Answer:
Step-by-step explanation:
d = r * t
Let the time at 59 miles / hour be t
59*t + 57* (4.5 - t) = 259.5 Remove the brackets
59*t + 256.5 - 57*t = 259.5 Combine the left
2t + 256.5 = 259.5 Subtract 228 from both sides
2t = 259.5 - 256.5 Combine
2t = 3 Divide by 2
t = 1.5
So he spent 1.5 hours going at 59 miles per hour
He spent 4.5 - 1.5 = 3 hours going 57 miles per hour.
First, you have to transform your numbers into proper fractions:
1 and 3/5 = (5+3)/5 = 8/5
1 and 1/5 = (5+1)/5 = 6/5
Therefore your arithmetic sequence is 2, 8/5, 6/5, ...
In an arithmetic sequence, the difference between a given term and the preceding one is equal to the difference between the <span>following </span>term and the given one. In your case:
d = 8/5 - 2 = (8-10)/5 = -2/5
As a prove: d = 6/5 - 8/5 = -2/5
Now, in order to find the 25th term you need to apply the formula:
an = a + (n - 1)d
where an is the number you are looking for, a is the first term, n is the term you are looking for and d is the distance.
Hence,
a₂₅ = 2 + (25-1)(-2/5) = 2 - 24·2/5 = 2 - 48/5 = (10-48)/5 = -38/5
Answer:
k=1
Step-by-step explanation:
-2k+10=64k-56
66=66k
k=1
Answer:
88°
Step-by-step explanation:
<h3>supplementary angle are angles that add up to 180°</h3>
r+92= 180
r= 180-92
r = 88°
Answer:
-5/4 or -1.25
Step-by-step explanation:
the points are (-6, -3) and (-2, -8)
the formula for slope is y2-y1/x2-x1
y2 is -8
y1 is -3
x2 is -2
x1 is -6
(-8+3)/(-2+6)
(-5)/(4)
-5/4 or -1.25
