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navik [9.2K]
3 years ago
15

How many solutions does this linear system have?

Mathematics
1 answer:
Mice21 [21]3 years ago
8 0

Answer:

one solution: (-1,1)

Step-by-step explanation:

we have

y=x+2 ----> equation A

6x-4y=-10 ----> equation B

Solve the system by substitution

Substitute equation A in equation B

6x-4(x+2)=-10

solve for x

6x-4x-8=-10

6x-4x=-10+8

2x=-2

x=-1

<em>Find the value of y</em>

y=x+2 ----> y=-1+2=1

The solution is the point (-1,1)

therefore

one solution: (-1,1)

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It costs 135.25 for 15 child tickets ti the museum.Adult tickets cost 12.95 each. Find the cost for 40 children to attend along
Masja [62]

Answer:the cost for 40 children to attend along with 5 adult tickets = $ 417.55

Step-by-step explanation:

It costs 135.25 for 15 child tickets to the museum. Let us determine the cost per child ticket to the museum.

cost per child ticket to the museum.

= total cost of 15 child tickets / number of child tickets.

= 132.25 / 15 = 8.82

Adult tickets cost 12.95 each.

The cost of 40 child tickets is

40 × 8.82 = $352.8

The cost of 5 adult tickets = 5 × 12.95

=$ 64.75

the cost for 40 children to attend along with 5 adult tickets would be

352.8 + 64.75 = $ 417.55

4 0
3 years ago
1. m∠QPR =<br><br> 2. m∠QTP =<br><br> 3. RP =<br> Show all the work
alex41 [277]

Answer:

1. 30°

2.90°

3. 12 units

Step-by-step explanation:

I can't believe there's nothing confirming that this is a parallelogram/a rhombus?! Assuming is awful, and I wish you could say you can't know for sure lol but for the sake of this answer, let's just call it a rhombus. (There was probably some context elsewhere that you didn't put over here, hopefully.)

1.

The reason I say this is: in a rhombus, the diagonals bisect the angles. This means that the diagonals split the angles they meet into two equal parts. That way, it would make sense. m∠QPR=m∠SPR=30°.

2.

If it is a rhombus, the diagonals are perpendicular to each other, so m∠QTP should be 90°.

3.

Diagnonals in a rhombus (and in any parallelogram) bisect each other, so PT=TR=6, and RP=PT+TR=12 units.

Sorry if this is all dreadfully wrong, and I hope I helped you!

7 0
3 years ago
 Neda sells televisions. She earns a fixed amount for each television and an additional $ 15 if the buyer gets an extended warra
Alex Ar [27]

Answer:

$50

Step-by-step explanation:

15x18=270

1170-270=900

900/18=50

7 0
3 years ago
If BC=2x-3 and AC=2x+10, find the length of AB
Anettt [7]

Answer:

ac

Step-by-step explanation:

xcsddddssss

5 0
2 years ago
Shara collected two different data sets and label them dataset S and data said T.
Kamila [148]

Answer:

What are you asking?

Step-by-step explanation:

4 0
3 years ago
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