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3 years ago

What is the solution to the system of equations y=2x-3.5 x-2y=-14

Mathematics

1 answer:

PIT_PIT [208]3 years ago

5 0

Y-2x=-3.5
x-2y=-14
then multiply the first term by 2
2y-4x=-7
x-2y=-14
then sum them
-3x=-21
x=-7
y=3.5

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3 years ago

Calculate the area of a rectangle with an altitude of 30cm and a diagnol of 50cm

romanna [79]

Answer:

2000cm²

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3 years ago

The MTC Theater holds 250 people, and last night's performance sold out! Children's tickets were $2.50 per ticket, while adults

olasank [31]

60 children tickets and 190 adult tickets were sold.

Step-by-step explanation:

Let the no. of adult tickets sold be 'a'

Let the no. of children tickets sold be 'c'

Total tickets sold = 250

Cost of 1 children ticket = $2.5

Cost of 1 adult ticket = $4

Total money collected= $910

Given that,

a + c = 250

a = 250 - c

4a + 2.5c = 910

Substitute a value

4(250 - c) + 2.5c = 910

1000 - 4c + 2.5c = 910

1000 - 1.5c = 910

-1. 5c = -90

1.5c = 90

c = 90/1.5

c = 60

a + c = 250

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60 children tickets and 190 adult tickets were sold.

6 0

3 years ago

What set of Reflections and rotations could carry ABCD onto itself?

Nitella [24]

Reflect over y-axis,reflect over the X axis ,rotate 180°

Option D is the correct option.

Explanation:

Let's take point A which is (4,-1)

Reflection over y- axis will make this point (4,1)

Then, reflection over X axis will make this point (4,-1)

After rotation of 180 degree we will get (-4,1) .

Please see the attached picture....

Hope it helps...

Good luck on your assignment...

6 0

3 years ago

Read 2 more answers

Please help.........

faust18 [17]

The answer for PA is 60/13. This is found by
The area of the rectangle is 60, therefore, the big triangle areas are 30 each. We know that the hypotenuse is 13, so therefore, we get
1/2(13*PA) = 30. This then simplifies to
13 * PA = 60, which then turns into
PA = 60/13.

Hope this helps and have a nice day:)

5 0

3 years ago