5280 feet = 1 mile
5280 × 60 = 316800
316800 feet per hour
3600 seconds = 1 hour
316800 feet per 3600 seconds
316800 ÷ 3600 = 88
88 feet per second
Recall that the slope or gradient of a line segment through two points is the ratio of the change in the <em>y</em> coordinate to the change in the <em>x</em> coordinate.
If the gradient is 1, then
1 = (-3 - 4) / (<em>a</em> - 3<em>a</em>)
Solve for <em>a</em> :
1 = -7 / (-2<em>a</em>)
1 = 7/(2<em>a</em>)
2<em>a</em> = 7
<em>a</em> = 7/2
Answer:
2, 5, 14, 41, 122
Step-by-step explanation:
Using the recursive rule with a₁ = 2
a₂ = 3a₁ - 1 = 3(2) - 1 = 6 - 1 = 5
a₃ = 3a₂ - 1 = 3(5) - 1 = 15 - 1 = 14
a₄ = 3a₃ - 1 = 3(14) - 1 = 42 - 1 = 41
a₅ = 3a₄ - 1 = 3(41) - 1 = 123 - 1 = 122
The first 5 terms are 2, 5, 14, 41, 122
Answer:
301
Step-by-step explanation:
Assuming the proportion holds over longer distances, the ratios can be written ...
peas/beans = p/133 = 43/19
p = 133(43/19) = 301
301 peas are equal to 133 beans.
Answer:
58cm
Step-by-step explanation:
15+14+5+8+6=48
missing side = 15-5 =10
48+10=58
