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A truck travels 110 miles in 2 hours. What is the average speed of the truck?

Speed is equal to the distance divided by the time, so this will be our calculation. In the question, the distance is given in miles and the time in hours, so the speed should be in miles per hour...

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Answered by Veer S. Maths tutor
9884 Views

x^2+10x+6=0 Find x

Quadratic formula. x=(b+-SQRT(b^2-4ac))/2a substitute. x=(10+-SQRT(100-416))/21 simplify. x=5+2SQRT(19)/2ORx=5-2SQRT(19)/2

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Answered by Arthur N. Maths tutor
2896 Views

Find the angle z in the following triangle.

< RIght angled triangle with sides of length 8mm, 5mm and h. Unknown angle z denoted.Use SOH CAH TOA in trigonometry to label the triangle accordingly, then find that 'tan' is to be used. Finally, use ...

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Answered by Abul Qasim A. Maths tutor
2995 Views

James is 7 years older than Kate. Sam is twice as old as James. The sum of their ages is 77. Find the ratio of Kate's age to James' age to Sam's age.

Kate's age = xJames age = x + 7 Sam's age = 2x + 14sum of age = 77 Therefore x + x+7 + 2x+14 = 774x + 21 = 77 4x = 56 x= 14 ratio = 14:21:42

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Answered by Danial B. Maths tutor
4699 Views

Given that the increase in the volume of a cube is given by dV/dt = t^3 + 5 (cm^3/s). The volume of the cube is initially at 5 cm^3. Find the volume of the cube at time t = 4.

  1. Identify that this is a rate of change question and set up the boundary conditions of V = 5 when t = 02) Take the dt to the right side and explain to integrate both sides of the equation to 'sum ove...
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Answered by Tommy W. Maths tutor
3332 Views

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