Answer:
Step-by-step explanation:
6 in to 13 ft = 9 in to x ft
6 / 13 = 9 / x.....cross multiply because this is a proportion
(6)(x) = (13)(9)
6x = 117
x = 117/6
x = 19.5 (or 19 1/2) ft <====
To solve part a, do the following.
49.84-44.50=<span>5.34
5.34/44.50=x/100
after solving the proportion, x would be equal to 12.
To solve part b, do the following.
50+12=62
</span>To solve part c, do the following.
The amount of the tip is:
x/<span>57.50=62/100
which is </span><span>35.65
The total bill is:
35.65+</span>57.50=<span>93.15</span>
75 minutes which is 1 hour and 15 minutes (:
Answer:
Step-by-step explanation:
Subtract 7 from both sides.
Simplify.
Divide both sides by 5.
Simplify.
Decimal form:
0.2
Let the five terms be: a, a + d, a + 2d, a + 3d, a + 4d, then
a + a + d + a + 2d + a + 3d + a + 4d = 5a + 15d = 40
i.e. a + 3d = 8
Also, (a + 2d)(a + 3d)(a + 4d) = 224
(a + 3d - d)(a + 3d)(a + 3d + d) = 224
(8 - d)(8)(8 + d) = 224
(8 - d)(8 + d) = 224/8 = 28
64 - d^2 = 28
d^2 = 64 - 28 = 36
d = sqrt(36) = 6
But a + 3d = 8
a + 3(6) = 8
a = 8 - 18 = -10
Therefore, the term of the sequence is: -10, -10 + 6, -10 + 2(6), -10 + 3(6), -10 + 4(6)
= -10, -4, -10 + 12, -10 + 18, -10 + 24
= -10, -4, 2, 8, 14
