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Alex777 [14]
3 years ago
8

Solve the simultaneous equation 2x - 5y = 9 3x + 4y = 2

Mathematics
1 answer:
lianna [129]3 years ago
8 0

Answer:

x = 2, y = -1.

Step-by-step explanation:

2x - 5y = 9

3x + 4y = 2

Multiply first equation by -3 and the second by 2:

-6x + 15y = -27

6x + 8y = 4            Adding the 2 equations:

23y = -23

y = -1.

Now substitute this value for y in the first equation:

2x - 5(-1) = 9

2x = 9 +5(-1)

2x = 9 - 5

2x = 4

x = 2.

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What is one yard minus one foot and three inches.
aleksandrvk [35]
Well, a yard is equal to 36 inches.
One foot and three inches is equal to 15 inches.
36 - 15 = 21
Hope this helps! :D
5 0
3 years ago
4+4x+x^2 = y Given x = 3
stira [4]

Answer:

y=25

Step-by-step explanation:

y=4+4x+x^2

x=3

y=4+4(3)+(3)^2

y=4+12+(3)^2

y=4+12+(3x3)

y=4+12+(9)

y=16+9

y=25

If this helps please mark as brainliest

4 0
3 years ago
Jack charges $40 initial fee plus $30 an hour to work on vehicles. Mark charges $25 an hour with a $50 initial fee. to work on v
Nostrana [21]

Answer:

Step-by-step explanation:

Let the equal number of hours be represented by variable H;

The two equations will be as follows;

Jack; 40 +30H

Mark; 50 +25H

Next, equate them;

40 + 30H = 50 + 25H

30H - 25H = 50 - 40

5H = 10

H =10/5

H = 2hrs

Therefore, they charge the same amount at 2 hrs.

B.) The amount charged;

Replace the variable H in any of the two equations above with 2 to solve for the amount.

Equation 40+30H = 40 + (30*2)

=40 + 60

= $100

4 0
3 years ago
An article reported that what airline passengers like to do most on long flights is rest or sleep; in a survey of 3697 passenger
slava [35]

Answer:

Step-by-step explanation:

Hello!

The study variable is:

X: number of passengers that rest or sleep during a flight.

The sample taken is n=9 passengers and the probability of success, that is finding a passenger that either rested or sept during the flight, is p=0.80.

I'll use the binomial tables to calculate each probability, these tables give the values of accumulated probability: P(X≤x)

a. P(6)= P(X=6)

To reach the value of selecting exactly 6 passengers you have to look for the probability accumulated until 6 and subtract the probability accumulated until the previous integer:

P(X=6)= P(X≤6)-P(X≤5)= 0.2618-0.0856= 0.1762

b. P(9)= P(X=9)

To know the probability of selecting exactly 9 passengers that either rested or slept you have to do the following:

P(X≤9) - P(X≤8)= 1 - 0.8657= 0.1343

c. P(X≥6)

To know what percentage of the probability distribution is above six, you have to subtract from the total probability -1- the cumulated probability until 6 but without including it:

P(X≥6)= 1 - P(X<6)= 1 - P(X≤5)= 1 - 0.0856= 0.9144

I hope it helps!

6 0
3 years ago
I need help which one is it?
Natalka [10]
Answer:
Alternate interior
8 0
3 years ago
Read 2 more answers
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