Caitlin = 20 laps
Hannah = 4/5 as many laps
Multiply the laps swan by Caitlin (20) by 4/5
20 x 4/5 = 80/5 = 16
Hannah swam 16 laps
i think its b
Step-by-step explanation:
The correct answers are:
- The ordered pair (7, 19) is a solution to the first equation because it makes the first equation true.
- The ordered pair (7, 19) is not a solution to the system because it makes at least one of the equations false.
Further explanation:
Given equations are:
2x-y = -5
x+3y = 22
We have to check whether the given statements are true or not. In order to find that we have to put the points in the equations
Putting the point in 2x-y = -5
Putting the point in x+3y=22
The point satisfies the first equation but doesn't satisfy the second. So,
1. The ordered pair (7, 19) is a solution to the first equation because it makes the first equation true.
This statement is true as the point satisfies the first equation
2. The ordered pair (7, 19) is a solution to the second equation because it makes the second equation true.
This Statement is false.
3. The ordered pair (7, 19) is not a solution to the system because it makes at least one of the equations false.
This statement is true.
4. The ordered pair (7, 19) is a solution to the system because it makes both equations true.
This statement is false as the ordered pair doesn't satisfy both equations.
Keywords: Solution of system of equations, linear equations
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Answer:
480 mm³
Step-by-step explanation:
The volume (V) of a pyramid is
V = area of base × height, hence
V = × 96 × 15 = 32 × 15 = 480
Answer:
Options (1), (2) and (4).
Step-by-step explanation:
Given question is incomplete; Find the complete question in the attachment.
Triangle ABC is a right triangle.
ΔABC has been dilated by a scale factor of 2 forming ΔA'B'C'.
These are the observations,
1). A and A' will be co-linear.
2). Since the given triangle has been dilated about a point B therefore, after dilation vertex B and B' will at be same location.
3). Length of B'C' = 2BC
4). AB and BC are the segments which will lie on the sides BA' and BC'.
5). Pre-image ABC will be inside the image A'B'C'.
Therefore, Options (1), (2) and (4) will be the answer.