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V125BC [204]
2 years ago
14

Find the real solution(s) of the equation 1/6x^3 = -36

Mathematics
1 answer:
ratelena [41]2 years ago
3 0

Answer:

Below.

Step-by-step explanation:

1/6x^3 = -36

Multiply both sides by 6:

x^3 = -216

x = ∛(-216)

= -6.

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A number doubled and has four added to it. The result is divided by three and then added to the product of the original number a
IrinaK [193]
X= a number

(2x+4)/3 + (x+2)= 20
Multiply everything by 3 to eliminate the fraction
(3/1)((2x+4)/3) + (3)(x+2)= (3)(20)
2x+4+3x+6= 60
5x+10=60
Subtract 10 from both sides
5x=50
divide both sides by 5
x=10

Check:
Substitute answer in original equation
(2x+4)/3 + (x+2)= 20
(2(10)+4)/3+(10+2)= 20
(20+4)/3+12= 20
24/3+12= 20
8+12= 20
20=20

Hope this helps! :)
8 0
3 years ago
Riley wants to divide 30 flowers into 2 groups so that the ratio is 2 to 3
77julia77 [94]
30÷5 (the 5 parts from 2:3) is 6 so the first group gets 12 (2x6) and the second gets 18 (3x6)
6 0
3 years ago
Rachel babysits the Michaelson’s kids on Saturdays for 4 hours and is paid $12.50 per hour. On Sundays, she babysits at the Smit
NeTakaya

Answer:

She earns $8.00 more on Sunday

Step-by-step explanation:

Saturday 12.50x4=50.00

Sunday 14.50x4=58.00

5 0
3 years ago
Compute the permutations and combinations.<br><br> 4 P 4<br><br> 1<br> 4<br> 24
lawyer [7]
The answer is a.
4 P 4 = 24
4 0
3 years ago
Can anyone help me solve this
yawa3891 [41]

Answer:

a. $45.54; b. $51.42; c. See below

Step-by-step explanation:

a. 193 min

        Service charge = $40.00

1st 100 min @ 0.021 =      2.10

Next 93 min @0.037 = <u>    3.44 </u>

                        Total =  $45.54

b. 317 min

          Service charge = $40.00

  1st 100 min @ 0.021 =      2.10

2nd 100 min @ 0.037 =     3.70

        117 min @ 0.048 =   <u>   5.62</u>

                          Total =   $51.42

c. Piecewise function

The charge is  

  • $40.00 + 0.021t               if t ≤ 100
  • $42.10 + 0.037(t - 100)    if 100 < t ≤ 200
  • $45.80 + 0.048 (t - 200) if t > 200

which we can write like this:

f(t) =\begin{cases}40.00 + 0.021t & t \leq 100\\42.10 + 0.037(t-100) & 100 < t \leq200\\45.80 + 0.048(t-200) & t > 200\end{cases}

5 0
2 years ago
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