What is x squared minus 25 equals 0

Answer:

Step-by-step explanation:

According to the recipe the ratio of sparkling water to grape juice = 1 1/2 : 3/4.

Let us convert 1 1/2 into improper fraction and that is 3/2.

Now, 3/2: 3/4 or 3/2 ÷ 3/4 = 3/2 × 4/3 = 2/1 or 2:1.

Therefore, sparkling water quantity is two times of the quantity of grape juice.

Now, we need to find the number of quarts of sparkling water need to mix in 9 quarts of grape juice.

Since, sparkling water quantity is two times of the quantity of grape juice.

Therefore, we need 2 × 9 = 18 quarts of sparkling water to mix in 9 quarts of grape juice.

And now we need to find the number of quarts of grape juice would we need to mix with 15/4 quarts of sparkling water.

Therefore, we need 1/2 × 15/4 = 15/8 quarts of grape juice to mix with 15/4 quarts of sparkling water.

Answer:

a), b)

Step-by-step explanation:

a) The amount of sparkling water needed is determined by simple rule of three:

b) The amount of grape juice needed is found by simple rule of three:

The correct answer is:

C) All isosceles triangles are not similar. The pair of congruent angles within one triangle is not necessarily congruent to the pair of congruent angles within the other triangle.

Explanation:

Imagine we have an isosceles triangle in which the base angles are each 45°. This would make the vertex angle 90°.

Now imagine we have an isosceles triangle in which the base angles are each 30°. This would make the vertex angle 120°.

Since the angles of the first triangle are not congruent to the angles in the second triangle, the triangles are not similar.

This shows that not all isosceles triangles are similar.

Answer: c. All isosceles triangles are not similar. The pair of congruent angles within one triangle is not necessarily congruent to the pair of congruent angles within the other triangle.

Step-by-step explanation:

An isosceles triangle is a triangle that has two sides of equal length.

Also, the isosceles theorem says that  "If two sides of a triangle are congruent, then the angles opposite to these sides are congruent.

"

Consider a triangle with equal angles measure as 30°( which means the third angles will be 120°) measure and another triangle with equal angles measure as 60 ° °( which means the third angles will be 60°).

⇒ It contradicts the similarity criteria for triangle which says that in similar triangles all corresponding angles are congruent .

∴ All isosceles triangles are not similar .The pair of congruent angles within one triangle is not necessarily congruent to the pair of congruent angles within the other triangle.

Final answer:

Solving an equation is likened to unwrapping a present because in both cases, you aim to uncover what's within by dealing with the outer layers systematically. Through an inverse process, you isolate the equation's variable and solve for it, just as the step-by-step unwrapping of layers reveals the gift within the package.

Explanation:

Unwrapping a present is a great way to understand the process of solving an equation. If you consider the equation itself as being 'wrapped' in different operations such as multiplication, division, addition, and subtraction, you can begin to 'unwrap' it by systematically dealing with these operations in reverse from the order of operations. This would be like when you unpack the present by undoing the tape, then the paper, then the box, or whatever other layers might be present.

To use a direct example, let's consider the equation 3x + 7 = 22. You start unwrapping by isolating for the term with the variable. This means you handle the operation that does not involve the variable first. So, subtract 7 from both sides of the equation to get 3x = 15. Next, you handle the multiplication operation by dividing both sides by 3 and solving for x, which would be 5 in this case. Just like unwrapping a present, we aim to get to the 'inside' or the root of the equation.

Learn more about Solving Equations here:

brainly.com/question/17595716

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Answer:

Step-by-step explanation:

In scientific notation, we represent numbers as a product of a decimal number between 1 and 10, multiplied by a power of 10. This allows us to express very large or very small numbers in a compact and standardized format.

To express 5,806 in scientific notation, we need to move the decimal point to the left so that the number becomes a value between 1 and 10. The number of places we move the decimal point determines the power of 10.

Here's how we can do it step by step:

1. Start with the given number, 5,806.

2. Move the decimal point to the left until the number becomes a value between 1 and 10. In this case, we need to move the decimal point three places to the left.

- 5,806.0 -> 580.60 -> 58.06 -> 5.806

3. Count the number of places you moved the decimal point. In this case, we moved it three places to the left.

4. Write the number as a product of the decimal number and 10 raised to the power of the number of places you moved the decimal point.

- 5.806 x 10^3

Therefore, 5,806 in scientific notation is 5.806 x 10^3.

Remember, scientific notation is a useful way to represent large or small numbers and make them easier to work with in calculations and comparisons.

sorry i got it wrong i just learned this so i dont know i though AI was right