Savannah sells character images online. Small images take one hour to make and she sells them for $15. Large images sell for $25 and take two hours to make. Each week, Savannah can work up to 20 hours making images, and she wants to earn at least $400.

Let x represent the number of small images Savannah makes in a week, and let y represent the number of large images. Which of the following systems of inequalities models the constraints of this situation?

Savannah Sells Character Images Online. Small Images Take One Hour To Make And She Sells Them For $15.

Answers

Answer 1

Answer:

15x + 25y ≥ 400

x + 2y ≤ 20

x ≥ 0, y ≥ 0

Step-by-step explanation:

Here, we are modelling the total number of hours she can use in making images in a week and the total amount that can be earned in a week, considering the given constraints.

Number of small images in a week = x

Number of hrs in making images if it takes 1 hr to make 1 = 1*x = x

Number of large images in a week = y

Number of hrs in making large images if it takes 2 hrs to make 1 = 2*y = 2y

Given that she has up to 20 hrs to make the images, therefore, the inequality that models this situation would be:

x + 2y ≤ 20

This implies that, the hours spent altogether can be less than or equal to 20hrs

Amount for small images = $15

Amount in total for all images made in a week = $15*x = 15x

Amount for large images = $25

Amount in total for all images made in a week = $25*y = 25y

Given that she can earn AT LEAST $400 in a week, therefore, the inequality that models this situation would be:

15x + 25y ≥ 400

This implies that, the amount she wants to make in a week would be $400 or more.

The system of inequalities would be:

x + 2y ≤ 20

15x + 25y ≥ 400

x ≥ 0, y ≥ 0


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I need help please!!!!

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Answer:

d

Step-by-step explanation:

The answer is d

Hope this helps

Jennifer owes her friend $20. What does o mean in this situation?

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We need the rest of the problem a picture or something

Answer:

where is the hole question

Step-by-step explanation:

Find the value of x in the billiard table

Answers

Answer:

x=60

Step-by-step explanation:

It is an equiangulat traingle, so all of the angles will be equal. knowing that the angles of a triangle always add up to 180 degrees, you need to divide 180/3 to find the degrees of each angle.

180/3 = 60

so, x=60

A rectangle has an area of 352 square feet. Its widih is ten feet less than twice the length Find the measures of the length and width of the rectangle.​

Answers

Answer:

The Length is 16.

The width is 22.

Step-by-step explanation:

[tex]Area=Width*Length\\352=(2L-10)*(L)\\352=2L^2-10L\\0=2L^2-10L-352\\x=\frac{-b+/-\sqrt{b^2-4ac} }{2a} \\b=-10; a=2; c=-352\\ x=\frac{10+/-\sqrt{100-4(-352)*(2)} }{2*2} \\x=\frac{10+/-\sqrt{100+2816)} }{4}\\x=\frac{10+/-\sqrt{2916)} }{4}\\x=\frac{10+/-54 }{4}\\x=64/4=16[/tex]

if a sample of 35 golfers is taken from a population of 72 golfers the sample mean, x, is the mean of how many golfers scores

Answers

Answer: 35

Step-by-step explanation:

The sample mean, denoted by  (pronounced "x bar"), represents the average value of a given variable in a sample. In this case, we are trying to find the sample mean of golfers' scores.

To calculate the sample mean, we need to sum up all the individual scores in the sample and divide by the number of golfers in the sample. Given that we have a sample of 35 golfers from a population of 72 golfers, we can conclude that the sample mean, , represents the mean of the scores of these 35 golfers.

Mathematically, the formula for calculating the sample mean is:  = (x1 + x2 + x3 + ... + xn) / n where x1, x2, x3, ..., xn represent the individual scores, and n represents the sample size. Therefore, the sample mean, , is the average of the scores of the 35 golfers in the sample. To find the exact value, you would need to know the actual scores of each golfer.

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What are the 2 things we look for when trying to decide if two figures are scaled copies?

Answers

if the angles are the same, and side lengths are equally decreased or increased (depending if you are scaling up or down)

Whitney wants to buy a sweater for $36. If the sales tax rate is 8.25%, what will be
the amount of sales tax on Whitney’s purchase?

A $2.89

B $2.97

C $3.06

D $3.13

Answers

Answer:

B

Step-by-step explanation:

Find the 15th term of the geometric sequence 1, -4, 16, ...

Answers

Answer:

268,435,456

Step-by-step explanation:

Multiply by -4

Emilio’s family volunteers at the local soup
kitchen every 30 days. Emilio has swimming
lessons every 9 days. He has both activities
this Saturday. When will he have both
activities again on the same day?

Answers

Answer:

Emilio will have both activities again on the same day after 90 days from this Saturday.

Step-by-step explanation:

To solve this question list the multiples of 30 and 9 to find the first common multiple because the two activities will happen again in a number divisible by both 30 and 9.

∵ The multiples of 30 are: 30, 60, 90, 120, ............

∵ The multiples of 9 are: 9, 18, 27, 36, 45, 54, 63, 72, 81, 90, 99, .....

→ The common multiple is 90

∴ The common multiple of 30 and 9 is 90

→ That means the activities will meet again after 90 days from

   this Saturday

Emilio will have both activities again on the same day after 90 days from this Saturday.


Alice made the conjecture 5x = 30 and x = 5. Which of the following is true to her conjecture?
O True, x = 5
O True, x = -6
O False x = -5
O False, x = 6


Answers

Answer:

False, x=6

Step-by-step explanation:

5x=30

Divide 5 on both sides

5/5 leaves x

30/5=6

Bring down x

x=6

Annabelle lives at Bermondsey in London. She has to speak at a conference in Birmingham at 10.30am.

It will take her an hour from her home to get to Euston Rail
Station, from where she will get a train to Birmingham.

The train journey from Euston
to Bimingham is an hour and 10 minutes.

Trains to Birmingham run at the following times: 5 minutes past the hour, 25 minutes past the hour and 45 minutes past the hour.

The meeting venue in Birmingham is a 5-minute walk from the station.

What is the latest time that Annabelle can leave home, if she is to make it on time for
the meeting in Birmingham ?

Show your work.

HELP ME PLEASE!!!

DUE TODAY. THANK YOU SO MUCH.



Answers

If she lives in bermondesy what team do you reckon she supports I reckon she supports Charlton or Millwall

Answer:

The conference in Birmingham is at 10.30am.

She has to leave at 08.00 am from her home.

Step-by-step explanation:

Because  

• Time to get Euston Rail Station is 1 hour so she will be at station at 09.00 am.

• Trains to Birmingham run at the following times: 5 minutes past the hour, 25 minutes past the hour and 45 minutes past the hour. Which means she will get the train at 9.05 am.

• The train journey from Euston to Birmingham is an hour and 10 minutes so she will reach Birmingham station at 10.15 am.

• She will reach the meeting venue in Birmingham at 10.20 am as there is a 5-minute walk from the Birmingham station to meeting venue.

She will reach to meeting time 10 minutes earlier which will allow here to get ready for the meeting.

Note:

If we want to overcome the 10 minutes and she live 8.10 am from here home then she will reach to station at 9.10 am. According to the train timing she will get train at 09.25 am which means at the end she will get late about 10 minutes to reach the venue for the meeting.

Office Mac purchases packs of pencils from the Manufacturer for $2.00 and applies a mark-up of 40%. How much do they actually sell the pencils for?

a. $2.00

b. $0.80

c. $2.80

d. $1.20

Answers

Answer:

the answer is b

Step-by-step explanation:

because

mark-up=    profit    

                cost * 100%

making it:

40% =      0.80    

           2.00 * 100%

Thank you guys so much for all the help :)

Answers

No problem bruv!!!!!!

Answer:

29.2

Step-by-step explanation:

This technique is called the Pythagoras Theorem.

a^2+b^2=c^2

15^2+25^2=c^2

225+625=c^2

850=c^2

Take the square root out of both sides.

c= 29.1547595

Round numbers

c= 29.2

Mark me brainliest if you can. Hope this helps.

PLEASEEEE HELPPPP!!!!!!!

h(x) = 2 - 11
W
ha
- = -5

Answers

Answer:

x= 6

Step-by-step explanation:

h ( x ) = x - 11

h ( 6 ) = 6- 11

h = -5

Find the minimum sample size n needed to estimate μ for the given values of​ c, σ​, and E. c=0.98​, σ=8.7​, and E=

Answers

Answer:

The sample size n will be "52".

Step-by-step explanation:

The given values are:

c = 0.98​

σ = 8.7

Margin of error

E = 2

[tex]Z_{\frac{\alpha}{2} }=Z_{\frac{0.1}{2} }=1.65[/tex]

For 90% confidence level:

⇒  [tex]n=[\frac{Z_{\frac{\alpha}{2}}\times \sigma}{E} ]^2[/tex]

⇒     [tex]=[\frac{1.65\times 8.7}{2} ]^2[/tex]

⇒     [tex]=51.5165[/tex]

i.e.,

⇒  [tex]n=52[/tex]

The value of m varies inversely as the square of n. When n = 3 m = 6.
What is the positive value of n when m = 13.5?
(I already know C. is wrong)
A. 18
B. 2
C. 9 XXXX
D. 4

Answers

Answer:

B.]2

Step-by-step explanation:

The required positive value of n is 2. Hence, option B is correct.

Important information:

m varies inversely as the square of n.Whem n = 3, then m = 6.Inverse proportion:

It is given that m is inversely proportional to the square of n. So,

[tex]m\propto \dfrac{1}{n^2}[/tex]

[tex]m=\dfrac{k}{n^2}[/tex]           ...(i)

Where, k is the constant of proportionality.

Substitute m = 6 and n = 3 in the above equation.

[tex]6=\dfrac{k}{3^2}[/tex]

[tex]6=\dfrac{k}{9}[/tex]

[tex]6\times 9=k[/tex]

[tex]54=k[/tex]

Substitute this value in (i).

[tex]m=\dfrac{54}{n^2}[/tex]

Substitute m = 13.5 in the above equation.

[tex]13.5=\dfrac{54}{n^2}[/tex]

[tex]n^2=\dfrac{54}{13.5}[/tex]

[tex]n=\pm \sqrt{4}[/tex]

[tex]n=\pm 2[/tex]

Therefore, the required positive value of n is 2. Hence, option B is correct.

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SKILL
Given that one side of an equilateral triangle is 16, what is the area of the triangle?

Answers

Answer:

approximately 55.43 or [tex]4\sqrt{192}[/tex]

Step-by-step explanation:

1) draw line down middle of said triangle and split it in half

2) since the area of the triangle is 1/2 b * h we can solve

3) we know that the base is 8 (16 split in 1/2)

4) use the Pythagorean theorem (a^2 +b^2 = c^2) to solve for the height

5) a= 8 b= ? c= 16

6) 16^2=256 8^2= 64  256-64=b^2

7) b=[tex]\sqrt{192}[/tex]

8) [tex]\frac{1}{2} *\sqrt{192} *8= 4\sqrt{192}[/tex] or approximately 55.43

You can check by substituting the numbers back into the Pythagorean theorem and see if they match up

A cube has a volume of 8 cubic inches. What is the length of each edge of the cube?

Answers

Answer:

2in

Step-by-step explanation:

because 2x2x2=8

inverse of a*b=ab/2​

Answers

ab/2=a*b

i think if not please let me know

х2 + 3x = 8
Write the quadratic equation in standard form

Answers

Answer:

[tex]x^{2}[/tex] + 3x - 8 = 0

Step-by-step explanation:

How do you round each number to the place value of the underlined digit?

Answers

Answer:

9. 80, 547.65

10. 135,702.0

are the number 25 and 27 twin primes or co prime? why?

Answers

Answer: twin primes

Step-by-step explanation: 27 is 2 more then 25, therefore, they are twin primes.

I need help!! Thank you

Answers

Answer:

A. is correct so, -5

Step-by-step explanation:

Have a good day.

Which situation can be represented by the inequality 155 > 12x + 100 ?
Juanita saves $15 each week. Dan has already saved $100 and saves $12 each week. When
will Juanita have less money than Dan?
O Juanita saves $12 each week. Dan has already saved $100 and saves $15 each week. When
will Juanita have less money than Dan?
Juanita saves $15 each week. Dan has already saved $100 and saves $12 each week. When
will Juanita have more money saved than Dan?
Juanita saves $12 each week. Dan has already saved $100 and saves $15 each week. When
will Juanita have more money saved than Dan?
No

Answers

Answer:

What is the denotative meaning of “electrified fence”?

✔ a fence with an electric current

What is the connotative meaning of “electrified fence” in the passage?

✔ something dangerous and painful

What does the use of this phrase reveal about how the author views communism?

✔ She believes that communism is oppressive.

Step-by-step explanation:

trast me that the right answer

WILL MARK BRANLIEST Give the equation of a line which is perpendicular to the given line. b y=3x+7

Answers

Answer:

y = -1/3 x + 7

Step-by-step explanation:

The constant in the end doesn't matter; what matters is the slope. To find a perpendicular slope, all you have to do is take the reciprocal of the slope and multiply it by -1. As mentioned before, the constant in the end doesn't matter, so the answer could also be y = -1/3x + 10, y = -1/3x -1/2, etc...

Hope this helped.

Which expression correctly represents “six more than the product of five and a number, decreased by one”?
6 + 5 n minus 1
6 + 5 + n minus 1
6 + 5 (n minus 1)
(6 + 5) n minus 1

Answers

C. 6+5(n-1) correctly represents

Answer:

its b

Step-by-step explanation:

Simplify i38.
i
−1
−i
1

Answers

The value of ( i )³⁸ will be equal to -1. The correct option is B.

What is an expression?

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given expression ( i )³⁸ is the I value of the complex number. The I value of the complex number is equal to the square root of the negative one. The expression will be solved as below:-

( i )³⁸ = (√-1)³⁸

( i )³⁸ = -1

Therefore, the value of ( i )³⁸ will be equal to -1. The correct option is B.

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Evaluate
5
9
÷
5
18
jjijijij
kok

Answers

Answer:

i cant even see the words

Step-by-step explanation:

sorry i cant help

If it’s 59 divided by 518 than it’s 0.1138

help this is overdue

35 <7(2−b) or 13(15b−12)≥21

Answers

35 < 7 ( 2-b ) or 13 ( 15b-12)>= 21

35 < 14 - 7b or 195 b - 156 >= 2

35-14<-7b or 195b >= 2 + 156

21 < -7b or 195 b >= 158

b < 21/-7 or b>= 158/195

b < -3 or b >= 158/195

The simplification form of the inequality 35 <7(2−b) or 13(15b−12)≥21 is b < -3 or b  ≥  158/195.

What is inequality?

It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than known as inequality.

It is given that:

The inequality is:

35 < 7(2 − b) or 13(15b − 12) ≥ 21

After simplification:

35 < 14 - 7b or 195 b - 156 ≥  2 (using distributive property)

35-14<-7b or 195b ≥  2 + 156

21 < -7b or 195 b ≥  158

b < 21/-7 or b ≥  158/195 (division property of equality)

b < -3 or b  ≥  158/195

Thus, the simplification form of the inequality 35 <7(2−b) or 13(15b−12)≥21 is b < -3 or b  ≥  158/195.

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An analytical laboratory is asked to evaluate the claim that the concentration of the active ingredient in a specimen is 86%. The lab makes 3 repeated analyses of the specimen. The sample mean result is 0.8708. The true concentration is the mean m of the population of all analyses of the specimen. The standard deviation of the analysis process is known to be LaTeX: \sigmaσ = 0.0068. Is there significant evidence at the 1% level that LaTeX: \muμ is different than 0.86? (assume normality)

Answers

Answer:

Decision rule

   Reject null hypothesis

Conclusion

There is significance evidence that the true mean is different from 0.86

Step-by-step explanation:

From the question we are told that

  The population mean   [tex]\mu  = 0.86[/tex]

   The  sample is  mean is [tex]\=  x  =  0.8708[/tex]

  The standard deviation is  [tex]\sigma =  0.0068[/tex]

The  level of significance is  [tex]\alpha  =  0.01[/tex]

  The  sample size n =  3

The null hypothesis is  [tex]\mu =  0.86[/tex]

The alternative hypothesis  is [tex]\mu \ne  0.86[/tex]

Generally the test statistics is mathematically represented as  

    [tex]z =  \frac{\=  x  - \mu }{ \frac{\sigma}{\sqrt{n} } }[/tex]

=> [tex]z =  \frac{ 0.8708 - 0.86 }{ \frac{0.0068}{\sqrt{3} } }[/tex]

=>  [tex]z =  2.751  [/tex]  

Generally  p- value is mathematically represented as

       [tex]p-value =  2 P(z >2.751   )[/tex]

From the z-table  

        [tex]P(z >2.751 ) =  0.0029707[/tex]

So

     [tex]p-value =  2 *  0.0029707[/tex]

=>   [tex]p-value =  0.00594 [/tex]

From the obtained question we see that  [tex]p-value  <  \alpha[/tex]

Hence we reject the null hypothesis

 

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