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TiliK225 [7]
3 years ago
11

Layla is cutting bows out of ribbon which will be used to wrap gifts. If Layla needs 1/3 of a foot of ribbon to make a bow, and

she has 3 feet of ribbon, then how many bows can Layla make?
Mathematics
1 answer:
adoni [48]3 years ago
8 0

Answer:

9bows

Step-by-step explanation:

From the question we were told that Layla needs 1/3 of a foot of ribbon to make a bow, this can be represented as;

1/3 foot = 1 bow

If she has 3feet of ribbon, the amount of bow she can make can be expressed as;

3feet = x

Equating both

1/3 foot = 1 bow

3feet = x bow

Cross multiply

1/3 ×x = 3

x/3 = 3

Cross multiply

x = 3×3

x = 9bows

Hence Layla can make 9bows out of 3feet ribbon

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Solve 4(x + 6) = 2(2x + 12)
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Infinitely many solutions

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\leadsto f( \rm x) =  - (x - 3)(x - 5)

\\  \\

\leadsto f( \rm x) =   - ( {x}^{2}  - 5x - 3x + 15) \\

\\  \\

\leadsto f( \rm x) =   - ( {x}^{2}   - 8x + 15) \\

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What is the standard form equation of the line shown below?
nadya68 [22]

Answer: Choice A

x+3y = 14

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

Explanation:

The general template for standard form is Ax+By = C, where A,B,C are integers.

This immediately rules out choices C and D, since they don't fit the format mentioned.

To see which of A or B we can eliminate or confirm, plug (x,y) coordinates from the graph into each answer choice. The ultimate goal is to get a true statement.

For example, the graph shows that (x,y) = (2,4) is on the line. Plug this into choice A to get...

x+3y = 14

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So far so good. The point (2,4) is on the line x+3y = 14. Repeat those steps for (-1, 5) and you should get another true result. So that would confirm choice A is the answer. You only need a minimum of two points to define a unique line, meaning we only need to verify two points on the line. Anything more is just extra busy work.

---------

If we tried (2,4) with choice B, then,

5x+3y = 14

5(2)+3(4) = 14

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22 = 14 which is false

This indicates (2,4) is not on the line 5x+3y = 14. We can rule out choice B because of this.

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