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tigry1 [53]
3 years ago
14

Karl set out to Alaska on his truck.

Mathematics
2 answers:
tester [92]3 years ago
6 0

Answer:

<u>The track consumes ≅ 61 liters of fuel every 100 kilometres</u>

Step-by-step explanation:

As we can see in the graph, the total distance that the truck can travel with 500 liters of fuel is ≅ 825 kilometres.

For answering the question properly, we use the Rule of Three Simple, this way:

Kilometres                Liters of fuel

825                              500

100                                 x

Solving for x, we have:

825 * x = 500 * 100

825x = 50,000

x = 50,000/825

x = 60.6 liters of fuel (61 rounding to the next whole)

x ≅ 61 liters of fuel

<u>The track consumes ≅ 61 liters of fuel every 100 kilometres</u>

NikAS [45]3 years ago
3 0

Answer:

It's 0.6 liters per kilometer on khan academy, not 60 liters. i got it wrong the 1 time but i put 0.6 and it was right

Step-by-step explanation:

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umka21 [38]

Answer:

The answer is 4006

Step-by-step explanation:

You get this answer by looking at the ones and it is greater than 5

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3 years ago
Which equation represents the relationship in the graph?<br><br> giving brainliest!!!
Xelga [282]
A,the intercept is equal to 70
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Forces of 9 lbs and 13 lbs act at a 38º angle to each other. Find the magnitude of the resultant force and the angle that the re
fiasKO [112]

Answer: R=20.84\ lb\quad 22.57^{\circ},15.43^{\circ}

Step-by-step explanation:

Given

Two forces of 9 and 13 lbs acts 38^{\circ} angle to each other

The resultant of the two forces is given by

\Rightarrow R=\sqrt{a^2+b^2+2ab\cos \theta}

Insert the values

\Rightarrow R=\sqrt{9^2+13^2+2(9)(13)\cos 38^{\circ}}\\\Rightarrow R=\sqrt{81+169+184.394}\\\Rightarrow R=\sqrt{434.394}\\\Rightarrow R=20.84\ lb

Resultant makes an angle of

\Rightarrow \alpha=\tan^{-1}\left( \dfrac{b\sin \theta}{a+b\cos \theta}\right)\\\\\text{Considering 9 lb force along the x-axis}\\\\\Rightarrow \alpha =\tan^{-1}\left( \dfrac{13\sin 38^{\circ}}{9+13\cos 38^{\circ}}\right)\\\\\Rightarrow \alpha =\tan^{-1}(\dfrac{8}{19.244})\\\\\Rightarrow \alpha=22.57^{\circ}

So, the resultant makes an angle of 22.57^{\circ} with 9 lb force

Angle made with 13 lb force is 38^{\circ}-22.57^{\circ}=15.43^{\circ}

7 0
3 years ago
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Mai mixed a batch of pink paint using 5 cups of red paint and 3 cups of white paint.
Advocard [28]

Answer:

no they are not

Step-by-step explanation:

priyas paint would be darker then mais paint because priya added an extra cup of red paint.

5 0
3 years ago
$800 is invested at a rate of 7%. What will be the total amount of the investment after 3 1/2 years?
torisob [31]

Answer:

A = $996.00

Step-by-step explanation:

(I = A - P = $196.00)

Equation:

A = P(1 + rt)

Where:

A = Total Accrued Amount (principal + interest)

P = Principal Amount

I = Interest Amount

r = Rate of Interest per year in decimal; r = R/100

R = Rate of Interest per year as a percent; R = r * 100

t = Time Period involved in months or years

From the base formula, A = P(1 + rt) derived from A = P + I and I = Prt so A = P + I = P + Prt = P(1 + rt)

Calculation:

First, converting R percent to r a decimal

r = R/100 = 7%/100 = 0.07 per year.

Solving our equation:

A = 800(1 + (0.07 × 3.5)) = 996

A = $996.00

The total amount accrued, principal plus interest, from simple interest on a principal of $800.00 at a rate of 7% per year for 3.5 years is $996.00.

4 0
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