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2 years ago

A pair of boots costing $299 is marked down 45%.

Mathematics

2 answers:

Margaret [11]2 years ago

8 0

The answer is $164.45

Paraphin [41]2 years ago

6 0

Answer: 164.45

Step-by-step explanation:

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On Naomi's cell phone plan, the amount she pays each month for international text messages is proportional to the number of inte

Lostsunrise [7]

A) The constant of proportionality in this proportional relationship is $k = \frac{y}{x}$

B) The equation to represent this proportional relationship is y = 0.2x

<h3><u>Solution:</u></h3>

Given that,

The amount Naomi pays each month for international text messages is proportional to the number of international texts she sends that month

Therefore,

This is a direct variation proportion

$\text{ amount Naomi pays each month } \propto \text{ number of international texts she sends that month}$

Let "y" be the amount that Naomi pays each month

Let "x" be the number of international texts she sends that month

Therefore,

$y \propto x$

y = kx -------- eqn 1

Where, "k" is the constant of proportionality

Thus the constant of proportionality in this proportional relationship is:

$k = \frac{y}{x}$

<em><u>Last month, she paid $3.20 for 16 international texts</u></em>

Therefore,

y = 3.20

x = 16

Thus from eqn 1,

$3.20 = k \times 16\\\\k = \frac{3.20}{16}\\\\k = 0.2$

Substitute k = 0.2 in eqn 1

y = 0.2x

The equation would then be y = 0.2x

8 0

3 years ago

The coordinates of the points below represents the vertics of a rectangle

Tanya [424]

Not sure what the question is, but I'm guessing you want to find out the area of the rectangle.

The distance between points P and Q is 4.

The distance between points Q and R is 3.

So the area is 3 * 4 = 12.

6 0

3 years ago

A blueprint for a garage has a scale of 1.5 cm to 3 cm. on the blueprint, the lenght of one wall is 8cm. If w represents the len

Alenkasestr [34]

w = 16 cm, since 1.5:3 is a 1:2 ratio, 8 x 2 is 16

6 0

3 years ago

Read 2 more answers

A wall is 20 feet long and requires 1,470 bricks to build. How high is the wall?

Arte-miy333 [17]

Answer: The height of wall is 10.5 feet.

Step-by-step explanation:

Since we have given that

Number of bricks to build = 1470

Length of wall = 20 feet

We need to find the height of wall.

As we know that

Bricklayer's formula is given by

$N=7LH\\\\1470=7\times 20\times H\\\\1470=140\times H\\\\\dfrac{1470}{140}=H\\\\10.5\ ft=H$

Hence, the height of wall is 10.5 feet.

3 0

3 years ago

What do you know about the distance between each buoy

BigorU [14]

The three inside angles of a triangle when added together = 180 degrees.

Since two angles are given as 60 degrees, we know the third angle = 180 - 60 - 60 = 60 degrees.

When all three angles of a triangle are the same, it is an equilateral triangle and this means all three sides are also the same length.

This means the distance between each buoy is identical.

5 0

4 years ago