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Ratling [72]
3 years ago
8

Mrs.Magdalino kept records on how much she spent on gasoline and the maintenance of her car. She found that it cost $485 to driv

e 500 miles in a month. Find the cost per month.Write a rule to describe the cost c for gasoline and the maintnance of a car as a function the number of miles m the car is driven.
Mathematics
1 answer:
Semenov [28]3 years ago
6 0

Cost per mile = \frac{cost}{number of miles}

= \frac{485}{500}

= 0.97

Now,

c - cost for gasoline and maintenance and

m - number of miles traveled

Hence, the required expression is c = 0.97m.

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H= .6.5

V=<span>πr^2h

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Wilson began watering his garden with a watering can that was completely full. The amount of water in the can as Wilson was wate
worty [1.4K]

Answer:

B. The amount of water originally in Wilson's can was 2.5 gallons.

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3 years ago
Help on the second graph
Deffense [45]

Answer:

<u>first graph:</u>

function.

Not one-one

onto

<u>Second graph:</u>

Function

one-one

not onto.

Step-by-step explanation:

We know that a graph is a function if any vertical line parallel to the y-axis should intersect the curve exactly once.

A graph is one-one if any horizontal line parallel to the x-axis or domain should intersect the curve atmost once.

and it is onto if any horizontal line parallel to the domain should intersect the curve atleast once.

Hence, from the <u>first graph:</u>

if we draw a vertical line parallel to the y-axis then it will intersect the graph exactly once. Hence, the graph is a function.

But it is not one-one since any horizontal line parallel to the domain will intersect the curve more than once.

But it is onto, since any horizontal line parallel to the domain will intersect the curve atleast once.

<u>Second graph</u>

It is a function since any vertical line parallel to the co-domain will intersect the curve exactly once.

It is not one-one since any horizontal line parallel to the x-axis does not intersect the graph atmost once.

It is not onto, since any horizontal line parallel to the domain will not  intersect the curve atleast once.

7 0
3 years ago
There are some nickels, dimes, and quarters in a large piggy bank. For every 2 nickels there are 3 dimes. For every 2 dimes ther
rodikova [14]

Answer: a) Number of nickels, dimes, and quarters are 80, 120, 300 respectively.

b) The coins are worth of 91 dollars i.e. $91 in the piggy bank.

Explanation:

Since we have given that

For every 2 nickels there are 3 dimes ,

So, their ratio will be 2:3

and for every 2 dimes there are 5 quarters.\,

So, their ratio will be 2:5

Now, we'll first find the ratio of nickles to dimes to quarters i.e.

Nickle  Dimes  Quarters

2            3

             2               5

So, it becomes ,

Nickle : Dimes : Quarters

2×2     : 3×2        : 3×5

4         : 6            :  15

Now, let the number of nickle be 4x

Let the number of dimes be 6x

Let the number of quarters  be 15x

According to question,

4x+6x+15x=500\\\\25x=500\\\\x=\frac{500}{25}=20

So, number of nickels is given by

4x=4\times 20=80

Number of dimes is given by

6x=4\times 20=120

Number of quarters is given by

15x=4\times 20=300

As we know that

1\ nickel=5\ cents\\\\1\ dime=10\ cents\\\\1\ quarter=25\ cents

So, According to our question, we get

80\times 5+120\times 10+300\times 25=400+1200+7500=9100\ cents\\\\1\ cent=0.01\ dollar\\\\9100\ cents=9100\times 0.01\ dollars=91\ dollars.

Hence,

a) Number of nickels, dimes, and quarters are 80, 120, 300 respectively.

b) the coins are worth of 91 dollars i.e. $91 in the piggy bank.


7 0
3 years ago
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Kryger [21]

Answer:

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Step-by-step explanation:

Create the following proportion:

\frac{10.5}{4.75} = \frac{x}{1}

Cross multiply.

10.5 x 1 = 10.5

4.75 x X = 4.75x

4.75x = 10.5

Divide both sides by 4.75x.

10.5/4.75 = 2.2

6 0
3 years ago
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