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Mars2501 [29]
4 years ago
14

A 208-yard-long road is divided into 16 parts of equal length. Mr.Ward paints a 4-yard-long strip in each part. How long is the

unpainted strip of each part of the road?
Mathematics
2 answers:
Andreas93 [3]4 years ago
5 0

Answer:

Length of unpainted strip of each part of the road = 9 yard

Step-by-step explanation:

Total length of the road = 208 yard

When it is divided into 16 equal parts,

length of each part = \frac{208}{16}

                                 = 13 yard

Mr.Ward paints 4 yard long strips in each part .That is he does not completely paint the part but paints only a small section of each part.

Length of unpainted strip of each part of the road = length of each strip - length of strip painted by Mr.Ward

Length of unpainted strip of each part of the road = 13 - 4

Length of unpainted strip of each part of the road = 9 yard

Allushta [10]4 years ago
4 0

Answer:

In each part, unpainted strip is 9 yard long.

Step-by-step explanation:

The total strip is of given length 208 yard long.

It is divided into 16 parts, so the length of each strip is,

= \frac{208}{16} = 13 yard .

Now it is given that,  <em>Mr.Ward paints a 4-yard-long strip in each part,</em>

so the unpainted part of strip length is given by,

13 - 4 = 9 yard.

<em>Thus, the unpainted part of strip is 9 yard long.</em>

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spayn [35]

Answer:

2x · (x-1)

Step-by-step explanation:

2x

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3 years ago
(question 31) if arc mBC =120 and arc mAD =50 whatis the measure of angle DYC
g100num [7]
<h3>Answer:  D) 95</h3>

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

Explanation:

First, let's calculate angle BYC. This is the angle formed by the chords that subtend the arcs mentioned. This angle faces or is aimed toward the direction of the arcs. To find this angle, we'll average the arc measures like so:

angle BYC = (arcAD + arcBC)/2

angle BYC = (50+120)/2

angle BYC = 170/2

angle BYC = 85 degrees

Then we'll use the idea that angles BYC and DYC are supplementary (aka they form a straight 180 degree angle)

angleBYC + angleDYC = 180

angleDYC = 180 - angleBYC

angleDYC = 180 - 85

angleDYC = 95 degrees

which is why the answer is choice D.

5 0
3 years ago
I WILL GIVE BRAINLIEST IF CORRECT The area of a square is 49 square centimeters. Find the length of a side. Find the length of t
Bingel [31]

Answer: 7

Step-by-step explanation:

Since squares have the same side lengths

then you need to find a number that multiplies twice that equals 49

7*7 = 49

8 0
3 years ago
Read 2 more answers
Eight minus a number divided by three is greater than or equal to eleven
AfilCa [17]

Answer:

Step-by-step explanation:

8-x/3>=11 is the equation, and the answer is:

x<= -9, so any number less than -9 is correct.

5 0
3 years ago
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3) For a certain good we have LaTeX: q=f\left(p\right)=200e^{-0.4p}q = f ( p ) = 200 e − 0.4 p.
disa [49]

Answer:

(a)20

(b)Elastic

(c)8

(d) Elastic

Step-by-step explanation:

Elasticity of demand(E) indicates the impact of a price change on a product's sales.

The general formula for an exponential demand curve is given as:

y=ae^{-bp}

Given the demand curve formula

q=f\left(p\right)=200e^{-0.4p}

The formula for Elasticity of demand, E

E = -\dfrac{p}{q}\dfrac{\text{d}q}{\text{d}p}

(a)When Price,  p = $50

p=50

q=200e^{-0.4*50}=200e^{-20}

\dfrac{\text{d}q}{\text{d}p}=-0.4*200e^{-0.4p}=-80e^{-0.4p}

Therefore:

E = -\dfrac{50}{200e^{-20}}*-80e^{-0.4*50}\\=\dfrac{1}{4e^{-20}}*80e^{-20}\\\\E=20

(b)At p = $50, Since elasticity is greater than 1, the demand is elastic.

An elasticity value of 20 means that a 1% increase in price causes a 20% decrease in demand.

(c)At p=$20

p=20

q=200e^{-0.4*20}=200e^{-8}

\dfrac{\text{d}q}{\text{d}p}=-0.4*200e^{-0.4p}=-80e^{-0.4p}

Therefore:

E = -\dfrac{20}{200e^{-8}}*-80e^{-0.4*20}\\=\dfrac{1}{10e^{-20}}*80e^{-20}\\\\E=8

(d)At p = $20, the demand is elastic.

An elasticity value of 8 means that a 1% increase in price causes a 8% decrease in demand.

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