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Mama L [17]
2 years ago
7

A store had 5 packs of paper for $7.80. How much would it cost if you were to buy 3 packs

Mathematics
1 answer:
valentina_108 [34]2 years ago
4 0
To buy 3 packs, the cost would be $4.68
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Which of the following is a linear function?
djyliett [7]
It should be the last option. With linear functions, you should be graphing a straight line.
3 0
2 years ago
19. Describe the sequence of transformations from quadrilateral WXYZ to W"X"Y"Z"
Tpy6a [65]

Answer:

The sequence is as following:

1. Reflection 180°

2. Reflection over the line x=5  

3. Translation 2 units down.

Step-by-step explanation:

The question is as following:

Describe the sequence of transformations from Quadrilateral WXYZ to W”X”Y”Z”.

The picture is a coordinate plane with

W= (-8,8)

X= (-2,8)

Y= (-2,4)

Z= (-8,4)

W”= (2,-10)

X”= (8,-10)

Y”= (8,-6)

Z”= (2,-6)

=================================

See the attached figure

The sequence is:

Reflection 180° ⇒ Reflection over the line x=5 ⇒ translation 2 units down.

Rule of reflection 180° is (x, y) → (–x, –y)

Rule of reflection over the line x=5 is (x, y) → (–x+10 , y)

Rule of translation 2 units down is (x, y) → (x , y–2)

The way of thinking:

1. The rectangle at the second quadrant, we need make it at the fourth quadrant, so, the suitable is <u>Reflection 180°</u>

2. After reflection 180°, it is noticed that we need reverse the vertices so we need to make a reflection over its vertical axis which is at <u>x = 5</u>

3. We need to translate it 2 units down to overlap with the required coordinates.

<u>Check the points:</u>

W(-8,8) ⇒ (8,-8) ⇒ (2,-8) ⇒ (2,-10)⇒W"

X(-2,8) ⇒ (2,-8) ⇒ (8,-8) ⇒ (8,-10)⇒X"

Y(-2,4) ⇒ (2,-4) ⇒ (8,-4) ⇒ (8,-6)⇒Y"

Z(-8,4) ⇒ (8,-4) ⇒ (2,-4) ⇒ (2,-6)⇒Z"

5 0
2 years ago
Use substitution method <br>3x +4y+175x-2y=11​
Viefleur [7K]

3x +4y+175x-2y=11

4y-2y+175x+3x=11

2y+178x=11

2y=11-178x

y=\frac{11-178x}{2}

y=-89x+\frac{11}{2}

178x=-2y+11

x=\frac{-2y+11}{178}

x=\frac{-1}{89} y+\frac{11}{178}

4 0
2 years ago
PLEASE HELP!
Lina20 [59]

Answer:

Step-by-step explanation:

Each 90° clockwise turn takes a point (x,y) and transforms it to (y,-x). For a 180° turn you would do this process twice in a row; for a 270° turn, three times in a row.

4 0
3 years ago
Read 2 more answers
A certain company employs 6 senior officers and 4 junior officers. If a committee is to be created that is made up of 3 senior o
Zigmanuir [339]

Answer:

80

Step-by-step explanation:

A certain company employs 6 senior officers and 4 junior officers. If a committee is to be created that is made up of 3 sr officers and 1 jr officer, how many different committees are possible?

8

24

58

80*

210

I initially got this one wrong, but after I saw the answer which is 80, I was able to solve it. But im not sure if this is the proper way of solving it, or if someone can suggest a more efficient way of solving it?

This is what I did, which was wrong:

Sr Officers + Jr Officers

(6!/3! 3! = 20) + (4!/3! = 4) = 24

It seems like the correct answer is:

Sr Officers X Jr Officers

(6!/3! 3! = 20) x (4!/3! = 4) = 80

If this is the most efficient way of solving, when do you know when to add them as opposed to multiplying them in this case?

7 0
2 years ago
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