The answers are 1, 2, 5, and 7
Answer:
l=102 feet, w=68 feet
Step-by-step explanation:
Let w=width and l=length
P=2l + 2w
And we know that w=2/3l
So, using substitution...
340=2l + 2(2/3l)
340=2l + 4/3l
340=6/3l + 4/3l
340=10/3l (now multiply both sides by 3 to get rid of fraction)
1020=10l
So l=102
Now plug in to get w
2(102)+2w=340
204+2w=340
2w=136
w=68
Now check:
2(102)+2(68)=
204+136=
340 It works!
Answer:
C) 80
Step-by-step explanation:
x + 80 + 20 = 180
x + 100 = 180
x = 80
This is an exponential function.
The starting population is: 10,000 and it doubles every 14 years.
In 42 years ( 42 : 14 = 3 ) the population doubles 3 times.
The equation ( exponential ) is :
y = 10,000 * 2^n
In this case: n = 3
y = 10,000 * 2 ^3 = 10,000 * 8 = 80,000
Answer: In 42 years the population of this town will be 80,000.
Answer:
1.1m
Step-by-step explanation:
Let L denote longer pipe and S denote shorter part
given:
L:S = 9:2
or L/S = 9/2
2L = 9S
S = (2/9)L-----(eq 1)
Also given:
L - 1.65 = 3S
L - 3S = 1.65 ----- (eq 2)
By substitution, sub eq 1 into eq 2
L - 3(2/9)L = 1.65
L - (2/3)L = 1.65
L [ 1 - (2/3) ] = 1.65
L/3 = 1.65
L = 1.65 (3) = 4.95 (substitute into equation 1)
S = (2/9)(4.95) = 1.1m
