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loris [4]
3 years ago
6

Find three consecutive multiples of 4 so that the product of the first and second number is 16 more than 5 times the third numbe

r
Mathematics
1 answer:
kirill115 [55]3 years ago
7 0
Multiplues of 4 are 4n where n is a natural number

they numbers are 4n,4(n+1), 4(n+2)

(4n)(4(n+1))=16+5(4(n+2))
expand
16n²+16n=16+20n+40
16n²+16n=56+20n
divide both sides by 4
4n²+4n=14+5n
minus 14+5n both sides
4n²-n-14=0
factor
(n-2)(4n+7)=0
set to zero
n-2=0
n=2

4n+7=0
4n=-7
n=-7/4, false, n has to be a natural number


n=2


so
4n=8
4(n+1)=12
4(n+2)=16

the numbers are 8,12,16
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4 0
3 years ago
What is the decimal value of 3 quarters and 2 dimes?
Radda [10]

Answer:

0.95

Step-by-step explanation:

Quarter = 0.25

Dime = 0.10

0.25+0.25+0.25= 0.75

0.10+0.10= 0.10

0.10+0.75 = 0.95

6 0
3 years ago
Calculate the partial sum S for the sequence 243,81,27,....
Llana [10]

Answer:363


Step-by-step explanation:

We have to find partial sum for the sequence 243 , 81 , 27 ..... up to 5 terms(S5 given)

The sequence actually is 3^5,3^4.,3^3.....

Therefore first 5 terms are 1) 3^5 I.e. 243

2) 3^4 I.e. 81

3) 3^3 I.e. 27

4)) 3^2 I.e. 9

5) 3^1 I.e. 3

Adding all those no. we get partial sum of first 5 no. of the sequence

So, 243 + 81 + 27 + 9 + 3

= 363

Hope it helps!!!

4 0
3 years ago
Read 2 more answers
During the​ women's basketball championship​ game, team a scored 33 more points than team
Olin [163]
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4 0
3 years ago
help me with the Quadratic equation.... x2+ (p - 5) x + 2q = 0 has the roots −3 and 6. Find the value of P and the value of q.​
nirvana33 [79]

Step-by-step explanation:

The quadratic equation is x² + (p - 5)x + 2q = 0.

By Vieta's Formula,

we have SOR = -b/a and POR = c/a.

=> (-3) + (6) = -(p - 5) and (-3)(6) = 2q.

=> 3 = 5 - p and -18 = 2q

Hence, p = 2 and q = -9.

Alternate Method:

We have (x + 3) and (x - 6) as factors of the quadratic equation x² + (p - 5)x + 2q = 0.

=> (x + 3)(x - 6) = x² - 3x - 18.

By Comparing Coefficients,

(p - 5) = -3 and 2q = 18.

Hence p = 2 and q = -9.

8 0
3 years ago
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