XYZ Inc. produces two types of paper towels?regular and super-soaker. Regular uses 2 units of recycled paper per unit of production, and super-soaker uses 3 units of recycled paper per unit of production. The total amount of recycled paper available per month is 10,000. Let X1 be the number of units of regular produced per month and X2 the number of units of super-soaker produced per month. The appropriate constraint/s will be:_________

A) 2X1 + 3X2 = 10000

B) 180X1 + 80X2 geq 360

C) 2X1 + 3X2 geq 10000

D) 2X1 = 3X2

E) A, B, and C

Answers

Answer 1

Answer:

The appropiate constraint is:

[tex]2X_1+3X_2\leq10,000[/tex]

Step-by-step explanation:

There is only one restriction in this problem, and that is the available units of recycled paper per month.

There is a total of 10,000 units.

Regular paper (X1) uses 2 units per unit of production and Super-soaker (X2) uses 3 units per unit of production.

The total units used for both types of paper are:

[tex]2X_1+3X_2[/tex]

This amount has to be equal or smaller than the available (10,000 units):

[tex]2X_1+3X_2\leq10,000[/tex]

Answer 2

The appropriate constraint/s for the units of production being made by XYZ Inc is;

2X₁ + 3X₂ ≤ 10000

We are told that;

X₁ is the number of units of regular produced per month

X₂ the number of units of super-soaker produced per month.

we are told that;

Regular uses 2 units of recycled paper per unit of production. This is 2X₁

Also, we are told that super-soaker uses 3 units of recycled paper per unit of production. This is 3X₂.

We are now told that The total amount of recycled paper available per month is 10,000.

This means that;

2X₁ + 3X₂ ≤ 10000

The symbol less than or equal to is used because it is not possible for the 10000 to be exceeded as that is the amount available and also it's possible less than the 10000 may be used.

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Related Questions

Find the number of unique permutations of the letters in the word: EXTENT
720
180
900
36

Answers

Answer:

180

Step-by-step explanation:

A word has n letters.

There are m repeating letters, each of them repeating [tex]r_{0}, r_{1}, ..., r_{m}[/tex] times

So the number of distincts ways the letters can be permutated is:

[tex]N_{A} = \frac{n!}{r_{1}! \times r_{2}! \times ... \times r_{m}}[/tex]

In this question:

Extent has 6 letters.

E and r repeat 2 times. So

[tex]N = \frac{6!}{2!*2!} = 180[/tex]

So the answer is 180.

A builder buys a piece of property with 16.1 acres of land to develop a new set of walking trails and baseball fields. The builder plans to use 0.33 of the property for baseball fields. How many acres will the builder use for the baseball fields?

Answers

Answer:

The builder will use 5.28 acres of land for baseball fields.

Step-by-step explanation:

This question can be solved using a rule of three.

The property has 16.1 acres of land. This is 100% = 1. 33% will be used for baseball fields. How much is 0.33?

16.1 - 1

x - 0.33

[tex]x = 16*0.33 = 5.28[/tex]

The builder will use 5.28 acres of land for baseball fields.

Find the unit rate.
Kenny reads
3/8 page in 2/3 minutes.

Answers

Answer:

15/ 16  

Step-by-step explanation: 3/2 x 5/8=  15/16

you flip 2/3 to 3/2 and multiply it

Which graph shows the solution set for 2 x + 3 greater-than negative 9? A number line going from negative 8 to positive 2. An open circle is at negative 3. Everything to the left of the circle is shaded. A number line going from negative 8 to positive 2. An open circle is at negative 3. Everything to the right of the circle is shaded. A number line going from negative 8 to positive 2. An open circle is at negative 6. Everything to the left of the circle is shaded. A number line going from negative 8 to positive 2. An open circle is at negative 6. Everything to the right of the circle is shaded.

Answers

Answer:

3

Step-by-step explanation:

because is a hcsbjmcscin C d

Answer:

the right answer is x = 3 and x= -1/2

Step-by-step explanation:

I took the test.

100 POINTS PLEASE ANSWER IM BEGGING YOU!!!!!!

Answers

Answer:

[tex]4 \sqrt{5}[/tex]

Step-by-step explanation:

[tex]\sqrt{80}[/tex]

80 can be written as a product of 16 and 5.

[tex]\sqrt{16 \times 5}[/tex]

Distribute the square root to both terms.

[tex]\sqrt{16} \times \sqrt{5}[/tex]

16 is a perfect square 4×4.

[tex]4 \times \sqrt{5}[/tex]

Answer:

4 * sqrt(5)

Step-by-step explanation:

sqrt(80)

sqrt(16*5)

We know that sqrt (ab) = sqrt(a) sqrt(b)

sqrt(16) sqrt(5)

4 * sqrt(5)

Drag each tile to the correct location. Not all tiles will be used.

The ratio of the lengths of the radii of two spheres is 5 : 8. What is the ratio of the surface area of the smaller sphere to the surface area of the larger sphere?

1
5
8
25
40
64
125
512

Answers

Answer:

25:64

Step-by-step explanation:

surface : 4×pi×R^2

R1 = 5x

R2 =8x

4piR1^2 / 4piR2^2 = R1^2/R2^2 = 5x^2/8x^2 = 25x^2/64x^2 = 25/64

A polar bear migrate north during winter to hunt for its food on sea ice. The daily average temperature decreases 3°C for every 100 km traveled. At the start of the bear's journey, the temperature is 2"C. What is the temperature after 200 km of its journey ?

Answers

Answer:

The average temperature after 200 kilometers of journey is -4 °C.

Step-by-step explanation:

The situation shows that change in average temperature is directly proportional to travelled distance:

[tex]T = 2^{\circ}C - \frac{3^{\circ}C}{100\,km} \cdot (200\,km)[/tex]

[tex]T = -4^{\circ}C[/tex]

The average temperature after 200 kilometers of journey is -4 °C.

Answer:

The temperature after 200 km of its journey is -4°C

Step-by-step explanation:

To find the new temperature, first, you need to find how much the temperature decreases, and then subtract this temperature decrease to the initial temperature.

The temperature decreases 3°C for every 100 km travelled, then, after 200 km the temperature decreases 2*3 = 6 °C.

At the start of the bear's journey, the temperature was 2 °C, after 200 km the temperature is 2 - 6 = -4°C

Write using only positive exponents. 16x^4z^4/36x-2yz^0

Answers

Answer:

Step-by-step explanation:

16x^4y^-3z^4 / 36x^-2yz^0

16x^4y^-3z^4 = 16x^4z^4/y^3

36x^-2yz^0 = 36x^-2y(1) =36x^-2y = 36y/x^2

16x^4y^-3z^4 / 36x^-2yz^0

= (16x^4z^4/y^3) / (36y/x^2)

= 16x^4z^4/y^3 * x^2/36y  

= (4/9)x^6z^4/y^4

or another way

fist multiply it out

f(x) = 4x^(3/5) - x^(8/5)

now differentiate knowing d/dx(x^n) = n x^(n-1)

to get

4*(3/5) x^(-2/5) - 8/5 x^(3/5)

simplify to get

12/5/x^(2/5) -   8/5 x^(3/5)

If this is what your looking for please give me brainiest, i have done this problem in the past so i know how to solve it :)

What is the end behavior of the graph of the polynomial function f(x)=3x^6+30x^5+75x^4

Answers

Answer:

Step-by-step explanation:

The answer is (6y+5x)-(5y=7u)

Triangle RST is drawn inside rectangle RSNM. Point T is halfway between points M and N on the rectangle. The length of side RS is 9 in. and the length of side RM is 8 in. Show your work

Answers

The question is not complete. The complete question is;

Triangle RST is drawn inside rectangle RSNM. Point T is halfway between points M and N on the rectangle. The length of side RS is 9 in. and the length of side RM is 8 in.

1) What is the area of triangle RST?

2)What is the ratio of area of  triangle RST to area of triangle RMT?

3) What is the area of rectangle RSMN to area of triangle TSN?

Diagram is attached.

Answer:

1) 36 sq.in

2) 2:1

3) 4:1

Step-by-step explanation:

1) Area of triangle is; ½ × base × height.

For triangle RST, base = 9 in and height = 8 in

Thus, area of triangle RST = ½ × 9 × 8

= 36 sq.in

2)Area of triangle RMT = ½ × 8 × 9/2

= 18 sq.in

Ratio of area of RST to area of RMT = 36/18 = 2:1

3)Area of triangle TSN = ½ × 8 × 9/2 = 18 sq.in

Area of Rectangle RSNM = Length x width = 9 × 8 = 72 sq.in

Ratio of Area of Rectangle RSNM to Area of triangle TSN  = 72/18 = 4:1

Solve: x=4+(4x-4)1/2 x = 2
x = 10
x = 2 or x = 10
no real solution

Answers

Answer:

No real solution- Not any of the options anyway

Step-by-step explanation:

So I replaced the x's with the two possible equations and then tried to solve...

2=4+(4x2-4)1/2

2=4+(8-4)1/2

2=4+(4)1/2

2=8(1/2)

2=4   Which is not true

10=4+(4x10-4)1/2

10=4+(40-4)1/2

10=4+36(1/2)

10=40(1/2)

10=20 Which is also not true

Therefore, there is no real solution

Answer:

B: x = 10 on Edge 2020

Step-by-step explanation:

Sa piajes egne baseball games this season. Her point totais for each game were 8. 14.4 7.6.14, 4 and 7. What was
the mean number of points she scoret per game?

Answers

Answer:

The mean number of scores per game is 8

Step-by-step explanation:

Since we know we can find the mean by adding all the numbers and dividing them by many numbers there were. Once you add 8, 14, 4, 7, 6, 4, and 7, you will get 64. Since there were 8 numbers, you divide 64 by 8 to get 8.

To the nearest tenth, find the area of a circle with d = 15km. Use 3.14 for . Remember: you must find the radius before you use the formula

Answers

Answer:

radius r = 7.5 km

diameter d = 15 km

circumference C = 47.1238898 km

area A = 176.714587 km2

Step-by-step explanation:

math

Whats happens when the value of the expression c + 2 as c increase

Answers

Answer:

c+2 increases linearly with c. That means that if c increases by 1, c+2 will increase by 1; if by 2, c+2 will increase by 2.

Step-by-step explanation:

According to the most recent census, the average total yearly expenses of households in Wake County is $45,900. It is also known that the distribution of household expense in Wake County is strongly skewed to the right with a standard deviation of $8,370. A researcher is going to randomly select a sample of 7 households from Wake County.
1. Which of the following is true?
Select all that apply:
a. The sampling distribution of the sample mean will have a smaller standard deviation than the population.
b. The sampling distribution of the sample mean will have a different standard deviation than the population.
c. The shape of the sampling distribution of the sample mean will be skewed right.
d. The sampling distribution of the sample mean will have a larger standard deviation than the population.
e. We cannot tell what the shape of the sampling distribution of the sample mean will look like.
f. The shape of the sampling distribution of the sample mean will be approximately symmetric.

Answers

Answer:

a. The sampling distribution of the sample mean will have a smaller standard deviation than the population.

b. The sampling distribution of the sample mean will have a different standard deviation than the population.

c. The shape of the sampling distribution of the sample mean will be skewed right.

Step-by-step explanation:

Gavin, Colin and Dan share some sweets in the ratio 7:3:2. Gavin gets 75 more sweets than Dan. How many sweets does Colin get?

Answers

Answer:

45 sweets.

Step-by-step explanation:

Gavin gets 7(7+3+2) = 7/12 of the sweets.

Dan gets  2 /12  so   Gavin gets 7/2 times as much as Dan

Let Dan get x sweets then

x + 75 = 7x /2

7x/2 - x = 75

5x/2 = 75

x = 75 * 2/5 = 30 sweets.

So Dan gets 30 sweets , Gavin gets 105 sweets and  Colin gets  3/2 * 30

= 45 sweets.

plz Help your fav. Marshmello i wasn' t,,,,, xx born yesterday.

Answers

Answer:

x=9

Step-by-step explanation:

first you would distribute the -4 and the -12

-24x-12=-12x-120

Then you would add 120 to both sides

-24x+108=-12x

Then add 24x to both sides

108=12x

Then divide both sides by 12

x=9

Answer:

[tex]x = 9[/tex]

Step-by-step explanation:

[tex] - 4(6x + 3) = - 12(x + 10) \\ - 24x - 12 = - 12x - 120 \\ - 24x + 12x = 12 - 120 \\ - 12x = - 108 \\ \frac{ - 12x}{ - 12} = \frac{ - 108}{ - 12} \\ x = 9[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Students at a certain school were​ surveyed, and it was estimated that 20​% of college students abstain from drinking alcohol. To estimate this proportion in your​ school, how large a random sample would you need to estimate it to within 0.08 with probability 0.95​, if before conducting the study​ (a) you are unwilling to predict the proportion value at your school and​ (b) you use the results from the surveyed school as a guideline.

Answers

Answer:

a) A sample size of at least 251 students is needed.

b) A sample of at least 97 students is needed.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

The margin of error is:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

95% confidence level

So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].

(a) you are unwilling to predict the proportion value at your school

We need a sample size of at least n.

n is found when M = 0.08.

We wont predict a proportion value for the school, so we use [tex]\pi = 0.5[/tex]

So

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]0.08 = 1.96\sqrt{\frac{0.5*0.5}{n}}[/tex]

[tex]0.08\sqrt{n} = 1.96\sqrt{0.5*0.5}[/tex]

[tex]\sqrt{n} = \frac{1.96\sqrt{0.5*0.5}}{0.08}[/tex]

[tex](\sqrt{n})^{2} = (\frac{1.96\sqrt{0.5*0.5}}{0.08})^{2}[/tex]

[tex]n = 150.1[/tex]

Rounding up

A sample size of at least 251 is needed.

(b) you use the results from the surveyed school as a guideline.

Now we have that [tex]\pi = 0.2[/tex]

So

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]0.08 = 1.96\sqrt{\frac{0.2*0.8}{n}}[/tex]

[tex]0.08\sqrt{n} = 1.96\sqrt{0.2*0.8}[/tex]

[tex]\sqrt{n} = \frac{1.96\sqrt{0.2*0.8}}{0.08}[/tex]

[tex](\sqrt{n})^{2} = (\frac{1.96\sqrt{0.2*0.8}}{0.08})^{2}[/tex]

[tex]n = 96.04[/tex]

Rounding up

A sample of at least 97 students is needed.

Help me please and thank you

Answers

Answer:

increasing

Step-by-step explanation:

y = 1/2x +2

This function is increasing because the slope is positive.

solve 5tanx= 5sqrt3 for 0

Answers

Answer:

60 degrees

Step-by-step explanation:

5 tan x = 5 root 3

tan x = root 3

sin x / cos x = root 3

(root(3) / 2) / (1/2) = root 3

sin x = root(3)/2

cos x = 1/2

x = 60 degrees

Find the slope-intercept form of the equation of the line
passes through the point (-5, -4) and has slope 4.​

Answers

Answer:

y= 4x +16

Step-by-step explanation:

slope-intercept form:

y=mx+c, where m is the gradient and c is the y-intercept

Given that the slope is 4, m=4.

y= 4x+c

To find the value of c, substitute a coordinate.

When x= -5, y= -4,

-4= 4(-5) +c

-4= -20 +c

c= 20 -4

c=16

Thus, the equation of the line is y= 4x+16.

plz help me this is hard for me​

Answers

Answer:

it is so simple lol

Step-by-step explanation:

just know that that angle is 90 degrees which means that you should do 90-41

Answer:

49

Step-by-step explanation:

90*-41*=49

Determine if the set is a Pythagorean triple

Answers

Answer:

Pythagorean Triples are sets of whole numbers for which the Pythagorean Theorem holds true. The most well-known triple is 3, 4, 5. This means that 3 and 4 are the lengths of the legs and 5 is the hypotenuse.

What is 0.05% written as a decimal

Answers

Answer:

Any percentage cam be written as a part of 100

0.05% = 0.05/100 = 0.0005

I hope this helps you

Answer: .0005

Step-by-step explanation:

Move 2 spaces to the left

write 820.341 in scientific notation​

Answers

It is =8.20341 x 10^2

When the volume of a gas is

changed from mL to 852 mL,

the temperature will change from

315°C to 452°C.

Answers

Answer: The initial volume is 593.76mL

Step-by-step explanation:

As you do not say anithing about the pressure, i guess that the pressure remains constant.

If the gas is an ideal gas, we have:

P*V = n*R*T

where P is pressure, n is number of moles and R is a constant.

Now, initially we have:

P*Vi = n*R*315°C

finally we have:

P*825mL = n*R*452°C

Now we can take the quiotient of those two equations and get:

(P*Vi)/(P*852mL) = (n*R*315°C)/( n*R*452°C)

Now we have:

Vi/852mL = 315/452

Vi =  (315/452)*852mL = 593.76mL

So when we expand the gas at constant pressure, we increase the temperature.  

Answer:

691 mL

Step-by-step explanation:

If the first three Fibonacci nos. are x1=1, x2=1 and x3=2, what is the value of n for which xn + xn+1 = 89 ?

Answers

Answer:

11

Step-by-step explanation:

Looking at Fibonacci numbers ;

We have:

Than X1 =1 ; X2 = 1; X3 = 2

Xn+1 = Xn + Xn-1

X3 = X2 + X1 = 1+1 =2; X4 = X3 + X2 = 2 +1 = 3; X5= X4+X3 = 3+2 = 5; X6 = X5 + X4 = 5 + 3 = 8; X7 = X6 +X5 = 8 +5 = 13; X8 = X7 + X6 = 13 + 8 = 21; X9 = X8 + X7 = 21+ 13 = 34 ; X10 = X9 + X8 = 34 +21 = 55 ; X11 = X10 + X9 = 55 +34 = 89

We see that ; X11 gives 89 so the value of n = 11

How many points appears in this figure ?

Answers

Answer:

5?

Step-by-step explanation:

I think you would count the middle point. But i don't completely know...

4(1 - x) + 2 x= -3( x + 1)

Answers

Answer:

x = -7

Step-by-step explanation:

Solve for x:

4 (1 - x) + 2 x = -3 (x + 1)

4 (1 - x) = 4 - 4 x:

2 x + 4 - 4 x = -3 (x + 1)

2 x - 4 x = -2 x:

-2 x + 4 = -3 (x + 1)

Expand out terms of the right hand side:

4 - 2 x = -3 x - 3

Add 3 x to both sides:

3 x - 2 x + 4 = (3 x - 3 x) - 3

3 x - 3 x = 0:

3 x - 2 x + 4 = -3

3 x - 2 x = x:

x + 4 = -3

Subtract 4 from both sides:

x + (4 - 4) = -4 - 3

4 - 4 = 0:

x = -4 - 3

-4 - 3 = -7:

Answer:  x = -7

Answer:

X=-7

Step-by-step explanation:

What is the answer for numbers 9 and 10

Answers

Answer:

I think they're both trick questions because there are no like terms

Step-by-step explanation:

9) no like terms
10) no like terms
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