SocialTwist Tell-a-Friend

Ask a Question? Get an Answer!


Question: Which statement leads you through to estimate mentally the quotient of 11750 to the nearest tenth?
I. Use a calculator.
II. Check for numbers that multiply with 50 to give 117.
III. The fraction is easily convertible to a fraction with a denominator of 100.


A ) III
B ) I and II
C ) II
D ) I

Steps to derive

1 Statement I is ruled out, as we need to estimate the quotient mentally.

2 Statement II is about trial and error method. You keep trying different numbers until you find the relevant one, and sometimes you may not find one.

3 As suggested in statement III, we shall convert the fraction 11750 into 234100 just by multiplying its numerator and denominator by 2.

4 234100 = 2.34 2.3, to the nearest tenth.

5 Among the statements given, statement III would lead us through the estimation.



Hence the right answer is Option A

Click Here To Go Back


Few Other Questions -

  • What is the differential for the function y = (4x - 8)x2-8...
  • What is the differential for the function y = x+9x2-12?..
  • Evaluate the function (fg)(- 15) when f(x) = |x + 3| and g(x) = 1x...
  • Find the equation of the line in slope - point form with slope - 3 and passes through the ..
  • Find the differential of the function y = e3x sin 4x...
  • Write the equation of a line in slope - point form which passes through the points (- 12, ..
  • Find the slope of the curve y = x5x+8 at the point x = 2...
  • Find the x - intercept of the line y = 5x + 30...
  • Find the x - intercept of the equation of a line y = 3x - 13...
  • Find the slope of the curve y = 6x2 + 7x at x = 3...
  • Find the slope of the curve y = 6x3 at x = 2a...
  • Find the y - intercept of the line 3x - 2y = 17...
  • Find the slope of the curve y = 6x+33x2+6x+4 at x = 1...
  • Find the y - intercept of the line y = 7x - 19...
  • Use intercepts to identify the graph of the equation 3x + 2y = 18...
  • Evaluate the function (fg)(- 2), if f(x) = x2 + 5 and g(x) = - x - 7...
  • Find the linear approximation to the function f(x) = 5x2 - 6x + 7 near the point a = - 3...
  • Find the linear approximation to the function f(x) = 5x8x+9 near the point a = 0...
  • Find the linear approximation to the function f(x) = 11+e0.2x near the point a = 0...
  • Find the linear approximation to the function f(x) = ln (9 + x) near the point a = 2...
  • Which of the following is the linear approximation to the function f(x) = 2x + 3 near the ..
  • Find the arc length of the curve x = t2, y = t3 for 1 ≤ t ≤ 2...
  • Use f(x) = x3 to approximate the value of 283...
  • Evaluate the function (f2g)(1) when f(x) = - x3 and g(x) = (x + 2)2...
  • Find the function (f g)(6) when f(x) = 2x2 + 5x + 7 and g(x) = x+3...
  • Determine the length of the parametric curve whose equations are x = 3sin t, y = 3cos t, 0..
  • Find the value of the function (f + g)2(x), at x = 12 when f(x) = x2 and g(x) = - 6x + 5...
  • Find the length of the parametric curve x = 5sin 3t, y = 5cos 3t, 0 ≤ t ≤ 2π...
  • Use intercepts to choose the graph of the equation 3x - 4y - 12 = 0...
  • Use f(x) = ln (x) to approximate the value of ln (5.07)...
  • Use f(x) = 3x to approximate the value of 33.3...
  • Find the arc length of the curve defined by x = cos3 t, y = sin3 t, 0 ≤ t ≤ 2π...
  • Evaluate the function (f + 7)(- 7) when f(x) = ex...
  • Use f(x) = sin x to approximate the value of sin (3.14). [Take π = 3.1415926]..
  • Find the slope of the curve y = 98x at x = 4...
  • Use f(x) = Tan- 1 x to approximate the value of Tan- 1 (1.09). [Take π = 3.1415926]..
  • Write the intercepts of the line shown in the graph...
  • Find the arc length of the parametric curve for x = t - sin t, y = 1 - cos t, 0 ≤ t &le..
  • Use horizontal line test to determine whether the graph of the function represents a one-t..
  • Find the arc length of the curve between 0 and 1 for x = 3 - 3t, y = 4t...
  • Find the slope of the curve y = 7x2 at x = 4...
  • Which of the following is/are true for the graph?..
  • Find the arc length of the curve x = t2, y = 4t3 - 1 for - 1 ≤ t ≤ 1...
  • Find the slope of the curve y = e2x + 5 at x = 3...
  • Use horizontal line test to determine whether the graph of the function represents a one-t..
  • Find the x and y - intercepts of the equation - 3x + (12) y = - 4...
  • Find the arc length of the parametric curve for x = 1 - sin t, y = 2 + cos t, - π2 ..
  • Use the vertical line test to determine whether the graph represents a function...
  • Find the slope of the curve y = 4x+56x+7 at x = 2...
  • Find the x - and y - intercepts of the equation (- 56)x + 30y = 15...
  • Use intercepts to choose the graph of the equation 5 = - 3x - 4y...
  • Find the slope of the curve y = x + 25 at x = 3...
  • Determine whether the graph of the function represents a one-to-one function...
  • Find the slope of the curve y = ln(3x + 11) at x = 3...
  • Calculate the arc length of the curve on [- 12, 13] for x = sin- 1 t, y = ln 1-t2...
  • Find the arc length of the curve defined by the parametric equations x = t, y = 4-t2, 0 &..
  • Use horizontal line test to determine whether the graph of the function represents a one-t..
  • Use the horizontal line test to determine whether the function shown in the graph has an i..
  • Determine whether the graph of the function has an inverse...
  • Which of the following is/are true for the graph?..
  • Given f(x) = 7 + 5x - 2x2 and g(x) = 2x + 3, evaluate (f o g)(x)...
  • Given f(x) = 5x2 - 6x and g(x) = 8x - 1, evaluate (f o g)(x)...
  • Find the average value of y = 23x3/2+1 on [0, 1]...
  • Find the average value of y = 8x3 - x2 + 2 on [- 1, 0]...
  • Find the length of the arc defined by the curve having parametric equations x = t, y = t3/..
  • Find the slope and y - intercept of the line 4x + 2y - 8 = 0...
  • Write the equation of the line with slope 3 and passes through the point (2, - 4)...
  • Find the arc length of the parametric curve defined by x = t, y = 6(t - 3)3/2, w..
  • Given f (x) = x+1, evaluate (f o f)(8)...
  • What is the y-intercept of the line y = 14x + 35?..
  • Write the equation in slope - intercept form. - 3x - 2y = 8..
  • Given h(x) = x2 - 9, evaluate (h o h)(13)...
  • Write the equation of the line in slope-intercept form whose slope is - 32, cuts the y - a..
  • Given g(x) = 4x - 3 and h(x) = x5 + 25, evaluate (g o h)(- 3)...
  • Find the arc length of the curve defined by x = e2tsin 2t, y = e2tcos 2t for 0 ≤ t ≤..
  • Jim, a sales person for computer peripherals, whose sale ($) of the product and the commis..
  • Given f(x) = 2x4 + 5 and g(x) = x2 - 7, evaluate (g o f)(0)...
  • Find the arc length of the parametric curve defined by x = et - t, y = 4et2, 0 &..
  • What is the equation of the line passing through the points (- 4, 5) and (2, 0) in slope -..
  • Find the arc length of the curve defined by x = 4cos3 t, y = 4sin3 t, 0 ≤ t ≤ π3..
  • Write the equation of the line shown in the graph in slope - intercept form...
  • Given g(x) = x3 and h(x) = 5x, evaluate (h o g)(- 2)...
  • Find slope (m) and y - intercept (b) of the line shown in the graph...
  • Eliminate the parameter t from the parametric equations.x = t2 + t, y = 2t - 1..
  • Given f (x) = 7x - k and h(x) = x+94, find out for what value of k is ( f o h )(x) = ( h o..
  • John purchased a car by paying down $250 and agreed to pay $50 a month for 6 years. Let x ..
  • Given h(x) = xx+1, evaluate (h o h o h)(5)...
  • Eliminate the parameter t from the parametric equations.x = 3cos 2t, y = 1 + cos2 2t, 0 &l..
  • Eliminate the parameter t from the parametric equations.x = 5cos 3t, y = 2sin 3t, 0 ≤ t..
  • What is the average value of y = - sin 2x + cos x on [0, 2π]?..
  • Eliminate the parameter t from the parametric equations.x = et, y = e3t..
  • Which of the following is true for f (x) = 9x and h(x) = 2-xx2?..
  • Find the average value of y = (x - 1)2 on [0, 1]...
  • Find the parametric equations of the circle with center (5, 2) and radius 3...
  • Find the domain of the function, f(x) = - -4x+5...
  • Which of the following is the average value of y = ex - 2x on [2, 4]?..
  • Find the domain of the function 16-x24...
  • Find the average value of y = x36+12x on [1, 2]...
  • If the average value of y = 2x + 1 on [k + 1, k + 2] is 16, then find the value of k...
  • Find the domain of the function, f(x) = x+6x2+10x+9...