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Luda [366]
3 years ago
11

A car with a 20 gallon gas tank can go 25 miles on 1gallon of gas. If the tank is full at the begining of the trip, how many tim

es does the driver have to refill the gas tank on a 725 mile trip
Mathematics
2 answers:
Alborosie3 years ago
7 0

Answer:

580

Step-by-step explanation:

20 gallon gas tank = 25 miles

-------------------------------------------------

   14500  =725 miles / 20

725 x 20 = 14500/25=580


horrorfan [7]3 years ago
6 0

Answer:

he can go 500 miles

Step-by-step explanation:


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Step-by-step explanation:      

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3 years ago
At a unit price of $900, the quantity demanded of a certain commodity is 75 pounds. If the unit price increases to $956, the qua
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Answer:

1) The demand equation is x=-0.25p+300

2) The price when no consumers willing to buy this commodity is $1200.

3) The quantity of the commodity would consumers take if it was free is 300 pounds.

Step-by-step explanation:

Given : At a unit price of $900, the quantity demanded of a certain commodity is 75 pounds. If the unit price increases to $956, the quantity demanded decreases by 14 pounds.

To find :

1) The demand equation ?

2) At what price are no consumers willing to buy this commodity?

3) According to the above model, how many pounds of this commodity would consumers take if it was free?

Solution :

1) According to question,

p is the unit price and x is the quantity demanded for this commodity in pounds.

Let, p_1=\$900 and  x_1=75\text{ pounds}

and p_2=\$956 and  x_2=75-14=61\text{ pounds}

To find the demand equation we apply two point slope form,

(x - x_1)=\frac{(x_2-x_1)}{(p_2-p_1)}\times(p-p_1)

Substitute the values,

(x - 75)=\frac{61-75}{956-900}\times(p-900)

(x - 75)=\frac{-14}{56}\times(p-900)

(x - 75)=\frac{-1}{4}\times(p-900)

x-75=-\frac{1}{4}p+225

x=-\frac{1}{4}p+300

x=-0.25p+300

The demand equation is x=-0.25p+300

2) For no consumers,

Substitute x=0 in demand equation,

0=-0.25p+300

0.25p=300

p=\frac{300}{0.25}

p=1200

The price when no consumers willing to buy this commodity is $1200.

3)  For free,

Substitute p=0 in demand equation,

x=-0.25(0)+300

x=300

The quantity of the commodity would consumers take if it was free is 300 pounds.

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