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Kobotan [32]
3 years ago
10

For a particular cargo train, the amount of fuel needed for a trip varies directly with the number of miles it plans on travelin

g. If it needs 300 gallons of fuel for a 100-mile trip, how much fuel does it need for a 750-mile trip?
2100 gallons


2150 gallons


2200 gallons


2250 gallons
Mathematics
2 answers:
Romashka [77]3 years ago
6 0
Hello! This answer desnt have work on it which I apologize about. But the answer is 2250!
Katyanochek1 [597]3 years ago
4 0
2250 gallons. You have to think of the ratio. 300•750=225000
225000/100=2250
You have to do cross multiplication
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11/n=8/5 solve for n
mezya [45]

Answer:

n = 55/8

Step-by-step explanation:

\frac{11}{n} = \frac{8}{5}\\\\cross \ multiply :\\ 8 \times n = 11 \times 5\\\\n = \frac{11 \times 5}{8} = \frac{55}{8}

6 0
3 years ago
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How do you solve for u?
Paraphin [41]

Answer:

u=9.8

Step-by-step explanation:

the minus sign on u and the minus sign on 9.8 cancel out so you get u=9.8.

3 0
3 years ago
Is there a trend in this data if there is please tell me and why ,thank u
pickupchik [31]
No thers not a trend because a trend need to be in a strait line and thers not a strait line in the photo

5 0
3 years ago
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2. Consider the circle x² + y2 = 1, given in figure. Let OP makes an angle 30° with the x axis.
PolarNik [594]

The equation of the tangent line to the circle passing through the point P is; y = (1/√3)x ± 2/√3

<h3>How to find the equation of the tangent?</h3>

I) We are given the equation of the circle as;

x² + y² = 1

Since angle of inclination is 30°, then slope is;

m = tan 30 = 1/√3

Then equation of the tangent will be;

y = (1/√3)x + c

Put  (√3)x + c into the given circle equation to get;

x² + ((1/√3)x + c)² = 1

x² + ¹/₃x² +  (2/√3)cx + c² = 1

⁴/₃x² +  (2/√3)x + (c² - 1) = 0

Since we need to find value of c for equation to become tangent, then the above quadratic equation must have real and equal roots.

Thus;

((2/√3)c)² - 4(⁴/₃)(c² - 1) = 0

⁴/₃c² - ¹⁶/₃(c² - 1) = 0

⁴/₃c² - ¹⁶/₃c² + ¹⁶/₃ = 0

4c² = ¹⁶/₃

c² = ⁴/₃

c = √⁴/₃

c = ±²/√3

Thus, equation of tangent is;

y = (1/√3)x ± 2/√3

II) Radius from the given equation is 1. Thus, we will use trigonometric ratio to find the x and y intercept;

x-intercept is at y = 0;

0 = (1/√3)x ± 2/√3

-(1/√3)x = ±2/√3

Intercept is positive. Thus;

x = (2/√3)/(1/√3)

x = 1

y - intercept is positive at x = 0;

y = (1/√3)0 ± 2/√3

y = 2/√3

Read more about Equation of tangent at; brainly.com/question/17040970

#SPJ1

6 0
1 year ago
A pair of pants with a marked price of $35.00 has a discount of 20%. How much is the discount? Can someone help me learn to do p
andreyandreev [35.5K]
When you see a "%" you need to ask " a percent of what"?

Here, it's a percent of the original prize, so the discount is 20% of the original prize, that is 20% of 35.

20% is also 20/100 or 1/5, so we can calculate this like this:

\frac{1}{5} *35=7

so the discount is 7 dollars.
6 0
3 years ago
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