Answer:
90 16-oz cases and 30 20-oz cases will maximize resin and time use120 16-oz cases will maximize profitStep-by-step explanation:
Let x represent the number of cases of 16-oz cups produced.
Let y represent the number of cases of 20-oz cups produced.
The limitation imposed by available production time is ...
x + y ≤ 15·8 = 120 . . . . maximum number of cases produced in a day
The limitation imposed by raw material is ...
14x +18y ≤ 1800 . . . . . maximum amount of resin used in a day
__
The point of intersection of the boundary lines for these inequalities can be found using substitution:
14(120- y)+18y = 1800
4y = 120 . . . . . subtract 1680, simplify
y = 30
x = 120 -30 = 90
This solution represents the point at which production will make maximal use of available resources. It is one boundary point of the "feasible region" of the solution space.
__
The feasible region for the solution is the doubly-shaded area on the graph of these inequalities. It has vertices at ...
(x, y) = (0, 100), (90, 30), (120, 0)
The profit for each of these mixes of product is ...
(0, 100): 25·0 +20·100 = 2000
(90, 30): 25·90 +20·30 = 2850 . . . . uses all available resources
(120, 0): 25·120 +20·0 = 3000 . . . . maximum possible profit
The family can maximize their profit by producing only 16-oz cups at 120 cases per day.
Answer:
90 16-oz cases and 30 20-oz cases will maximize resin and time use
120 16-oz cases will maximize profit
Step-by-step explanation:
) 5 is subtracted from one-fourth part of the product of 12 and 3 and multiplied
by 2.
e) 7 is subtracted from the quotient of 48 divided by the sum of 5 and difference
Step-by-step explanation:
the first answer is 72 as it is it
Answer:
The answer is 8.
Step-by-step explanation:
The product of 12 and 3 is 36. One-fourth of 36 is 9. 5 subtracted from 9 is 4.
is 0.99 an repeating number
Answer:
no its not
Step-by-step explanation:
a repeating decimal is one that repeats a number but this is a terminating decimal since it stops.
Graph y=-x2-170! Help.pllss
I have included a picture of the graph (click/tap on it to see the full picture.) I hope this helps! If there's anything else I can do please comment on this answer! If this did help please rate, thanks, and mark brainliest :)
which is the first step in solving the inequality m-2/6 < - 1? Multiply both sides by 6 Add 2 to both sides Change the direction of the inequality Change the inequality to <=
Answer:
Multiply both side by 6
Step-by-step explanation:
(m-2)/6 < - 1
Multiply both side by 6
(m-2)/6*6 < - 1*6
m-2 < -6
Add 2 m-2+2 < -6+2
m < -4
Answer:A
Step-by-step explanation:
Find the probability of rolling a three first and then a ten when a pair of dice is rolled twice
Answer: 0.0046
Step-by-step explanation:
First, let's calculate the total number of outcomes that you can see from a pair of dice.
Each dice has 6 options, so the total number of combinations is:
6*6 = 36.
Now, the combinations that are equal to 3 are:
3 and 1
1 and 3
2 combinations.
So the probability is equal to the quotient between the number of combinations that are equal to 3, and the total number of combinations:
P = 2/36 = 0.055
Now, the combinations that are equal to 10 are:
5 and 5
4 and 6
6 and 4.
3 combinations.
Then the probability is:
P = 3/36 = 0.0833
Now, the probability of both events happening is equal to the product of the probabilities for each event, so the total probability is equal to:
P = ( 0.0833)*( 0.055) = 0.0046
Write the function in standard form.
Y=(3x-2)(3x+6)
Answer:
y = 9x^2 + 12x - 12.
Step-by-step explanation:
y = (3x - 2)(3x + 6)
y = 9x^2 - 6x + 18x - 12
y = 9x^2 + 12x - 12.
Hope this helps!
Write an equation of a line with the given slope and y-intercept. m = 1, b = 4 a) y = x – 4 b) y = –1x + 4 c) y = x + 4 d) y = 4x + 1
Answer:
y = x+4
Step-by-step explanation:
The slope intercept form of a line is
y = mx+b where m is the slope and b is the y intercept
y = 1x+4
y = x+4
Answer:
[tex]\boxed{y=x+4}[/tex]
Step-by-step explanation:
The slope-intercept form of a line:
[tex]y = mx+b[/tex]
m is the slope and b is the y-intercept
[tex]m=1\\b=4[/tex]
[tex]y = 1x+4[/tex]
In a word game, you choose a tile from a bag, replace it, and then choose another. If there are 8 vowels and 12 consonants, what is the probability you will choose a consonant first and then a vowel?
Answer: 6/25
Step-by-step explanation:
Number of vowels = 8
Number of consonants = 12
Total number of tiles in bag = (number of vowels + number of consonants)
Total = (12 + 8) = 20
Probability = (required outcomes / total possible outcome)
Probability of choosing a consonants = (number of consonants / total number of word tiles)
P( consonants) = 12 / 20 = 3/5
Since it is with replacement, total number of word tiles will still be 20
Probability of choosing a vowel = (number of vowels / total number of word tiles)
P( vowels) = 8 / 20 = 2/5
Therefore,
P(constant then vowel) = 3/5 * 2/5 = 6/25
find the value of x.
Answer:
A. 7
Step-by-step explanation:
The problem is poorly specified, so technically cannot be answered with a specific number.
If we assume the "horizontal" lines are all parallel, then the one marked 21-x has a length that is the average of the other two:
(17 +11)/2 = 21 -x
14 = 21 -x
x = 21 -14 = 7
The value of x is 7.
_____
The attachment shows what happens when the lines are not parallel. The range of the midline lengths is from 3 to 14 for the segment lengths shown.
Jan wants to lay sod on this lot. How
much sod does he need?
In sq.ft.
Type in your response.
Answer:
148.5 sq. ft.
Step-by-step explanation:
Since Jan wants to lay sod on it, Sod required will be equal to area of the lot.
Lot is in trapezium shape
area of trapezium is given by = 1/2(sum of parallel sides) height
parallel sides has length 15 and 18 feet
sum of parallel sides = (15+18) = 33
height = 9 feet
thus area of lot = 1/2(33)9 = 148.5
Thus, Jan will need 148.5 sq. ft of sod.
What is 5,000 - 245( 30/2))?
Answer:
1,325
Step-by-step explanation:
30 /2
= 155,000 - 245(15)
= 5,000 - 3,675
= 1,325
Answer:
1,325
Step-by-step explanation:
Write the equation of the line that passes through (–2, 1) and is perpendicular to the line 3x – 2y = 5.
Answer:
y = [tex]-\frac{2}{3} x[/tex] - [tex]\frac{1}{3}[/tex]
Step-by-step explanation:
The line (l1) passes through (-2, 1) and is perpendicular to the line whose equation is;
3x - 2y = 5
Converting this equation to slope intercept form gives;
2y = 3x - 5
y = 1.5x - 2.5
Let the slope of the perpendicular line (l2) be m(PERP).
The product of slopes of two perpendicular lines is -1
The slope of our first line (l1) = 1.5
So 1.5 × m(PERP) = -1
m(PERP) = -1 ÷ 1.5 = [tex]-\frac{2}{3}[/tex]
Taking another point (x,y) on line (l2);
[tex]\frac{y - 1}{x + 2} = -\frac{2}{3}[/tex]
Cross multiplying this gives;
y = [tex]-\frac{2}{3} x[/tex] - [tex]\frac{1}{3}[/tex]
which is the equation of our second line (l2).
se tiene que embaldosar el patio interior de un edificio con baldosas cuadradas de 30 cm de lado. El patio es rectangular y sus medidas son 10 m por 12 m. ¿cuantas baldosas se necesitaran?
Answer:
40,000 baldosas
Step-by-step explanation:
Lo primero que debemos hacer aquí es calcular el área del patio rectangular.
El mejor enfoque para esto es convertir primero sus medidas a centímetros
Matemáticamente, 100 cm = 1 m, entonces 10 m se convierten en 1000 cm y 12 m se convierten en 1200 m.
El área de un rectángulo es L * B y, por lo tanto, tenemos 1200 * 1000 = 1,200,000 cm ^ 2
Ahora, para saber la cantidad de azulejos que tendrá el patio, necesitaremos dividir el área del patio por el área de los azulejos
Matemáticamente, eso sería 1,200,000 / 30 = 40,000 fichas
A recliner that regularly sells for $798 was on sale for 35% off the regular price.What is the sale price?
Answer:
2,280
Step-by-step explanation:
In a recent year 5 out of 6 movies cost between $50 and $99 million to make. At this rate, how many movies in a year with 687 new releases would you predict to cost between $50 and $99 million to make
Answer:
573 movies
Step-by-step explanation:
Here, we have 5 out of 6 movies having that cost
Therefore the rate we will be working with is 5/6
Now there are 687 new releases, the value that cost the given price range will be; 5/6 * 687 = 572.5 which is approximately 573
A bin has 5 white balls and k black balls in it, where k is an unknown positive integer. A ball is drawn at random from the bin. If a white ball is drawn, the player wins 1 dollar, but if a black ball is drawn, the player loses 1 dollar. If the expected loss for playing the game is 50 cents, then what is k?
Answer:
Step-by-step explanation: The expected loss is 50 cents, we know that it is more likely to lose than win. It is therefore difficult to get-50, so the overall difference between the two possibilities is 2, 50/200=1/4, and the probability to win is 1/4, and the probability to lose is 3/4. Since (1/4)*3=3/4, the number of black balls is 3 times the number of white balls, so k=15.
A spinner has four equal-sized sections that are red, yellow, blue, and green. Write the sample space if the spinner is spun two times. Use abbreviations if you wish.
Answer:
{RR,RY,RB,RG,YR,YY,YB,YG,BR,BY,BB,BG,GR,GY,GB,GG}
Step-by-step explanation:
A spinner has four equal-sized sections that are red(R), yellow(Y), blue(B), and green(G).
If the spinner is spun two times, the sample space is given as follows.
{RR,RY,RB,RG,YR,YY,YB,YG,BR,BY,BB,BG,GR,GY,GB,GG}
Golden Corral charges $11 for a buffet plus $1 for each drink. Western Sizzlin charges $9 for a buffet plus $2 for each drink. Which restaurant has the best deal? Verify that the intersection point show in your graph is a solution for both equations
Answer:
At 2 drinks, the prices are equal. For 1 drink, Western Sizzlin is better since the buffet price is lower. From 3 drinks and up, Golden Corral is better.
Step-by-step explanation:
"Golden Corral charges $11 for a buffet plus $1 for each drink."
d + 11
"Western Sizzlin charges $9 for a buffet plus $2 for each drink."
2d + 9
Set the 2 cost functions equal:
2d + 9 = d + 11
d = 2
At 2 drinks, the prices are equal. For 1 drink, Western Sizzlin is better since the buffet price is lower. From 3 drinks and up, Golden Corral is better.
Please answer this in two minutes
Answer:
∠ G ≈ 38.9°
Step-by-step explanation:
Using the cosine ratio in the right triangle
cos G = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{GH}{GI}[/tex] = [tex]\frac{7}{9}[/tex] , thus
∠ G = [tex]cos^{-1}[/tex] ([tex]\frac{7}{9}[/tex] ) ≈ 38.9° ( to the nearest tenth )
There are six poles on a side of a 1 km 200 m long straight road such that there is a pole at the starting and end points of the road. If the poles are equally spaced, then what is the distance between each consecutive pole?
Answer:
Distance is 200m between each pole
Step-by-step explanation:
First, convert the length of the road into meters
1km= 1000m
1000m +200m= 1200m
There are 6 poles on the side and they're equally spaced
Divide the length of the road by the number of poles to get the distance between the poles
Distance between poles= Length of road/ Number of poles
Distance between poles= 1200m/ 6 poles
Distance between poles= 200m
Statistics question; please help.
Scott has hired you to check his machine prior to starting an order. To check it, you set the machine to create 1.5 inch screws and manufacture a random sample of 200 screws. That sample of screws has an average length of 1.476 inches with a standard deviation of 0.203 inches.
Does this sample provide convincing evidence that the machine is working properly?
Thank you in advance!
Answer:
Does this sample provide convincing evidence that the machine is working properly?
Yes.
Step-by-step explanation:
Normal distribution test:
[tex]$z=\frac{x- \mu }{ \frac{\sigma}{\sqrt{n}} }=\frac{ (x-\mu)\sqrt{n}}{\sigma} $[/tex]
Where,
[tex]x: \text{ sample mean}[/tex]
[tex]\sigma: \text{ standard deviation}[/tex]
[tex]n: \text{ sample size determination}[/tex]
[tex]\mu: \text{ hypothesized size of the screw}[/tex]
[tex]$z=\frac{(1.476-1.5)\sqrt{200} }{0.203 } $[/tex]
[tex]$z=\frac{(-0.024)10\sqrt{2} }{0.203 } $[/tex]
[tex]z \approx -1.672[/tex]
Once the significance level was not given, It is usually taken an assumption of a 5% significance level.
Taking the significance level of 5%, which means a confidence level of 95%, we have a z-value of [tex]\pm 1.96[/tex]
Therefore, we fail to reject the null. It means that the hypothesis test is not statistically significant: the average length is not different from 1.5!
SOLVE THE QUADRATIC EQUATION TO 3 SIGNIFICANT FIGURES
Answer:
x= 1.09 and x= -0.461
Step-by-step explanation:
Hope it helps :) :)
Good luck!!
ASAP!! Please help me. I will not accept nonsense answers, but will mark as BRAINLIEST if you answer is correctly with solutions.
Answer:
see below
Step-by-step explanation:
The cube root is defined for all real numbers, but squaring it makes the first term of F(x) be non-negative. Hence the domain of F(x) is all real numbers, and its range is [-2, ∞).
Shifting the function 2 units left does not change the domain.
Shifting the function 4 units up moves the range to [2, ∞).
Select the correct product of the exponential expression.
6^4
Answer:
1,296
Step-by-step explanation:
Answer:
1,296
Step-by-step explanation:
Well 6 to the 4th power is also,
6*6*6*6 which is 1,296.
Kickboxing it's found the force needed to break a board varies inversely with the length of the board it takes 9 pounds of pressure to break a board that is 3 feet long how long is the board that requires 5 pounds of pressure to break
Answer:
If f=5 pounds of pressure, l=5.4 feet long
Step-by-step explanation:
Force needed to break a board varies inversely with the length of the board
Let
Force to break the board=f
Length of the board=l
f=k/l
Where k is a constant
If f=9 pounds of pressure and l=3 feet long
f=k/l
9=k/3
Cross product
9*3=k
27=k
If k=27, f=5 pounds of pressure. Find l?
f=k/l
5=27/l
Cross product
5l=27
l=27/5
=5.4
l=5.4 feet long
Using proportions, it is found that the board that requires 5 pounds of pressure to break is 1.67 inches long.
Proportions:This question is solved by proportions, using a rule of three.It takes 9 pounds to break a board that is 3 feet long, what is the length of a board that takes 5 pounds?The rule of three is:
9 pounds - 3 feet
5 pounds - x feet
Applying cross multiplication:
[tex]9x = 3(5)[/tex]
[tex]x = \frac{15}{9}[/tex]
[tex]x = 1.67[/tex]
The board that requires 5 pounds of pressure to break is 1.67 inches long.
To learn more about proportions, you can take a look at https://brainly.com/question/24372153
Given: AB ∥ DC , m CB =62°, m∠DAB=104° Find: m∠DEA, m∠ADB
Answer:
m∠DEA = 62° and m∠ADB = 318°
Step-by-step explanation:
[tex]AB\left | \right |DC[/tex], - (Given)
m∠CB = 62° (Given)
we have;
m∠CB ≅ m∠DA (parallel lines congruent arc theorem)
m∠DA = 62° = m∠DEA
m∠DAB = 104° Given
Therefore, m∠AB = 104° - 62° = 42° (sum of angle)
m∠DC = 360 - 62 - 62 - 42 = 194° (sum of angles around a circle)
m∠ADB = 360° - m∠AB (sum of angles around a circle)
Therefore, m∠ADB = 360° - 42° = 318°
The required angles are;
m∠DEA = 62° and m∠ADB = 318°
a chord of a circle of radius 12 CM subtends an angle of 120 degree at the centre find the area of the corresponding segment of the circle (use π= 3.14 and √3 is equal to 1.73 )
Answer:
A = 88.44cm²
I hope it helps :)
Explanation:
WILL GIVE BRAINLEST ANSWER IF ANSWERED IN 24 HOURS Determine whether a triangle can be formed with the given side lengths. If so, use Heron's formula to find the area of the triangle. a = 240 b = 132 c = 330
If f(x) = -8x + 8 and g(x) = (x–9,
what is (fºg)(18)?
Enter the correct answer.
DOHO
DONE
Clear all
OOO
o
HURRY !
Answer:
Step-by-step explanation:
(f ° g)(18) is another way of writing f(g(18)) which is telling you to evaluate function g at an x value of 18, then take that answer and plug it in for x in the function. Like this:
g(18) = 18 - 9 so
g(18) = 9. Now take that 9 and plug it into the f function in place of x:
f(9) = -8(9) + 8 and
f(9) = -72 + 8 so
f(9) = -64
Rewrite the function in y.
2x – 4y = 8
Answer:
-4y=8-2x
Step-by-step explanation:
a guess
Answer:
y = 1/2 x -2
Step-by-step explanation:
2x – 4y = 8
Solve for y
Subtract 2x from each side
2x – 4y -2x= -2x+8
-4y = -2x+8
Divide each side by -4
-4y/-4 = -2x/-4 + 8/-4
y = 1/2 x -2