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Elenna [48]
2 years ago
5

Let n be a natural number such that n + 1, n + 3, n + 7, and n + 9 are prime numbers. Additionally, the numbers n + 31, n + 33,

n + 37 and n + 39 are also prime numbers. Determine the remainder after dividing n by 210.
Mathematics
1 answer:
Step2247 [10]2 years ago
4 0

Answer:

"Vital Records | Order Vital Certificates Online - VitalChek" https://www.vitalchek.com/certificate-selection

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If fx) is a linear function, which statement must be true?
Hitman42 [59]

Answer:

B. f(x) has no x2-term.

9 0
3 years ago
Length of a rectangle is 4 inches less than twice it’s width of the perimeter is 70 inches what’s the dimensions?
Vedmedyk [2.9K]
W= width
L= length= 2W-4
Perimeter= 70

FIND WIDTH:
P= 2(L + W)
P= 2L + 2W
substitute 2W-4 for L
70= 2(2W-4) + 2W
multiply 2 by all in parentheses
70= (2*2W) + (2*-4) + 2W
70= 4W - 8 + 2W
combine like terms
70= 6W - 8
add 8 to both sides
78= 6W
divide both sides by 6
13= W

FIND LENGTH:
substitute w=13 to find width
L= 2W-4
L= 2(13)-4
L= 26-4
L= 22

CHECK:
P= 2(L + W)
70= 2(22 + 13)
70= (2*22) + 2(13)
70= 44 + 26
70= 70

ANSWER:
length= 22 inches
width= 13 inches

Hope this helps! :)
3 0
3 years ago
What ratio forms a proportion with 14/42?<br> A. 1/4<br> B. 7/21<br> C. 12/40<br> D. 28/80
koban [17]

Hey there!

"What ratio forms a proportion with \frac{14}{42} ?"

              - \frac{14}{45} =0.56 (for the decimal)

  • A) \frac{1}{4} =0.25 (incorrect)
  • B) \frac{7}{21} =0.33 (Incorrect)
  • C) \frac{12}{40} 0.3 (incorrect)
  • D) \frac{28}{80} 0.7 (incorrect)

But in order for you to solve this particular equation you'd have to go in with two (like multiplying by two)

  • 1\times2= 2 ;   4\times2 = 8 (incorrect)
  • 7\times 2= 14 ; 21\times2 = 42 (correct)
  • 12 \times2 = 24 ; 40\times 2 = 80 (incorrect)
  • 2 \times 28 = 56 ; 2\times 80 = 160 (incorrect)

Your result: \boxed{Answer: B. \frac{7}{21} }

Good luck on your assignment and enjoy your day!

~\bold{LoveYourselfFirst:) }



3 0
3 years ago
To convert a capacity of 8.7 gallons to quarts, which ratio could you multiply by? remember that 1 gallon = 4 quarts.
Papessa [141]
Using the factor label method, you would set up your ratio like so:8.7 gall *  \frac{4 qts}{1 gall}
3 0
3 years ago
How to add fractions with unlike denominators?
Ainat [17]
Change the fractions so they have common denominators. For example. If adding 4/8 + 2/3, a common denominator of the two could be 24. Change both fractions to have a denominator of 24. To do this:

(4/8)×(3/3)= 12/24
(2/3)×(8/8)=16/24

Now that both fractions have denominators of 24, you can simply add the numerators to get your answer. in this case, it would be 28/24
5 0
3 years ago
Read 2 more answers
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