what is the distance between (-6,4) and (-8,6)

To solve this, set up a simple equation where X equals the amount of money Jennifer has. Alex has twice as much, and Shannon has $6 more than Jennifer. Solving the equation shows Jennifer has $12, Alex has $24, and Shannon has $18.

Let's define the amounts of money each person has. If Jennifer has X dollars, then Alex has twice as much, which means Alex has 2X dollars. Jennifer has $6 less than Shannon, meaning Shannon has X + $6. If you sum up all their money, it equals $54. So 2X (what Alex has) + X (what Jennifer has) + X + $6 (what Shannon has) equals $54.

This can be simplified to 4X + $6 = $54. When you subtract $6 from each side, you get 4X = $48. Next, you divide each side by 4 to solve for X, which leads to X = $12.

Jennifer has $12, Alex has 2*$12 = $24, and Shannon has $12 + $6 = $18.

https://brainly.com/question/18322830

#SPJ2

Answer:

8.95

Step-by-step explanation:

Because 1.79x5=8.95 You can look it up too

:)

22 ½ % is equivalent to 9/40 as a fraction.

To express 22 ½ percent as a fraction, we need to convert the percentage to its decimal form and then simplify.

22 ½ % is equivalent to 0.225 in decimal form (since 22.5% = 22.5/100 =0.225).

Now, to convert the decimal to a fraction, we can write it as 225/1000. To simplify, we can divide both the numerator and denominator by 25:

[tex]\frac{225}{1000}=\frac{9 \times 25}{40 \times 25}=\frac{9}{40}[/tex]

The required answer is 9/40.

The radius of a circle in Euclidean geometry is the distance from its center to any point on the circumference, and it can be calculated by dividing the circumference by 2π. In physics, the radius is also the radius of curvature for an object's circular path, determined by position data and the Pythagorean theorem.

In mathematics, especially in Euclidean geometry, the radius of a circle is a fundamental concept that refers to the distance from the center of the circle to any point on its circumference.

Referring to the examples provided, one method to find the radius (r) is by understanding the relationship between the circumference of a circle (C) and its radius. In a flat, Euclidean space, the ratio C/r is a constant 2π, where π (pi) is approximately 3.14159. Therefore, if you know the circumference, you can calculate the radius by rearranging the formula to r = C/(2π).

In one of our more practical examples, the radius of curvature is used in the context of circular motion. When dealing with the path of an object in a circular trajectory, the radius of the circle also represents the radius of curvature. For instance, using position data where x = 3 m and y = 4 m, we can use the Pythagorean theorem to find the radius, r = √(3² + 4²) = 5 m.

Understanding these principles is crucial in fields such as physics, where the radius is directly related to calculating velocities and accelerations in circular motions as seen with centripetal acceleration.

The value of the segment 'x' is 9° as ∠ABC is a right angle.

When the value of an angle is 90°, then it is called right angle.

Here, AB is perpendicular to CD.

Therefore, ∠ABC = 90°.

Again,  ∠ABC = (7x + 27)° = 90°.

Therefore, 7x + 27 = 90

⇒ 7x = 63

⇒x = 9

Learn more about a right angle here: https://brainly.com/question/17201660

#SPJ2

This should help

Let's say Set A = {1,2,3}, Set A can have subsets of:

{1}, {2}, {3}, {1,2}, {1,3}, {2,3}

And so there is 6 subsets.

The value of p is [tex]\frac{67}{8}[/tex], which is approximately 8.375. Therefore, the correct option is D. 8

To solve for  p  in the equation 10p + 5 = 18p - 62, we first need to isolate p on one side of the equation.

First, we'll subtract 10p from both sides to move the variable terms to one side:

10p + 5 - 10p = 18p - 62 - 10p

This simplifies to:

5 = 8p - 62

Next, we'll add 62 to both sides to isolate the term with p on one side:

5 + 62 = 8p - 62 + 62

This simplifies to:

67 = 8p

Finally, we divide both sides by 8 to solve for p:

[tex]\frac{67}{8} = p[/tex]

In conclusion, the value of p is 8.

Answer:1/4+4(1/2−3/4)^2

Step-by-step explanation Its supposed to be a fraction but when you copy and paste it won't allow it to be fraction. Answer is 1/2

Answer: Hello there!

if 62 is the 112% of some number, this means that if the number is x; then the 100% of this number is x, and the 112% of this number is x + 0.12*x = 1.12*x

then this means that 62 = 1.12x

now we want to find the number x:

62 = 1.12x

x= 62/1.12 = 55.35714

now we need to round it to the nearest hundredth:

the hundredth place is the second number after the decimal point, in this case, is a 5, and we want to round it; if the next number is 5 or bigger, we round up, if it is less than 5, we round down.

We can see that the next number is a 7, so we should round up; then our number x is: 55.36

The pattern 1,3,5,7... represents odd numbers, as each number cannot be evenly divided by 2.

The correct option is (A).

The pattern 1,3,5,7... represents odd numbers. These numbers are considered odd because they cannot be evenly divided by 2. Every number in the sequence is one greater than an even number, which means adding 1 to an even number gives you an odd number. For instance, the number 1 is odd because 0 (an even number) plus 1 equals 1. Similarly, 2 (which is even) plus 1 equals 3, and so on. This pattern of numbers is used to represent all numbers that, when divided by 2, have a remainder of 1.

complete question given below:

The pattern 1,3,5,7... represents numbers.

A.odd

B.even

C.whole

yes they are the same.

 A line does not change when translated

Yes, the lines are same.

Here,

The right line is a translation of the left line 4 units to the right and Drag the left line and try to move it on top of the right line.

What is translation?

A translation is a type of transformation that takes each point in a figure and slides it the same distance in the same direction.

Clearly,

Line is not change when it translate.

So, the line are the same even though the right line is translation of the left line 4 units to the right. The function moves the line a certain distance. The line is not altered in any way so thus the lines are the same.

Hence, the lines are same.

Learn more about the translation visit:

https://brainly.in/question/16034934

#SPJ2

Answer:

The answer is 17.

Step-by-step explanation:

Let the number plotted be x.

The point plotted on number line is slightly more than 4.

And this number is the square root of x.

We know that [tex]\sqrt{16}[/tex] is 4.

And the given point is close to 4 or square root of 16.

So, the best possible and closest answer is 17.

The square root of 17 is 4.123.

Therefore, the answer is 17.

Answer:

[tex]c=11.49[/tex]

Step-by-step explanation:

It is given that  a = 5, b = 12, and c = 72°, then using the cosine formula, we get

[tex]c^2=a^2+b^2-2abcosC[/tex]

[tex]c^2=(5)^2+(12)^2-2(5)(12)Cos72^{\circ}[/tex]

[tex]c^2=25+144-2(60)(0.309)[/tex]

[tex]c^2=169-37.08[/tex]

[tex]c^2=131.92[/tex]

[tex]c=\sqrt{131.92}[/tex]

[tex]c=11.49[/tex]

Therefore, the value of the length of the side c is 11.49.