Answer:
-2.4
Step-by-step explanation:
Given data
We have the expression before us as
−4.5 + p6= −18.9
Collect like terms
p6= −18.9+4.5
p6= -14.4
Divide both sides by 6
p= -14.4/6
p=-2.4
Hence the value of p= -2.4
Answer:
r=−5.3
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
−7.4r−6.31=3.23−5.6r
−7.4r+−6.31=3.23+−5.6r
−7.4r−6.31=−5.6r+3.23
Step 2: Add 5.6r to both sides.
−7.4r−6.31+5.6r=−5.6r+3.23+5.6r
−1.8r−6.31=3.23
Step 3: Add 6.31 to both sides.
−1.8r−6.31+6.31=3.23+6.31
−1.8r=9.54
Step 4: Divide both sides by -1.8.
−1.8r/−1.8=9.54/−1.8
r=−5.3
Step-by-step explanation:
In order to get the inverse of equation, we will interchange the variables and solve for x and y as follows.
![y = 2x^{2} - 8](https://tex.z-dn.net/?f=y%20%3D%202x%5E%7B2%7D%20-%208)
whereas, ![y + 8 = 2x^{2}](https://tex.z-dn.net/?f=y%20%2B%208%20%3D%202x%5E%7B2%7D)
or x = ![\sqrt{\frac{y+8}{2}}](https://tex.z-dn.net/?f=%5Csqrt%7B%5Cfrac%7By%2B8%7D%7B2%7D%7D)
Now, on interchanging the variable we will get the equation as follows.
![x = 2y^{2} - 8](https://tex.z-dn.net/?f=x%20%3D%202y%5E%7B2%7D%20-%208)
![x + 8 = 2y^{2}](https://tex.z-dn.net/?f=x%20%2B%208%20%3D%202y%5E%7B2%7D)
y = ![\sqrt{\frac{x+8}{2}}](https://tex.z-dn.net/?f=%5Csqrt%7B%5Cfrac%7Bx%2B8%7D%7B2%7D%7D)
Answer: 18 ≤ 6*S ≤ 30
Where S is the number of salmon fillets in one single package.
Step-by-step explanation:
Let's define S as the number of salmon fillets in one package.
We know that it contains at least 3, and no more than 5, then we can write:
3 ≤ S ≤ 5
Now we want to know the total number of salmon fillets that could be on 6 packages, then if S is the number of salmon fillets in one package, 6*S will e the number of salmon fillets in 6 packages.
We can find this by multiplying the inequality:
3 ≤ S ≤ 5
by 6.
We get:
6*3 ≤ 6*S ≤ 6*5
18 ≤ 6*S ≤ 30
Then in 6 packages, we could have any number between 18 and 30 fillets of salmon.