<em>5x-3=(x+7)+3x</em>
<em>5x-3=x+7+3x</em>
<em>5x-x-3x=7+3</em>
<em>x=10</em>
HOPE I HELPED!!!
Answer:
1. The base is a triangle.
Step-by-step explanation: This one seems like it's the only corret one, You might have to wait and see the other answers roll in.
Answer: length = 14 meters
Width = 10 meters
Step-by-step explanation:
The rectangular tennis court has two equal lengths,L and two equal widths,W
The area of the tennis court is expressed as
Area = Length × width
The area is given as 140 square meters. It means that
L× W = 140
It's length is 6 meters less than twice it's width. It means that
L = 2W - 6
Substituting L = 2W - 6 into LW = 140, it becomes
W(2W - 6) = 140
2W^2 - 6W = 140
2W^2 - 6W - 140 = 0
W^2 - 3W - 70 = 0
W^2 + 7W - 10W - 70 = 0
W( W + 7 ) - 10( W + 7) = 0
( W + 7 )(W - 10) = 0
( W + 7 ) = 0 or W - 10 = 0
W= -7 or W = 10 meters
The value cannot be negative so W = 10
L = 2W - 6 = 2×10 - 6
L = 20 - 6 = 14 meters
Answer:
The appropriate alternative hypothesis if he wanted to substantiate his suspicion would be 
Step-by-step explanation:
At the null hypothesis, we test that the mean is equal to a certain value.
At the alternate hypothesis, we test that the mean is different, less than or more than the mean value tested at the null hypothesis.
The historical U.S. mean unemployment insurance benefit was reported to be $238 per week.
This means that the null hypothesis is:
A researcher in the state of Virginia anticipated that sample data would show evidence that the mean weekly unemployment insurance benefit in Virginia was above the national level.
This means that the alternate hypothesis is:
