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aleksley [76]
4 years ago
8

Of 300 students in the cafeteria 140 had lunch. Write the ratio of the students in the cafeteria to the students that had lunch

Mathematics
1 answer:
pickupchik [31]4 years ago
8 0

Answer:

140 / 300 or 7:15 or 7/15

Step-by-step explanation:

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Solve for x use the completing the square method x^2+6x=5
Mrac [35]

Answer:

x_{1} =-3 +\sqrt{14} \\\\x_{2} =-3 -\sqrt{14}

Step-by-step explanation:

x^{2}+6x-5=0

we divide the coefficient of the X by half :

in this case: 6/2 = 3 , then we do the following

The result obtained is raised to square power:  3^2=9

we sum and subtract by 9 to maintain the balance of the equation:

x^{2}+6x+9-9-5=0

we have:

(x+3)^{2}-9-5=0

(x+3)^{2} = 14

lets apply square root on both sides of the equation:

\sqrt{(x+3)^{2}}=\sqrt{14}

we know:

\sqrt{a^{2}} = abs(a)

so we have:

abs(x+3)=\sqrt{14}

from where two solutions are obtained

x_{1} + 3 =\sqrt{14} \\\\x_{2} + 3 =-\sqrt{14}

finally we have:

x_{1} =-3 +\sqrt{14} \\\\x_{2} =-3 -\sqrt{14}

5 0
3 years ago
Read 2 more answers
Need help with 5 and/or 6
andre [41]

Answer:

ok

Step-by-step explanation:

not really hard if you concentrate

right now check the curve and see if you'll see x axis

8 0
3 years ago
Solve for the variable in the following equation: 1 / 6c + 1 / 3 = - 2
tankabanditka [31]

Answer: C. C=-14

Step-by-step explanation:

Given

(1/6)c+1/3=-2

Multiply both sides by the LCM of 1/6 and 1/3(Least Common Multiple)

6[(1/6)c+1/3]=(-2)(6)

c+2=-12

Subtract 2 on both sides

c+2-2=-12-2

c=-14

Hope this helps!! :)

Please let me know if you have any questions

4 0
3 years ago
Read 2 more answers
Which expression is equivalent to -18a^-2b^5/-12a^-4b^-6
crimeas [40]

Answer:

  c.  3a^2b^11/2

Step-by-step explanation:

The applicable rule of exponents is ...

  (a^b)/(a^c) = a^(b-c)

__

 \dfrac{-18a^{-2}b^5}{-12a^{-4}b^{-6}}=\dfrac{-18}{-12}a^{-2-(-4)}b^{5-(-6)}=\boxed{\dfrac{3a^2b^{11}}{2}}

3 0
3 years ago
Donna is running around a track.It takes her 3 1/2 minutes to run 1/4 of a lap.If she keeps running at the same speed,how long w
meriva

Answer:

70 minutes

Step-by-step explanation:

3 1/2 ÷1/4= 14 ×5= 70

so you first make 3 1/2 to an improper fraction, then you find the greatest common denominator between 7/2 and 1/4 which is 4, so you multiple 7/2 by 2 and get 14/4 and divide that by 1/4 and get 14minutes now multiply that by 5 laps and receive 70 minutes.

6 0
4 years ago
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