Call the number of hours babysitting
and the number of hours walking dogs
.
We know that she earns $6/hr for babysitting or
, and $5/hr walking dogs or
. We also know the total money is $43 and the total time is 8hours. Therefore:
To solve: First rearrange equation 1 to solve for either
or
(doesn't matter which, I'll use
):
Now substitute into equation 2:
and solve for
Now backsubstitute to solve for
:
She babysat for 3 hours and walked dogs for 5.
To check our work:
CHECKS
Answer:
41.04
Step-by-step explanation:
Given
= 456, then
= = = 45.6
= = = 4.56
Thus
- = 45.6 - 4.56 = 41.04
Answer:
See below
Step-by-step explanation:
The independent variable should be the size and the dependent variable the price.
This is the most logical approach if the manager wants to have an idea about what price could be adequate for future models with different sizes.
The first thing to do if we want to determine if there appears to be a relationship between the variables is to draw the scatter plot
<h3>(See picture attached)
</h3>
From the scatter plot we can tell that there is an apparent directly proportional relationship between size and price (the larger the size, the larger the price).
We could now try and compute the Pearson correlation coefficient r given by
where
are the sizes
are the prices
n = number of observations (7)
If we did so, we would find that<em> r = 0.9</em>, which tells us that there is a good linear correlation between size and price.
Answer:
(-2,5)
Step-by-step explanation:
When a point is rotated counterclockwise 90 degrees about the origin then the coordinates of the image will be (x,y) → (-y,x).
Here, (5,2)→(-2,5)
Therefore , if (5,2) is rotated counterclockwise 90 degrees about the origin its image will be point (-2,5).
Hence, if (5,2) is rotated counterclockwise 90 degrees about the origin its image will be point (-2,5).
if this helped you can you slide a Brainliest :)