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babymother [125]
2 years ago
14

Mark is in training for a bicycle race. He needs to ride 50 kilometers a week as part of his training. He rode 18.23 kilometers

on Monday and 13.94 kilometers on Wednesday.
How much more does Mark need to ride to complete his training for the week?

A. 4.29 km


B. 17.83 km


C. 31.77 km


D. 36.06 km
Mathematics
1 answer:
Nikitich [7]2 years ago
7 0

Answer:

The answer is B, 17.83 km.

Step-by-step explanation:

To solve this, we need to first find out how many kilometers he rode for both Monday and Wednesday. To do this, add 13.94 and 18.23 together. The answer is 32.17 kilometers. Since we know he has to ride 50 kilometers for the week, we can subtract 32.17 from 50 to find the answer. Note that I didn't attempt to convert 32.17 to kilometers since that was the unit of measure it was already in. Now, after you have done 50-32.17, you will get 17.83. Put this in kilometers. This gives us our answer, which is 17.83 km. Mark needs to ride for 17.83 more kilometers to complete his training for the week.

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the sum of the first 6 terms of a geometric series is 15624 and the common ratio is 5. what is the first term of the series?
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Answer:

first term a=4

Step-by-step explanation:

Sum of the first 6 terms S6 = 15624

common ratio r= 5

n= 6

first term a=?

Formula: S6= a(r^n-1)/r-1

15624 = a( 5^6-1)/5-1

15624 = a(15625-1)/4

15624= a( 15624)÷4

15624= 15624a÷4

Cross multiply

15624×4 = 15624a

62496 = 15624a

divide both sides by 15624

62496÷15624 = 15624a÷15624

4 = a

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Answer:

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Step-by-step explanation:

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Using the formula

Percentage Decrease = [ (Initial Value - Final Value) / |Initial Value| ] × 100

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Therefore, the percentage decrease = 0.9%

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