See the attachments for the answer :)
Answer: x = ± 1.68
Step-by-step explanation:
7x^4 = 56
x^4 = 56/7
x^4 = 8
Let a = x²
(x²)² = 8
(a)² = 8
a = ± √8
Now,
a = -√8
x² = -√8 has no real solution.
Taking +√8
a = √8
x² = √8
x = ± √(√8))
x = ± 1.68
<h2>
The value of A + b + c = - 9</h2>
Step-by-step explanation:
We have,
A + b + c and
A = 4, b = - 5 and c = - 8
To find, the value of A + b + c = ?
∴ A + b + c
Put A = 4, b = - 5 and c = - 8, we get
= 4 + ( - 5) + ( - 8)
= 4 - 5 - 8
= 4 - (5 + 8)
= 4 - (13)
= 4 - 13
= - 9
∴ The value of A + b + c = - 9
5(3x-7)=20
15x-35=20
15x= 55
x= 55/15
x= 11/3
Plug this x value in.
6(11/3)-8
66/3 -8
22-8
14
Final answer: 14
Answer:
432 liters
Step-by-step explanation:
Because the container was already 4/9 full, 240 liters is 5/9 of the whole.
1. Convert 5/9 to a decimal and then a percent by dividing the fraction and then multiplying by 100:
5/9 = 0.5556 = 55.56%
2. To determine what number 240 is 55.56% of, write the equation like this:
0.5556x = 240
(In which x = the number you are solving for)
3. Divide both sides of the equation by 0.5556 to isolate the variable.
x =
x = 432 (Don't forget the unit, liters)
4. To check your work, make sure that 240 is 5/9 (55.56%) of 432:
432 × 0.5556 = 240
(Note: Because the fraction converts to a repeating decimal, I had to round it. This means the answer is a very small decimal off from the actual answer that I put.)