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3 years ago

What is 2 3/5 minus 1 1/7

Mathematics

2 answers:

docker41 [41]3 years ago

5 0

2 3/5-(1 1/7)= 51/35
= 1 16/35

tia_tia [17]3 years ago

4 0

Exact form: 51/35


Mixed Number Form:
1 16/35

H3Y was correct.

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Tourists covered 640 km for a 4 hour ride by car and a 7 hour ride by train. What is the speed of the train, if it is 5 km/h gre

gavmur [86]

Answer:

60 km/h

Step-by-step explanation:

Let us use the x to represent the speed of the car since it is the smaller value.

Then, the distance covered by the car is 4x since was going 4 kph.

The distance covered by the train is (x+5) times 7 or 7x+35.

We know that the total distance covered is 640 km.

Using this information, we can set up the equation 4x+7x+35=640.

By subtracting both sides by 35 and combining the x's, we get a new equation of 11x=605.

After this, we divide both sides by 11 and get x=55.

Lastly, we add 5 to 55 since the train is 5 km faster than the car and that x stood for the car.

Train=60 km/h

5 0

3 years ago

Which represents the solution set of 5(x+5) < 857

____ [38]

Answer:

Step-by-step explanation:

x < 12

8 0

3 years ago

52% of ______ days is 13 days.

abruzzese [7]

'of' in mathematics means multiplication
'is' in mathematics means equal

52% * x = 13

52/100 * x = 13

0.52x = 13

x = 13/0.52

x = 25

52% of 25 days is 13 days.

8 0

3 years ago

Problem 1: Use the Laplace Transforms to solve:

Leokris [45]

Transforming the ODE yields

$L\left\{y'' - y'\right\} = L\left\{e^{-3t}\right\}$

$(s^2 Y(s) - sy(0) - y'(0)) - (s Y(s) - y(0)) = \dfrac1{s+3}$

$(s^2 - s) Y(s) = \dfrac1{s+3}$

$Y(s) = \dfrac1{(s^2 - s)(s+3)} = \dfrac1{s(s-1)(s+3)}$

Partial fractions:

$Y(s) = \dfrac as + \dfrac b{s-1} + \dfrac c{s+3}$

$\implies 1 = a(s-1)(s+3) + b s(s+3) + c s(s - 1)$

$\implies 1 = -3 a + (2 a + 3 b - c) s + (a + b + c) s^2$

$\implies \begin{cases}-3a=1 \\ 2a+3b-c=0 \\ a+b+c=0\end{cases} \implies a=-\dfrac13, b=\dfrac14, c=\dfrac1{12}$

$\implies Y(s) = -\dfrac13 \times \dfrac1s + \dfrac14 \times \dfrac1{s-1} + \dfrac1{12} \times \dfrac1{s+3}$

Take the inverse transform:

$\boxed{y(t) = -\dfrac13 + \dfrac{e^t}4 + \dfrac{e^{-3t}}{12}}$

3 0

2 years ago

F (x)=(3x+1)(x^-3x-6)

lina2011 [118]

Replace f(x)f(x) with yy.y=3x−6y=3x-6Interchange the variables.x=3y−6x=3y-6Solve for yy..y=2+x3y=2+x3Solve for yy and replace with f−1(x)f-1(x).
f−1(x)=2+x3

3 0

3 years ago