1) 16n - 5
2) 4a + 3b
3) -3c + 27 + 4d
4) 2x - 7y + 3
5) 21x + 14x(second power)
Answer: $36800
Step-by-step explanation:
Principal= $23000
Rate=6%
Time= 10years
Simple interest= Principal×Rate×Time / 100
= 23000×6×10 / 100
= 1380000/100
= $13800
Amount= Principal+Interest
= 23000+13800
= $36800
Answer: it will take 9 hours.
Step-by-step explanation:
The rain is falling at the rate of 1.5 inches per hour. This means that the height of water in the barrel is increasing in arithmetic progression.
The formula for determining the nth term of an arithmetic sequence is expressed as
Tn = a + d(n - 1)
Where
a represents the first term of the sequence.
d represents the common difference.
n represents the number of terms in the sequence.
From the information given,
a = 18 inches
d = 1.5 inches
The expression becomes
Tn = 18 + 1.5(n - 1)
For the number of hours it would take to collect 30 inches of rain in the barrel, Tn = 30
Therefore,
30 = 18 + 1.5(n - 1)
1.5(n - 1) = 30 - 18
1.5(n - 1) = 12
n - 1 = 12/1.5 = 8
n = 8 + 1
n = 9
You would write 0.33 as 33%.
Hope this helps!
Answer:
RS=5 TRUE
RS=4 FALSE (it’s 5)
ST=10 FALSE (it’s 8)
QR=4 FALSE (its 3)
Step-by-step explanation:
First, we have to determine the sides of the triangle.
4x-3=2x+1
4x-2x=1+3
2x=4
x=2
SO, RS=4x-3=4(2)-3=8-3=5
RT=2(x)+1=2(2)+1=5
QR=4²+b²=5². 16+b²=25. b²=25-16. b²=9. b=3
CLAIMS:
RS=5 TRUE
RS=4 FALSE (it’s 5)
ST=10 FALSE (it’s 8)
QR=4 FALSE (its 3)
