All categories

3 years ago

I need help on finding the LCD

Mathematics

1 answer:

Kipish [7]3 years ago

6 0

The LCD of the denominator is 12. For this one it is possible to just 'see' that 6 is a divisor of 12. When in doubt, you can always get an answer by just multiplying the denominators. (ie., you can turn 11/12 into 66/72 and 1/6 into 12/72).

In this case, the easiest is to convert 1/6 into 2/12. (multiply both numbers by 2).

Then it becomes:

$9\frac{11}{12} - 9 \frac 2{12} = 9 \frac{11-2}{12} - 9 = \frac9{12} = \frac34$

You might be interested in

A carpenter is making a rectangular form for a concrete pad she wants the length of the path to be 11 feet more than the width o

Basile [38]

Answer:

Length = 16 or -5 feet.

Width = 5 or -16 feet.

Step-by-step explanation:

Let the length of the concrete pad = l

Let the width of the concrete pad = w

Given the following data;

Area of concrete pad, a = 80ft²

Translating the word problem into an algebraic equation, we have;

$l = 11 + w$

We know that, the area of rectangle, A = length * width

$A = l*w$

Substituting the values into the equation, we have;

$80 = (11 + w)w$

Expanding the bracket, we have;

$80 = 11w + w^{2}$

$w^{2} + 11w - 80 = 0$

*Solving the quadratic equation by using factorization method*

$w^{2} + 16w - 5w - 80 = 0$

$w(w + 16) - 5(w + 16) = 0$

$(w - 5)(w + 16) = 0$

Width, w = 5 feet or w = -16 feet.

Therefore, the width of the concrete pad is 5 feet or -16 feet.

To find its length, l;

$l = 11 + w$

When w = 5 feet

$l = 11 + 5$

Length, l = 16 feet

When w = - 16 feet

$l = 11 + (-16)$

$l = 11 - 16$

Length, l = -5 feet.

Hence, the dimensions of the concrete pad is 16 by 5 feet or -5 by -16 feet.

6 0

3 years ago

Linear or nonlinear tables?

Oxana [17]

Table 1 and Table 2 are linear tables while table 3 is a non-linear table.

Step-by-step explanation:

Step 1; If y's value is dependent on the value of x, it is a linear relationship i.e. as the value of x varies, y also varies correspondingly. So x is independent while y is dependent on x i.e. the value of y depends on the value of x. We need to determine if there is a linear relationship between the values of x and y in the given tables.

Step 2; In table 1, the values of y are squares of the values of x i.e. 1² = 1, 2² = 4, 3² = 9, 4² = 16, 5² = 25. So the relationship is y = x². So table 1 is a linear table i.e. values which exist in a linear relationship.

Step 3; In table 2, the values of y are obtained by summing two times the value of x and 4.

when x = 1, y = 2(1) + 4 = 6,

when x = 2, y = 2(2) + 4 = 8,

when x = 3, y = 2(3) + 4 = 10,

when x = 4, y = 2(4) + 4 = 12,

when x = 5, y = 2(5) + 4 = 14.

So y = 2x + 4, so table 2 is also a linear table.

Step 4; There is no relationship between the values of y and x. For the negative values of x, y = -x while for positive values of x, y = x, there is no constant relationship between the values of y and x. So table 3 is a non-linear table.

4 0

4 years ago

What is the solution of this system of linear equations? 3y=3/2x+6 1/2y-1/4x=3.

tensa zangetsu [6.8K]

Answer:

No solution

Step-by-step explanation:

Please, separate equations with a comma, or the word "and," or a semicolon.

Next, determine the LCD and multiply both equations by it, so as to elimiinate the fractional coefficients.

3y=3/2x+6 1/2y-1/4x=3

should be written as the system

3y=(3/2)x+6 Use parentheses around the fraction for clarity

(1/2)y-(1/4)x=3 Same: use parentheses

The LCDs here are 2 (for the first equation) and 4 (for the second equation). Multiply the first equation by 2 to eliminate the fractions:

3y=(3/2)x+6 → 6y = 3x + 12, and

4[ (1/2)y-(1/4)x=3 ] → 2y - x = 12

Let's use the substitution method to solve this system. Solve the 2nd equation for x, obtaining x = 2y - 12. Substitute 2y - 12 for x in the 1st equation 6y = 3x + 12:

6y = 3(2y - 12) + 12, or

6y = 6y - 36 + 12

This reduces to 0 = -24, which is never true. Thus,

this system has NO solution.

5 0

3 years ago

A triangular prism has base edges 3 cm, 6 cm, and 7 cm long. Its lateral area is 464 cm^2. What is the height of the prism? Simp

Alexeev081 [22]

Answer:

A triangular prism has base edges 4 cm, 5 cm, and 6 cm long. Its lateral area is

300 cm2.

What is the height of the prism?

5 0

3 years ago

Evaluate: 2 - (-9) + (-18) / 3 x 2 -10

Gre4nikov [31]

Answer:

Step-by-step explanation:

2+9-18/3x2-10

Lets follow order of ops.

/, x, +, -

Divide first.

2 + 9 - (18/3) x 2 - 10

2+9-6x2-10

Now we multiply.

2+9-(6x2)-10

2+9-12-10

Add.

11-22

Now subtract.

11-22=-11

---

hope it helps

5 0

3 years ago