Meredith was paid $18 for recycling 30 pounds glass. What is this rate payment

Choose the correct answers for (a) the total installment price, (b) the carrying charges, and (c) the number of months needed to

Sliva [168]

50+(20×24)=530
530−400=130
400÷20=20

5 0

3 years ago

Read 2 more answers

The point A(4, 1) is reflected over the point (0, -3) and its image is point B. What are the coordinates of point B?

omeli [17]

A reflection over the point (0,0) is given by:

$(x,y)\rightarrow(-x,-y)$

Nevertheless, the reflection is being made over the point (0,-3). We can first make a traslation of the point (0,-3) to the origin. Then, reflect the new coordinates of the point A through the origin and then bring back the new origin to (0,-3).

First, make a traslation such that the new coordinates of (0,-3) are (0,0):

$(x,y)\rightarrow(x,y+3)$

Then, apply a reflection through the origin:

$(x,y+3)\rightarrow(-x,-y-3)$

Finally, make a traslation reciprocal to the first one:

$(-x,-y-3)\rightarrow(-x,-y-3-3)=(-x,-y-6)$

Therefore, the reflection over the point (0,-3) can be written as:

$(x,y)\rightarrow(-x,-y-6)$

Substitute (x,y)=(4,1) to find out the new coordinates of A after the reflection:

$\begin{gathered} A\rightarrow B \\ \Rightarrow(4,1)\rightarrow(-4,-1-6)=(-4,-7) \end{gathered}$

Therefore, the coordinates of the point B are (-4,-7).

4 0

1 year ago

Does anyone know how to simplify 5y (2y-3)+(2y-3) to get (5y+1)(2y-3) as a answer

Monica [59]

      5y(2y - 3) + (2y - 3) = (5y + 1)(2y - 3)
5y(2y) - 5y(3) + (2y - 3) = 5y(2y - 3) + 1(2y - 3)
    10y² - 15y + (2y - 3) = 5y(2y) - 5y(3) + 1(2y) - 1(3)
      10y² - 15y + 2y - 3 = 10y² - 15y + 2y - 3
      10y² - 13y - 3 = 10y² - 13y - 3

6 0

3 years ago

A consumer group is investigating two brands of popcorn, R and S. The percent of kernels that will pop for the population of ker

Degger [83]

The consumer group's claim that the difference in proportions has a mean of 0.03 is incorrect

<h3>How to calculate the difference in proportion</h3>

The table entries are given as:

Kernels Proportion that Popped

Brand R 100 0.92

Brand S 200 0.89

The proportions of the samples that will pop for both brands are given as:

$P_k = 0.90$