Answer:
Let the train's speed be denoted as x km/h.
Scenario 1:
Distance = 288 km
Speed = x km/h
Time = Distance divided by Speed
= 288/x hours
Scenario 2:
Distance = 288 km
Speed = (x + 4) km/h
Time = 288/(x + 4) hours
As 288/x is greater than 288/(x + 4)
288/x - 288/(x + 4) = 1
288[1/x - 1/(x + 4)] = 1
[x + 4 - x] / [x(x + 4)] = 1/288
[4 / (x^2 + 4x)] = 1/288
x² + 4x = 1152
x² + 4x - 1152 = 0
x² + 36x - 32x - 1152 = 0
x(x + 36) - 32(x + 36) = 0
(x + 36)(x - 32) = 0
x + 36 = 0, x - 32 = 0
x = -36, x = 32
x = -36 is not valid as speed cannot be negative.
Conclusively, the train's speed = 32 km/h
Answer:
a) 0.216
b) 0.784
c) 0.288
d) 0.352
e) 0.784
Step-by-step explanation:
The steps for solving this are provided in an image.
Question 1
Total budget sums up to 180 + 475 + 15 + 50 + 65 + 25 + 150 + 30 = $990.
Actual expenditure amounts to 182 + 475 + 12 + 65 + 68 + 12.50 + 150 + 36 = $1000.5.
Mae Green surpassed her designated budget.
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Question 2
Eleanor:
Earned = 380.48
Spent = 16.50
Peter:
Earned = 120 + 13.65 + 100 = 233.65.
Combined total income = 233.65 + 380.48 - 16.50 = 597.63.
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Question 3
Aggregate expenditure = 540 + 48.55 + 34.15 + 12.80 + 18.95 + 38.60 + 2 + 6.50 = 701.55.
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Question 4
Marie's updated balance = 250.65 - [21.95+48.50+75.60] + 55 = $159.50.
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Question 5
[235/825] × 100 = 28.48%
<span><span>Response
26 1/2 does not correspond to an integer but can be rounded to 27, which is an integer.
Clarification
An integer comprises whole numbers only. It does not include fractions.
253/2=25+3/2=25+1 1/2=26 1/2
</span><span>26 1/2 does not correspond to an integer but can be rounded to 27, which is an integer.
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