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astra-53 [7]
3 years ago
10

The gas tank is 20% full. the volume is 288.75. at $3.00 per gallon of gas, find the cost to fill the tank. (1 gal = 231 in.33)

Mathematics
2 answers:
alexdok [17]3 years ago
8 0
Use an equation of ratios to determine the amount of gas needed to fill the tank.

    0.2             0.8
----------  =    ------
288.75            x
                                                               231 gal
So, 0.2x = (0.8)(288.75 gal), and x = ----------------- = 1155 gal.
                                                                 0.2

It would take 1155 gal. to fill the tank.

The cost would be

1155 gal        $3
------------ * ---------- = $3465  (answer)
       1           1 gal
Ede4ka [16]3 years ago
8 0

Answer:

The cost to fill the tank is $ 0.75.

Step-by-step explanation:

Given,

The volume of the gas tank = 288.75 in³,

Since, 20 % of tank is full by the gas,

⇒ The total gas in the tank = 20 % of the volume of the tank

= 20 % of 288.75

= 0.2 × 288.75

= 57.75 in³

= 0.25 gallon ( 1 gal = 231 in³ ⇒ 1 in³ = 1/231 gallon ),

According to the question,

The cost of 1 gallon of gas = $ 3.00

⇒ The cost of 0.25 gallon of gas = 0.25 × 3.00 = $ 0.75

Hence, the cost to fill the tank is $ 0.75.

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Given that a is the average (arithmetic mean) of 4x and 7, b is the average of 5x and 6, and c is the average of 3x and 11

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kakasveta [241]

Answer:

Part 1) The vertex is the point (-83,-9)

Part 2) The focus is the point (-82.75,-9)

Part 3) The directrix is x=-83.25

Step-by-step explanation:

step 1

Find the vertex

we know that

The equation of a horizontal parabola in the standard form is equal to

(y - k)^{2}=4p(x - h)

where

p≠ 0.

(h,k) is the vertex

(h + p, k) is the focus

x=h-p is the directrix

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x=y^{2} +18y-2

Convert to standard form

x+2=y^{2} +18y

x+2+81=y^{2} +18y+81

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(h,k) is the point (-83,-9)

so

The vertex is the point (-83,-9)

step 2

we have

x+83=(y+9)^{2}

<em>Find the value of p</em>

4p=1

p=1/4

<em>Find the focus</em>

(h + p, k) is the focus

substitute

(-83+1/4,-9)

The focus is the point (-82.75,-9)

step 3

Find the directrix

The directrix of a horizontal parabola is

x=h-p

substitute

x=-83-1/4

x=-83.25

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3 years ago
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