Answer:
The answer is below
Step-by-step explanation:
Transformation is the movement of a point from its initial location to a new location. Types of transformation is rotation, reflection, translation and dilation.
Dilation is the increase or decrease in the size of a figure by a factor (k). If k > 1, then it is a enlargement and if k < 1, it is a reduction. If a point A(x, y) is dilated by a factor k, the new point is A'(kx, ky).
Triangle DEF is a dilation of triangle ABC by a factor of 3/4. Hence the coordinates of triangle DEF is:
D(3/4, 9), E(3/4, 9/2), F(3/4, 27/4)
Well she charged twice as much to walk large then small. Let s be small and l be large.
We we know that
l = 2s
we also know that she wants to make 100 so
xl + ys = 100
Where where x is number of large and y is number of small. it says she walked 10 small and 5 large so
5l + 10s = 100
substitute 2s for l because they are same value as shown in first equation I made
5 (2s) + 10s = 100
10s + 10s = 100
20s = 100
s = 5
we can now solve for l
l = 2s
l = 2 * 5
l = 10
So s is 5 and l is 10.
Answer:
4.It is continuous because the number of gallons can take on any value over a range of values.
Step-by-step explanation:
Discrete variables are ones that are disconnected. This means they take only specific values, with no values inbetween.
Continuous variables are ones that can take any value in a given range.
When measuring the gallons of gas, we can have partial gallons of gas; this means the variable can take any value in a given range, so it is continuous.
X is equal to 62 because it has to equal to 180
Answer:
8 pieces of candy
Step-by-step explanation:
Take the original amount of candy in the bowl to be
.
It says that 20 pieces of candy were added, therefore there are
pieces of candy in the bowl.
Half of the candy is gone, therefore
pieces of candy are left in the bowl.
After half of the candy is gone, there are 14 pieces left, so we can say that 
Solve for
:

