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Step-by-step explanation:
Answer:
The number of deserters is 34.
Step-by-step explanation:
We have to calculate the number of desertors in a group of 1500 soldiers.
The sergeant divides in groups of different numbers and count the lefts over.
If he divide in groups of 5, he has on left over. The amount of soldiers grouped has to end in 5 or 0, so the total amount of soldiers has to end in 1 or 6.
If he divide in groups of 7, there are three left over. If we take 3, the number of soldiers gruoped in 7 has to end in 8 or 3. The only numbers bigger than 1400 that end in 8 or 3 and have 7 as common divider are 1428 and 1463.
If we add the 3 soldiers left over, we have 1431 and 1466 as the only possible amount of soldiers applying to the two conditions stated until now.
If he divide in groups of 11, there are three left over. We can test with the 2 numbers we stay:

As only 1466 gives a possible result (no decimals), this is the amount of soldiers left.
The deserters are 34:

Answer:
A) 40
B) length = 4.275 km; not quite true. See below for explanation.
Step-by-step explanation:
A) Your calculator can tell you the ratio ...
(national pennies)/(local pennies) = (8×10⁶)/(2×10⁵)
= (8/2)×10⁶⁻⁵ = 4×10¹ = 40
The national drive collected 40 times as many pennies as the Valley Stream Central goal.
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B) Multiplying the number of pennies by the diameter of each will tell the length of the line of pennies. That length can be compared to the 5 km distance to determine if the reporter's statement is true. (It is <em>not</em> true.)
length of string = (length of penny) × (number of pennies)
= (19×10⁻⁶ km) × (2.25×10⁵) = 42.75×10⁻¹ km = 4.275 km
The length of the pennies laid side-to-side is less than 5.0 km. The reporter's statement is not true.
_____
All scientific and graphing calculators and many 4-function calculators will let you enter numbers in scientific notation.