Solve each problem. Round to the nearest tenth, if necessary. See Problem 4.- Travel A vehicle travels o n a highw ay at a rate of 65 m i/h. How long does it take the
vehicle to travel 25 mi? - Baseball You can use th e form ula a = § to find th e batting average a of a b atter
w ho h as h hits in n tim es at bat. Solve th e form ula for h. If a batter has a batting
average of .290 an d has b e e n at b at 300 times, how m an y hits does th e b atter have? - Construction Bricklayers use th e form ula n = 7(h to estim ate th e n u m b e r n
of bricks n e e d e d to build a wall of length t an d h eight h, w here € a n d h are in
feet. Solve the form ula for h. Estim ate th e height of a wall 28 ft long th a t requires
1568 bricks.
Q Apply Solve each equation for the given variable.
- 2m — n x = x + 4 for x
- V = ^ ir r2h for h
37. §- 1 = ^forx
40. A= (-^ jb fo r g
38. ax + 2xy = 14 f o r y
41. 2 ( x + a) = Ab for a4 2. T h in k A b o u t a Plan The interior angles of a polygon are th e angles form ed inside a
polygon by two adjacent sides. The sum S of th e m easu res of th e interior angles of a
polygon with n sides can be found using th e form ula S = 180(n - 2). The sum of a
polygon’s interior angle m easu res is 1260°. H ow m any sides does th e polygon have?- W hat inform ation are you given in th e problem?
- W hat variable do you n e e d to solve for in th e form ula?
- Weather Polar stratospheric clouds are colorful clouds th a t form
w h en tem p eratu res fall below -7 8 °C. W hat is this tem p eratu re
in degrees Fahrenheit? - Science The energy £ of a m oving object is called its
kinetic energy. It is calculated using th e form ula E = \ m v 2,
where m is th e object's m ass in kilogram s a n d v is its
speed in m eters p er second. The u n its of kinetic energy are
kilograms • meters*, a b b r e v i a t e d a s k g • m 2 /s 2
second2
a. Solve the given form ula for m.
b. W hat is th e m ass of a n object m oving at 10 m /s w ith a kinetic
energy of 2500 kg • m 2 /s2?
4 5. E rro r A n alys is D escribe a n d correct th e error m ad e in solving th e literal
eq u a tio n at th e right for n.- Geometry The form ula for th e volum e of a cylinder is V = ttr2h, where
r is th e cylinder’s radius a n d h is its height. Solve th e eq u a tio n for h. W hat
is th e h eight of a cylinder w ith volum e 502.4 cm 3 an d radius 4 cm? Use
3.14 for tt. - Density The density of an object is calculated using th e form ula D = y, where m
is th e object's m ass a n d h i s its volum e. Gold h as a density of 19.3 g /c m 3. W hat is
the volum e of a n a m o u n t of gold th a t has a m ass of 96.5 g?
| Lesso n 2- 5 Lit eral Eq u at i o n s an d Fo rm u las 113