Answer:
The answer to your question is
a) Poster width = 3 in
lenght = 9 in
b) banner
width = 2 in
lenght = 10 in
Step-by-step explanation:
a) For the poster
width = x
lenght = 3x
Perimeter of a rectangle = 2base + 2 height
= 2(x) + 2(3x) = 24
2x + 6x = 24
8x = 24
x = 24/8
x = 3
width = 3 in
lenght = 3(3) = 9 in
b) For the banner
width = y
lenght = 5y
Perimeter of a banner = 2 base + 2 height
2 (y) + 2(5y) = 24
2y + 10y = 24
12y = 24
y = 24/12
y = 2
width = 2 in
lenght = 5(2) = 10 in
Answer:
If you solve a linear equation you have two different lines.
Now with that being said the solutions are as follows;
<u>One Solution</u>: The slopes are different
<u>No solution</u>: The slopes are the same and the y intercepts are different
<u>Infinite Solutions</u>: The slopes are the same and the y intercepts are different
Answer:
Yes.
Step-by-step explanation:
Yes because each value of x maps to a single value of y.
THere is a many-to-one relation with (1, 12) and (5, 12) but that is OK for a function. What would not be OK is if we had a one-to-many relation like (1, 12) and (1, 14) included in the ordered pairs - that is not a function.
Answer: 6
Step-by-step explanation:
There are 6 different combinations of choices for the date:
- Thai food, movie
- Thai food, ice skating
- Thai food, art museum
- Italian food, movie
- Italian food, ice skating
- Italian food, art museum
An easier way to solve for this is multiply by how many choices are in each category.
In food there is 2 choices, in activities there is 3 choices
Therefore: 2 x 3 = 6
