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Alex Ar [27]
3 years ago
13

Emily knows that the area of a rectangle is 54x9y8 square yards and that it’s length 6x3y4 yards. If she divides the area by the

length to find the width, then which expression represents the width of her rectangle in yards?
Mathematics
1 answer:
pogonyaev3 years ago
3 0

Answer:

Width of rectangle = \mathbf{9x^6y^4} yards

Step-by-step explanation:

The area of a rectangle = 54x^9y^8

The length of rectangle = 6x^3y^4

We need to find the width of rectangle.

The formula used is:

Area=Length\times Width

Putting values and finding width of rectangle

Area=Length\times Width\\54x^9y^8=6x^3y^4\times Width\\Width=\frac{54x^9y^8}{6x^3y^4}

Using exponent rule: \frac{a^m}{a^n}=a^{m-n}

Width=9x^{9-3}y^{8-4}\\Width=9x^6y^4

So, we get Width of rectangle = \mathbf{9x^6y^4} yards

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artcher [175]

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281.900

Step-by-step explanation:

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Determine the type and number of solutions of −4x2 − 3x + 7 = 0.
Kaylis [27]

Answer:

Step-by-step explanation:

You have to use the discriminant for this. If the quadratic is -4x^2-3x+7, then

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D=(-3)^2-4(-4)(7) which simplifies down to

D = 9 + 112 so

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7 0
3 years ago
n automobile manufacturer claims that its van has a 37.4 miles/gallon (MPG) rating. An independent testing firm has been contrac
JulsSmile [24]

Answer:

Then z(s) is out of the acceptance region, we reject H₀,  doubts of the independent testing firm are valids

Step-by-step explanation:

We will develop a Hypothesis Test ( a 2 tail test since the independent testing firm is interested in finding out  if there is an incorrect MPG rating from the manufacturer

Test Hypothesis :

Null hypothesis                             H₀            μ    =    μ₀

Alternative Hypothesis                Hₐ             μ    ≠    μ₀

Significance Level   α  = 0,05    α/2  =  0,025

z(c) for α/2   from z-table      z(c)  = - 1, 96   and by symmetry  z(c) = 1,96

Calculating  z(s)

z(s) =  ( μ  -  μ₀ ) / σ /√n

z(s) = ( 37,8 - 37,4 ) / 2,3 /√280

z(s) = 0,4 * 16,73 / 2,3

z(s) = 2,90

Comparison between z(c)  and  z(s)

z(s) > z(c)       2,90 > 1,96

Then z(s) is out of the acceptance region, we reject H₀,  doubts of the independent testing firm are valids

8 0
2 years ago
Find the percent decrease round to the nearest percent from 93 Fahrenheit to 58 Fahrenheit the percent decrease is what percent
Elden [556K]

Answer:

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Step-by-step explanation:

  • Initial value = 93 F
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Decrease

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Percent decrease

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3 years ago
What is the area of this triangle?
Ludmilka [50]

Answer:

area = 1/2 *base* height

= 1/2 * 12* 9

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right triangle...

Hope this helps...

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