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2 years ago

How do I solve this equation for x?

Mathematics

1 answer:

tester [92]2 years ago

7 0

1) Divide both sides by 2
2x+12^2/3 =16

2) Solve the exponent
2x+12^2/3 =16

(2x+12^2/) ^3/2 =16^3/2 ( raise both sides to power)

2x+12 = 64

3) Subtract 12 from both sides
2x + 12 - 12 = 64-12

2x = 52

4) divide both sides by 2
2x/2 = 52/2

x = 26

Final answer : x = 26

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Students sold books to the local library as a part of a school drive. paper books were brought for $1.45 each. The library spent

nalin [4]

Answer:

213 books

Step-by-step explanation:

Paper books = $1.45 each

$ 1.45 = 1 paper book

$ 1 = 1/1.45 paper book

$98.6 = 98.6/1.45 paper books

$ 98.6 = 68 paper books

Hardback books = $ 2.25 each

$2.25 = 1 Hardbook

$1 = 1/2.25 hardbook

$ 328.10 = 328.10/2.25 hardbooks

$ 328.10 = 145.822 hard books

Number of books cannot be a decimal number, so the value has to be estimated to a nearer whole number.

$ 328.10 = 145 hard books

Total number of books bought = (145 + 68)books= 213 books (Answer)

4 0

2 years ago

Will drawing an angle bisector always result in two acute angles?

wel

Check the angle. If it they are less than 90° , so they will result in acute angles.

7 0

3 years ago

Suppose y varies directly as x, and y=14 when x=4. What is the value of y when x=9

Katena32 [7]

Given :-

y varies directly as x, and y=14 when x=4.

To Find :-

the value of y when x=9 .

Solution :-

According to Question ,

y = kx ( k is constant )

When y = 14 and x = 4 ,

14 = k(4)
k = 14/4
k = 7/2

When x = 9 ,

y = 7/2*9
y = 63/2
y = 31.5

8 0

2 years ago

Process control is nothing more or less than monitoring quality as the work is being performed. Perhaps the most widely adopted

ella [17]

Answer:

a. Grand Mean = 2.799

b. Standard Deviation = 0.01387

c. Standard Error = 0.0016

d. The range with a Z score of 3 = (2.75739, 2.84061)

Step-by-step explanation:

a. Grand mean :

Given that

Sum of 80 values = 223.91

Total observation = 80

Grand mean = 223.91/80 = 2.799

b. With the excel command "STDEV[range of cells]", we get the standard deviation as = 0.01387

c. Standard error = Standard deviation / root of n

$= 0.01387/\sqrt{80}\\ = 0.0016$

d. The range with a Z score of 3 :

lower limit = mean - (3 * SD) = 2.799 - (0.04161) = 2.75739

upper limit = mean + (3 * SD) = 2.799 + (0.04161) = 2.84061

8 0

3 years ago

Which congruence postulate is this? SAS, SSS, AAS, ASA, HL

lara31 [8.8K]

Answer:

SAS

Step-by-step explanation:

6 0

2 years ago