Using systems of equations, we need to eliminate one variable to make it into a 1 variable equation either using elimination or substitution.
Equation 1: 4x - 5y = 18
Equation 2: 5x+y = 58
For equation 2, there is only one y which makes it easy to substitute. So subtract 5x from both sides of the equation to get
y = -5x+58
Then we know what y is in terms of x, so plug it into equation 1.
4x - 5(-5x+58) = 18
It is now an equation with only 1 variable, which we can solve.
Distribute the -5 to (-5x+58)
4x+25x-290 = 18
Combine like terms
29x-290 = 18
Add 290 to both sides
29x = 308
Divide both sides by 29 to isolate the x
x = 308/29 wow what an ugly number, but its alright
Plug in x to equation 2 to find what y is
5(308/29)+y = 58
1540/29+y = 58
Subtract 1540/29 from both sides
y = 142/29
The y value is 142/29
Answer:
Therefore the height of the tower is 116.75 m.
Step-by-step explanation:
Given that a pole that is 2.6 m tall casts a shadow that is 1.03 m long.
Here the height of a object directly proportional to the shadow. It means
Height of the object ∝ shadow
Height of the object= k.shadow
[k is the proportional constant.]
[Height of object is denoted by h and shadow is denoted by s]
Then,
[h₁ is the height of the pole and s₁is the length of the shadow]
Again for the tower
[h₂ is the height of the tower and s₂ is the length of the shadow]
Therefore,
............(1)
Given , and
Putting the value of and equation (1)
[cross multiplication]
Therefore the height of the tower is 116.75 m.
C. y-2=1/2(x+5)
if you bring over the -2 you will get y=1/2(x+5)+2 ... the number outside the parentheses stays they way it is and it’s the y. However, the number inside the parentheses becomes the opposite of what it is and is the x.
Answer: hello the dot plots related to your question is missing attached below is the missing Dot plots
answer: The distribution for Group A is symmetric, and the distribution for Group B is skewed to the right.
Step-by-step explanation:
The true statement is
The distribution for Group A is symmetric, and the distribution for Group B is skewed to the right.
This is because the data value of 10 in Group B makes it to be skewed to the right
Answer:
Step-by-step explanation:
The total number of players in the soccer league=160
The percentage of boys in the soccer league is 40%.
There fore 40% of 160 will give us the number of boys in the soccer
40/100*160=
4/10*16= 64boys