000 miles and then every 3,000 miles thereafter. If

you plan to drive the car 250 miles a week, how many oil changes will you need the first year?
Mathematics
1 answer:
Jlenok [28]1 year ago
7 0

To determine how many oil changes you will need the first year, you can calculate the number of miles driven the first year and then use that to determine how many groups of 3000 miles you will drive after the first 5000 miles.


1. 52 x 250 = 13000 miles

2. 13000 miles - 5000 miles (1 oil change) = 8000 miles

3. 8000 miles - 3000 miles (1 oil change) - 3000 miles (1 oil change) = 2000 miles


The first year, you will need 3 oil changes.

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An office building has two elevators. One elevator starts out on the 4th floor, 35 feet above the ground, as it’s defending at a
iren2701 [21]

The system of equations are y = 35 - 2.2x and y = 1.7x

<em><u>Solution:</u></em>

Given that, office building has two elevators.

<em><u>One elevator starts out on the 4th floor, 35 feet above the ground, as it’s descending at a rate of 2.2 feet per second</u></em>

Let "x" be the number of seconds for which the elevator is descending

Therefore, for "x" seconds the descended feet is 2.2x feet

The elevator is at 4 th floor, 35 feet above ground

Therefore, from 35 feet, the elevator has descended 2.2x feet for "x" seconds

Let "y" be the final position of elevator after "x" seconds

Therefore,

y = 35 - 2.2x

<em><u>The other elevator starts out at ground level and is rising at a rate of 1.7 feet per second</u></em>

Here, the elevator is rising at a rate of 1.7 feet per second

Therefore, for "x" seconds, the elevator has raised 1.7x feet

Here the elevator is at ground level, therefore

y = 1.7x

Thus the system of equations are y = 35 - 2.2x and y = 1.7x

6 0
1 year ago
Find the sequence.. <br> 1,2,2,4,8
AlladinOne [14]
Let the n-th term be called a_n

We see that if we choose a_0=1,a_1=2 then the other numbers follow the pattern a_{n+2}=a_{n+1}\cdot a_n (see :4=2*2,8=4*2)

Hence the sequence will be 1,2,2,4,8,32,256, 8192, 2097152, 17179869184,\dots
7 0
1 year ago
Students who party before an exam are twice as likely to fail as those who don't party (and presumably study). If 20% of the stu
True [87]

Answer:

The fraction of the students who failed to went partying = \frac{1}{10}

Step-by-step explanation:

Let total number of students = 100

No. of students partied are twice the no. of students who not partied.

⇒ No. of students partied = 2 × the no. of students who are not partied

No. of students partied before the exam = 20 % of total students

⇒ No. of students partied before the exam = \frac{20}{100} × 100

⇒ No. of students partied before the exam =  20

No. of students who not partied before the exam = \frac{20}{2} = 10

Thus the fraction of the students who failed to went partying = \frac{10}{100} = \frac{1}{10}

8 0
2 years ago
Differences between two samples are least likely to be statistically significant if the samples are _______ and the standard dev
neonofarm [45]
Differences between two samples are least likely to be statistically significant if<span>the samples are small and the standard deviations of the samples are large</span>
5 0
1 year ago
A tiling company completes two jobs. The first job has $1200 in labor expenses for 40 hours worked, while the second job has $15
daser333 [38]

Answer:

The correct option is;

1560 = 30(52) + b

Step-by-step explanation:

The cost of the first job = $1,200 in labor and expenses

The number of hours worked in the first job = 40

The second job costs $1,560 in labor and expenses

The number of hours worked in the second job = 52

If the cost of labor per hour = L and the expenses = b, we have;

$1,200 = 40×L + b......................(1)

$1,560 = 52×L + b.......................(2)

Subtracting equation (1) from (2), we have;

52×L + b - (40×L + b) =  52×L - 40×L + b - b = $1,560 - $1,200 = $360

12×L = $360

L = $360/12 = $30/hour

From equation (1), we have;

$1,200 = 40×L + X =  40×$30 + b

Therefore, the equation that can be used to calculate the y-intercept of the linear equation is either;

1200 = 40(30) + X or 1560 = 32(52) + b, which gives the correct option as 1560 = 32(52) + b

6 0
1 year ago
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