A chicken farm orders bags of feed from two farmers. Store X charges $20 per bag, and store Y charges $15 per bag. The farm must obtain at least 60 bags per week to care for the chickens properly. Store Y can provide a maximum of 40 bags per week, and the farm has committed to buy at least as many bags from store X as from store Y. The chicken farm wants to minimize the cost of ordering feed. Let x represent the number of bags of feed from store X and y represent the number of bags of feed from store Y.
The system of linear inequality equations are given where x is the number of bags from store X and y is the number of bags of feed from store Y
x + y ≥ 60
y ≤ 40
x ≥ y
x , y ≥ 0
What is an Inequality Equation?Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.
In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.
Given data ,
Let the inequality equation be represented as A
Now , the value of A is
Substituting the values in the equation , we get
Let the number of bags from store X be x
Let the number of bags from store Y be y
And , the cost of one bag from store X = $ 20
The cost of one bag from store Y is = $ 15
The total number of bags required is minimum 60 bags
So , the inequality is
x + y ≥ 60 be equation (1)
Now , Store Y can provide a maximum of 40 bags per week
So , the inequality is
y ≤ 40 be equation (2)
And , the farm has agreed to purchase from store X as least as many bags as from store Y. This implies that the quantity of feed bags purchased from store X must be larger than or equal to the quantity of feed bags purchased from store Y
So , the inequality is
x ≥ y be equation (3)
Hence , the inequality equations are solved
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How would 6,000,000,000 + 70,000,000 + 40,000 + 700 + 8 be written in standard form?
A. 67,478
B. 670,478
C. 677,040,708
D. 6,070,040,708
Liv and Ira are throwing balls in the air and catching them. Liv has caught 41 balls. Ira has caught 12 more balls than Liv.
How many balls has Ira caught?
Final answer:
Ira has caught 53 balls, which is found by adding 12 to Liv's total of 41 balls.
Explanation:
The question asks to find out how many balls Ira has caught if Liv has caught 41 balls and Ira has caught 12 more balls than Liv. To solve this, we start with the number of balls Liv has caught, which is 41. Since Ira has caught 12 more balls than Liv, we add 12 to Liv's total. Therefore, the number of balls caught by Ira is calculated as follows:
Liv's total = 41 balls
Ira's total = Liv's total + 12
Ira's total = 41 + 12 = 53 balls
Thus, Ira has caught 53 balls.
Which of the following represents the number of subsets of five elements can be formed from a set of six elements?
5!
C(6, 5)
P(6, 5)
What is the greatest common factor of 20y^9 + 5y^6 ?
A. 5y^9
B. 20y^3
C. 5y^6
D. 10y^9
The greatest common factor of 20y^9 + 5y^6 is 5y^6.
Explanation:To find the greatest common factor (GCF) of 20y^9 + 5y^6, we need to determine the highest power of each variable that divides each term evenly. In this case, the highest power of y that can be divided evenly is y^6. The GCF of the two terms is therefore 5y^6.
What is mass measured in?
A rectangular prism has a length of 212 meters, a width of 4 meters, and a height of 214 meters. What is the volume of the prism? Enter your answer in the box as a simplified mixed number or a decimal.
Answer:
22 1/2
I got that answer when I reviewed the test
The figure shown at the right is known as pascal triangle
Recipes are written using mixed numbers. Would it matter if they were written by using improper fraction? Explain.
Darrel just bought his very first mountain bike, an aluminum-framed front-and-rear suspension beauty that he's been saving for many months. For Darrel, the mountain bike is most likely what type of purchase?
A) minor repurchase
B) major new purchase
C) minor new purchase
D) major repurchase
Answer:
Major new purchase
Step-by-step explanation:
Apex
Rewrite the following equation in slope-intercept form. 14x + 15y = 11 Write your answer using integers, proper fractions, and improper fractions in simplest form.
The given equation is transformed into slope-intercept form as y = -14/15 * x + 11/15, where the slope is -14/15, and the y-intercept is 11/15.
To rewrite the equation 14x + 15y = 11 in slope-intercept form (y = mx + b), where m is the slope and b is the y-intercept, we need to isolate y.
Starting with the given equation:
14x + 15y = 11.
Subtract 14x from both sides:
15y = -14x + 11.
Divide both sides by 15 to solve for y:
y = -14/15 * x + 11/15.
Now, the equation is in slope-intercept form. The slope (m) is -14/15, and the y-intercept (b) is 11/15.
In summary, the equation 14x + 15y = 11 is rewritten in slope-intercept form as y = -14/15 * x + 11/15.
what value of c makes x^2 + 6x + c a perfect square trinomial ?
Enter the missing numbers in the box to complete the table of equivalent ratios of length to widths. PLEASE HELP
HELP ME PLZZZZ WILL GIVE BRAINLIEST
The freshman class is selling T-shirts to raise money for a field trip cost of each costume design T-shirt is eight dollars there is a $45 fee to create the design the class plans to sell the search for $12 what is the cost and revenue function
Abby filled her goodie bags with 4 cookies and 3 candy bars and spent a total of $10.25 per bag. Marissa filled her goodie bags wih 2 cookies and 7 candy bars and spent a total $14.75 per bag. Each cookie costs the same amount. Each candy bar costs the same amount. Write a system of linear equation that can be used to find the cost of one cookie (x) and one candy bar (y). What was the total cost, in dollars, of each candy bar?
Final answer:
To find the cost of one cookie and one candy bar, we can write a system of linear equations and solve them using the method of elimination or substitution. The total cost of each candy bar can be found by multiplying its cost by the number of candy bars in the goodie bag.
Explanation:
We can write a system of linear equations to find the cost of one cookie (x) and one candy bar (y) based on the information given:
Equation 1: 4x + 3y = 10.25
Equation 2: 2x + 7y = 14.75
To solve this system of equations, we can use the method of substitution or elimination.
First, let's solve the system using the method of elimination:
Multiply Equation 1 by 2 and Equation 2 by 4 to eliminate x.Subtract Equation 2 from Equation 1 to eliminate y.Solve the resulting equation to find the value of y.Substitute the value of y into Equation 1 or Equation 2 to find the value of x.By following these steps, we can find the cost of one candy bar (y) and the cost of one cookie (x).
The total cost of each candy bar can be found by multiplying its cost (y) by the number of candy bars in the goodie bag.
which property does the equation below represent 17•44+17•56=17•100
The equation represents the distributive property, a fundamental concept in algebra where a number is distributed across an addition inside a parenthesis, and then the individual products are summed.
Explanation:The equation 17⋅44+17⋅56=17⋅100 showcases the distributive property of multiplication over addition. The distributive property allows one to multiply a number by a group of numbers added together by doing each multiplication separately and then adding the results. This property is very useful in algebra and simplifying mathematical expressions. In this case, 17 is multiplied by 44 and 56 individually, and then the products are added to get the same result as multiplying 17 by the sum of 44 and 56, which is 100.
The figure shows the letter M and four of its transformed images—A, B, C, and D:
Which of the four images was formed by a reflection of the letter M?
Answer:
Figure D is the answer.
Step-by-step explanation:
The reflection transformation is a type of transformation, where the new image is the mirror image of the original image. Here, the x-coordinate and y-coordinate change places.
So, out of all the new figure, figure D is the answer.
Rest figures B and C are translations (simply moving aside) and A is rotation and translation both.
The Ferris wheel at the Comal County Fair is a three minute ride that takes its riders on a thrilling ride up to a maximum height of 105 feet and a low point of 5 feet. Assuming that the Ferris wheel rotates at 6 revolutions per minute and a rider starts his stopwatch immediately as his ride starts at its low point,
Final answer:
In a Ferris wheel, gravity and normal forces act on riders, affecting circular motion and contributing to centripetal force. Redistribution of mass affects the moment of inertia and could change angular velocity, assuming conservation of angular momentum without external torques.
Explanation:
Understanding the forces acting on people in a Ferris wheel and the effects on angular velocity and angular momentum involves comprehending basic physics concepts of circular motion and rotational dynamics.
Angular velocity is affected by how fast the Ferris wheel rotates. If the wheel accelerates, angular velocity increases. The total angular momentum of the system, a product of moment of inertia and angular velocity, can change due to external torques, like the motor driving the Ferris wheel or resistance due to air. However, in the absence of external torques, the system's angular momentum remains constant.
Considering the positions of people on the Ferris wheel (4 o'clock, 1 o'clock, 9 o'clock, and 6 o'clock), gravity acts downwards on each person, and the normal force acts perpendicular to the wheel's surface. These forces contribute to the centripetal force that keeps the people in circular motion. The redistribution of mass as people move or as the wheel turns can change the wheel's moment of inertia, potentially altering its angular velocity assuming angular momentum is conserved in the absence of external torques.
A rectangular prism has a length of 312 inches, a width of 312 inches, and a height of 7 inches. Danny has a storage container for the prism that has a volume of 90 cubic inches. What is the difference in volume between the prism and the storage container? Enter your answer in the box as a simplified mixed number or a decimal
Answer:
4.25
Step-by-step explanation:
if you multiply 3 1/2 x 3 1/2 x 7, you get 85.75 so you subtract 85.75-90 which equals 4.25. and that is you answer hope this helps!!!
Answer:
4.25 I took the test
Step-by-step explanation:
Parker is single and paying off his graduate student loan. The monthly payment is $679.34. He is hoping to receive an income tax refund that is large enough to make at least one monthly payment. His taxable income is $77,911 and his employer withheld $19,458 in federal taxes. a. How much of a refund will Tony receive? b. How many loan payments will Parker be able to make with this refund?
Parker will receive a tax refund of $2,318. With this refund, he can make approximately 3 loan payments.
Explanation:To determine Parker's tax refund and the number of loan payments he can make with this refund, we should consider his income and his withholdings. Since his taxable income is $77,911 and he has had $19,458 in federal taxes withheld, we can calculate his tax liability using the federal tax rates. In the U.S, the marginal tax rates for a single taxpayer range from 10% to 35%, depending on income.
For someone earning $77,911, they would be in the 22% tax bracket according to the 2020 tax tables from the Internal Revenue Service. The tax on income from $80,251 to $171,050 is 22%. Therefore, Parker's expected tax liability is $77,911 * 22% = $17,140.
However, the amount his employer withheld was $19,458. This means Parker has overpaid and is eligible for a refund of $19,458 - $17,140 = $2,318.
In terms of how many loan payments Parker can make with this refund, since his monthly loan payment is $679.34, he can make approximately $2,318/$679.34 = 3.41 payments.
Therefore, Parker will receive a tax refund of $2,318 and will be able to make approximately 3 loan payments with this refund.
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A ring cost $27 more than a pair of earrings the ring cost $90 write an equation that can be used to find the cost C in dollars of the earrings
Números que multiplicados den 40
(x,y)➡(x-8,y+4)
what is the image of
A(2,6)
B(-1,5)
(x,y) (x+3,y+4) A(-3,-1),B(1,1),c(2,-3)
find volume of 9 pls- the number u cant see is 9
Big points+ brainliest
Consider a single spin of the spinner.
grey 1 white 2 grey 3 white 4
Which events are mutually exclusive? Check all that apply.
landing on a shaded portion and landing on an even number
landing on a shaded portion and landing on a number greater than 3
landing on a shaded portion and landing on a 3
landing on an unshaded portion and landing on an odd number
landing on an unshaded portion and landing on a number less than 2
Answer:
landing on a shaded portion and landing on an even number ; landing on a shaded portion and landing on a number greater than 3 ; landing on an unshaded portion and landing on an odd number ; and landing on an unshaded portion and landing on a number less than 2.
Explanation:
Mutually exclusive events are events that cannot occur at the same time. Our spinner has two grey sections, on 1 and 3; and two white sections, on 2 and 4.
This means that the spinner cannot land on a shaded (grey) portion and land on an even number at the same time, since the grey sections are numbered 2 and 4, both of which are even numbers.
The spinner also cannot land on a shaded (grey) portion and land on a number greater than 3 at the same time; this is because the only number greater than 3 on the spinner is 4, which is a white portion.
The spinner cannot land on an unshaded (white) portion and land on an odd number, since the white sections are labeled 2 and 4, which are both even.
The only number on the spinner less than 2 is 1, which is grey; this means the spinner cannot land on a number less than 2 and an unshaded (white) portion at the same time.
Answer:
Option 3 and 5 on edg 2020
Step-by-step explanation:
Jordan bought a notebook for $5, 6 pencils for $1 each, and a binder for $9. The sales tax for the whole purchase was $2. What percent was the sales tax?
A glass triangular prism for a telescope is 5.5 inches long. each side of the prism´s triangular bases is 4 inches long and about 3 inches high. About how much glass covers the surface of the prism?
The surface area of the glass triangular prism is 78 square inches.
Explanation:To find the surface area of the glass triangular prism, we need to find the area of each face and then sum them up. The prism has two triangular bases and three rectangular faces. The area of each triangular base is given by the formula A = (1/2) * base * height, where the base is 4 inches and the height is 3 inches. Therefore, the area of each base is (1/2) * 4 * 3 = 6 square inches. The total area of both bases is 2 * 6 = 12 square inches.
The area of each rectangular face can be found using the formula A = length * height, where the length is 4 inches and the height is 5.5 inches. Therefore, the area of each rectangular face is 4 * 5.5 = 22 square inches. The total area of all three rectangular faces is 3 * 22 = 66 square inches.
Finally, we can find the total surface area by adding the area of the bases and the area of the faces: 12 + 66 = 78 square inches.