
×

First, convert

to an improper fraction. Use this rule:

=

/ Your problem should look like:

×
Second, simplify 4 × 6 to 24. / Your problem should look like:

×
Third, simplify 24 + 1 to 25. / Your problem should look like:

×
Fourth, apply this rule:

×

=

/ Your problem should look like:
Fifth, simplify 3 × 25 to 75. / Your problem should look like:
Sixth, simplify 5 × 6 to 30. / Your problem should look like:
Seventh, simplify. / Your problem should look like:
Eighth, convert to mixed fraction. / Your problem should look like:

Answer:
Answer:
The shelter can house 17 cats because
17 < 28.
Step-by-step explanation:
We cannot have fractions of cats, and we cannot have a negative number of cats. So the third statement is reasonable because c < 28.
Answer:
The third choice is the one you want
Step-by-step explanation:
If we are to write the equation of a line perpendicular to WX, we first must determine what the slope of the WX is, because the line perpendicular to WX has a slope that is the flip of the slope of WX with the opposite sign. Solving for y takes care of finding the slope of WX:
2x + y = -5 so
y = -2x - 5
The slope is -2. That means that the reciprocal slope is 1/2. Using that slope along with the coordinates x = -1 and y = -2, we first write the line using point-slope form and then solve it for y. Start by filling in the m, the x value and the y value:

Getting rid of the double negatives gives us:

Distributing then gives us:

And finally solving for y (I am going to express the 2 on the left as 4/2 when I move it by subtraction in order to add those fractions):

And the final equation in slope-intercept form is:

Answer:
A
Step-by-step explanation:
First, we need to find the unknown angle of the triangle.
40 + 20 = 60
180 - 60 = 120
So the unknown angle is 120.
Then, we can use the law of sines to create a proportion.
sin(120)/8 = sin(40)/a
Then, we can simplify this.
a is about 5.9, or answer choice A.
A) 1000/239 = 4.something
Ms. Ferguson could book the room for 4 nights
B) 6 x 239 = 1434
1450/1434 = 1.01
Ms Ferguson was off by 1%
C) 2075/1589 = 1.3058
The price increase was by 31%
D) 2075/1.3 = 1596.153
The price that was found was $1596.15