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lesantik [10]
3 years ago
15

A truck company charged $40 for one day truck rental +0.85 per mile formulate a linear equation to model the cost c(d) Of one da

y rental driven d miles and determine the number of miles driven if the cost is $91
Mathematics
2 answers:
sladkih [1.3K]3 years ago
4 0

Answer:

60

Step-by-step explanation:

liubo4ka [24]3 years ago
3 0

For this case we have to:

d: Let the variable representing the number of miles traveled per day

Then, the cost will be given by the following equation:

C (d) = 0.85d + 40

If we have the cost C (d) = 91, then the number of miles traveled is:

91 = 0.85d + 40\\91-40 = 0.85d\\51 = 0.85d\\d = \frac {51} {0.85}\\d = 60

Thus, the number of miles traveled is 60.

Answer:

C (d) = 0.85d + 40

For a C (d) = 91, the number of miles traveled is 60

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iVinArrow [24]

Answer:

  c. m∠P'Q'R' = m∠PQR

Step-by-step explanation:

Rotation is a rigid transformation. It does not change lengths or angles.

8 0
3 years ago
Read 2 more answers
A rectangle has an area of (x2 − 17x + 72) square units. Since the area of a rectangle is determined using the formula, A = lw,
klasskru [66]

Answer:

length = (x − 8) units and width = (x − 9) units

Step-by-step explanation:

We need to factor

x^2 - 17x + 72

We need two numbers whose product is 72 and whose sum is -17.

The numbers are -8 and -9.

x^2 - 17x + 72 = (x - 8)(x - 9)

Answer: length = (x − 8) units and width = (x − 9) units

8 0
2 years ago
Read 2 more answers
5.5 = -2 + d
TEA [102]
The value of <em>d</em> is 7.5.

The key to solving equations is doing the inverse, or opposite, function/process.
For example, you subtract when d + 1 = 2:
d + 1 = 2
(d + 1) -1 = (2) - 1
d = 1

In the same way, you add values when you have a negative:
5.5 = -2 + d = d - 2
5.5 = d - 2
(5.5) + 2 = (d - 2) + 2
7.5 = d

Now if instead of adding 2, you subtract 2, the problem becomes:
5.5 = d - 2
(5.5) - 2 = (d - 2) - 2
3.5 = d - 4

This doesn't solve your problem, it just makes the value needed to be canceled out larger.

Thus d = 7.5 and you will add because the value is negative.
7 0
3 years ago
Read 2 more answers
Juanita and lauren are painting a circular mural on one wall of the community center. The area of the mural is 33 square meters
tangare [24]

Answer:

The radius is 3.24102 meters

Step-by-step explanation:

We are given

area of mural is 33 m^2

Since, the shape of mural is circular

Let's assume radius of circle as 'r'

so, we can use area of circle formula

A=\pi r^2

now, we can set A=33

and then we can solve for r

33=\pi r^2

we get

r^2=\frac{33}{\pi }

r=3.24102

So,

The radius is 3.24102 meters


8 0
3 years ago
A researcher wishes to estimate the average blood alcohol concentration​ (BAC) for drivers involved in fatal accidents who are f
Mnenie [13.5K]

Answer:

A 90% confidence interval for the mean BAC in fatal crashes in which the driver had a positive BAC is [0.143, 0.177] .

Step-by-step explanation:

We are given that a researcher randomly selects records from 60 such drivers in 2009 and determines the sample mean BAC to be 0.16 g/dL with a standard deviation of 0.080 ​g/dL.

Firstly, the pivotal quantity for finding the confidence interval for the population mean is given by;

                               P.Q.  =  \frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }  ~   t_n_-_1

where, \bar X = sample mean BAC = 0.16 g/dL

            s = sample standard deviation = 0.080 ​g/dL

            n = sample of drivers = 60

            \mu = population mean BAC in fatal crashes

<em>Here for constructing a 90% confidence interval we have used a One-sample t-test statistics because we don't know about population standard deviation. </em>

So, a 90% confidence interval for the population mean, \mu is;

P(-1.672 < t_5_9 < 1.672) = 0.90  {As the critical value of t at 59 degrees of

                                              freedom are -1.672 & 1.672 with P = 5%}    P(-1.672 < \frac{\bar X-\mu}{\frac{s}{\sqrt{n} } } < 1.672) = 0.90

P( -1.672 \times {\frac{s}{\sqrt{n} } } < {\bar X-\mu} < 1.672 \times {\frac{s}{\sqrt{n} } } ) = 0.90

P( \bar X-1.672 \times {\frac{s}{\sqrt{n} } } < \mu < \bar X+1.672 \times {\frac{s}{\sqrt{n} } } ) = 0.90

<u>90% confidence interval for</u> \mu = [ \bar X-1.672 \times {\frac{s}{\sqrt{n} } } , \bar X+1.672 \times {\frac{s}{\sqrt{n} } } ]

                                       = [ 0.16-1.672 \times {\frac{0.08}{\sqrt{60} } } , 0.16+1.672 \times {\frac{0.08}{\sqrt{60} } } ]

                                       = [0.143, 0.177]

Therefore, a 90% confidence interval for the mean BAC in fatal crashes in which the driver had a positive BAC is [0.143, 0.177] .

7 0
3 years ago
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