9514 1404 393
Answer:
b. They are at a speed of 30 mph when time begins.
Step-by-step explanation:
The y-axis represents time zero, when time begins. The curve intercepts the y-axis at y=30. Y-values on the graph represent speed in miles per hour (mph), so a y-value of 30 at the point on the y-axis represents ...
a speed of 30 mph when time begins
17(k + 6) > 3(5k + 4)
17(k) + 17(6) > 3(5k) + 3(4)
17k + 102 > 15k + 12
- 17k - 15k
2k + 102 > 12
- 102 - 102
2k > -90
2 2
k > -45
Adults = x
Senior Citizens = y
x + y = 529......1
25x + 15y = 9745...2
Multiply (1) by 15
15x + 15y = 7935....3
25x + 15y = 9745....2
Subtract 3 from 2
10x = 1810
x = 181
Substitute x = 181 in
Eq (1)
x + y = 529
181 + y = 529
y = 529 - 181
y = 348
181 adults and 348 Senior Citizens
Hope this helps.
Answer:
a(10) = 3^9 = 19683
Step-by-step explanation:
In this sequence each new term is equal to 3 times the previous term. Thus, 3 is the common ratio. The first term is 1.
The general formula for the nth term of a geometric sequence i
a(n) = a(1)*r^(n -1), where r is the common ratio.
Here, a(n) = 1*3^(n - 1), and so
the 10th term is
a(10) = 1*3^(10 - 1), or
a(10) = 3^9 = 19683
Answer:
option B
6
Step-by-step explanation:
Given in the diagram two triangles ABC and DEF,
length of the side AB = 2
length of the side DE = 12
Scale factor of triangle ABC to triangle DEF, is the scale factor of side AB to DE
AB : DE
2 : 12
1 : 12/2
1 : 6
this means triangle DEF is 6 times larger than triangle ABC
or
triangle ABC is 1/6 of triangle DEF
