what is the fraction of 4 weeks is 5 days

what is the fraction of 4 weeks is 5 days

To find the fraction of 4 weeks that is equal to 5 days, we first need to convert both the weeks and the days to a common unit of time.

There are 7 days in a week, so 4 weeks is equal to 4 x 7 = 28 days.

Now, we can write the fraction:

5 days / 28 days

This fraction cannot be simplified further since 5 and 28 do not have any common factors.

Therefore, the fraction of 4 weeks that is equal to 5 days is 5/28.

Factories 6a+hm+6h+am

I'm sorry, but it seems like the expression you provided is incomplete or contains variables without any context. Can you please provide more information or clarify your statement?

Factories 6a + hm + 6h + am

The expression you provided is:

6a + hm + 6h + am

This is a combination of several terms with variables. It cannot be simplified further unless the values of the variables or any specific relationships between them are given.

Factories 6a+hm+6h+am

The expression you provided is:

6a + hm + 6h + am

This expression has four terms: 6a, hm, 6h, and am. It cannot be simplified further without more information or specific values for the variables a, h, and m.

6a+hm+6h+am

The expression you provided is:

6a + hm + 6h + am

This expression has four terms: 6a, hm, 6h, and am. It cannot be simplified further without more information or specific values for the variables a, h, and m.

Expand 6a+hm+6h+am

To expand the expression 6a+hm+6h+am, we can use the distributive property to combine like terms:

= 6a + hm + 6h + am
= (6a + am) + (hm + 6h)
= a(6 + m) + h(m + 6)

So, the expanded form of the expression 6a+hm+6h+am is a(6 + m) + h(m + 6).

Solve the inequality 2-x> 14-3x

To solve the inequality 2 - x > 14 - 3x, we can proceed as follows:

First, let's simplify both sides of the inequality:

2 - x > 14 - 3x

Now, let's collect the x terms on one side of the inequality:

2 + 3x - x > 14 - x - 3x

Simplifying further:

2 + 2x > 14 - 2x

Next, let's isolate the x terms by adding 2x to both sides:

2 + 2x + 2x > 14 - 2x + 2x

Simplifying further:

2 + 4x > 14

Now, let's isolate the constant terms by subtracting 2 from both sides:

2 + 4x - 2 > 14 - 2

Simplifying further:

4x > 12

Finally, let's isolate x by dividing both sides by 4:

4x/4 > 12/4

Simplifying further:

x > 3

So the solution to the inequality 2 - x > 14 - 3x is x > 3.

What is the area of a rhombus whose diagonals are 12 cm and 8 cm respectively

To find the area of a rhombus, you can use the formula:

Area = (diagonal1 * diagonal2) / 2

In this case, the diagonals are 12 cm and 8 cm respectively. Plugging these values into the formula, we get:

Area = (12 cm * 8 cm) / 2
= 96 cm² / 2
= 48 cm²

Therefore, the area of the rhombus is 48 square centimeters.

Find the amount if simple interest is paid on 443200.00 naira for 5 years at 3.5% per annum

To calculate the simple interest, we can use the formula:

Simple Interest = Principal * Rate * Time

Given that the principal (P) is ₦443200.00, the rate (R) is 3.5% (or 0.035), and the time (T) is 5 years, we can substitute these values into the formula:

Simple Interest = ₦443200.00 * 0.035 * 5

Calculating this expression, we find:

Simple Interest = ₦77,560.00

Therefore, the amount of simple interest paid on ₦443200.00 for 5 years at 3.5% per annum is ₦77,560.00.

Evaluate cos 30 degrees+ sin 60 degrees leaving your answer in sure form

To evaluate cos 30 degrees + sin 60 degrees, we can use the values of cosine and sine for these angles:

cos 30 degrees = √3/2
sin 60 degrees = √3/2

Therefore, cos 30 degrees + sin 60 degrees = (√3/2) + (√3/2)

Simplifying further, we have:

cos 30 degrees + sin 60 degrees = (√3 + √3) / 2

Combining like terms, we get:

cos 30 degrees + sin 60 degrees = (2√3) / 2

Dividing both the numerator and denominator by 2, we get:

cos 30 degrees + sin 60 degrees = √3

Therefore, the value of cos 30 degrees + sin 60 degrees, in simplified form, is √3.

Calculate the interior angle of a regular octagon

To calculate the interior angle of a regular octagon, we can use the formula:

Interior Angle = (180 * (n - 2)) / n

Where n represents the number of sides in the regular polygon.

For an octagon (n = 8), substituting the values into the formula, we get:

Interior Angle = (180 * (8 - 2)) / 8
= (180 * 6) / 8
= 135 degrees

Therefore, the interior angle of a regular octagon is 135 degrees.

Find the quadratic equation whose roots are a and -b

To find a quadratic equation with roots a and -b, we can use the fact that the product of the roots of a quadratic equation is equal to the constant term divided by the leading coefficient.

In this case, the roots are a and -b. Therefore, the product of the roots is:

a * (-b) = -ab

To find the quadratic equation, we write it in the form:

x^2 + bx + c = 0

Where b represents the coefficient of x and c represents the constant term.

Since the product of the roots is -ab, we know that c is equal to -ab.

Hence, the quadratic equation with roots a and -b is:

x^2 + (a - b)x - ab = 0

3y^2-5y+2=0

To solve the quadratic equation 3y^2 - 5y + 2 = 0, we can factor it or use the quadratic formula.

Method 1: Factoring

We need to find two numbers whose product is equal to (3 * 2) = 6 and whose sum is equal to (-5).

The numbers that fit these criteria are -3 and -2.

Using these numbers, we can factor the equation as follows:

(3y - 2)(y - 1) = 0

Setting each factor equal to zero, we have:

3y - 2 = 0 --> y = 2/3
y - 1 = 0 --> y = 1

So the solutions to the equation are y = 2/3 and y = 1.

Method 2: Quadratic formula

The quadratic formula states that for an equation in the form ax^2 + bx + c = 0, the solutions are given by:

x = (-b ± √(b^2 - 4ac)) / (2a)

In our case, a = 3, b = -5, and c = 2.

Using these values in the quadratic formula:

y = (-(-5) ± √((-5)^2 - 4 * 3 * 2)) / (2 * 3)
y = (5 ± √(25 - 24)) / 6
y = (5 ± √1) / 6
y = (5 ± 1) / 6

So the solutions are y = 6/6 = 1 and y = 4/6 = 2/3.

Therefore, the solutions to the equation 3y^2 - 5y + 2 = 0 are y = 2/3 and y = 1.