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IrinaVladis [17]
3 years ago
14

One number is eight less than the second number. Twice the first is 9 more than 3 times the second. Find the numbers

Mathematics
1 answer:
Alik [6]3 years ago
7 0

Answer:

-49/3 and -25/3

Step-by-step explanation:

Let the numbers be represented by f and s (first and second).  Then f = s - 8.  Also, 2f = 3s + 9.  Solve this system for f and s:

Substituting s - 8 for f in the 2nd equation, above, yields

2(s - 8) = 3s + 9, or 2s - 16 = 3s + 9.  Then 3s = -25, and s = -25/3.  The first number is then f = s - 8, or f = -25/3 - 8, or f = -49/3.



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-5 and -8 both multiply to 40 -5 x -8 = 40 and both add up to -13. -5 + -8 = -13. two negative numbers when added together the answer is still negative. ex: if i owe 2 dollars to someone and 2 to another i owe 4 in total
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Given the following functions, evaluate f×g(7)
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evaluate g(7) by substituting x = 7 into g(x

g(7) = (49-35-10)/2 = 4/2 = 2

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3 years ago
Whoever helps me is my saviour! I need this in by tomorrow!
Alenkasestr [34]

Answer:

1) \frac{7}{8}+\frac{2}{5}=\frac{7\times5+2\times8}{40}=\frac{35+16}{40}=\frac{51}{40}.

2) 2\frac{1}{3}\times \frac{1}{4}=\frac{7}{3}\times\frac{1}{4}=\frac{7}{12}

hence, answer is 7/12.

3) We have to divide £72 in the ratio 2:3:1

the total of the ratio is=2+3+1=6

so on dividing 72 into 6 parts we have 72/6=12

First '2' parts=2×12=24

second '3' part=3×12=36

last '1' part=1×12=12

so dividing £72 in the ratio 2:3:1 is: £24,£36 and £12

4) 39 people out of 65 have blonde hair.

Number of people who do not have blonde hair=65-39=26

percentage people who do not have blonde hair is given by:

=\frac{26}{65}\times100\\ \\=40%

Hence, percentage people who do not have blonde hair is 40%

5) 20% of 90= (20/100)×90

                       =18

Hence, 20% of 90 is 18.

6) Factorise

  2x^2+18x^3=2x^2(1+9x)\\\\2x^2+18x^3=18x^2(x+\frac{1}{9})

7) Expand

(y-8)(y-6)=y(y-8)-6(y-8)=y^2-8y-6y+48\\\\(y-8)(y-6)=y^2-14y+48

8)

x^2+4x+3=x^2+x+3x+3=x(x+1)+3(x+1)=(x+3)(x+1).

9)

y^{0}=1

10)

0.0342=3.42\times10^{-2}

11) x= -4 y=3

and z=4 x-y^3

z=4×(-4)-3^3

z= -43

12) y+2x=x-2\\\\2x-x=-y-2\\\\x=-y-2

13) 8-7x=22\\\\7x=8-22\\\\7x=-14\\\\x=-2

Hence x= -2

14) 5,10,15,20,....a_{1}=5=5\times1 , a_{2}=10=5\times2 , a_{3}=15=5\times3,........,a_{n}=5n=5\timesn

Hence,  nth term is 5n.

15) (63×128)/32.9=245.106.

16) 938×21=19698.




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