Formula for perimeter ;
P = length + length + width + width
P = 2l + 2w
l = -4 + 5w
l = 5w - 4
substitute into equation of perimeter
292 = 2(5w - 4) + 2w
292 = 10w - 8 + 2w
292 + 8 = 10w + 2w
300 = 12w
25 = w
substitute into eqution to find the length;
l = 5(25) - 4
l = 125 - 4
l = 121
therefore, the width is 25 and the length is 121
hope that helps, God bless!
Answer:
240 hours
Step-by-step explanation:
One person hour is a unit indicating the rate at which one person is working on the project .
The company estimates that it will take 2880 person- hours to complete the job
So let's determine how many hours it will take 12 workers to complete same job
The rate = 2880 person/hour
12 persons or workers =( 2880 person/hour)/12 persons
12 persons or workers = 2880/12
12 persons or workers=240 hours
It will take 12 workers 240 person hour to finish the project.
Thank you
You would put it up into proportions so 33 over 55 equals x over 100. Then you would cross multiply so 55x=3300. Then you would divide 3300 by 55 and get 60%.
.66 is 66 out of 100. "out of" means divide
66/100
We can reduce this by dividing each number by the same amount - 2
33/50
the cost for each of jelly beans and each pound of trail mix is $2.5 and $1.75
<u>Step-by-step explanation:</u>
Given A store is having a sale on jelly beans and trail mix. For 3 pounds of jelly beans and 2 pounds of trail mix, the total cost is $11. For 5 pounds of jelly beans and 6 pounds of trail mix, the total cost is $23 . We have to find the cost for each pound of trail mix and each pound of jelly beans.
Let the cost of each pound of trail mix is $y.
and the cost of each pound of jelly beans is $x.
According to question,
For 3 pounds of jelly beans and 2 pounds of trail mix, the total cost is $11.
⇒
→ (1)
For 5 pounds of jelly beans and 6 pounds of trail mix, the total cost is $23
⇒
→ (2)
Solving (1) and (2), we get
3(1 equation)-(2 equation)=0
⇒
⇒
hence,
⇒
⇒
Putting
in
we get ;
⇒
⇒ 
⇒ 
⇒ 
Hence, the cost for each of jelly beans and each pound of trail mix is $2.5 and $1.75 .