If x represents the number of pieces of fruit Janet ate, then Sylvia ate 2 * (x+4) pieces of fruit based on the given question.
The question requires an algebraic expression to show how many pieces of fruit Sylvia ate. According to the question, Tom ate four more pieces of fruit than Janet. If x is the number of fruits Janet ate, then we can represent the number of fruits Tom ate as x + 4.
Next, the question states that Sylvia ate twice as many pieces of fruit as Tom. So, we can represent the number of pieces of fruit Sylvia ate as 2 * (x+4). Hence, this is the expression that represents the amount of fruit that Sylvia ate.
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3x _ 2y = 8
Answers:
x = 4, y = 2
x = 4, y = _2
x = _2, y = 4
x = 2, y = 4
Answer:
Option A is correct.
x =4 , y = 2
Explanation:
Given the system of equation:
......[1]
.....[2]
Multiply equation [2] by 3 both sides we get;
Using distributive property:
.....[3]
Add equation [1] and [3], to get eliminate y we get;
Combine like terms we have;
Divide both sides by 11 we get;
Substitute the value of x =4 in [1] we get;
2(4) + 6y = 20
8 + 6y = 20
Subtract 8 from both sides we have;
6y = 12
Divide both sides by 6 we have;
y = 2
Therefore, the values of x and y are; 4 and 2.
If an equation of the linear function in the figure above is y = mx + b, than m = -2
Solving linear equation mean calculating the unknown variable from the equation.
Let the linear equation : y = mx + c
If we draw the above equation on Cartesian Coordinates , it will be a straight line with :
m → gradient of the line
( 0 , c ) → y - intercept
Gradient of the line could also be calculated from two arbitrary points on line ( x₁ , y₁ ) and ( x₂ , y₂ ) with the formula :
If point ( x₁ , y₁ ) is on the line with gradient m , the equation of the line will be :
Let us tackle the problem.
Since the figure is unknown, I will assume it is as shown in the attachment.
First, let us find the equation of solid line passing through points (0 , 2) and (1, 0) by using this formula :
From above equation , it can be concluded that if y = -2x + 2 , then m = -2 and b = 2
Grade: High School
Subject: Mathematics
Chapter: Linear Equations
Keywords: Linear , Equations , 1 , Variable , Line , Gradient , Point
The value of the integer 'n' in the given equation 6n + 13 = -14 is -4.5
The problem seeks to determine an integer 'n' such that the product of 6 and 'n,' increased by 13, equals -14. This can be represented by the equation 6n + 13 = -14. To solve for 'n,' we begin by isolating it. First, we subtract 13 from both sides of the equation, resulting in 6n = -27. Then, we divide both sides by 6 to determine 'n.' Consequently, the value of 'n' is found to be -27/6, which simplifies to -4.5. However, it's worth noting that 'n' must be an integer, and -4.5 is not an integer. Therefore, there may be an issue with the problem statement or solution.
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Step-by-step explanation:
It is given that, the vertical height v, in feet, of a snowboarder jumping off of an overhang can be modeled by the function as :
Where
15 is the initial height of the overhang
-10 is the initial vertical velocity
t is in second
We need to find the time taken by the snowboarder to land after jumping off the overhang. At this condition,
h(t) = 0
So,
On solving above equation using online calculator, we get the value of t = 0.705 seconds. So, the time taken by the snowboarder to land after jumping off the overhang is 0.705 seconds.