What is the LCD of 4 7/9 and 2 2/3?

Answers

Answer 1

Answer: 43/9 and 24/9
Working
First rewrite the mixed numbers into improper fraction.
This gives:
43/9 and 8/3

Then find the lcm of the denominators of the fraction i.e 9 and 3
Express the fractions as x/lcm
This gives 43/9 and 24/9

Answer 2

Answer:

Answer:

9

Step-by-step explanation:

4 7/9 = 43/9

2 2/3 = 24/9

For the denominators (9, 3) the least common multiple (LCM) is 9.

Therefore, the least common denominator (LCD) is 9.

4 7/9 = 43/9 × 1/1 = 43/9

2 2/3 = 8/3 × 3/3 = 24/9

Hope this helps :)

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Answers

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Find the value of u - 7 given that 13u -9 = 4

Answers

Answer:

u-7 = ?

13u-9=4

13u=13

u=1

1-7=-6

answer is -6

Step-by-step explanation:

Final answer:

To find the value of u - 7, we first solve the equation 13u - 9 = 4 for u. After finding the value of u, we substitute it into the expression u - 7 to get the final answer.

Explanation:

To find the value of u - 7, we first need to solve the equation 13u - 9 = 4 for u. First, we can add 9 to both sides of the equation to isolate 13u. This gives us 13u = 13. Then, we can divide both sides of the equation by 13 to find the value of u. Therefore, u = 1. Finally, we can substitute this value of u into the expression u - 7 to find the final answer. We have 1 - 7 = -6. Therefore, the value of u - 7 is -6.

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What is the area of a sector with a central angle 210 and a diameter of 4.6

Answers

The area of the sector with a central angle of 210° and a diameter of 4.6units is 2.6π square units.

What is Area?

Area is a collection of two - dimensional points enclosed by a single dimensional line. Mathematically, we can write -

V = ∫∫F(x, y) dx dy

Given is a sector with a central angle of 210° and a diameter of 4.6 units.

The area of a sector can be calculated using the formula -

A{Sector} = θ/360° x 2πr

For the sector given, we have -

θ = 210°

r = 4.6 units

Substituting the values, we get the area of the sector as -

A{Sector} = 210°/360° x 2πr

A{Sector} = 7/12 x 2πr

A{Sector} = 7πr/6

A{Sector} = 7πd/12

A{Sector} = 7π x 4.6/12

A{Sector} = 7π x 0.38

A{Sector} = 2.6π square units

Therefore, the area of the sector with a central angle of 210° and a diameter of 4.6units is 2.6π square units.

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theta = 210°
r = 4.6/2 = 2.3
Area of circle = pi * r * r
= 3.14 * 2.3 * 2.3 = 16.61
Area of sector =
(theta / 360) * area of circle
= (210/360) * 16.61
= 9.69

The solid surface area is equal to the solid volume. Find the value of x? The measurements of the rectangular prism is 9 inches long and 4 inches wide. Height is not listed. socratic.org

Answers

Answer:

$x=7.2$

Step-by-step explanation:

Let x represent height of the prism.

We know that volume of rectangular is equal to product of its height, width and length.

$\text{Surface area of rectangular prism}=2(wl+lh+hw)$ , where w, h and l represents width, length and height respectively.

We have been given that the surface area of rectangular prism is equal to the volume of the prism. So we can set an equation as:

$lwh=2(wl+lh+hw)$

We are also told that the measurements of the rectangular prism is 9 inches long and 4 inches wide. Upon substituting these values in above equation, we will get:

$9\cdot 4\cdot x=2(4\cdot 9+9\cdot x+x\cdot 4)$

Let us solve for x.

$36x=2(36+9x+4x)$

$36x=2(36+13x)$

$36x=72+26x$

$36x-26x=72+26x-26x$

$10x=72$

$x=(72)/(10)\n\nx=7.2$

Therefore, the value of x is 7.2 inches.

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