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3 years ago

A 3-meter roll of red ribbon costs $1.89. What is the unit price?

Mathematics

1 answer:

Elan Coil [88]2 years ago

5 0

Answer:

The price of ribbon is $0.63 per meter.

Step-by-step explanation:

It is given that:

Cost of 3 meter ribbon = $1.89

Unit price per meter = $\frac{1.89}{3}$

Unit price per meter = $0.63 per meter

Therefore,

The price of ribbon is $0.63 per meter.

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What value does f(x,y) = (x + 2y)/(x -2y) approach as (x,y) approaches (0,0) along the x-axis?

WARRIOR [948]

Answer:

B. f(x,y) has no limit and does not approach infinity or minus infinity as (x,y) approaches (0,0) along the x-axis.

Step-by-step explanation:

Given the function

f(x,y) = (x + 2y)/(x -2y)

We can apply

y = mx

then

lim (x,y) → (0, 0) f(x,y) = lim (x,mx) → (0, 0) f(x, mx)

⇒ lim (x → 0) (x + 2mx)/(x -2mx) = lim (x → 0) x(1+2m)/(x*(1-2m)) = (1+2m)/(1-2m)

y = x²

then

lim (x,y) → (0, 0) f(x,y) = lim (x → 0) f(x)

⇒ lim (x → 0) (x + 2x²)/(x -2x²) = (1 + 4(0))/(1 - 4(0)) = 1

y = x³

then

lim (x,y) → (0, 0) f(x,y) = lim (x → 0) f(x)

⇒ lim (x → 0) (x + 2x³)/(x -2x³) = (1 + 6(0)²)/(1 - 6(0)²) = 1

We applied L'Hopital's rule to solve the limits.

Then, we can say that f(x,y) has no limit since the limits obtained are different.

4 0

2 years ago

Sally made a box to hold her jewlery collection. She used 42 inches of wood to build the sides of the box. If the box is 9 inche

Juliette [100K]

The length is 12, because if it's 9 inches wide it has two sides of 9 inches which is 18. Then subtract that from the intial value 42 to get 24. After, you divide 24 by 2 due to there being 2 sides of the box and 24 is the sum of both sides. Hopethis helps!

8 0

3 years ago

A company makes and sells charm bracelets. The cost of producing x bracelets is represented by the function

Serggg [28]

P(x) = 12x – 180

Given:

A company makes and sells charm bracelets.

The cost of producing x bracelets is represented by the function C(x) = 180 +

The revenue earned from selling x bracelets is represented by the function

R(x) = 20x.

Explanation of terms:

For x bracelets,

Cost of production is C(x); C(x) = 180 + 8x

Revenue earned is R(x); R(x) = 20x.Profit made is P(x); P(x) is unknown

Profit made = Revenue earned – Cost of production

∴ P(x) = R(x) – C(x)

P(x) = 20x – (180 + 8x)

P(x) = 20x – 180 – 8x

P(x) = 12x – 180

The profit made from selling x bracelets is represented by the function

8 0

2 years ago

Read 2 more answers

Is it possible to prove DOG is con to GED?

blagie [28]

Answer:

Yes

Step-by-step explanation:

The angles are identical, so they are congruent.

Hope I helped! Plz leave a comment and a rating!

8 0

2 years ago

Select from the following choices those graphs that represent only a dilation applied to this polygon with a scale factor great

romanna [79]

Answer:

B and C

Step-by-step explanation:

Required

Select graphs that are dilated by a scale factor greater than 1

For graph A:

Graph A is smaller than the original graph. This indicates dilation with a scale factor less than 1

For graph B:

Graph B is bigger than the original graph and is dilated over (0,0). This indicates dilation with a scale factor greater than 1

For graph C:

Graph C is bigger than the original graph; however, it is not dilated over (0,0). This indicates dilation with a scale factor greater than 1

For graph D:

Graph D is bigger than the original graph; however, it is not only dilated but also flipped over (i.e. rotated).

<em>Hence, b and c is true</em>

5 0

2 years ago