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vlada-n [284]
3 years ago
14

William bought some tickets to see his favorite singer. He bought some adult tickets and some children tickets, for a total of 1

5 tickets. The adult's tickets cost $30 per ticket and the children's tickets cost $20 per ticket. if he spent $330 then how many adults and children's tickets did he buy? Do it step by step
Mathematics
1 answer:
Viefleur [7K]3 years ago
5 0
Hello!

Let 'a' stand for adult tickets and 'c' for children tickets.

a + c = 15

(Both adult and children tickets make up a total of 15 tickets).

30a + 20c = 330

a = 3

c = 12

A N S W E R:

William bought 3 adults tickets and 12 children's tickets.

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Determine which lines are parallel and which are not parallel. Explain your reasoning.
NeX [460]

Answer:

If M and N are parallel, then the correspondent angles generated by the intersection with line R (or line S) should be equal.

So, if M and N are parallel, we should get that angles 2 and angle 4 are equal, as both of these are on the fourth quadrant of the intersection with the same line.

Similarly, if R and S are parallel, then correspondent angles generated by the intersection with line M (or line N) should be equal, this means that:

angle 3 and angle 7 should be equal.

Also remember that if we have two lines intersecting, generating 4 angles, any pair of two adjacent angles will always add to 180°.

Here we have two cases:

1)  m∠3=69°, m∠7=71°

Here we can see that:

m∠3 ≠ m∠7

Thus, lines  R and S are not parallel.

And here we do not have any information on the angles 1, 2, 5, and 6, so we can't compare the angles generated by line N with the ones generated by line M, so we can not know if lines N and M are parallel or not.

2) Now we have that:

m∠3=76°  , m∠8=114°

Notice that angle 8 and angle 7 are adjacent, then we have that:

∠7 + ∠8 = 180°

And we know that:

∠8 = 114°

Then:

∠7 + 114° = 180°

∠7 = 180° - 114° = 76°

Then we have:

∠7 = ∠3

From this we can conclude that lines R and S are parallel.

(again, we can not do anything with lines N and M)

6 0
2 years ago
Jenny bought gas for her car. Gas cost $3.45 per gallon. She bought 12.2 gallons for her car. What was the total cost of gas for
Greeley [361]

Answer:

Gas prices $3.45

Jenny purchase 12.2 gallons of gas for her car.

12.2 x $3.45 = 42.09

A= $42.09

3 0
3 years ago
A force of 56N is required to keep a spring stretched 4m from the equilibrium position. How much work in Joules is done to stret
Mariana [72]

Please check the attached images for the answer. Answer with full explanation is screenshoted. Plz refer.

Thanks ☺️

Hope it helps you.

8 0
2 years ago
6. Find LCM (10,14,63).​
Katen [24]

Answer:

630 is the LCM

Step-by-step explanation:

You have to list all the multiples of each number till you find the lowest same value one which in this case it's 630.

Multiples of 10:

10, 20, 30, 40, 50, 60, 70, 80, 90, 100, 110, 120, 130, 140, 150, 160, 170, 180, 190, 200, 210, 220, 230, 240, 250, 260, 270, 280, 290, 300, 310, 320, 330, 340, 350, 360, 370, 380, 390, 400, 410, 420, 430, 440, 450, 460, 470, 480, 490, 500, 510, 520, 530, 540, 550, 560, 570, 580, 590, 600, 610, 620,<em> 630</em>, 640, 650

Multiples of 14:

14, 28, 42, 56, 70, 84, 98, 112, 126, 140, 154, 168, 182, 196, 210, 224, 238, 252, 266, 280, 294, 308, 322, 336, 350, 364, 378, 392, 406, 420, 434, 448, 462, 476, 490, 504, 518, 532, 546, 560, 574, 588, 602, 616, <em>630</em>, 644, 658

Multiples of 63:

63, 126, 189, 252, 315, 378, 441, 504, 567, <em>630</em>, 693, 756

3 0
3 years ago
A customer brings a box with a mix of integers as inputs to a function machine. She wants you to program a function machine so t
Natasha_Volkova [10]

Answer:

The manager did not make a good suggestion.

Any values of x that are less than or equal to -20 will result in a non-negative output and will not meet the customer's needs.

7 0
3 years ago
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