A team t-shirt costs $3 per adult and $2 per child. On a certain day, the total number of adults (a) and children (c) who bought shirts was 100, and the total money collected was $275. Which of the following options represents the number of children and the number of adults who purchased team shirts that day, and the pair of equations that can be solved to find the numbers? A.) 75 children and 25 adults
Equation 1: a + c = 100
Equation 2: 3a − 2c = 275
B.) 75 children and 25 adults
Equation 1: a + c = 100
Equation 2: 3a + 2c = 275
C.) 25 children and 75 adults
Equation 1: a + c = 100
Equation 2: 3a − 2c = 275
D.) 25 children and 75 adults
Equation 1: a + c = 100
Equation 2: 3a + 2c = 275
Answers
Answer:
Option D is correct.
Step-by-step explanation:
A team t-shirt costs $3 per adult and $2 per child.
Let the number of children be = c
Let the number of adults be = a
A team t-shirt costs $3 per adult that is 3a and $2 per child that is 2c, also given is that the total money collected is $275, so equation becomes:
On a certain day, the total number of adults (a) and children (c) who bought shirts was 100, equation becomes:
Now to know the number of children and adult, we can check by plugging in the values from options provided.
25 children and 75 adults = 25(2)+75(3)=50+225 =275
Rest options do not fulfill the requirements, so Option D is correct.
25 children and 75 adults
Equation 1:a + c=100
Equation 2: 3a + 2c=275
Have a nice day!
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Answers
Answer:
X
Step-by-step explanation:
To be a function, the line has to pass the vertical line test. This means that when a vertical line is passed through every x value, it will only cross the graphed line once.
To help: draw vertical lines through each graph.
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In graph X: the line passes once through every area - a function
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Answers
Given:
The coordinates of the point A and B are (-5,-1) and (4,1)
The point P on the directed line segment from A to B such that P is One-fourth the length of the line segment from A to B.
Thus, we have;
and
We need to determine the coordinates of the point P(x,y)
x - coordinates of the point P:
The x - coordinates of the point P can be determined using the formula,
Substituting the values, we get;
Thus, the x - coordinate of the point P is
y - coordinate of the point P:
The y - coordinate of the point P can be determined using the formula,
Substituting the values, we get;
Thus, the y - coordinate of the point P is
Therefore, the coordinates of the point P is
Hence, Option C is the correct answer.
Answer:
The answer is C
Step-by-step explanation:
Answers
Answer:
To find the dimensions of the flower bed, we can set up an equation based on the given information. Let’s assume the length of the shortest side is x. According to the problem, one side is twice the length of the shortest side, which means it is 2x, and the third side is 15 feet more than the length of the shortest side, which means it is x + 151.
The perimeter of a triangle is the sum of all its sides. In this case, we have:
x + 2x + (x + 15) = 143.
Simplifying the equation, we get:
4x + 15 = 143.
Subtracting 15 from both sides of the equation, we have:
4x = 128.
Dividing both sides of the equation by 4, we find:
x = 32.
Now that we know the value of x, we can find the lengths of all three sides:
Shortest side: x = 32 feet.
Side twice the length of the shortest side: 2x = 64 feet.
Third side: x + 15 = 47 feet.
Therefore, the dimensions of the flower bed are approximately 32 feet, 64 feet, and 47 feet.
Answers
from the relation: (sin2(x) +cos2(x) =1 )
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by subs. in the main eqn.
1-cos2(x) + cos(x) =1
by simplify the eqn.
cos(x) -cos2(x)=0
take cos(x) as a common factor
cos(x)* (1-cos(x))=0
then cos(x)=0 && cos(x)=1
cos(x)=0 if x= pi/2
& cos(x) = 1 if x = 0 , 2*pi
so the solution is x= {0,pi/2 , 2*pi}
Answer:
Which statements did you include in your answer?
Isolate sin(x) by adding 4 and taking the square root of both sides.
State that sin(x) = 2 or sin(x) = –2.
State that –2 and 2 are undefined values of the inverse sine function.
There are no solutions because –2 and 2 are not in the domain of the function.
Step-by-step explanation: