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.
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.
There is a line whose y-intercept is 7 and whose slope is 8. What is its equation in slope-intercept form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.
y = x +
What is the correct answer for number 6
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.
what value of c makes x^2 + 6x + c a perfect square trinomial ?
A sign in front of a roller coaster says ''you must be 40 inches tall to ride" what percentage of this height is A 34 inches and B 54 inches please answer both if you can thank you.
The percentage of height of A is 85% and the percentage of height of B is 135% and it can be evaluated by using unitary method.
Given :
To ride on roller coaster you must be 40 inches tall.
Unitary method is used to find the percentage of height of A and percentage of height of B. Single unit is determined first in the unitary method and than multiply the single unit to find the necessary value.
Applying unitary method to determined the percentage of height of A.
Divide 34 by 40.[tex]=\dfrac{34}{40}[/tex]
Multiply the above value by 100.[tex]=\dfrac{34}{40}\times 100[/tex]
= 85%
Again applying unitary method to determined the percentage of height of B.
Divide 54 by 40.[tex]=\dfrac{54}{40}[/tex]
Multiply the above value by 100.[tex]=\dfrac{54}{40}\times 100[/tex]
= 135%
The percentage of height of A is 85% and the percentage of height of B is 135% and it can be evaluated by using unitary method.
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Recipes are written using mixed numbers. Would it matter if they were written by using improper fraction? Explain.
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.
Big points+ brainliest
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
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
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
farid takes 7/8 teaspoon of allergy medicine everyday how much medicine will he take in one week
Find the area of a circle with a radius of 1.
100 POINTSS!!!!!
Which expression is equivalent to 1/3(4−5x−1) ?
−5x+3
−5/3x−1
−5/3x+1
−5x+1/3
Three brothers, Justin, Jared, and Jonathan decided to buy a present for their mom's birthday. Justin gave decided to spend 1/4 of his savings on the present, Jared said he will contribute 1/3 of his money, and Jonathan was willing to put in 2/5 of all he had. Each brother invested exactly the same amount of money and they bought a vase that costed $33.00. How much money did each boy have before the purchase?
Final answer:
Each brother spent $11 on the gift. To find their original savings, we calculate 4 * $11 for Justin, which is $44, 3 * $11 for Jared, which is $33, and 5/2 * $11 for Jonathan, which is $27.50.
Explanation:
The question is asking us to find out how much money each of the three brothers, Justin, Jared, and Jonathan, had before they each spent an equal amount on a present for their mom's birthday. They bought a vase for $33, and Justin spent 1/4 of his savings, Jared contributed 1/3 of his, and Jonathan gave 2/5 of his. We can set up an equation for each brother using the fact that they all spent the same amount, which we'll call 'x'. So for Justin, (1/4) * Justin's savings = x, for Jared, (1/3) * Jared's savings = x, and for Jonathan, (2/5) * Jonathan's savings = x. Since the total cost of the vase is $33, we know that 3x = $33 or x = $11. This means each brother spent $11.
Now, we can find out how much each had originally:
Justin's original savings: (1/4) of his savings is $11, so Justin had 4 * $11 = $44 before the purchase.Jared's original savings: (1/3) of his savings is $11, so Jared had 3 * $11 = $33 before the purchase.Jonathan's original savings: (2/5) of his savings is $11, so Jonathan had 5/2 * $11 = $27.50 before the purchase.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
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 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.
(x,y) (x+3,y+4) A(-3,-1),B(1,1),c(2,-3)
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)
A deli makes potato, macaroni, three bean, Caesar, 7-layer, and Greek Salads. The deli randomly makes only four salads each day. What is the probability that the four salads made in one day are 7-layer, macaroni, Greek, and potato?
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.
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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What is mass measured in?
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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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.