14/40 in simplest form

The given problem is an algebraic equation where the daughter's age is denoted as 'x' and the father's age as '10x'. An equation is formulated to solve for 'x' based on future ages. The solution to the problem is that the daughter is 5 years old, and the father is 50 years old.

The problem asked is a classic example of algebra problem solving. We are told that a father is 'ten times as old as his daughter', and in five years, 'he will be just five times as old as she will be'. Let's denote the daughter's current age as 'x'. Therefore, the father's current age will be '10x'.

In five years, the daughter will be 'x+5' and the father will be '10x+5'. At this future moment, the father is 'five times as old as the daughter', so we can create the equation: 10x + 5 = 5(x + 5). Solving this equation leads to 'x=5'. So, the daughter is 5 years old and the father is 50 years old.

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A rational number is a number which is in the form [tex]\frac{p}{q} ,q \neq 0[/tex]

Now, the value of the number [tex]\sqrt 3 = 1.73[/tex]

Now let us evaluate each given rational number in decimal form.

[tex]\frac{14}{9} = 1.6\\ \\ \frac{15}{13} = 1.2\\ \\ \frac{17}{10} = 1.7\\ \\ \frac{6}{5} = 1.2[/tex]

Therefore, among these numbers, the best approximation is option c i.e. 17/10.

C is the correct option.

Answer:

C) [tex]\frac{17}{10}[/tex]

Step-by-step explanation:

[tex]1,732050808 ≈ \sqrt{3} \\ \\ 1,73 ≈ \sqrt{3}[/tex]

Therefore answer choice C) would be the best approximate answer to this:

* [tex]1\frac{7}{10} = 1,7[/tex]

I am joyous to assist you anytime.

To find the probability that both marbles drawn by Joseph are black, you need to consider the number of ways he can draw 2 black marbles out of the 4 black marbles in the bag, divided by the total number of ways he can draw 2 marbles from the 10 marbles in the bag without replacement. The probability is 2/15.

To find the probability that both marbles drawn by Joseph are black, we need to consider the number of ways he can draw 2 black marbles out of the 4 black marbles in the bag, divided by the total number of ways he can draw 2 marbles from the 10 marbles in the bag without replacement.

Let's calculate:

Therefore, the probability that both marbles are black is 6/45, which simplifies to 2/15.

We have been given that the probability of Jaden making a free throw is 15%.

Now, we have to predict the number of free throws that he can expect to make if he attempts 40 free throws.

In order to find the total number of free throws, we will find 15% of 40.

Therefore, the number of free throws should be

[tex]15\%  \text{ of  }40\\ \\ =\frac{15\times 40}{100} \\ \\ =\frac{600}{100} \\ \\ =6[/tex]

Therefore, the number of free throws that he can expect to make if he attempts 40 free throws is 6.

The helicopter has flown a distance of 500 feet as calculated using the Euclidean distance formula for two points on a grid.

To find the distance the helicopter has flown, we need to calculate the Euclidean distance between the two points (2,6) and (6,9) on the grid map. We can use the formula: Distance = √[(x₂ - x₁)² + (y₂ - y₁)²], where (x₁, y₁) and (x₂, y₂) are the coordinates of the two points. Substituting the given points into the formula, we have:

Distance = √[(6 - 2)² + (9 - 6)²] = √[(4)² + (3)²] = √[16 + 9] = √25 = 5 grid lines.

Given that each grid line is equivalent to 100 feet, the helicopter has traveled 5 grid lines * 100 feet/grid line = 500 feet.

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That’s what it looks like. Im not sure how to solve it either though.

Answer:

The coordinates of A is  [tex](-x_1,-y_1)[/tex].

Step-by-step explanation:

We are given that a triangle ABC is rotated 180 degrees about the origin .

We have to find the coordinates of A.

Let vertices of triangle ABC [tex]A(x_1,y_1),B(x_2,y_2) ,C(x_3,y_3)[/tex]

When we rotate the about 180 degrees then the coordinates changes like as

[tex](x,y)\rightarrow (-x,-y)[/tex]

When we rotate triangle ABC about 180 degrees then its vertices Ais ([tex]x_1,y_1)[/tex] change into [tex](-x_1,-y_1)[/tex]

Hence, the coordinates of A is  [tex](-x_1,-y_1)[/tex].

Final answer:

After rotating triangle ABC 180 degrees about the origin, the coordinates of point A, initially at the origin (0, 0), remain unchanged at (0, 0).

Explanation:

If triangle ABC is rotated 180 degrees about the origin, the coordinates of point A after the rotation can be determined by applying the rules of rotation in the Cartesian coordinate system. Since point A is at the origin, its initial coordinates are (0,0). A rotation of 180 degrees about the origin will essentially reflect a point over both the x-axis and y-axis, but the location of point A will remain unchanged because it is located at the center of rotation. Therefore, the rotated coordinates of point A will still be (0, 0).

If one angle measures 32 degrees, the measure of the second angle can be found by subtracting 32 from 90. Therefore, the second angle is 58 degrees.

Complementary angles are two angles whose sum is 90 degrees. So, if one angle measures 32 degrees, we can find the measure of the second angle by subtracting 32 from 90:

Second angle = 90 - 32

Second angle = 58 degrees

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Answer:

B. Stress

Step-by-step explanation:

Did the usa prept test :)