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viktelen [127]
3 years ago
10

The following set of linear equations 2x+2y=18 x+3y=17

Mathematics
1 answer:
NemiM [27]3 years ago
8 0

Answer:

x = 5

y = 4

Step-by-step explanation:

1. 2x + 2y = 18

2. x + 3y = 17

Multiply the first equation by 1 and the second equation by 2 to eliminate x

We have

2x + 2y = 18

2x + 6y = 34

Subtract equation 2 from equation 1

-4y = -16

Divide both sides by -4 to isolate y

-4y/-4 = -16/-4

y = 4

Now substitute 4 for y in either equation to get x. Using equation 2 we have

x + 3y = 17

x + 3 x 4 = 17

x + 12 = 17

Subtract 12 from both sides

x + 12 - 12 = 17 - 12

x = 5

x = 5 and

y = 4

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Tickets to a movie cost $7.25 for adults and $5.50 for students a group of friends purchased 8 tickets for $52.75 how many adult
irina1246 [14]

Answer:

The number of adults tickets and student tickets purchased is 5 and 3.

Given that,

Tickets to a movie cost $7.25 for adults and $5.50 for students.

A group of friends purchased 8 tickets for $52.75.

Here we assume the no of adult tickets and no of student tickets be x and y.

Based on the above information, the calculation is as follows:

7.25x + 5.50y = 52.75 .............(i)

x + y = 8

x = 8 - y..................(2)

Now put the x value in the equation (1)

So,  

7.25(8-y) + 5.50y = 52.75

7.25 × 8 - 7.25y + 5.50y = 52.75

58 - 1.75y = 52.75

5.25 = 1.75y

y = 3

So,  

x = 8 - 3

= 5

Therefore we can conclude that the number of adults tickets and student tickets purchased is 5 and 3.

-Hope this helps<3

4 0
2 years ago
As a lifeguard, sara earns a base pay of $80 per day. if her day involves swim instruction, sara earns an additional 9t dollars,
zhuklara [117]

Answer:

Step-by-step explanation:

Sara's base pay is $80

(a) The 9t represents the additional amount of money that she earns if she gives instruction for t hours. 9 stands for $9 per hour

b)The term in the expression is t which stands for the number of hours that she instructs. The coefficient is 9 which stands for the hourly rate

c) The expression for 7 hours would be

We will substitute t into 80 + 9t. It becomes

80 + 9×7

d) in all, she will earn

80 + 9×7 = $143

4 0
3 years ago
The question is in the picture​
otez555 [7]

Answer:

x=27.8

Step-by-step explanation:

first, you need to find y. 2y-5=65. 65+5 is 60 and you are left with 2y=70. to get the 2 off of the y you divide everything by 2. 70/2 is 35 therefor y=35. Now you plug that into the other equation (2x+y) and get 2x+35 which is equal to segment 90.6 so 2x+35=90.6. subtract 35 on both sides and you have 2x=55.6. To get the 2 off the x, we divide everything by 2. all of that divided by 2 is x=27.8

5 0
2 years ago
(3, 4) was dilated to become point X' (12, 16). What was the<br> scale factor?
tensa zangetsu [6.8K]

Step one: correspond x values and y values together

         it would be: 3, 12   and    4, 16

Step two: divide

12/3 = 4         and     16/4 = 4

both numbers = 4

scale factor is 4

6 0
2 years ago
The circumference of a circular field is 279.46 yards. What is the radius of the field? Use 3.14 for π and do not round your ans
wel

Answer:

44.5 yards

Step-by-step explanation:

Start with the formula of the circumference of a circle.

C = πd

Now all you have to do is plug in the numbers.

279.46 = (3.14)d

Divide both sides by 3.14

d = 89

But since you're finding the radius, you have to divide the diameter by 2.

89/2 = 44.5

6 0
3 years ago
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