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topjm [15]
4 years ago
13

Two trains travel a 160 km track each day. The express travels 10 km h^-1 faster and take 30 minutes less time than the normal t

rain. Find the speed of the express.

Mathematics
1 answer:
aniked [119]4 years ago
4 0
Let s = the speed of the slower train in km/hrs+10 = the speed of the faster train in km/hrLet t = time in hrs for the slower train to go 160 kmt-5 = time in hrs for faster train to go 160 km---------------Slower train:(1)
160=s.t

Faster train:(2) 160=(s+10) .(t-.5)From (1)(1) t=160/s
use the relations given in following screenshot and then use quadratic equation.

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How to solve this please help me 2/3×1/2(3/4÷1 2/5)​
Damm [24]

Answer:

0.624999999(repeating) so i would round it to 0.625 or 0.63 (both work and are rounded, its really up to wherever your teacher wants you to round it to if they want you to round it)

Step-by-step explanation:

2/3 x 1/2 (3/4 ÷ 2/5)=

simplify the parentheses (3/4 ÷ 2/5) to 1.875

2/3 x 1/2 x 1.875=

simplify 2/3 x 1/2 to 0.333333(repeating)

0.3333333333 x 1.875 = 0.6249999999(repeating)

round it to 0.625 or 0.63 (which ever one your teacher wants you to round it to)

3 0
4 years ago
The rate of change in temperature if it drops 29 degrees over 8 hours.
LenKa [72]

Answer:

dk dc

Step-by-step explanation:

7 0
4 years ago
Which sentence is correct?<br> A. -4 &gt; 3<br> B. -4&lt; -6<br> C. -4 &gt; -7<br> D. -5 &gt; -4
prisoha [69]

Answer:

C. -4 > -7

Step-by-step explanation:

answer= option C

3 0
3 years ago
Read 2 more answers
If f(x)=x squared-2x and g(x) = 6x+4 for which is a value of x does (f+g)(x) =0
ra1l [238]

Answer:

For x = -2

Step-by-step explanation:

Solving a quadratic equation:

Given a second order polynomial expressed by the following equation:

ax^{2} + bx + c, a\neq0.

This polynomial has roots x_{1}, x_{2} such that ax^{2} + bx + c = a(x - x_{1})*(x - x_{2}), given by the following formulas:

x_{1} = \frac{-b + \sqrt{\Delta}}{2*a}

x_{2} = \frac{-b - \sqrt{\Delta}}{2*a}

\Delta = b^{2} - 4ac

In this question:

f(x) = x^2 - 2x

g(x) = 6x + 4

f(x) + g(x) = (f+g)(x)  = x^2 - 2x + 6x + 4 = x^2 + 4x + 4

Which is a value of x does (f+g)(x) =0

x^2 + 4x + 4

Quadratic equation with a = 1, b = 4, c = 4

So

\Delta = 4^{2} - 4*1*4 = 0

x_{1} = \frac{-4 + \sqrt{0}}{2} = -2

x_{2} = \frac{-4 - \sqrt{0}}{2} = -2

For x = -2

7 0
3 years ago
What are the intercepts of the graph (0,7)(9,0)(-9,0)
Rufina [12.5K]
The y intercepts are 9 and -9 because the y coordinate is zero so they would be plotted ob the y axis and 7 is an x intercept because the x coordinate in the ordered pair is zero.
3 0
4 years ago
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