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makvit [3.9K]
3 years ago
5

A truck can be rented from Company A for $100 a day plus $0.40 per mile. Company B charges $20dayplus $0.90 per mile to rent the

same truck. How many miles must be driven in a day to make the rental cost for Company A less than the rental cost of Company B?
Mathematics
1 answer:
dangina [55]3 years ago
6 0

Answer:

the number of miles is 160

Step-by-step explanation:

The computation is given below:

Let us assume the miles be x

For company A

y = $100 + $0.40x

And, for company B

y = $20 + $0.90x

In order to find out the number of miles, the rental cost of the company A should be less than the company B rental cost

SO,

$20 + $0.90x > $100 + $0.40x

Subtract $20 from both sides

0.90x > 80 + 0.40x

Now subtract 0.40x from both sides

0.50x >80

x>160

So the number of miles is 160

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The range of the function f(x) = x + 5 is {7, 9). What is the function's domain?​
Maru [420]

Answer:

(2,4)

Step-by-step explanation:

The range is the y values

y = x+5

Let y=7

7 =x+5

Subtract 5

7-5 x+5-5

2=x

Let y= 9

Subtract 5

9-5 x+5-5

4=x

The domain is (2,4)

8 0
3 years ago
Help me please ( on the image )
Mrac [35]

Answer:

\frac{\pi}{3} radians

Step-by-step explanation:

Number of hours on a clock = 12

Since, measure of a circle at the center = 360°

Measure of central angle formed by the arc between each number (representing hours) = \frac{360}{12}

                                  = 30°

Central angle formed by the arc intercepted by the hands of the clock at 8:00 = 4 × 30°

        = 120°

Therefore, angle measure in radians = \frac{\pi }{360}\times (120^0)

                                                              = \frac{\pi }{3}

Angle formed by the hands of the clock at 8:00 = \frac{\pi}{3} radians

6 0
3 years ago
Use the method of cylindrical shells to find the volume V generated by rotating the region bounded by the curves about the given
Fed [463]
See attachment for one such shell. The volume is given by the sum of infinitely many thin shells like this, each with radius x and height determined by the vertical distance between the upper blue curve and the lower orange curve for any given x, i.e. 8e^x-8e^{-x}.

The volume is then

2\pi\displaystyle\int_0^1x\left(8e^x-8e^{-x}\right)\,\mathrm dx=16\pi\int xe^x(e^{2x}-1)\,\mathrm dx=\dfrac{32\pi}9(e^3-4)\approx179.677
7 0
3 years ago
Can someone help me with these 2 last homework questions<br><br> Thanks
Eva8 [605]
31a) Think of $30.90 as 100% of her bill, we first want to find 6%
To work out how much this is, we need to divide the percentage by 100 to get a multiplier (decimal)
6/100 = 0.06
Multiply 0.06 and $30.90 to get the tax
$30.90 x 0.06 = 1.854
As we can't have part of a cent, we round to the nearest 100th
If the number to the right of this value is below 5 we round down, 5 or more we round up
4 is below 5 so we round down
$1.85

31b) For the total bill, we need to add together the original and the tax
$30.90 + $1.85 = $32.75

32a) Simple Interest = PRT
This means
P x R x T
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6 0
3 years ago
Si en 1950 el 30% de la población global, alrededor de 700 millones de personas habitaban
kramer

Answer:

zonas urbanas =>  30  % de la poblacion => 700 millones

poblacion total =>  100 % de la poblacion =>   x      =>  2333.3 millones

poblacion rural => 70% de la poblacion => x - 700  => 1633.33 millones

x = \frac{700 \times100}{30} =2333.3

x-700=2333.3-700=1633.33\\

8 0
3 years ago
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