Answer:
Fertilizer A = 20, Fertilizer B = 56
Step-by-step explanation:
Step 1: Set up the equations
Nitrogen: 8x + 5y ≥ 440
Phosphorous: 2x + 5y ≥ 260
Potassium: 4x + 5y ≥ 360
Step 2: Find the vertices
It is easiest to graph the equations to find the vertices. (see attachment). You can also solve each system of equations to find the intersected points.
The following satisfy the "greater than or equal to" requirement:
(0, 88) → y-intercept of Nitrogen equation
(20, 56) → intersection of Nitrogen and Potassium equations
(50, 32) → intersection of Phosphorous and Potassium
(130, 0) → x-intercept of Potassium
Step 3: Use vertices in cost function C(x) to find the minimum
C(x) = $30x + $20y
(0, 88): $30(0) + $20(88) = $1760
(20, 56): $30(20) + $20(56) = $1720 ← This is the minimum!
(50, 32): $30(50) + $20(32) = $2140
(130, 0): $30(130) + $20(0) = $3900
The minimum cost occurs when 20 bags of Fertilizer A and 56 bags of Fertilizer B are purchased.
Natalie and her sister opened a savings account at the same time. Natalie deposited $100 and will deposit $10 each month. Her sister deposited $25 and will deposit $25 each month. When will Natalie have less money in her account that her sister?
Answer:
6 months
Step-by-step explanation:
We can think of Natalie as 100 + 10x and her sister as 25 + 25x. If we put them together, we will get 100 + 10x < 25 + 25x, We can simplify it by moving the 25 to the left side and 10x to the right side. Then we will get 75 < 15x, and the smallest solution is 6 because 5 * 15 is equal to 75
Assume the average amount of caffeine consumed daily by adults is normally distributed with a mean of 240 mg and a standard deviation of 47 mg. In a random sample of 600 adults, how many consume at least 320mg of caffeine daily?
The confidence interval is between (48.2%, 57.7%)
Using the proportion formula expressed as:
[tex]CI=p\pm z\cdot \sqrt{\frac{p(1-p)}{n} }[/tex]
Get the proportion:
p = 320/600 = 0.53
[tex]z=\frac{x- \mu}{\sigma}[/tex]
[tex]z = \frac{320-240}{47}\\z=\frac{80}{47}\\z= 1.70[/tex]
Substitute into the formula to get the confidence interval to have:
[tex]CI=0.53\pm 1.7\cdot \sqrt{\frac{0.47}{600}}\\CI = 0.53\pm 0.04757\\CI = (0.53-0.04757, 0.53+0.04757)\\CI = (0.482, 0.577)[/tex]
Hence the confidence interval is between (48.2%, 57.7%)
Learn more on confidence interval here: https://brainly.com/question/20066592
the area of a square is 36 centimeters. how long is each side of the square?
Answer:
6cm
Step-by-step explanation:
square root of 36 because the area of a square is base x height and a square has equal sides
Fill in the blank to make each equality true. _ divided by (1/2x^3)=16x^6y^4.
PLS HELP!
Answer:
(8x^9 x y^4) : (1/2x^3)=16x^6y^4
Step-by-step explanation:
8 : 1/2 = 16
x^9 : x^3 = x^6
Equation - [tex]8x^3y^4[/tex] divided by (1/2x^3)=16x^6y^4.
What is equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign. A mathematical equation is a formula that uses the equals sign to express the equality of two expressions. The meanings of the word equation as well as its cognates in other languages can vary slightly. For instance, in French, an equation is defined as having one or more variables, whereas in English, an equation is any well-formed formula that consists of two expressions linked by the equals sign.
Finding the values of the variables that result in the equality is the first step in solving an equation with variables. The unknown variables are also known as the variables for which the equation must be solved, and the unknown variable values that satisfy the equality are known as the equation's solutions.
Let the required term be z.
[tex]z/ (1/2x^3)=16x^6y^4[/tex]
[tex]z=(16x^6y^4) }{(1/2x^3)}[/tex]
[tex]z = 8x^3y^4[/tex]
Hence, [tex]8x^3y^4[/tex]
Learn more about equation from the link
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Dr. Brennen donated 49 duffle bags of First-aid kits to the Bahamas Red Cross. Each bag
contained 604 First-aid kits. How many First-aid kits did the Red Cross receive in all?
Answer:
29,596 first aid kits
Step-by-step explanation:
This is a multiplication problem. There are 604 kits in each duffle bag, and there are 49 duffle bags, so the equation is 604 x 49.
In the first step, we multiply 604 by 9 to get 5,436. In the second, we multiply 604 by 40 to get 25,160. Then we add the two numbers together to get 29,596.
Hope this helped :)
Square the binomial (2x-4)^2
Answer:
4x^2 - 8x +16
Step-by-step explanation:
(2x - 4)^2 can be looked at like this (2x - 4)(2x - 4) which can then be foiled
4x^2 -8x + 16, I presume that there is no equals zero so I don't think I can use the quadratic formula.
Thus it is 4x^2 - 8x + 16.
What is the prime factorization of 270?
270 = 2 x 3 x 3 x 3 x 5 = 2 x 3^3 x 5
ok done. Thank to me :>
Answer:
2x3x3x3x5
Step-by-step explanation:
if your doing this on time4learning lesson type 5x2x3x3x3 to get it right it worked for me but it didnt work in any other order
Help pls ASAP plssss
Answer:
y=2x-1
Step-by-step explanation:
The y-intercept is -1
The slope is 2
Convert the decimal 0.92¯¯¯ to a fraction.
Answer:
23/25 when reduced to the simplest form.
Step-by-step explanation:
write down the number as a fraction of one
0.92 = 0.92/1
so we multiply both numerator and denominator by 100
Then 0.92/1 = ( 0.92x100) / ( 1x100)
= 92/100
Now reduce the numerator and denominator by GCD between in this case
GCD ( 92,100) = 4
so, 92/ 4
100/ 4
=23/25
Sara left a bin outside in her garden to collect rainwater. She notices that one over eight gallon of water fills two over three of the bin. Write and solve an equation to find the amount of water that will fill the entire bin. Show your work. Explain your answer in words.
Answer:
3/16
Step-by-step explanation:
In order to get the amount of water to fill a bin, we just divide the amount of water by the fraction of the bin it fills. This makes the unit of the resulting answer as gallons/bin or gallons per bin.
Last week the cost of a pair of socks was $3.25. This week they are on sale for $1.95. What is the percent change from last week to this week?
Tell whether this is an increase or a decrease then give the percent the value changed.
Answer:
The socks are 40% off, and it is decreased to 60%.
Step-by-step explanation:
:))
Camila is collecting button pins. Camila started her collection with 20 button pins and collects 5 button pins per month. Let y represent the total number of button pins Camila has collected and x represent the number of months Camila collects button pins.
Graph this linear relationship.
Select two points to graph the line.
Step-by-step explanation:
Camilla started her collection with 20 buttons, meaning that this number is a constant, and that it will not change: (+20)
She then collects 5 buttons per month. Month is represented by the variable, x (given by the question), and there are 5 per month (so you multiply).
Set the equation:
Total pins = Amount of pins per month x amount of months + Amount of pins started.
y = 5x + 20
In this case, plug in the amount of months (x) to obtain your total (y):
When x = 0, y = 20
y = 5(0) + 20
y = 0 + 20
y = 20
When x = 1 , y = 25
y = 5(1) + 20
y = 5 + 20
y = 25
When x = 2, y = 30
y = 5(2) + 20
y = 10 + 20
y = 30
When x = 3, y = 35
y = 5(3) + 20
y = 15 + 20
y = 35
When x = 4, y = 40
y = 5(4) + 20
y = 20 + 20
y = 40
~
Note: This is a linear graph, so you can choose any of these given points (and more if you want to plot more). I would choose two that aren't too close to each other, unless you want a really small graph size.
reposting this again because the first time didn’t work (please help!)
Answer:
I still can't open the file or I can't see it
Step-by-step explanation:
(3,1);m=4
(Write an equation in point slope form of the line that passes through the given point and has the given slope)
Select the geometric figure that correctly matches with the following formula:
A=[tex]\pi r^{2}[/tex]
Answer:
Circle
Step-by-step explanation:
The area of a circle is
[tex]\pi r^{2}[/tex]
A. circle
The area of a circle is 2[tex]\pi[/tex]r²
What is the formula for the circle?The Circle Formulas are expressed as,
the Diameter of a Circle. D = 2 × r. Circumference of a Circle. C = 2 × [tex]\pi[/tex] × r.Area of a Circle A = 2[tex]\pi[/tex]r²The collection of all points equidistant from a fixed point in a plane is called a circle.
the circle is a closed 2-dimensional figure in which the set of all the points in the plane is equidistant from a given point called the “center”. Every line that passes through the circle forms the line of reflection symmetry.
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One integer is 8 less than another integer. The sum of the two integers is 72. Find the two integers. Step 2 of 2: What are the two integers? Separate values with a comma.
Answer:
40 and 32
Step-by-step explanation:
This is a linear systems equation problem.
a + b = 72
a = b - 8
Use substitution. Substitute b-8 for a in a+b=72
b-8+b=72
2b-8=72
add 8 to both sides
2b=80 (divide both sides by 2)
b = 40
Plug the value of b into the a=b-8
a=40-8
a=32
Check: 40 + 32 = 72 So the two integers are 40 and 32
1. Suppose that in the population of American college students the average number of alcoholic drinks consumed per week is 22. What is the probability of randomly selecting a sample (n = 30) with a mean of 24 and a standard deviation of 5? (Hint: Tell me the two probabilities it will be between using a 2-tailed value)
im not sure on the full awnser.
If 2 sides of a triangle is 12 cm and perimeter is it 28cm prove it is a isosceles triangle
If 2 sides of a triangle is 12 cm and perimeter is it 28cm prove it is a isosceles triangle
Answer:
if it has two equal sides the triangle is isosceles by definition
Definition of
Isosceles Triangle
A triangle with two equal sides.
The angles opposite the equal sides are also equal.
What is the next number in the series shown?
132, 123, 115, 108, 102
A bike race takes place over a 3 mile course. How many feet is it?
a
15280 ft
b
3000 ft
c
15,840 ft
d
15000 ft
Answer:
A
Step-by-step explanation:
Here is ur answer
- BRAINLIEST answerer
A researcher claims that 89% of people sleep with a pillow. In a random sample of 1000 people, 825 say that they sleep with a pillow
To mail a letter to Vienna, Austria the post office charges a flat rate of $8.00 and an additional $0.50 for every ounce the letter weighs. The cost of mailing a letter is determined by the equation y=0.50x+8.00, where y is the cost of the postage and x is the weight of the letter in ounces.
Step 2 of 2 : Use the graph to estimate to the nearest quarter of a dollar ($0.25) the cost to send a letter that weighs 3 ounces.
Answer:
It will cost 38 quarters
Step-by-step explanation:
y = 0.50x + 8.00
y = 0.5(3) + 8.00
y = 1.5 + 8.00
y = $9.50
$9.50/.25
38 quarters
Hope this is the answer you are looking for.
Tom is reviewing his cell phone bill. When he gets to the text message part he notices that he send 1 text message in October,7 text messages in November, 49 messages in December,and 343 text messages in January. what kind of sequence is this?
a. arithmetic b. geometric c. both d. neither
Answer:
it is c. both i guess anyways thanks
i hope you passed and sorry for taking your points
Step-by-step explanation:
kyle took at total of 8 quizzes in the first 4 weeks of school. How many weeks of school will he have to attend before he will have taken a total of 12 quizzes?
Answer:
6 weeks
Step-by-step explanation:
8 quizzes = 4 weeks
So 2 quizzes/week
It will take her 12/2 weeks (6) to finish 12 quizzes
-Chetan K
There are 110 calories per 177.4 grams of Cereal X. Find how many calories are in 212.5 grams of this cereal.
Answer: 131.76 calories
Step-by-step explanation:
110 calories x
----------------- = ----------------
177.4 grams 212.5 grams
cross multiply and divide
(110x212.5)
23, 375 / 177.4 grams
x= 131.76
Please HELP ME!!!
[tex]x=1+i[/tex] is a solution to which of the following equations?
a: [tex]x^{2}+1=0[/tex]
b:[tex]x^{2} -2x+2=0[/tex]
c: [tex]x^{2} -2x+1=0[/tex]
d:[tex]x^{2} -1=0[/tex]
If you could please share you're thought process and work with me as well, so I can better understand how you found the answer. Thanks a bunch!
Answer:
b. x² - 2x + 2 = 0Step-by-step explanation:
Solve each to confirm answer
a.
x² + 1 = 0x² = - 1x = √ -1x = iFALSEb.
x² - 2x + 2 = 0(x - 1)² + 1 = 0(x - 1)² = - 1x - 1 = √-1x - 1 = ix = 1 + iTRUEc.
x² - 2x + 1 = 0(x - 1)² = 0x - 1 = 0x = 1FALSEd.
x² - 1 = 0x² = 1x = √1x = ± 1FALSEAnswer:
Option B
Step-by-step explanation:
[tex]\\ \sf\longmapsto x^2-2x+2=0[/tex]
[tex]\\ \sf\longmapsto x=\dfrac{-(-2)\pm\sqrt{(-2)^2-4(1)(2)}}{2(1)}[/tex]
[tex]\\ \sf\longmapsto x=\dfrac{2\pm\sqrt{4-8}}{2}[/tex]
[tex]\\ \sf\longmapsto x=\dfrac{2\pm\sqrt{-4}}{2}[/tex]
[tex]\\ \sf\longmapsto x=\dfrac{2\pm 2i}{2}[/tex]
[tex]\\ \sf\longmapsto x=1\pm i[/tex]
Verified
Help !!!!!!!!!!!!!!!!’
The image of the point (4, -9) under a translation is (9, -14). Find the coordinates
of the image of the point (-9, -8) under the same translation.
9514 1404 393
Answer:
(-4, -13)
Step-by-step explanation:
When the translation (T) is added, the image is formed.
(4, -9) +T = (9, -14)
T = (9, -14) -(4, -9) = (9-4, -14-(-9)) = (5, -5)
The same holds for the second point:
(-9, -8) +T = (-9, -8) +(5, -5) = (-9 +5, -8 -5) = (-4, -13)
The image of the second point under the same translation is (-4, -13).
Please Answer This, with A, B, C, or D. and explain why it is so i can try and understand it. :D
Answer:
b
Step-by-step explanation:
first u have to put the like terms together which are 7p and 19p when u move the 19p th 7p it turns to minus su have to minus 7p-19p which equals to -12 check if there is more like terms there arent so u have to keep the rest the sameAnswer:
B. (5q - 12) / 12
Step-by-step explanation:
7p + 5q = 19p + 12
So, we are looking for p, let's move all the p on the left, and the rest on the right
7p + 5q = 19p + 12
7p - 19p = 12 - 5q
-12p = 12 - 5q
Now to get single p we need to divide both sides by -12
-12p = 12 - 5q
p = [tex]\frac{12 - 5q}{-12}[/tex]
We don't have answer like this, so we have to get rid of the minus from this equation. To do so, we have to multiply the fraction's top and bottom by (-1)
[tex]\frac{12 - 5q}{-12} * \frac{-1}{-1} = \frac{- 12 + 5q}{12}[/tex]
all right, we almost got it, now let's change the order in top of the fraction:
p = [tex]\frac{- 12 + 5q}{12}[/tex]
p = [tex]\frac{5q - 12}{12}[/tex]
And it's done
Harold and his brother collected 2019 cans a 1-year period. Each boy collected the same number of cans. About how many cans did each boy collect? Explain how you found your answer.
Answer:
1008.5 cans
Step-by-step explanation:
2019/2=1008.5
if you wanted per day, 1008.5/365=2017/730