Answer:
z = 10
Step-by-step explanation:
Distribute 2 to the terms in the parentheses:
2(2z + 5) = 50
4z + 10 = 50
Subtract 10 from both sides
4z = 40
Divide each side by 4
z = 10
So, the answer is z = 10
The set of real numbers for the equation x – 2 = √(2x – 1) will be 5.
<h3>What is the solution of the equation?</h3>
The solution of the equation means the value of the unknown or variable.
The equation is given below.
x – 2 = √(2x – 1)
Square on both side, then we have
(x – 2)² = 2x – 1
x² – 4x + 4 = 2x – 1
x² – 6x + 5 = 0
x² – 5x – x + 5 = 0
x(x – 5) – 1(x – 5) = 0
(x – 5)(x – 1) = 0
x = 1, 5
The set of real numbers for the equation x – 2 = √(2x – 1) will be 5.
More about the solution of the equation link is given below.
brainly.com/question/545403
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Solution :
It is given that four different prizes were awarded. So,
a). 4 ways for person 47 to win a prize
99 ways to give out the 2nd prize
98 ways to give the 3rd prize
97 ways to give the last prize
∴ P(99,3) = 99 x 98 x 97
b). 1 way to give person 47 their prize
1 way to give person 19 their prize
98 ways to give out the 3rd prize
97 ways to give out the last prize
So, P(98,2) = 98 x 97
Answer:
The maximum volume of space that 1,000 BTUs will cool is 400 cubic foot.
Step-by-step explanation:
Given : A total of 1,000 BTUs are needed to cool a space. If 2.5 BTUs are needed to cool 1 cubic foot of space.
To find : What is the maximum volume of space that 1,000 BTUs will cool?
Solution :
Applying unitary method,
2.5 BTU are needed to cool 1 cubic foot of space.
So, 1 BTU are needed to cool
cubic foot of space.
Then,1000 BTU are needed to cool
cubic foot of space.
i.e. 1000 BTU are needed to cool 400 cubic foot of space.
Therefore, the maximum volume of space that 1,000 BTUs will cool is 400 cubic foot.
-4:2000
-2:1000
-1:500
Hope this helped☺☺