Now, if the diameter is 6 inches, then that means the radius is half that, or 3.
check the picture below.
check the picture below.
A cat weighs 3.5 ounces when born. The cat grows 0.5 ounces each week. After
2 answers:
Answer: 26 weeks
Step-by-step explanation:
This is an example of an arithmetic sequence.
The first term = 3.5
common difference = 0.5
Using the formula for calculating the nth term of an arithmetic sequence :
= a + (n - 1 ) d
Therefore :
16.5 = 3.5 + ( n - 1 ) x 0.5
16. 5 = 3.5 + 0.5n - 0.5
16.5 = 3 + 0.5n
16.5 - 3 = 0.5n
13.5 = 0.5n
n = 13.5/0.5
n = 27
Therefore , it will take the cat (n-1) weeks to weigh 16.5 ounce, which will be 27 - 1 = 26
check:
3.5 + 26 ( 0.5)
= 3.5 + 13
= 16.5
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Answer: There are 48 students in the class.
Step-by-step explanation:
Let the number of students = S
Let the number of benches = B
<em>If 4 students sit on each bench, 3 benches are left vacant.</em>
S = 4(B - 3)
S = 4·B - 12 } Equation 1
<em>If 3 students sit on each bench, 3 students still standing.</em>
S = 3·B + 3 } Equation 2
We can match the two equations because they both indicate the same number of students.
4B - 12 = 3·B + 3
on solving this
4·B - 3·B = 3 + 12
B = 15 → number of benches
That is the number of benches, therefore substituting the value for B in equation 1
S = 4·B - 12 Equation 1
S = 4·15 -12
S = 60 - 12 = 48 → number of students
Answer: There are 48 students in the class.
<h3>Verification</h3>There are 48 students and 15 benches.
<em>If 4 students sit on each bench, 3 benches are left vacant.</em>
48students ÷ 4students/bench = 12 benches are occupied and left 3 vacant benches.
<em>If 3 students sit on each bench, 3 students still standing.</em>
<h3 />15benches * 3 students/bench = 45 students are sitting and 3 students remain standing.
<h3>Checked!!</h3>
Given:
The given polynomial is
When it divided by (x+1) gives remainder 0 and when divided by (x-2) gives remainder of 45.
To find:
The values of m and n.
Solution:
According to the remainder theorem, if a polynomial P(x) is divided by (x-c), then the remainder is P(c).
Let the given polynomial be P(x).
When it divided by (x+1) gives remainder 0. So, P(-1)=0.
...(i)
When P(x) is divided by (x-2) gives remainder of 45. So, P(2)=0
...(ii)
Multiply 2 on both sides of (i).
...(iii)
Subtract (iii) from (ii).
Putting m=5.5 in (i), we get
Therefore, the values of m and n are 5.5 and -21.5 respectively.