If the dimensions of a rectangle are multiplied by 1/2, its area will be multiplied by 1/4, which means the new area will be one-fourth of the original area.
What is the area of the rectangle?To find the area of a rectangle, we multiply the length of the rectangle by the width of the rectangle.
According to the given information:The area of a rectangle is calculated by multiplying its length and width. If the dimensions of a rectangle are multiplied by a factor of k, then the new area of the rectangle is equal to k times the original area.
In this case, the dimensions of the original rectangle are multiplied by 1/2, which means that the new length and width of the rectangle are 1/2 times the original length and width. Therefore, the new area of the rectangle is equal to (1/2) times the original length multiplied by (1/2) times the original width. This can be simplified to 1/4 times the original area. Therefore, the area of the new rectangle is one-fourth of the area of the original rectangle.
Therefore, If the dimensions of a rectangle are multiplied by 1/2, its area will be multiplied by 1/4, which means the new area will be one-fourth of the original area.
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Abiola left for work at 7.30a.m. On her way she wasted 20 minutes waiting for her friend and finally got to work at 8.20a.m. The work closes at 4p.m., but she stayed at work for 1 hou watching African Magic film on DSTV channel, and got back home at 6p.m. For how long did she stay at work?
Answer:
Abiola stayed at work for 8 hours and 40 minutes.
Step-by-step explanation:
Abiola wasted 20 minutes waiting for her friend, so she actually left for work at 7:50 am (7:30 am + 20 minutes).
She arrived at work at 8:20 am, so she spent 30 minutes (8:20 am - 7:50 am) traveling to work.
Abiola worked from 8:20 am to 4:00 pm, which is a total of 7 hours and 40 minutes (4:00 pm - 8:20 am).
She then stayed at work for an additional 1 hour to watch African Magic, so in total, she was at work for 8 hours and 40 minutes (7 hours and 40 minutes of work + 1 hour of watching African Magic).
Therefore, Abiola stayed at work for 8 hours and 40 minutes.
Annette is surveying people in the city about their interest in a new shopping mall.
She found that 180 people, or 37.5% of those surveyed, do not want a new mall.
How many people did Annette survey?
Annette surveyed a total of 480 people.
Let x be the total number of people Annette surveyed. According to the problem, 37.5% of the people surveyed do not want a new mall, and this amounts to 180 people. We can set up the equation:
0.375 * x = 180
Now, let's solve for x:
x = 180 / 0.375
x = 480
The exponential function P(x)
undergoes a transformation in the following graph.
The preimage of the transformation is labeled P(x),
and the image is labeled I(x).
The statements that correctly describe this transformation include the following:
B. the y-intercept changes from (0, -3) to (0, 3).
D. the x-intercept is not affected by the transformation.
E. the function is reflected in the x-axis.
G. I(x) = -P(x).
What is a transformation?In Mathematics and Geometry, a transformation can be defined as the movement of a point from its initial position to a new location. This ultimately implies that, when a function or object is transformed, all of its points would also be transformed.
In Mathematics and Geometry, a reflection over the x-axis is modeled by this transformation rule (x, y) → (x, -y). This ultimately implies that, a reflection over the x-axis would maintain the same x-coordinate while the sign of the x-coordinate changes from positive to negative or negative to positive.
y-intercept = (0, -3) → y-intercept' = (0, -(-3)) = (0, 3).
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A game is played by spinning the two spinners
shown. Players match the results of the
spinners to combinations on their game cards.
How many different combinations are possible?
There are 36 different combinations possible when spinning the two spinners in the game, obtained by multiplying the number of outcomes on each spinner (6 × 6 = 36).
What is combination?A combination is a way of selecting a group of items from a larger set without regard to the order, often represented as unordered arrangements of objects, used in mathematics, statistics, and various fields of science.
According to the given information:
To determine the total number of different combinations possible in the game, we need to multiply the number of outcomes on each spinner. The first spinner has six equally likely outcomes (1, 2, 3, 4, 5, or 6), and the second spinner also has six equally likely outcomes (A, B, C, D, E, or F). Therefore, the total number of different combinations possible is:
6 (number of outcomes on the first spinner) × 6 (number of outcomes on the second spinner) = 36
So, there are 36 different possible combinations that can be obtained from spinning the two spinners. These combinations can be used to match with the combinations on the players' game cards and determine the winner of the game.
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Select the correct answer.
Kristen gathered data from her classmates about the age and contents of their backpacks. She displayed the data in two scatter plots.
Does either scatter plot indicate a positive correlation between the variables?
A. Only plot A
B. Only plot B
C. Both plot A and plot B
D. Neither plot A nor plot B
Plot B shows a negative correlation between the age and the number of items in the backpack, while plot A does not show any clear correlation. Therefore, the correct answer is B. Only plot B.
In plot A, the data points appear scattered and do not show a clear trend or pattern.
In plot B, the data points are mostly clustered around a diagonal line that slopes downward from left to right, indicating a negative correlation between the age and the number of items in the backpack. Since the question asks for a positive correlation, the correct option is B. Only plot B.
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--The given question is incomplete, the complete question is given
" Question
Select the correct answer.
Kristen gathered data from her classmates about the age and contents of their backpacks. She displayed the data in two scatter plots.
Does either scatter plot indicate a positive correlation between the variables?
A. Only plot A
B. Only plot B
C. Both plot A and plot B
D. Neither plot A nor plot B"--
A tank on a road roller is filled with water to make the roller heavy tank is a cylinder that has a height of 6 feet and a radius of 2 feet what you were foot of water weighs 62.5 pounds fight the way of the water the tech tank
Answer: the tank filled with water weighs 4,710 pounds.
Step-by-step explanation: where:
π = 3.14 (surmised esteem of pi)
r = span = 2 feet
h = tallness = 6 feet
V = 3.14 x (2 feet)^2 x 6 feet
V = 75.36 cubic feet
Since one cubic foot of water weighs 62.5 pounds, the weight of the water within the tank can be calculated by increasing the volume of water by its weight:
Weight of water = volume of water x weight per cubic foot
Weight of water = 75.36 cubic feet x 62.5 pounds per cubic foot
Weight of water = 4,710 pounds
Applying Basic Probability Rules
The probability model shows the distribution of flavors of a chewable multivitamin.
Cherry
Strawberry
0.27
0.25
Flavor
Lemon
Orange
Probability
0.28
Suppose you select a multivitamin from the bottle without looking. Find each probability. Enter your answers as
decimals rounded to the hundredths place.
0.20
Answer:
0.75
Step-by-step explanation:
P (Cherry or Orange)
0.27 + 0.20 = 0.47
P (Not Strawberry)
0.27 + 0.28 + 0.20 = 0.75
pls helppppppppppppppp
Answer:
To find the solution of the system of equation.
The intersection point is the solution of the system of equation in the graph.
(2,7) is the solution of the given system of equation.
The answer is, option A The solution is (2, 7) because the solution to the system must satisfy both equations simultaneously