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Illusion [34]
3 years ago
15

Find the sum 3a/bc + 2b/ac

Mathematics
1 answer:
Naddik [55]3 years ago
3 0
\frac{3a}{bc} + \frac{2b}{ac} 
= \frac{3 a^{2} }{abc} + \frac{2 b^{2} }{abc} 
= \frac{3 a^{2}+2 b^{2}  }{abc}
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If a and b are non-negative integers, is ab prime?
andrew-mc [135]
No  because ab can be divided by a and b.
8 0
3 years ago
The man is 5 years older than his wife and the wife is now
castortr0y [4]

Answer:

25

Step-by-step explanation:

The daughter is ten which means the wife is 30 (10*3) and the man is 5 years older than the wife (30+5). The man is 35 and the daughter is ten, so subtract ten years from the man (35-10) which means the man is 25 years old

7 0
3 years ago
The sum of the squares of 3 consecutive positive integers is 116. What are the numbers?
elixir [45]
Let's say, the first number is "n"

well, the consecutive number of "n" is "n + 1"and the consecutive number of "n+1" is "n + 1" +1 or n + 2

so, the numbers are (n), (n+1) and (n+2), whatever "n" is

now, the sum of their squares is 116

\bf (n)^2+(n+1)^2+(n+2)^2=116

expand the binomials by FOIL or binomial theorem, and then simplify
3 0
3 years ago
PLZ HELP ME I HAVE 193 POINTS MORE IF YOU ANSWER CORRECTLY DON'T SCAM ME
Sonja [21]

Answer:

1. b.(03)

2. A.(6,12)

3. C.(10,-1)

4. (-9,2)

Please mark me BrainIIest

Step-by-step explanation:

1.I will solve your system by substitution.

−x+2y=6;6y=x+18

Step: Solve−x+2y=6for x:

−x+2y+−2y=6+−2y(Add -2y to both sides)

−x=−2y+6

\frac{-x}{-1} =\frac{-2y}{-1} Divide by -1

x=2y−6\

Well I did this problem differently I substitute

Step: Substitute2y−6for x in6y=x+18:

6y=x+18

6y=2y−6+18

6y=2y+12

6y+−2y=2y+12+−2y

4y=12

\frac{4y}{4} =\frac{12}{4}

y=3

Step: Substitute3 for y in x=2y−6:

x=2y−6

x=(2)(3)−6

x=0

Your final answer will be x=0 and y=3

3 0
3 years ago
A motorboat takes 3 hours to travel 108 kilometers going upstream. The return trip takes 2 hours going downstream. What is the r
Amanda [17]

Answer:

45; 9

Step-by-step explanation:

1) if the rate of the boat in still water is 'b' and the rate of the current is 'c', then it is possible to write the rate of the boat going upstream: b-c, downstream: b+c.

2) the basic formula is: D=r*t, where D - distance, r - rate/velocity, t - time;

3) according to the condition it takes 3 hours to travel 108 km upstream, it means according to  the formula above 3(b-c)=108;

4) according to the condition it takes 2 hours to travel 108 km downstream, it means according to the formula above 2(b+c)=108;

5) if to make up the system of two equations, then:

\left \{ {{3(b-c)=108} \atop {2(b+c)=108}} \right.  \ => \ \left \{ {{b=45} \atop {c=9}} \right.

6) rate of the boat in still water: 45 km/h;

rate of the current: 9 km/h.

3 0
3 years ago
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