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4 years ago

A rental truck cost $48 plus $0.40 per mile.

1 answer:

3 0

(a) If we let x be the number of miles and y be the total cost, the equation for relating the number of miles and the total cost would be,
y = 0.4x + 48

(b) If the rental cost is 60,
60 = 0.4x + 48
The value of x from the equation is 30.

(c) You may prepare the table of values by allowing x be any number and then solve for y until we arrive with an answer for y being equal to 60.

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Do the product 40×500 and 40×600 have the same number of zeros? Explain.

faltersainse [42]

No.

40*500= 20,000

40*600= 24,000

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3 years ago

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Which graph shows a function whose inverse is also a function?

-BARSIC- [3]

Answer:

Option C.

Step-by-step explanation:

See the attached figure which represents the graph of the given options.

To determine if a line represents a valid function, we may use the vertical line test.

If it is touching more than one point on the line at a time, the line is not a valid function.

So, according to the previous rule, the function of figure C is a function and its inverse is also a function.

The answer is option C.

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3 years ago

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A rectangular tank, 25 cm long and 25 cm wide is filled with water to a depth of 10 cm. When a metal cube of edge 10 cm is place

Sophie [7]

The problem involves the volume of the water of the rectangular tank, so first we must find the volume of our water. For the volume we have;

$\begin{gathered} \text{Volume = Lenght x Width x Height} \\ V_{water}_{}_{}\text{ = 25 x 25 x 10} \\ V_{water}=6250cm^3 \end{gathered}$

Therefore our tank has an initial volume of 6250 cm³, but if you drop a cube with a side measuring 10 cm. the volume of the water in our tank increases. Giving us the expression;

$\begin{gathered} \text{Volume Combined = Volume of Water + Volume of Cube} \\ V_{comb}=V_{water}+V_{cube} \end{gathered}$

Since we already have the volume of the water (which is 6250), we just need to find the volume of the cube using the same formula (Volume = Lenght x Width x Height);

$\begin{gathered} V_{comb}=V_{water}+V_{cube} \\ V_{comb}=V_{water}+(Lenght_{cube})(Width_{cube})(Height_{cube})_{}_{}_{} \\ V_{comb}=V_{water}+10(10)(10) \\ V_{comb}=6250+1000 \\ V_{comb}=7250cm^3 \end{gathered}$

Therefore our new volume when they are combined or when the cube is droped in the tank is 7250 cm³.

But we must remember since our tank would remain it's shape no matter how much water it holds it would always retain it's dimension of it's lenght and width (25x25), therefore it is possible to find the height of the new water level using this logic;

$\begin{gathered} V_{comb}=(Length_{\tan k})(Width_{\tan k})(Height_{water}\text{)} \\ V_{comb}=(25)(25)(Height_{water})\text{ , with our }V_{comb}=7250 \\ 7250=625(Height_{water}) \\ \text{Height}_{water}=\frac{7250}{625} \\ \text{Height}_{water}=11.6\text{ cm} \end{gathered}$

Therefore the height of the new water level is 11.6 cm.

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1 year ago

An equation is given.

svp [43]

Answer:

option A is correct answer

divide both sides with 2

hope it helps

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3 years ago

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Show that the following data are inconsistent: ‘Of a group of 50 students, 23 take mathematics, 14 take chemistry and 17 take ph

kirill115 [55]

Answer:The following data are inconsistent because the number of students that offer the three subject gives us a negative value. X= -4. Which shouldn't be. Therefore the data are inconsistent.

Step-by-step explanation:

See attached picture for explanations.

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3 years ago