Answer: 8
Step-by-step explanation:
Given: Pedro cut a sheet of poster board into 10 equal parts.
let x be the total sheet.
then, one part of sheet= 
of the sheet
Now, His brother used some of the poster board and now 8/10 is left.
Therefore, if Pedro wants to make a sign from each remaining part of the poster board.
then, The number of signs he can make= 
Hence, Pedro can make 8 signs.
Answer:
The correct options are (2, 3 and 6).
Step-by-step explanation:
It is provided that Daniel has a rock collection of 18 rocks.
He wants to organize these 8 rocks into equal groups.
The factors of 18 are:
Factor (18): {1, 2, 3, 6, 9, 18}
A group is a selection of more than 1 items. So, there cannot be 18 groups.
And there cannot be 1 group, since then Daniel would not be organizing the rocks.
So, the possible ways Daniel line up his rock collection are {2, 3, 6 and 9}.
Thus, the correct options are (2, 3 and 6).
A
function 
from a
set A to a
set B is defined as a relation that assings to each element
in the set A exactly one element
in the set B. The set A is called the domain of the function while the set B is the range. So we have five statements and need to find some functions. Melissa decides to reserve a patch in her vegetable garden for growing
bell peppers. If each side of the
tomato patch is
feet, then we have a square patch as shown in the Figure below.
1.a) Write the function Wa(x) representing the width of the bell pepper patch.
We know that she wants its width to be half the width of the tomato patch. Let
be the width of the tomato patch, then the function that matches this statement is:
1.b) Write the function La(x) representing the length of the bell pepper patch.In this case Melissa wants <span>its length to exceed the length of the tomato patch by 2 feet. To do this we enlarge the length of the tomato patch 2 feet. Therefore the function is the following:
</span>
<span>
2. Ar</span>
ea of the bell pepper patch in terms of x.
Given that the bell pepper patch is a rectangle, then t<span>he area of a rectangle is the product of the length and width. So:
</span>
<span>
3. C</span><span>
ombined area of the tomato patch and the bell pepper patch.
This function is the sum of both the area of the tomato patch and the bell pepper patch. So:
</span>
<span>
4. W</span>
rite the function Aa(x) for the remaining planting area in the garden.
The remaining planting area in the garden are the rectangles in red. So we need to subtract
the width of the bell pepper patch from the width of the tomato patch
and multiply it by 2. In mathematical language this is
given by:<span>
</span>
5. Find the area of the remaining space in the garden after planting tomatoes and bell peppers.
Given that <span>Melissa wants the area of the bell pepper patch to be 31.5 square feet, then it is true that:
</span>
<span>
Therefore the area of the remaining space is:
</span>
Answer:
(b, a)
Step-by-step explanation:
Example if D was (3, 2) and reflects across y = x, D' will be (2, 3)
