Answer:
The area of the triangle is of 21 units of area.
Step-by-step explanation:
The area of a triangle with three vertices
is given by the determinant of the following matrix:

In this question:
Vertices (3,0) (9,0) (7,6). So




The area of the triangle is of 21 units of area.
Answer:
cups of butter should be use to keep the same ratio.
Step-by-step explanation:
Given:
A recipe for pie dough calls for a ratio of butter to flour of 1/4 :5/6.
If you plan to use 5 cups of flour.
Now, to find the butter should be used to keep the same ratio.
So, to get the quantity of butter by using unitary method:
If,
cup of flour use then butter should be =
.
So, 1 cup of flour use then butter should be =
=
.
Thus, for 5 cups of flour butter should be =
=
.
Therefore,
cups of butter should be use to keep the same ratio.
Answer:
Its either 300 or 315
Step-by-step explanation:
Mainly because 20 ×15= 300 but the triangles on the side, I can't figure it out. I eliminated 82 and 420, 420 mainly because I got it wrong and 82 doesn't make sense.
Although the information has been presented in a baffling way in this question, but I think I understood the expressions.
We have been given that price of monster truck is x dollars and there is an 13% monster truck tax.
We can express the monster truck tax amount as
.
Therefore, the total amount including tax will be
.
We can now match each statement with its equivalent expression as shown below
The price of Camacho’s new truck before tax = x
The amount of tax Camacho pays = 0.13x
Camacho’s total bill for the monster truck = 1.13x
None of these = 0.87x
In this case if x<100 George will be losing money. So he will only earn a profit when he sells more than 100 DVDs. Essentially (x-100) represents his break-even point.