Answer:
![|T -37.5| \leq 3.5](https://tex.z-dn.net/?f=%20%7CT%20-37.5%7C%20%5Cleq%203.5%20)
And using properties of absolute value we got:
![-3.5 \leq T-37.5 \leq 3.5](https://tex.z-dn.net/?f=%20-3.5%20%5Cleq%20T-37.5%20%5Cleq%203.5)
And adding 37.5 on both sides is given by:
![-3.5+37.5 \leq T \leq 3.5+ 37.5](https://tex.z-dn.net/?f=%20-3.5%2B37.5%20%5Cleq%20T%20%5Cleq%203.5%2B%2037.5)
![34 \leq T \leq 41](https://tex.z-dn.net/?f=%2034%20%5Cleq%20T%20%5Cleq%2041)
Step-by-step explanation:
For this case we assume that the ideal temperature is given by ![T=37.5 F](https://tex.z-dn.net/?f=%20T%3D37.5%20F)
And for this case we know that the limits within 3.5 F within the ideal temperature so we can write this like that:
![|T -37.5| \leq 3.5](https://tex.z-dn.net/?f=%20%7CT%20-37.5%7C%20%5Cleq%203.5%20)
And using properties of absolute value we got:
![-3.5 \leq T-37.5 \leq 3.5](https://tex.z-dn.net/?f=%20-3.5%20%5Cleq%20T-37.5%20%5Cleq%203.5)
And adding 37.5 on both sides is given by:
![-3.5+37.5 \leq T \leq 3.5+ 37.5](https://tex.z-dn.net/?f=%20-3.5%2B37.5%20%5Cleq%20T%20%5Cleq%203.5%2B%2037.5)
![34 \leq T \leq 41](https://tex.z-dn.net/?f=%2034%20%5Cleq%20T%20%5Cleq%2041)
A.
![3 = a \times b { }^{0}](https://tex.z-dn.net/?f=3%20%3D%20a%20%5Ctimes%20b%20%7B%20%7D%5E%7B0%7D%20)
when it's to the 0 power it equals 1
![b {}^{0} = 1](https://tex.z-dn.net/?f=b%20%7B%7D%5E%7B0%7D%20%20%3D%201)
![3 = a \times 1](https://tex.z-dn.net/?f=3%20%3D%20a%20%5Ctimes%201%20)
so therefore a=3
_______________
![75 = a \times b {}^{2}](https://tex.z-dn.net/?f=75%20%3D%20a%20%5Ctimes%20b%20%7B%7D%5E%7B2%7D%20)
replace a with 3
![75 = 3 \times b {}^{2}](https://tex.z-dn.net/?f=75%20%20%3D%203%20%5Ctimes%20b%20%7B%7D%5E%7B2%7D%20)
divide 75 by 3 equalling 25
![b {}^{2} = 25](https://tex.z-dn.net/?f=b%20%7B%7D%5E%7B2%7D%20%20%3D%2025)
lastly find the square root
![\sqrt{25} = 5](https://tex.z-dn.net/?f=%20%5Csqrt%7B25%7D%20%20%3D%205)
there fore
________
b= 5
a= 3
I hope this was helpful:)
Answer: y=3
Step-by-step explanation: y would be 3 because in the problem, x is being multiplied,so to do the inverse, you'd need to divide. 6 divided by 2 is 3.
<span>To find: Cost of backcover.
Solution:
Let the cost of backcover be x.
Then,
56 = 2x - 24
56+24 = 2x
80 = 2x
80 / 2 = x
x = 40
The cost of backpack is $40.</span>
Answer:
Number of guests: 8, 12, 20, 56, 40
Number of tables: 2, 3, 5, 7, 5