Answer:
I believe it is four dollars
Answer:
![(x,y)=(0,\frac{-2}{3})](https://tex.z-dn.net/?f=%28x%2Cy%29%3D%280%2C%5Cfrac%7B-2%7D%7B3%7D%29)
Step-by-step explanation:
Given : Vertices of Triangle
,
and ![R(x_3,y_3)=(2,-3)](https://tex.z-dn.net/?f=R%28x_3%2Cy_3%29%3D%282%2C-3%29)
To find : Centroid of a triangle
The centroid of a triangle is the point of intersection of the three medians of the triangle.
The formula to calculate the centroid of a triangle is:
![(x,y)=(\frac{x_1+x_2+x_3}{3},\frac{y_1+y_2+y_3}{3})](https://tex.z-dn.net/?f=%28x%2Cy%29%3D%28%5Cfrac%7Bx_1%2Bx_2%2Bx_3%7D%7B3%7D%2C%5Cfrac%7By_1%2By_2%2By_3%7D%7B3%7D%29)
Where,
are the coordinates of the centroid
Substituting the values in the formula gives us:
![(x,y)=(\frac{x_1+x_2+x_3}{3},\frac{y_1+y_2+y_3}{3})](https://tex.z-dn.net/?f=%28x%2Cy%29%3D%28%5Cfrac%7Bx_1%2Bx_2%2Bx_3%7D%7B3%7D%2C%5Cfrac%7By_1%2By_2%2By_3%7D%7B3%7D%29)
![(x,y)=(\frac{-4+2+2}{3},\frac{-1+2-3}{3})](https://tex.z-dn.net/?f=%28x%2Cy%29%3D%28%5Cfrac%7B-4%2B2%2B2%7D%7B3%7D%2C%5Cfrac%7B-1%2B2-3%7D%7B3%7D%29)
![(x,y)=(\frac{0}{3},\frac{-2}{3})](https://tex.z-dn.net/?f=%28x%2Cy%29%3D%28%5Cfrac%7B0%7D%7B3%7D%2C%5Cfrac%7B-2%7D%7B3%7D%29)
Therefore, ![(x,y)=(0,\frac{-2}{3})](https://tex.z-dn.net/?f=%28x%2Cy%29%3D%280%2C%5Cfrac%7B-2%7D%7B3%7D%29)
x - y = - 11 .............( 1 )
y + 7 = - 2x ...............( 2 )
from equation ( 1 )
x - y = - 11
x = -11 + y ...........( 3)
putting x in equation ( 2 )
y + 7 = - 2 x
y + 7 = -2 ( -11 + y ) y + 7 = 22 - 2 y y + 2 y =22 - 7
3 y = 15 y = 15 / 3
putting value of y in equation 3
x = -11+ ( 13 /5 ) x = -33 /3 + 15 / 3 ( l.c.m)
x = -17 / 5
check
x = -11 + y
- 17 / 5 = -11 + 13 / 5
-17 /5 = -17 / 5
Answer:
y = -20
Step-by-step explanation:
Move all terms not containing y to the right side of the equation.
Therefore, that is how you got your answer: y = -20
To solve this problem you must follow the proccedure shown below:
1. You have the following information given in the problem above:
- <span>Marta is making 3 servings of fruit salad.
- Marta adds 3/8 cups blueberries for each serving.
- Her measuring cup holds 1/8 cup.
2. Then, you have:
1 time----1/8 cup
x----3/8 cups
x=(3/8)/(1/8)
x= 3x8/1x8
x=24/8
x=3 times
H</span><span>ow many times must Marta measure 1/8 cup of blueberry to have enough for the fruit salad?
The answer is: 3 times</span>