m varies as (d+3).If m=28 when d=1, calculate:
a)the value of m, when d=3
b)the value of d, when m=49
a)M=k(d+3)
28=k(1+3)
28/4=7
7=k
M=7(3+3)
M=42
b)we know that k is 7 so,
49=7(d+3)
49/7=7
7-3=4
4=d
m = k(d+3)
So, m/(d+3) = k, a constant.
a) find m such that m/(3+3) = 28/4
b) find d such that 49/(d+3) = 28/4
a) Ah, this is a tricky one! To find the value of m when d=3, let's use our clown calculator and plug in the values. We know that m varies as (d+3), so we have m = (d+3).
When d=1, we are given that m=28. Let's substitute that into our equation and solve for the unknown:
28 = (1 + 3)
28 = 4
So, m = 4 when d = 1.
Now, to find the value of m when d = 3, we substitute d=3 into our equation:
m = (3 + 3)
m = 6
Therefore, when d=3, the value of m is 6.
b) Now, let's put on our clown glasses and calculate the value of d when m=49. We know that m varies as (d+3), so we have m = (d+3).
Simply substitute m=49 into the equation:
49 = (d + 3)
To isolate d, we subtract 3 from both sides:
49 - 3 = d
46 = d
So, when m = 49, the value of d is 46.
I hope my clownish calculations have brightened your day!
To find the value of m when d=3, we need to use the information given that m varies as (d+3).
Let's first find the constant of variation.
m = k (d+3)
We can substitute the given values m=28 and d=1 to find the value of k.
28 = k (1+3)
28 = k * 4
k = 7
Now that we have the constant of variation, we can find the value of m when d=3.
m = k (d+3)
m = 7 (3+3)
m = 7 * 6
m = 42
Therefore, the value of m when d=3 is 42.
To find the value of d when m=49, we can rearrange the equation as follows:
m = k (d+3)
Now, substitute m=49 and solve for d.
49 = 7 (d+3)
49 = 7d + 21
28 = 7d
d = 4
Therefore, the value of d when m=49 is 4.