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astraxan [27]
3 years ago
11

Jon and Jim are cutting a log.jon cut 1/5 of the log on one end while Jim ut 2/9 of the log on the other side How much of the lo

g is left?
Mathematics
1 answer:
Verdich [7]3 years ago
5 0
The answer is 2/45
1/5 times 2/9
1x2=2
5x9=45
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What are the solutions of x ^ 2 + 6x - 6 = 10 ? x = - 11 x = 1 x = - 11 x = - 1 x = - 8x = - 2 x = - 8x = 2
zmey [24]

Answer:

x=-8 ,2

Step-by-step explanation:

x ^ 2 + 6x - 6 = 10

Add 6 to each side

x ^ 2 + 6x - 6+6 = 10+6

x ^ 2 + 6x  = 16

Complete the square  take the coefficient of the x terms, divide by 2 and square it.  Then add it to each side

6/2 =3  , 3^2 =9  

x ^ 2 + 6x +9 = 16+9

(x+3)^2 = 25

Take the square root of each side

sqrt((x+3)^2) = ±sqrt(25)

x+3= ±5

Make 2 equations

x+3 = 5    x+3 = -5

Subtract 3 from each side

x+3-3 =5-3             x+3-3 = -5-3

x =2                           x=-8

8 0
3 years ago
Find the following function of B
levacccp [35]
G(x) = 2x + 1
f(x) = x + 2

B wants you to find g of f of x, or, in other words, g(f(x)).

g(x + 2) = 2(x + 2) + 1
g(x + 2) = 2x + 4 + 1
g(f(x)) = 2x + 5
4 0
3 years ago
You deposit $10,000 in a money-market account that pays an annual interest rate of 4.4%. The interest is compounded quarterly. H
sergiy2304 [10]
Total = principal * (1 + rate/n)^n*years
where "n" is the number of compounding periods per year
Total = 10,000 * (1 + .044/4)^4*2
Total = 10,000 * (1<span>.011</span>)^8
<span><span>Total = 10,000 * 1.0914635699 </span>
</span><span><span>Total = </span> 10,914.64

</span> 
3 0
3 years ago
Pump 1 can empty a pool in 8 hours while Pump 2 can empty the same pool in 9 hours. If the two pumps worked together, how long w
yan [13]
<span>Rate of pump A: 1/8 of a pool per hour 
Rate of pump B: 1/9 of a pool per hour 
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So if they work together, the two pumps have a combined rate of 25/72 of a pool per hour (i.e in one hour, the two pumps will empty 25/72 of the pool) 

</span><span>But we want to empty ONE pool (not 25/72 of one). So we need to multiply 25/72 by some number x to get 1.
 </span>
<span>Now solve for x 
x=2.88
</span><span>It will take the two pumps 2.88 hours to empty the pool.
2 hours 52 minutes 50 seconds</span>
7 0
3 years ago
Simplify by dividing -5/8 divided by -3/4
aleksandr82 [10.1K]

Answer:

-5/6

Step-by-step explanation:

7 0
3 years ago
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