Answer:
Yes.
Step-by-step explanation:
According to the Transitive property of the Algebraic properties of equality, two values are said to be equal is they are differently equal to a corresponding third party. This is, If a=b and b=c then a=c.
Hence, if x=5 and 5=y, then following the transitive property of Algebraic properties of equality, x=y, hence the Algebraic property of equality Justifies the statement.
Step-by-step explanation:
Let the width be x feet.
Therefore, length = 2x - 10
Perimeter of rectangle = 52
Hello!
Use the slope formula to solve for the slope of the line (m):
We can plug in the points (0, 4) and (1, 1) to solve:
Therefore, the slope of the line is -3.
Answer:
3444
Step-by-step explanation:
Let R and B be the number of red and blue marbles respectively.
Then,
R+B = 36
R:B = 5:4
Therefore,
Ratio of red marbles = 5/9
Ratio of blue marbles = 4/9
This means,
R = 5/9*36 = 20 marbles
B = 4/9*36 = 16 marbles
If one blue marble is removed from the bag, the new B= 16-1 = 15 blue marbles and the new total of marbles in the bag = 36-1 = 35 marbles.
The new ratios are
R = 20/35 =4/7
B = 15/35 = 3/7
That is, R:B = 4:3
The reasoning of the student is wrong. When a marble is removed, both the number of blue marbles changes as well as the total of the marbles in the bag. In other words, both the values in the ratio reduce by 1.
