Line b passes through the orgin and through the point (4,-3/2), write a eqation of the line that is parallel to line b and passes through the point (0,7). show all work, and report the answer in slope intercept form

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.

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.

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.

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.

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:

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:

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.

The surface area of the glass triangular prism is 78 square inches.

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.

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.

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.

Answer:

Major new purchase

Step-by-step explanation:

Apex

Parker will receive a tax refund of $2,318. With this refund, he can make approximately 3 loan payments.

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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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

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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The greatest common factor of 20y^9 + 5y^6 is 5y^6.

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.

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: