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ziro4ka [17]
3 years ago
13

Solve the systems of equations 2x+2y+6z=8 5x+6y+5z =3 5x+6y+3z=3

Mathematics
1 answer:
vlabodo [156]3 years ago
4 0

Answer:

x=21\\y=-17\\z=0

Step-by-step explanation:

Multiply the second equation by -1:

(-1)5x+6y+5z=3(-1)\\-5x-6y-5z=-3

Add this equation and the third equation and solve for "z":

\left \{ {{-5x-6y-5z=-3} \atop {5x+6y+3z=3}} \right.\\.........................\\-2z=0\\z=0

Substitute z=0 into two original equations:

2x+2y+6(0)=8

2x+2y=8        [Equation A]

5x+6y+5(0)=3  

5x+6y=3       [Equation B]

Multiply the Equation A by -3, add both equations and then solve for "x":

\left \{ {{-6x-6y=-24} \atop {5x+6y=3}} \right.\\.....................\\-x=-21\\x=21

Substitute x=21 into the Equation A or the Equation B and solve for "y":

2(21)+2y=8\\\\42+2y=8\\\\2y=8-42\\\\2y=-34\\\\y=\frac{-34}{2}\\\\y=-17

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Step-by-step explanation:

x = hours Ali was charged for

150 + 50 x = 375

- 150 -150

50x = 225

÷ 50. ÷50

x = 4.5 hours

6 0
3 years ago
12. The function M(h) = 10e-0.173h can be used to find the number of milligrams M of morphine that is
vodomira [7]

Answer:

Part A; Initial dosage is 10 milligrams

Part B:

8.4113 milligrams after 1 hour

5.0057 milligrams after 4 hours.

Step-by-step explanation:

It is given M(h)= 10 e^{-0.173h}

Initial dosage is the 10 milligrams

After 1 hour, plug in h as 1

So, M(1)=10e^{-0.173*1}

Simplify the right side

M(1)=10(0.84113)

M(1)= 8.4113 milligrams.

Now, after 4 hours

M(4)=10 e^{-0.173*4}

M(4)=10(0.50057)

M(4) =5.0057 milligrams

3 0
3 years ago
Sophia uses 18 beads to make a necklace. Three sixths of the beads are purple. How many beads are purple?
joja [24]

Answer:

9 beads are purple

Step-by-step explanation:

we know that

To find out how many  beads are purple, multiply the total beads by the fraction of the beads that are purple

so

18(\frac{3}{6})=9\ beads

therefore

9 beads are purple

Another way to solve the problem is convert the fraction in percentage

we have

\frac{3}{6}=\frac{1}{2}=0.50*100=50\%

so

If the total are 18 beads

50% is 9 beads

therefore

9 beads are purple

8 0
3 years ago
max and his friend zeke are comparing their ages. they figure out that if they double maxs age from 3 years ago and add it to ze
Gre4nikov [31]
Let m be max's age
Let z be zekes age
2m+z=26
Sub in zekes age
2m+8=26
2m=26-8
2m=18
M=18/2
M=9
Remember: this is Max's age THREE YEARS AGO. Therefore, add three to get his current age
9+3=12
Therefore, Max is currently 12
Hope this helps!
4 0
3 years ago
Read 2 more answers
Sue has $74,210 in a savings account. The interest rate is 15% per year and is not compounded. How much will she have in 2 years
MrRa [10]

Answer:

$22,263

Step-by-step explanation:

15% of $74,210 is $11,131.50 so $11,131.50 X 2= $22,263

so after 2 years the total amount of money along with interest will be a total of = $96,473

8 0
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