Answer:
length: 16 m; width: 13 m
Step-by-step explanation:
Write each of the statements as an equation. You know that the formula for the perimeter is ...
P = 2(L +W)
so one of your equations is this one with the value of P filled in:
• 2L + 2W = 58
The other equation expresses the relation between L and W:
• L = W +3 . . . . . . . . the length is 3 meters greater than the width
There are many ways to solve such a system of equations. Since you have an expression for L, it is convenient to substitute that into the first equation to get ...
2(W+3) +2W = 58
4W +6 = 58 . . . . . . . simplify
4W = 52 . . . . . . . . . . subtract 6
W = 13 . . . . . . . . . . . .divide by 4
We can use the expression for L to find its value:
L = 13 +3 = 16
The length is 16 meters; the width is 13 meters.
Answer:
X=9
Step-by-step explanation:
3.5(7−x)+32=106−1.5(4x+18)
Step 1: Simplify both sides of the equation.
3.5(7−x)+32=106−1.5(4x+18)
(3.5)(7)+(3.5)(−x)+32=106+(−1.5)(4x)+(−1.5)(18)(Distribute)
24.5+−3.5x+32=106+−6x+−27
(−3.5x)+(24.5+32)=(−6x)+(106+−27)(Combine Like Terms)
−3.5x+56.5=−6x+79
−3.5x+56.5=−6x+79
Step 2: Add 6x to both sides.
−3.5x+56.5+6x=−6x+79+6x
2.5x+56.5=79
Step 3: Subtract 56.5 from both sides.
2.5x+56.5−56.5=79−56.5
2.5x=22.5
Step 4: Divide both sides by 2.5.
2.5x
2.5
=
22.5
2.5
x=9
Answer:
40
Step-by-step explanation:
highest=2(lowest)+7
Replace the variables here:
87=2(lowest)+7
minus 7 on both sides
80=2(lowest)
divide both sides by 2
40=lowest
Answer:
112
Step-by-step explanation:
Given that in a study of the stability of IQ scores, a large group of individuals is tested once at age 18 and again at age 35.
Age 18: average score = 100, SD = 15
Age 35: average score = 100, SD = 15, r = 0.80
Let us obtain regression equation of y on x.
Let y be the scores at age 35 and x at age 18
Slope = 
The line passes through (100,100) being average of x and y
Hence regression line would be

a) Here given that x =115
Hence 
the average score at age 35 for all the individuals who scored 115 at age 18, would be 112.
b) Prediction also would be the same 112.