Answer:
x = 64 m
Step-by-step explanation:
The scale is proportional to the actual:
(6 m)/(3/4 cm) = x/(8 cm)
Multiplying by 8 cm, we get ...
x = (8 cm)·(6 m)/(3/4 cm)
x = 64 m . . . . the width of the actual wall
9t = 27.99
5t = ?
Cross-multiply : 9t? = 139.95t
?=15.55
Answer:
The larger of the two is 44.67
Step-by-step explanation:
let the first number=x
let the second number=y
We can derive a system of equations using the mathematical statements
Their sum is 33:
x+y=33( call this equation 1)
Sum of first number and four times the second is -2:
x+4y=-2(call this equation 2)
Since the integer coefficients of x in both equations are the same we can quickly subtract one from the other to eliminate it
For this explanation, I choose to subtract equation 1 from 2
(x+4y=-2)-(x+y=33)=3y=-35
y=-35/3
Now plug in the value of y into any equation for that of x. Say we plug into equation 1
x+(-35/3)=33
x-35/3=33( multiply through by 3)
3x-35=99
3x=99+35
3x=134
x=134/3
Therefore,x=134/3 or 44.67 and y=-35/3 or -11.67
Answer:
The integral diverges
Step-by-step explanation:
Consider the integral from 0 to infinity of

We can do this in parts

When we substitute limits infinity we find that the values become infinity
Hence the integral diverges
The given improper integral diverges