Answer:
From the information given
x is time for which she ran at speed of 6mi/h and
y is time for which she biked at speed of 12.5 mi/h
total time = 3.5 h
total distance = 34 mi
so
6x + 12.5y = 34 and
x + y = 3.5
x = 3.5 - y
6 ( 3.5 - y) + y = 34
6.5y = 13 which gives
y = 2 and this
x = 1.5
so suze ran for 1.5 h and biked for 2 h
CHECK
speed of run X time of run + speed of biking x time of biking must be = total distance covered
6 × 1.5 + 12.5 × 2 = 9 + 25= 34 mi
which is true
Well 3 times 52 weeks in a year. Equals 156. He will not have enough money by the end of the year.
3*52=156
Answer:
15
Step-by-step explanation:
<span>−13b=9
divide both sides by -13
</span><span>−13b/-13 =9/-13
simplify
b = -9/13</span>
Answer: the first term of the series is 128
Step-by-step explanation:
In a geometric sequence, the consecutive terms differ by a common ratio. The formula for determining the sum of n terms, Sn of a geometric sequence is expressed as
Sn = a(1 - r^n)/(1 - r)
Where
n represents the number of term in the sequence.
a represents the first term in the sequence.
r represents the common ratio.
From the information given,
r = 1/4 = 0.25
n = 4
S4 = 170
Therefore, the expression for the sum of the 4 terms, S4 is
170 = a(1 - 0.25^4)/(1 - 0.25)
170 = a(1 - 0.00390625)/(1 - 0.25)
170 = a(0.99609375)/(0.75)
170 = 1.328125a
a = 170/1.328125
a = 128
