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Gekata [30.6K]
3 years ago
14

Rachelhasalreadywritten10pages,andsheexpectstowrite1pageforeveryadditionalhourspentwriting.HowmanyhourswillRachelhavetospendwrit

ingthisweekinordertohavewrittenatotalof27pages?
Mathematics
1 answer:
AleksAgata [21]3 years ago
4 0

Answer:

17 hours

Step-by-step explanation:

Rachel has already written 10pages, and she expects to write 1page for every additional hour spent writing. How many hours will Rachel have to spend writing this week in order to have written a total of 27pages?

The illustration can be modelled using the equation

y = 10 + 1(x)

y = 10 + x

Where,

y = total number of pages

x = number of hours

10 = pages already written

If y = 27 pages, find x

y = 10 + x

27 = 10 + x

27 - 10 = x

17 = x

x = 17 hours

Rachel have to spend 17 hours writing this week in order to have written a total of 27pages

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A company manufactures and sells x monitors each hour. The hourly price and cost equations are: p=500-0.8x C(x)=4x+6000 a. Given
JulsSmile [24]

Answer:

The revenue function is given as

R(x) = 500x - 0.8x²

Step-by-step explanation:

Given the Price equation

P = 500 - 0.8x

and the Cost equation

C(x) = 4x + 6000

The revenue function is given as

R(x) = xP

But P = 500 - 0.8x

So

R(x) = x(500 - 0.8x)

= 500×x - 0.8x×x

= 500x - 0.8x²

R(x) = 500x - 0.8x²

3 0
3 years ago
The mean annual tuition and fees for a sample of 14 private colleges in California was $37,900 with a standard deviation of $7,2
JulijaS [17]

Answer:

Z_{0.005}>Z H₀ is wrong and other is correct. IT means $35000 is not mean value.

Step-by-step explanation:

Two hypothesis:

H₀=$35,000

Hₐ≠$35,000

Test Formula:

Z=\frac{(X-u)}{\frac{S}{\sqrt{n} } }

Where:

X is the mean value=$37,900

u is the value with 0.01 significance=$35000

S is the standard deviation

n is the sample size

Z=\frac{(37900-35000)}{\frac{7200}{\sqrt{14} } }

Z=1.507

Z with 0.01 significance:

0.01/2=0.005=0.05%

Degrees of freedom=14-1=13

From t distribution table at 0.05% and 13 dof:

Z_{0.005}=4.221

So

Z_{0.005}>Z H₀ is wrong and other is correct. IT means $35000 is not mean value.

7 0
4 years ago
AB and BA name the same ray
OlgaM077 [116]
Do you have a diagram i can see?


4 0
4 years ago
Read 2 more answers
The fraction a/b is in simplest terms and equal to the following:((2020^3)-1)/((2021^3)+1) . What is a + b?
blagie [28]

Consider the expression

\dfrac{x^3-1}{(x+1)^3+1}

Factorize the numerator and denominator a difference/sum of cubes:

\dfrac{(x-1)(x^2+x+1)}{((x+1)+1)((x+1)^2-(x+1)+1)}

Expand the denominator:

\dfrac{(x-1)(x^2+x+1)}{(x+2)((x^2+2x+1)-(x+1)+1)}=\dfrac{(x-1)(x^2+x+1)}{(x+2)(x^2+x+1)}=\dfrac{x-1}{x+2}

since <em>x</em> = 2020, and clearly 2020² + 2020 + 1 ≠ 0, so we can cancel the factor of <em>x</em> ² + <em>x</em> + 1. This leaves us with

\dfrac{2020^3-1}{2021^3+1} = \dfrac{2020-1}{2020+2} = \dfrac{2019}{2022}=\dfrac{673}{674}=\dfrac ab

so that <em>a</em> + <em>b</em> = 673 + 674 = 1347.

7 0
3 years ago
Find the area of the circle below:<br> 4 in<br> Round to the nearest TENTHS place.
yawa3891 [41]

Answer:

12.56 =13

Step-by-step explanation:

Area of Circle is =

\pi \: r  ^{2}

R=2 in

Putting value of r in formula.

Area of Circle =12.56=13

Please mark branliest if you satisfied with the answer. Thanking you in anticipation.

8 0
3 years ago
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