Find the harmonic mean between the numbers 3/8 and 4.35/3424/3542/3535/24The terms of a sum may be grouped in any manner without affecting the result. this is law known as:Commutative LawDistributive LawAssociative LawReflexive LawA number is divided into two parts such that when the greater part is divided bythe smaller part, the quotient is 3, and the remainder is 5. Find the smaller number if the sum of the two numbers is 37.8292216Mary was four times as old as Lea ten years ago. If she is now twice as old as Lea, how old is Mary.25403015The sum of three succeeding odd integers is 75. The largest integer is25292731A ship propelled to move at 25 mi/ hr in still water, travels 4.2 miles upstreamin the same time that it can travel 5.8 miles downstream. Find the speed of thestream.46810Joses rate of doing work three times as fast as Bong. On given day Jose and Bongwork together for 4 hours then Bong was called away and Jose finishes the rest of the job in 2 hours. How long would it take Bong to do the complete job alone?18221631hrs.hrs.hrs.hrs.The length of a rectangle is 3 times its width. If the width of the rectangle is5 inches, what is the rectangle s area, in square inches?15203075For all x >2, (2x2 + 2x - 12) / (x - 2) simplifies to2(x2(xx +2(x+ 3)- 2)3+ 3)(x - 2)If the hypotenuse of a right triangle is 10 inches long and one of its legs is 5inches long, how long is the other leg?5557.5In the standard (x,y) coordinate plane, the graph of (x + 3)2 + (y + 5)2 = 16 isa circle. What is the circumference of the circle, expressed in coordinate units?4538How many solutions are there to the equation x2 - 7 = 0?1247A circle with center (4,-5) is tangent to the y-axis in the standard (x,y) coordinate lane. What is the radius of this circle?451625Angle A is an acute angle and sin(A) = 11/14. What is the value of cos(A)?3 / 1453 / 14(3/14)5/14What are the values of a and b, if any, where - a|b + 4| > 0?a > 0 and b 4a < 0 and b -4a < 0 and b -4a < 0 and b -4In a shiment of televisions, 1/50 of the televisions are defective. What is theratio of defective to non defective televisions?1/501/4949/150/1Which of the following is divisible (with no remainder) by 4?214133510056322569952217A article travels 1 x 106 meters er second in a straight line for 5 x 10-6 seconds. How many meters has it traveled?4567The length of sides AB and AC in the triangle below are equal. What is the measure of angleA if angle C is 70?705540110ABC is an equilateral triangle. AH is erendicular to BC and has a length of 23inches. What is the area, in square inches, of triangle ABC.33234383Find the value of k in the quadratic equation (2k + 2) x2 + (4 4k) x + k 2 = 0 so that the roots are recirocal of each other.42-4-2Solve for x if 8y = 3x - 118/3) y + 11(8/3) y - 11(8y - 11)/3(8y + 11)/3When grahed in the (x, y) coordinate lane, at what oint do the lines 2x + 3y= 5 and x = -2 intersect?(-2, 0)(-2, 5)(0, 5)(-2, 3)The area of a traezoid is 0.5h(b1 + b2), where h is the altitude, and b1 and b2are the lengths of the arallel bases. If a traezoid has an alitude of 15 inches, an area of 105 square inches, and one of the bases 22 inches, what is the erimeter, in inches, of the traezoid?8456030If you drove at average seed of 66 miles er hour, what distance, in miles, didyou drive in 99 minutes?65.34108.915090.45If x and y are any real numbers such that 0 < x < 2 < y , which of these must betrue?x0x0