The sum of two numbers is 17 and their differences is 29. What are the two numbers?

Answers

Answer 1
Answer: x + y = 17
x - y = 29

x = 17 - y
x - y = 29

x = 17 - y
17 - y - y = 29

x = 17 - y
17 - 2y = 29

x = 17 - y 
- 2y = 29 - 17

x = 17 - y
-2y = 12

x = 17 - y 
y = -6

x = 17 - (-6)
y = -6

x = 17 + 6
y = -6

x = 23
y = -6
Answer 2
Answer:

Answer:

x + y = 17

x - y = 29

x = 17 - y

x - y = 29

x = 17 - y

17 - y - y = 29

x = 17 - y

17 - 2y = 29

x = 17 - y 

- 2y = 29 - 17

x = 17 - y

-2y = 12

x = 17 - y 

y = -6

x = 17 - (-6)

y = -6

x = 17 + 6

y = -6

x = 23

y = -6

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Step-by-step explanation:


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Answers

You need to know how to calculate the volume of a cylinder and how to calculate the volume of a cone. We know that the two things have the same height and they also have the same area for their base. 

Let's say that the area of the base is x.

The volume of the cylinder = x * 30 (area of the base multiplied with the height)

The volume of the cone = x/3 * 30 (1/3 multiplied with the area of the base and the height)

This means that the cone has one third of the volume of the cylinder's. Therefore if I pour water from a full cone, I can fill the cylinder only to the third of its volume, and in this case, height. So the answer is 10 cm.

Which fraction is greater than 2/3?

A. 1/12
B. 2/6
C. 5/12
D. 6/8

Answers

The answer is D. 6/8
D. 6/8
2/3=.66 and 6/8=.75 and .66<.75
:)

Raquel and Van live in two different cities. As part of a project, they each record the lowest prices for a gallon of gas at gas stations around their cities on the same day. Raquel’s data reflect a mean price of $3.42 with a standard deviation of 0.07. Van’s data reflect a mean price of $3.78 with a standard deviation of 0.23.Which statement is true about their gas-price data?
A- Raquel’s data are most likely closer to $3.42 than Van’s data are to $3.78.
B- Van’s data are most likely closer to $3.42 than Raquel’s data are to $3.78.
C- Raquel’s data are most likely closer to $3.78 than Van’s data are to $3.42.
D- Van’s data are most likely closer to $3.78 than Raquel’s data are to $3.42.

Answers

the standard deviation shows the dispersion (how close) of the data. Therefore the correct statement is A:
A- Raquel’s data are most likely closer to $3.42 than Van’s data are to $3.78.

A is the answer my folks.

How to find an equation of line parallel to a line?

Answers


If two lines are parallel, then they have the same slope.  Take the slope
of the line that you know, and use it for the new line.  If you also need to
find the intercept of the new line, then you need some more information ...
the intercept is not the same as the line that you know.


Final answer:

To find the equation of a line parallel to a given line, identify the slope of the given line and choose any point on that line, then use the point-slope formula to find the equation of the parallel line.

Explanation:

To find the equation of a line parallel to a given line, follow these steps:

  1. Identify the slope of the given line. Let's call it 'm'.
  2. Select any point on the given line. Let's call the coordinates of this point (x₁, y₁).
  3. Use the point-slope formula, y - y₁ = m(x - x₁), where (x, y) represents any point on the parallel line.
  4. Simplify the equation to get the final equation of the line parallel to the given line.

Let me know if you need further assistance!

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Which is the solution of the quadratic equation (4y – 3)2 = 72?y = and y =
y = and y =
y = and y =
y = and y =

Answers

To solve this quadratic equation, take the square root of both sides.
Since the left side is a perfect square, it will just be reduced to:
4y - 3
For the constant on the right side, the positive and negative roots must be considered.
√72 = ±6√2

Equating the two:
4y - 3 =
±6√2
4y = 3
± 6√2
y = (
3 ± 6√2)/4

y =
(3 + 6√2) / 4 = 2.87
and
y = (3 - 6√2) / 4 = -1.37

The solution of the quadratic equation (4y – 3)² = 72 are y = (6√2 + 3)/4 and y = (-6√2 + 3)/4

Solution to quadratic equations

Quadratic equations are equation that has a degree of 2. Given the quadratic equation as shown:
(4y – 3)² = 72

Take the square root of both sides

√(4y – 3)² = ±√72
4y -3 = ±√72
4y - 3 = ±6√2

4y = ±6√2 + 3

y = (6√2 + 3)/4 and y = (-6√2 + 3)/4

Hence the solution of the quadratic equation (4y – 3)² = 72 are y = (6√2 + 3)/4 and y = (-6√2 + 3)/4

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Express each number in standard form
-9.5x10-3
This is 10 to the -3 power

Answers

-9.5*10^(-3)=-9.5*0.001=-0.0095