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FrozenT [24]
3 years ago
13

A driver uses the metric system to calculate that a certain place is 1,000 kilometers away. However, the driver uses the U.S. sy

stem to calculate that his trailer truck travels 10 miles for every gallon of gasoline it contains. If the gas station attendant fills the trailer truck with 70 gallons of fuel, will the driver have enough fuel to reach his destination? Explain your answer. (Hint: 1 mile = 1.6 kilometers.)
Mathematics
1 answer:
Schach [20]3 years ago
8 0
1 gallon = 10 miles = 16 km
With 70 gallons of fuel, the driver can reach:
70 · 16 = 1,120 km > 1,000 km
 The driver will have enough fuel to reach his destination.
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Vedmedyk [2.9K]

Answer:

ummmmmm....post the pic at least

8 0
2 years ago
Fundamental theorem of calculus<br> <img src="https://tex.z-dn.net/?f=g%28s%29%3D%5Cint%5Climits%5Es_6%20%7B%28t-t%5E4%29%5E6%7D
mr_godi [17]

Answer:

\displaystyle g'(s) = (s-s^4)^6

Step-by-step explanation:

The Fundamental Theorem of Calculus states that:
\displaystyle \frac{d}{dx}\left[ \int_a^x f(t)\, dt  \right] = f(x)

Where <em>a</em> is some constant.

We can let:
\displaystyle g(t) = (t-t^4)^6

By substitution:

\displaystyle g(s) = \int_6^s g(t)\, dt

Taking the derivative of both sides results in:
\displaystyle g'(s) = \frac{d}{ds}\left[ \int_6^s g(t)\, dt\right]

Hence, by the Fundamental Theorem:

\displaystyle \begin{aligned} g'(s) & = g(s) \\ \\  & = (s-s^4)^6\end{aligned}

3 0
2 years ago
5x-60 = -60 +2x +3x<br> how many solutions does the equation have
xeze [42]

Answer:

infinitely \: many \: solution

Step-by-step explanation:

1) Cancle -60 on both sides.

5x = 2x + 3x

2) Simplify 2x + 3x to 5x.

5x = 5x

3) Since both sides are equal, there are infinitely many solutions.

infinietly \: many \: solution

<u>Therefor</u><u>,</u><u> </u><u>this</u><u> </u><u>equation</u><u> </u><u>has</u><u> </u><u>infinitely</u><u> </u><u>many</u><u> </u><u>solutions</u><u>.</u>

5 0
3 years ago
Find an equation of the line in the form whose​ x-intercept is 15 and​ y-intercept is 3​, where​ a, b, and c are integers with n
madreJ [45]

x-intercept = (15, 0)                  y-intercept = (0, 3)

slope (m) = (y₂ - y₁)/(x₂ - x₁) = (0 - 3)/(15 - 0) = -3/15 = -1/5

Point-Slope formula: y - y₁ = m(x - x₁)   ; where (x₁, y₁) is one of the given points

y - 0 = (-1/5)(x - 15)

    -5y = x - 15

             x + 5y = 15

Answer: x + 5y = 15

5 0
3 years ago
4x + 17 = 30<br> WHAT IS THE ANSWER
zimovet [89]

Answer:3.25

Step-by-step explanation:

30-17=13 13 divied by 4 = 3.25

6 0
2 years ago
Read 2 more answers
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