<h3>
Answer: 5</h3>
=========================================================
One method is to plot the points P(3,6) and Q(7,3) on the same xy grid. Plot a third point R at (3,3). See the diagram below.
A right triangle forms in which we can find the legs PR = 3 and RQ = 4. The hypotenuse is found through the pythagorean theorem.
a^2+b^2=c^2
3^2+4^2 = c^2
9+16 = c^2
c^2 = 25
c = sqrt(25)
c = 5
This is the length of PQ
-----------------------------------
Or you can use the distance formula which is effectively using the pythagorean theorem just in a slightly different format (though it may not be obvious).

Answer:
X - 7 = - 3
X = - 3 + 7
X = 4
the 7 turns positive because it was moved to the other side of the symbol "=" so we reverse the sign
- becomes +
and
+ becomes -
Since sale is 40% so the price is 60%
61*(60%) = 36.6
the tax is 5%
so the price after tax is: 36.6 * (1 +5%) = $38.43
Answer:
Step-by-step explanation:
10 contain both chocolate and caramel
There are 18 candies.
3 don't contain either chocolate or caramel
12 contain chocolate.
There are 18 - 12 - 3 that are not accounted for. So we have 3 that are not mentioned. Those 3 must contain just caramel.
So it should be filled out like this
contain caramel Do not contain Caramel
10 2
3 3
Answer:
2 raisins.
Step-by-step explanation:
Let x represent total number of required ingredient.
We have been given that Ren finds 6 peanuts, 4 raisins, 3 cranberries, and 5 chocolate chips in a handful of trail mix. We are asked to find of which ingredient Ren will have 2 pieces for a total of 9 pieces.
First of all, we will find total number of ingredients by adding each ingredient as:


Now, we will use ratio to solve for our given problem as:





Since there are 4 raisins, therefore, for every 9 pieces in Ren's handful of trail mix there are 2 raisins.