Answer:
There are 96 large tents and 60 small tents
Step-by-step explanation:
Here, we want to calculate the number of tents of each sizes there
Let the number of 6-boys tent be s and the number of 4-boys tent be f
6s + 4f = 816 ••••••(i)
Ratio of large to small ( ratio of s to f)
8:5 = s/f
8/5 = s/f
8f = 5s
f = 5s/8 ••••(ii)
Substitute ii into i
6s + 4(5s/8) = 816
6s + 5s/2 = 816
Multiply through by 2
12s + 5s = 1,632
17s = 1632
s = 1632/17
s = 96
f = 5s/8
f = (5 * 96)/8 = 60
The original price of the laptop is calculated as $545
<h3>How to find the original Price?</h3>
We are given;
Sales Price of Laptop = $299.75
Now, the laptop is on sale for 45% off regular price.
If original price is x, then we can express that;
(100% - 45%) * x = 299.75
Thus;
55%x = 299.75
0.55x = 299.75
x = 299.75/0.55
x = $545
Thus, the original price of the laptop is calculated as $545
Read more about Original Price at; brainly.com/question/7459025
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Notice that the 2 expressions have 2 common terms.
(r-s) is just (s-r) times (-1)
similarly
(t-s) is just (s-t) times (-1)
this means that :
(r-s) (t-s) + (s-r) (s-t)=-(s-r)[-(s-t)]+(s-r) (s-t)
the 2 minuses in the first multiplication cancel each other so we have:
-(s-r)[-(s-t)]+(s-r) (s-t)=(s-r) (s-t)+(s-r) (s-t)=2(s-r) (s-t)
Answer:
d)<span>2(s-r) (t-s) </span>
Let the distance from the engineer to the base of the building be x, then
tan 22 = 450/x
x = 450/tan 22 = 1,113.79
Therefore the distance from the engineer to the base of the building to the nearest foot = 1,114 feet
Answer:
(3+p)
Step-by-step explanation:
solution
first expression=9-P^2
=3^2 - P^2
=(3+P) (3-p)
second expression=p^2 + 3p
= p(3+p)
Therefore lCM= (3+p)
