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Vitek1552 [10]
3 years ago
10

Thirty pounds of grass seed will cover 1\3 of an acre. Which unit rate describes this situation?

Mathematics
1 answer:
erik [133]3 years ago
7 0
As always, the "unit rate" can be written two ways. You have not specified which one you want.

.. (30 lb)/(1/3 ac) = 90 lb/ac

.. (1/3 ac)/(30 lb) = (1/90) ac/lb
You might be interested in
Help with question 5a
Llana [10]
This is a refreshing question!

We are given that
f(r)=ar+b, and
Sum f(r) =125 for r=1 to 5
Sum f(r) = 475 for r=1 to 10.

and we know, using Gauss's method, that
G(n)=sum (1,2,3.....n) = n(n+1)/2 or
G(n)=n(n+1)/2

Sum f(r) =125 for r=1 to 5
=>
sum=a(sum of 1 to 5) + 5b => G(5)a+5b=125   [G(5)=15]
15a+5b=125 ...................................................(1)

Similarly, Sum f(r) =  475 for r=1 to 10 => G(10)a+5b=475  [G(10)=55]
=>
55a+10b=475.................................................(2)

Solve system of equations (1) and (2)
(2)-2(1)
55-2(15)a=475-2(125) => 25a=225 =>
a=9

Substitute a=9 in 1 => 15(9)+5b=125 => 5b=-10
b=-2

Substitute a and b into f(r), 
f(r)=9r-2
check: sum f(r), r=1,5 = (9-2)+(18-2)+(27-2)+(36-2)+(45-2)=135-10=125 [good]

We define the sum of f(r) for r=1 to n as
S(n)=sum f(r) for r=1 to n = 9(sum 1,2,3....n)-2n = 9n(n+1)/2-2n = 9G(n)-2n
S(n)=9n(n+1)/2-2n
checks:
S(5)=9(15)-2(5)=135-10=125  [good]
S(10)=9(55)-2(10)=495-20=475 [good]

Hence 
(a)
S(n)=sum f(r) for r=1,n
= 9(sum i=1,n)+n(-2)
= 9(n(n+1)/2 -2n
=(9(n^2+n)/2) -2n

(b) sum f(r) for i=8,18
=sum f(r) for i=1,18  -  sum f(r) for i=1,7
=S(18)-S(7)
=(9(18^2-18)/2-2(18))-(9(7^2-7)/2-2(7))
=1503-238
=1265
5 0
3 years ago
So if I buy something for $26.98 and buy something else for $6.10 what will be the Total.​
Ratling [72]

Answer:

33.08 $

I believe we add the two together and get our total !

— hope this helped :)!

6 0
3 years ago
A mass attached to a spring is pulled towards the floor then let go. Its height is recorded and
andreev551 [17]

First find the derivative,

\dfrac{d}{dt}\Big(-10\cos(4t)\Big)=40\sin(4t).

Then find the critical point,

40\sin(4t)=0\implies t=40\mathrm{s}.

Hope this helps.

I am a little rusty here :(.

3 0
3 years ago
For the graphs below, for which probability distribution is the value of the median greater than the value of the mean?
aev [14]
A: negatively skewed
8 0
3 years ago
Read 2 more answers
What is the slope of a line that passes through the points (61,-17) and (62,64)
4vir4ik [10]

Answer:

m = 81

Step-by-step explanation:

Recall that slope m = rise / run.

As we go from (61,-17) to (62,64), the horizontal measurement (x) increases by 1 and the vertical measurement (y) increases by 81.

Thus, the desired slope is

        81

m = ------ = 81

          1

7 0
3 years ago
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