Based on the Roni using a lawn mower and Allie pushing one, Roni would be able to mow 0.71 of the field.
<h3>How much of the field would Roni mow?</h3>
Assume that the part of the field that Roni would mow is x.
The relevant equation would be:
x/30 + x/75 = 1
5x/150 + 2x/150 = 1
7x / 150 = 1
x = 21.43
In 30 minutes, Roni would have mowed:
= 21.43 / 30
= 0.71
Full question is:
Roni and Allie are mowing the grass at the soccer field. Roni has a riding lawn mower and can mow the field in 30 minutes. Allie is pushing a lawn mower and can mow the field in 75 minutes.
Find out more on the rate of work at brainly.com/question/4976375.
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![2x + 9 = 5x](https://tex.z-dn.net/?f=2x%20%2B%209%20%3D%205x)
![5x = 2x + 9](https://tex.z-dn.net/?f=5x%20%3D%202x%20%2B%209)
Subtract sides 2x
![- 2x + 5x = - 2x + 2x + 9](https://tex.z-dn.net/?f=%20-%202x%20%2B%205x%20%3D%20-%202x%20%20%2B%202x%20%2B%209)
![3x = 9](https://tex.z-dn.net/?f=3x%20%3D%209)
Divide sides by 3
![\frac{3x}{3} = \frac{9}{3} \\](https://tex.z-dn.net/?f=%20%5Cfrac%7B3x%7D%7B3%7D%20%20%3D%20%20%5Cfrac%7B9%7D%7B3%7D%20%20%5C%5C%20)
![x = 3](https://tex.z-dn.net/?f=x%20%3D%203)
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CHECK :
![2x + 9 = 5x](https://tex.z-dn.net/?f=2x%20%2B%209%20%3D%205x)
![2(3) + 9 = 5(3)](https://tex.z-dn.net/?f=2%283%29%20%2B%209%20%3D%205%283%29)
![6 + 9 = 15](https://tex.z-dn.net/?f=6%20%2B%209%20%3D%2015)
![15 = 15](https://tex.z-dn.net/?f=15%20%3D%2015)
So the value is correct.
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(i) I used distributive property to get the x’s and y’s out of parentheses. I then combined like-terms to simplify until I could do no more. That is your final answer for (i) is -3x - 12y
(ii) This one is similar to the first one, just with no parentheses. I combined like terms again until not like terms were left. Your final answer for (ii) is -3k -2 -2n
(iii) I started by dividing 15 by 3 and got 5, and because the 15 had an x to it, you get 5x. I then moved onto the next term, 9. 9 divided by 3, to get 3. Your final answer for (iii) is 5x + 3
Answer:
the answer is the third one
Step-by-step explanation:
Answer:
$11543.63
Step-by-step explanation:
<u>Plug information into A=P(1+r/n)^nt</u>
13000 = P(1+(.04/2))^(2*3)
13000 = P(1.02)^6
<u>Isolate P</u>
13000/(1.02^6) = P
P = $11543.63