MATHEMATICS HIGH SCHOOL

If x, y, and z are integers greater than 1, and (327)(510)(z) = (58)(914)(xy), then what is the value of x? (1) y is prime (2) x is prime

Answers

Answer 1

Answer:

Answer:

1) 5

2) 5

Step-by-step explanation:

Data provided in the question:

(3²⁷)(5¹⁰)(z) = (5⁸)(9¹⁴)( $x^y$ )

Now,

on simplifying the above equation

⇒ (3²⁷)(5¹⁰)(z) = (5⁸)((3²)¹⁴)( $x^y$ )

⇒ (3²⁷)(5¹⁰)(z) = (5⁸)(3²⁸)( $x^y$ )

⇒ $((3^(27))/(3^(28)))((5^(10))/(5^8))z=x^y$

⇒ $((5^2)/(3))z=x^y$

⇒ $(5^2)/(3)=(x^y)/(z)$

we can say

x = 5, y = 2 and, z = 3

Now,

(1) y is prime

since, 2 is a prime number,

we can have

x = 5

2) x is prime

since 5 is also a prime number

therefore,

x = 5

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Answers

Answer:

The answer to the question provided is y=1/2x+2

3/4-2/3 in lowest tems

Answers

Answer:

1/12

Step-by-step explanation:

First, find common denominators. Note that what you do to the denominator, you must do to the numerator.

(3/4)(3/3) = 9/12

(2/3)(4/4) = 8/12

Subtract:

9/12 - 8/12 = 1/12

1/12 is your answer.

Answer:

1/12

Step-by-step explanation:

$(3)/(4) - (2)/(3) \n \n = (3 * 3)/(4 * 3) - (2 * 4)/(3 * 4) \n \n = (9)/(12) - (8)/(12) \n \n = (9 - 8)/(12) \n \n = (1)/(12) \n$

Can you check to see if tese are right? 1 What is 0.68 written as a simplified fraction? 68/100 17/25 100/68 34/25 2 Mrs. Whimsey’s class is having a pizza party. If there are 16 students and 4 pizzas cut into 8 slices, what answer choice represents the fraction of one pizza each student receives?one-third one-sixteenth one-fourth one-eighth 4. Based upon the 2010 census data, the total population of the U.S. is 308,745,538 people. Approximately, what is this population in scientific notation?
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Answers

1. 0.68 is equal to 68/100 but this can be simplified further to 17/25
2. There are 8 slices and 16 students, the fraction is 8/16 or 1/2
3. (4 x 10^3) x (6 x 10^6) = 2.4 x 10^10
4. 308,745,538 in scientific notation is 3.1 x 10^9
31/5 is 6.2

Shirts-2-Go sells t-shirts for a base price of $12 per shirt plus a fixed fee of $3 shipping and handling for the whole order. Shirts PLUS sells t-shirts for a base price of $8 per shirt plus a fixed fee of $23 shipping and handling for the whole order. Let x represent the number of shirts ordered and let y represent the total cost of the order.y = 12x + 3

y = 8x + 23

How many shirts would you have to purchase for the total cost to be the same at both companies?

Answers

Answer:

5 shirts

Step-by-step explanation:

Y=12x+3 equation 1

y=8x+23 equation 2

12x+3=8x+23 substituting y value will cause equations to equal

4x=20

x=5 shirts

check answer

y=12x+3

y=12(5)+3

y=60+3

y=63

y=8x+23

y=8(5)+23

y=40+23

y=63

Pls help you would be a life saverYou can write the answer as:

1.(first second or third)
2.( first second or third)
3.(first second or third)

Answers

Step-by-step explanation:

1.(first second or third)

4/15 as a decimal and percent?

Answers

.26 repeating so .266666666666666666666666666666666666666666666666

the percent is the same as the decimal so roughly 26.66%.

0.26 repeating
and 26.7 if you round to the nearest tenth or 2.66%

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