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Norma-Jean [14]
3 years ago
9

What is the smallest two-digit prime that is the sum of three (not necessarily distinct) positive perfect cubes?

Mathematics
2 answers:
love history [14]3 years ago
6 0

Answer:

17

Step-by-step explanation:

1+8+8=17\\1^3+2^3+2^3=17

MA_775_DIABLO [31]3 years ago
3 0

Answer:

17

Step-by-step explanation:

We begin by listing the smallest positive perfect cubes with two digits or fewer:

1, 8, 27, 64.

And now we sum them. 1+1+1 is too small; 1+1+8=10 which is not prime; but 1+8+8=17, which is indeed a prime. Hence the answer is 17

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Derek makes $8ban hour. Last week his paycheck was $280, before taxes. How many hours did he work last week?
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Answer:

35 hours that week

Step-by-step explanation:

280÷8=35

35 hours that week

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A crew will arrive in one week and begin filming a city for a movie. The mayor is desperate to clean the city streets before fil
Reptile [31]

Step-by-step explanation:

1 week = 7 days of 24 hours each = 7×24 = 168 hours.

the first team can do 1/700 of the total work per hour.

the second team can do 1/600 if the total work per hour.

if they work together, then 1/700 + 1/600 of the total work can be done per hour.

to add these 2 fractions we need to bring them to the same denominator. and that would be 4200 (LCM of 700 and 600).

1/700 + 1/600 = 6/4200 + 7/4200 = 13/4200

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how many hours will they need together to finish the job ?

well, how often does 13 fit into 4200 (as 4200/4200 is the complete job) ?

4200 / 13 = 323.0769231... hours

so, it will still take a little bit over 323 hours to clean all the streets.

but there are only 168 hours until the film crew starts.

so, no, there is not enough time.

4 0
2 years ago
Name the place value to which each number was rounded 0.982to 0.98
Kryger [21]
The Hundredths place because 2 is in the thousandths place. 5 or more change the score, 4 or less let it rest. 8 remained the same because 2 is less than 4.
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3 years ago
A teacher and a doctor each have 45 books. If 4/5 f the teacher's books and 2/3 of the doctor's books are novels, how many more
Anarel [89]

Answer:

3/5

Step-by-step explanation:

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