Answer: 19 birds were at the shelter on Wednesday.
Step-by-step explanation:
Let x represent the number of birds that were at the shelter on Wednesday.
Let y represent the number of birds that were at the shelter on Wednesday.
Nicole found a record showing that there were a total of 40 birds and cats on Wednesday. This means that
x + y = 40
The animal shelter spends $5.50 per day to care for each bird and $8.50 per day to care for each cat. Nicole noticed that the shelter spent $283.00 caring for birds and cats on Wednesday. This means that
5.5x + 8.5y = 283 - - - - - - - - - - - - - -1
Substituting x = 40 - y into equation 1, it becomes
5.5(40 - y) + 8.5y = 283
220 - 5.5y + 8.5y = 283
- 5.5y + 8.5y = 283 - 220
3y = 63
y = 63/3 = 21
x = 40 - y = 40 - 21
x = 19
It is not because a right triangle needs one right angle, and a right angle is 90 degrees
Step-by-step explanation:
Answer:

Step-by-step explanation:
<u>Slope-intercept form</u> of a linear equation:

where:
- m is the slope
- b is the y-intercept
<u>Given equation</u>:

Therefore, comparing the given equation with the slope-intercept form:
- slope (m) = -2
- y-intercept (b) = -2
The slopes of <u>parallel lines</u> are equal.
Therefore, the slope of the new line is -2.
Substitute the given point (4, 5) and the slope m = -2 into the slope-intercept formula and solve for b:




Finally, substitute the found values of m and b into the formula to create the equation of the line that passes through the given point and is parallel to the given line:

Learn more about the slope-intercept form here:
brainly.com/question/27317293
brainly.com/question/28185014
Answer:
$135
Step-by-step explanation:
6.75 x 5 = 33.75 (to find the amount of money he earned each night)
33.75 x 4 = 135 (amount earned per night by the number of nights worked)
$135 (final answer)
Answer:
Transformation is the altering of shapes using different operations.
Step-by-step explanation:
The different operations of transformation are translation, reflection, and rotation.