Find the value of Z in the following equation: 8Z = 64.a. 72
B. 8
C. 512
D. 56

Answers

Answer 1

Answer:

The requried simplified value of z is given as z = 8. Option B is correct.

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,

Given expression,
8z = 64
divide both sides by 8
8z / 8= 64 /8
z = 8

Thus, the requried simplified value of z is given as z = 8. Option B is correct.

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Answer 2

Answer: 8Z = 64

Divide both sides by 8.

8Z/8 = 64/8

Z = 64/8

Z = 8

Your final answer is B. 8.

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What is one-third of 2,700?

Answers

2700* 1/3 = 2700 ÷ 3 = 900

help this helps!

Final answer:

To get one-third of a number, you divide that number by 3. When we divide 2,700 by 3, the result is 900. Therefore, one-third of 2,700 is 900.

Explanation:

To find a fraction of a whole number, we multiply the numerator of the fraction by the provided number and then divide the product by the denominator of the fraction.

To find one-third of a number, you can divide that number by 3.

In this case, to find one-third of 2,700, you simply divide 2,700 by 3.

The result when you divide 2,700 by 3 is 900

Therefore, one-third of 2,700 is 900.

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Find the perpendicular distance from the point (3, -4) to the line 3x- 4y + 10 =0.

Answers

Answer:

3x - 4y = -10

-4y = -3x - 10

y = (3/4)x + (5/2)

The slope of the perpendicular line will be -4/3.

From (3, -4), go up 4 units, then left 3 units. You will be at (0, 0), so the equation of this line is y = (-4/3)x.

(3/4)x + (5/2) = (-4/3)x

9x + 30 = -16x

25x = -30

x = -6/5, so y = (-4/3)(-6/5) = 24/15 = 8/5

d = √((3 - (-6/5))² + (-4 - (8/5))²)

= √((21/5)² + (-28/5)²)

= (1/5)√(21² + (-28)²)

= (1/5)√(441 + 784)

= (1/5)√1,225

= (1/5)(35)

= 7

Given that 6x = 7y, find the ratio x : y.

Answers

7:6

reverse the numbers when given a ratio similar to this one. 6x7=42 and 7x6=42 so x is 6 y is 7

Hope this helps.

the only thing i can think would work is 6*7=7*6

42=42

The schedule of a train that travels regularly between Pune and Delhi is given below. Station Arrive Depart Pune 5:30 a.m. 6:00 a.m. Mumbai 8:15 a.m. 8:30 a.m. Surat 4:30 p.m. 5:10 p.m. Mathura 12:40 a.m. 1:25 a.m. Delhi 4:40 a.m. −− How long will it take Sam to travel from Pune to Delhi on this train? hours minutes

Answers

To determine the travel time, we need to calculate the time difference between the departure from Pune and the arrival in Delhi. According to the schedule:

Pune departure: 6:00 a.m.
Delhi arrival: 4:40 a.m.

To calculate the travel time, we can subtract the departure time from the arrival time. However, since the arrival time is the next day, we need to consider that as well. Let's break it down:

From Pune to Mumbai: 8:30 a.m. - 6:00 a.m. = 2 hours and 30 minutes
From Mumbai to Surat: 5:10 p.m. - 8:30 a.m. = 8 hours and 40 minutes
From Surat to Mathura: 1:25 a.m. - 4:30 p.m. = 11 hours and 55 minutes
From Mathura to Delhi: 4:40 a.m. (next day) - 12:40 a.m. = 4 hours

Now, let's add up the individual travel times:

2 hours 30 minutes + 8 hours 40 minutes + 11 hours 55 minutes + 4 hours = 27 hours 5 minutes

Therefore, it will take Sam approximately 27 hours and 5 minutes to travel from Pune to Delhi on this train. ⏰

For which of the following box-and-whisker plots is the following statement true? 25% of the data falls between 60 and 70.

Answers

Answer:

The answer is B. Just took the quiz. Hope this helps!

Step-by-step explanation:

Zen wants to fill a window box with soil. The length of the window box is 5 feet, width is 6 inches, and height is 9 inches. Each bag of soil contains 0.625 cubic foot of soil. How many bags of soil will Zen need to fill the window box completely?[1 foot = 12 inches]

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