Selected Answers and Solutions R13Selected Answers and Solutions
For Homework Help, go to Hotmath.com- always; Sample answer: All the cars would have
4 tires. 17. D 19. G
Pages 278–280 Lesson 5-1D
11 _1.5 6 = _^10 p^
1.5p = 10(6) Find the cross products.
1.5p = 60 Multiply.
1.5p
_1.5 = _1.5^60 Divide each side by 1.5.
p = 40 Simplify.- 16.4 5. m = 9.5h; $19; $42.75 7. 6 9. 3.5 11. 3.75
- 13.5 15. 48314 = 600 x ; about 17.4 gal 17. 54 = 30 x ;
24 people
1919 shoulder width height →→^ 16.2_ 64 = _18.5h^ ←← shoulder width height
16.2h = 18.5(64) Find the cross products.
16.2h = 1,184 Multiply.
16.2_16.2h = _1,18416.2 Divide each side by 16.2.
h ≈ 73 inches Simplify.
21a. 81.9 21b. 144.7 21c. 110.2 21d. 48.0 - 256 c; Sample answer: The ratio of cups of mix
to cups of water is 1 : 8, which means that the
proportion 81 = ^32 x is true and can be solved. 25. 18 - Sample answer: By writing an equation to
represent a proportional relationship, you can use
this equation to fi nd any other similar quantities. The
result is one calculation involving multiplication,
rather than the two calculations that would result
by writing and solving a new proportion. 29. G - Yes; the constant rate of change is _^151 or $15 per
hour. 33. 500 kB/min 35. 7.2 m/s
Pages 282–283 Lesson 5-2A PSI - Sample answer: It helps to visualize the parts in
relation to the whole. 3. 1,536 tiles
55 If Mr. Sanchez can only change the width of his
fl ower bed, then the additional 12 meters needs to
be split up between the two sides that are the
widths. Therefore, add half of 12, or 6 meters to the
width. This changes the width to 11 meters. - 16 9. 100 lb 11.
Pages 287–290 Lesson 5-2B
11 Use a centimeter ruler to fi nd the distance
between the two cities. The distance between the
two cities on the map is 2 centimeters. Write and
solve a proportion using the scale. Let d represent
the actual distance between the cities.actualmap^ → → 1 cm (^) 25 km = 2 cm d km ←← map actual
1 × d = 2 × 25
d = 50
So, the actual distance between Carlsbad and
Artesia is 50 kilometers.
- 130 km 5a. 16 ^23 in. 5b. 1 ^13 in. 7. _^23
- about 10.3 inches wide 11. 81 mi 13. 37.8 mi
1515 0.5 cm_1.5 m^ = _36 mx^
0.5 · 36 = 1.5 · x
18 = 1.5x
_1.5^18 = _1.51.5x
12 = x
The model is 12 cm tall.
To fi nd the scale factor, fi rst convert cm to m:
0.5 cm = 0.005 m. Next make a ratio and simplify.
_0.005
1.5^ =
_^5
1,500^ or_^1
300- 11 43 in.; 12 19. 109 83 ft 21a. ^13
21b. Height of Thomas
Jefferson (feet) 123 4 5 6
Height of Statue (feet) 3 6 9 12 15 18
21c. 3 x 21d. about 6 _ 31 ft or 6 ft 4 in.
2323 Count to fi nd that it is 4 units from the lake to
the cabin. To fi nd the actual distance, use the key
that states 1 unit = 75 yards to set up a proportion.
Then solve the proportion.
_1 unit
75 yards^ =
_4 units
x yards^ Set up the proportion.
1 · x = 75 · 4 Find the cross products.
x = 300 Simplify.
The children will travel 300 yards from the lake to
the cabin.- Sample answer: The scale is the ratio comparing
the measurements, including the units, on the model
to the measurements on the actual fi gure. Once the
units have been converted to the same unit, the
scale factor is the ratio written without units as a
fraction in simplest form. For example, if the scale
of the model to the actual fi gure is 1 in. = 4.5 ft, then
the scale factor would be 4.5^1 × 12 or 541. - D 29. F 31. 5 ft 33. 25 35. 63 37. - 5
Pages 296–299 Lesson 5-3A- rectangle PQRS 3. 45 mm
55 Find which triangle below is similar to FGH.
Triangle PMN Triangle CAB
MP_
GF^ =
(^1)
2
AC
GF^ =
^4
2 or 2
PN
FH^ =
^4
5
CB
FH^ =
(^10) _
5 or 2
not similar similar
Triangle CAB is similar to triangle FGH.
- 25 mi 9. _^3 x = _4.5 18 ; 12 ft
1111 What is the total distance the kids walked from
when they left the lake? What will be their total
distance by the time they return to the cabin for bed?
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