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Svetradugi [14.3K]
4 years ago
12

Find the 19th term of the arithmetic sequence whose common difference is =d5 and whose first term is =a12.

Mathematics
1 answer:
emmasim [6.3K]4 years ago
4 0
An=a1+d(n-1)
a1=first term
d=common difference
n=which term

common difference is 5 first term is 2
an=5+2(n-1)
19th term is n=19
a19=5+2(19-1)
a19=5+2(18)
a19=5+36
a19=41

19th term is 41
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Two boys' ages total 24. Four less than six times the younger boy's age equals five more than three times the older boy's age. W
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Hey there!

Let x be boy 1's age, and y be boy 2's age (younger).

Firstly, we know that x+y=24

6y-4=3x+5 <== we have this right here. (using the rules given by the question)

We can use all the equations to help find the answer.

x+y=24

x+y (-y)= 24(-y)

x=24-y

Plug that into x in the equation we made above.

6y-4= 3(24-y)+5

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Add 4 to each side.

6y= 81 -3y

9y=81

y=9

We know the younger boys age is 9.

We can plug that in to find the older one's age.

x+9= 24

x= 15

The boy's ages are 9 and 15.

I hope this helps!

~kaikers


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Brian is making 5 triangular flags, each with the dimensions shown below. How much fabric will Brian need to make the 5 flags?
Finger [1]

Answer:

  1,620 square inches

Step-by-step explanation:

The area of one triangle can be computed using the formula ...

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Then the area of 5 flags will be 5 times that much:

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Brian will need 1,620 square inches of fabric for his 5 triangular flags.

6 0
4 years ago
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