Find the highest common factor of 10 and 15

The correct expression is:

[tex]\[ \text{C) } 3.75n + 5.4 \][/tex]

To find the product of 3 and [tex]\( \left(\frac{5}{4}n + 1.8\right) \)[/tex] , we multiply 3 by each term inside the parentheses:

[tex]\[ 3 \times \frac{5}{4}n = \frac{15}{4}n \][/tex]

[tex]\[ 3 \times 1.8 = 5.4 \][/tex]

Now, combine the two results:

[tex]\[ \frac{15}{4}n + 5.4 \][/tex]

To express this in a more common form, we can rewrite [tex]\( \frac{15}{4} \)[/tex] as 3.75:

[tex]\[ 3.75n + 5.4 \][/tex]

So, the correct expression is:

[tex]\[ \text{C) } 3.75n + 5.4 \][/tex]

Complete correct question:

Which expression represents the product of 3 and (5/4n + 1.8)?

A) 5.55n

B) 9.15n

C) 3.75n + 1.8

D) 3.75n + 5.4.

Answer:

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Step-by-step explanation:

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x(number of club members) is equal(=) or larger(>) to 25

im not sure its right though

Answer:

11 > n > 4

Step-by-step explanation:

Given any two sides of a triangle, we now that the sum of such sides MUST be greater than the measure of the remaining side. This is, given the three sides a, b and c, it must be that:

a + b > c

a + c > b

b + c > a

For our case:

7 + 4 > n (1) ---> 11>n

7 + n > 4 (2)

4 + n > 7 (3)

The 1 inequality says that the n side MUST be less than 11.

Now, pick the (3) inequality and subtract 4 in both sides:

4 + n  -4 > 7 - 4

n > 3

So, the n side must be grater than 3.

Thus, the solution is:

11 > n > 3

As we are working with integers we now that the grater integer larger than 3 is 4, and the greater integer less than 11 is 10. So, the side must be equal or greater to 4 and equal or less than 10:

10 >= n >= 4

Answer:  

The required factorized form of the given quadratic equation is :

4x·(2x + 3)

Step-by-step explanation:

The quadratic equation is given to be :

8x² + 12x

Now, we need to find the factored  for of the given quadratic equation.

⇒ 8x² + 12x

Taking 4 common from both the terms

⇒ 4(2x² +3x)

Now, Taking x common from both the terms which are inside the bracket

⇒ 4x·(2x + 3)

⇒ Now, This equation cannot be factorized further

Hence, The required factorized form of the given quadratic equation is :

4x·(2x + 3)

Answer:

The number line that best represents this statement is:

                       Option: A

Step-by-step explanation:

We are given a statement that:

More than 20 students participated in a drawing competition.

This means that when this statement is represented on the number line the region that is covered is:

(20,∞)

Since the more than 20 students means that 20 is not included and all the numbers greater than 20 are included.

Also, on the number line the shaded region lie to the right of 20 and there is a open circle at 20 as 20 is not included in the domain.

Hence, option: A is the correct answer.

The car can travel 317.15 km in 5 hours given its speed remains constant at 63.43 km/h which is calculated based on the 444 km it travels in 7 hours.

To solve this problem, we need to calculate the rate of speed of the car first. The speed of the car is found by dividing the total distance by the time.
So, the speed will be 444 km / 7 hours = 63.43 km/h.

With this constant speed, we can determine how far the car could travel in 5 hours by multiplying the speed by the time:
Thus, the distance it can travel in 5 hours is 63.43 km/h * 5 h = 317.15 km.

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The equation that represents 4 1/4 as a sum of whole numbers and unit fractions is simply 4 + 1/4. This approach demonstrates the decomposition of a mixed number into its integral and fractional components.

To represent 4 1/4 as a sum of whole numbers and unit fractions, we can break it down into its components. This fraction essentially means 4 plus 1/4. The whole number part is straightforward, and the fraction part can be represented as a unit fraction. Thus, 4 1/4 can be expressed as the sum 4 + 1/4.

In mathematics, when decomposing mixed numbers into a sum of whole numbers and fractions, it’s essential to clearly distinguish between the integral and fractional parts. For example, similar numbers like 5 1/3 would decompose into 5 + 1/3. This helps illustrate how mixed numbers can be broken into more straightforward components, making them easier to work with in various mathematical operations and providing a bridge to understanding fractional expressions and addition.

Answer:

  4 1/4 = 1 + 3 + 1/6 + 1/12

Step-by-step explanation:

You want an equation that represents 4 1/4 as the sum of whole numbers and unit fractions.

The whole number portion of 4 1/4 is 4. The number 4 can be represented as a sum of whole numbers (plural) several ways:

  4 = 0 + 4
  4 = 1 + 3
  4 = 2 + 2

  4 = 0 + 1 + 3
  4 = 1 + 1 + 2

  4 = 1 + 1 + 1 + 1

Of course, any quantity of the whole number 0 can be added to any of these sums. We have shown a couple of instances of that.

In our answer here, we choose the representation to be 4 = 1 +3.

A unit fraction is a fraction with a numerator of 1. In the mixed number 4 1/4, the fraction portion, 1/4, is already a unit fraction. The problem statement here asks for a representation involving "unit fractions" (plural). We can divide 1/4 into any number of equal unit fractions:

  1/4 = 1/8 + 1/8 . . . . 2 equal unit fractions

  1/4 = 1/12 + 1/12 + 1/12 . . . . 3 equal unit fractions

This latter representation suggests a way to use unequal unit fractions to represent 1/4:

  1/4 = (1/12 + 1/12) +1/12 = 2/12 +1/12 = 1/6 +1/12

Using these two unit fractions, our equation can be written ...

  4 1/4 = 1 + 3 + 1/6 + 1/12

Answer:

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Step-by-step explanation: