Sonya buys a baseball jersey for her brother on sale for 20% off. If the price she paid was $6 lower than the regular price, what was the original price of the jersey?

Step-by-step explanation:

1 544.4

2. 3.025

3. 25.1

4. 52.076

5. 872.1

for your information

1 tenth is equal to 0.1

1 hundredth is equal to 0.01

1 thousandth is equal to 0.001

Answer:

0.06

Step-by-step explanation:

6% = 0.06

0.06  as a decimal Hope this helped!

Answer:

x ≤-9/4

Step-by-step explanation:

x/3-x-1/2≥1

Multiply each side by 6 to get rid of the fractions

6(x/3-x-1/2)≥1*6

2x -6x -3≥6

Combine like terms

-4x-3≥6

Add 3 to each side

-4x-3+3≥6+3

-4x ≥9

Divide each side by -4, remembering to flip the inequality

-4x/-4 ≤9/-4

x ≤-9/4

Answer:

0

Step-by-step explanation:

We want to compute the curve integral (or line integral)

where the force field F is defined by

F(x,y) = (y, -x)

and C is the path consisting of the line segment from (1, 5) to (0, 0) followed by the line segment from (0, 0) to (0, 9).

We can write  

C =

where  

=  line segment from (1, 5) to (0, 0)  

= line segment from (0, 0) to (0, 9)

so,

Given 2 points P, Q in the plane, we can parameterize the line segment joining P and Q with

r(t) = tQ + (1-t)P for 0 ≤ t ≤ 1

Hence can be parameterized as

for 0 ≤ t ≤ 1

and can be parameterized as

for 0 ≤ t ≤ 1

The derivatives are

and

In consequence,

Final answer:

The work done by the force field F = (y, -x) along the given path is -5 Joules. This was calculated by breaking the path into two segments and calculating the work done for each segment.

Explanation:

To calculate the work done by the force field F = (y, -x) when moving an object along a specific path, we utilize the concept of the line integral or the dot product of the force and the displacement vector. We can break down the given path into two line segments and solve each separately.

The first segment is from (1, 5) to (0, 0). Only the x component of the displacement is non-zero here, the force is F = (5, -1). Thus the work done on this segment is given by W = F.d = Fd cos θ = -(5 N)(1 m)(cos(180)) = -5 J, where J stands for Joules, the unit of work or energy.

The second segment is from (0, 0) to (0, 9). The force and displacement are perpendicular so the work done is 0.

By adding the work done on these two segments, we arrive at the total work done: W_total = -5 J + 0 J = -5 J

Learn more about Work done by a force field here:

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Answer:

The answer is A) 675 ÷ 1600.

Step-by-step explanation:

The answer is A) 675 ÷ 1600. 675 divided by 1600 means that the 675 will be split into 1600 parts. It's like you have 50 apples and you want to split it into two, can also be said or written as 50 DIVIDED BY 2.

In addition, If the statement says that 675 divides 1600 it means that the 1600 will be split into 675 part.