Answer:
Step-by-step explanation:
To solve this problem, we want to make sure the denominators are the same on both fractions. Once they are equal, we can dd them together.
[multiply first fraction by y+4 and second by y-8]
[distribute by FOIL]
[add numerator]
[combine like terms]
[factor out 2 from numerator]
Now we know that is the factored form after adding.
Answer:
1st page: Less than (<)
2nd option: 1st and 2nd option
Step-by-step explanation:
1st page: Not up to 12 visitors
n < 12
2nd page:
-2 > -10
-8 > -10
3rd page:
b < 11 (The board is shorter than 11 centimeters)
b > 11 (The box contains more than 11 books)
b < 12 (There are fewer than 12 beetles in a jar)
b > 12 (The building is taller than 12 feet)
4th page
Choose the arrow pointing left and no shaded dot and place it on 20.2
Answer:
See work below
Step-by-step explanation:
And this is where I'm stuck, can someone help me finish?
Answer:
This is the graph I inputted into desmos.
Step-by-step explanation:
Next time, using a graphing calculator will work! However, making a table for the x and y outputs will also make it easier to graph points.
For example: see attached image of table.
Answer
The scale factor is
Explanation
We have to ways to find the scale factor here:
1. Find the unit fraction from inches to miles; in other words, we need to divide the distance between the cities on the map (in inches) by the actual distance between the cities.
We can conclude that the scale factor is
2. Let be the scale factor.
We know form our problem that 24 miles times the scale factor is equal 4 1/2 inches, so we can set up an equation an solve for :
Just like before, we can conclude that the scale factor is
B.
Answer
6 inches separate the cities on the map
Explanation
We know that our scale factor is 1/4 inch = 1 mile, so we can create a conversion factor to convert 24 miles to inches. Since we need to convert from miles to inches, the denominator of our conversion factor must be 1 mile so we can cancel miles out. Notice that we can also express 1/4 inch as 0.25 inch to simplify our calculations:
We can conclude that if the conversion factor is 1/4 inch = 1 mile, 6 inches separate the cities on the map.
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