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salantis [7]
2 years ago
12

Solve this equation: 2/3(h)-156=3(13/24)

Mathematics
2 answers:
scoundrel [369]2 years ago
7 0

Answer:

The value of the provide equation is h=\frac{3783}{16}.

Step-by-step explanation:

Consider the provided equation.

\frac{2}{3}(h)-156=3(\frac{13}{24})

We need to solve the equation.

The above equation can be written as:

\frac{2}{3}(h)-156=\frac{13}{8}

Add 156 to both the sides

\frac{2}{3}(h)=\frac{13}{8}+156

\frac{2}{3}(h)=\frac{13+1248}{8}

\frac{2}{3}(h)=\frac{1261}{8}

Multiply both the sides by 3/2.

h=\frac{3783}{16}

Hence, the value of the provide equation is h=\frac{3783}{16}.

antoniya [11.8K]2 years ago
4 0

1) 2/3h -156 = 3(13/24)⇒2/3h-156 = 39/24


2/3 h = 39/24+156

2/3h = 39+3744/24

the m.c.m is 24  , then you must divide the denominator by 24 and multiply the result for numerator to obtain a lineal equation, it is in both terms of the equation

8*(2)h =39+3744

16h = 3783

h =3783/16

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Equation<br><img src="https://tex.z-dn.net/?f=%28z%20%2B%20%20%5Cfrac%7B6%7D%7B7%7D%20%29%20%2B%20%20%5Cfrac%7B2%7D%7B14%7D%20%2
ddd [48]

Given:

The equation is

\left(z+\dfrac{6}{7}\right)+\dfrac{2}{14}=-1

To find:

The solution of the given equation.

Solution:

We have,

\left(z+\dfrac{6}{7}\right)+\dfrac{2}{14}=-1

It can be written as

\left(z+\dfrac{6}{7}\right)+\dfrac{1}{7}=-1

\left(z+\dfrac{6}{7}\right)=-1-\dfrac{1}{7}

Multiply both sides by 7.

7z+6=-7-1

7z+6=-8

7z=-8-6

7z=-14

Divide both sides by 7.

z=\dfrac{-14}{7}

z=-2

Therefore, the value of z is -2.

5 0
2 years ago
Can help me find area and perimeter step by step
Vera_Pavlovna [14]

Answer:

  • area: 16.28 ft²
  • perimeter: 17.05 ft

Step-by-step explanation:

The figure is shown as being composed of a semicircle and a triangle. You know the formula for the area of a circle is ...

  A = πr²

The radius of the semicircle is half its diameter, so is (4 ft)/2 = 2 ft. Then the area of a circle with radius 2 feet is ...

  A = π(2 ft)² = 4π ft²

Our semicircle has half that area, so ...

  area of semicircle = (4π ft²)/2 = 2π ft² ≈ 6.283 ft²

__

The area of the triangle is given by the formula ...

  A = (1/2)bh

Here, the base is shown as 4 ft, and the height is shown as 5 ft. Then the triangle area is ...

  triangle area = (1/2)(4 ft)(5 ft) = 10 ft²

So, the total area of the composite figure is ...

  figure area = area of semicircle + triangle area

  = 6.283 ft² + 10 ft² ≈ 16.283 ft² . . . . area of the figure

__

The perimeter of the curved portion of the semicircle is half the circumference of a circle of radius 2 ft. It will be ...

  curved perimeter = (1/2)(2πr) = πr = π(2 ft) = 2π ft ≈ 6.283 ft

The length of each side of the triangle can be found from the Pythagorean theorem. Each side of the triangle is the hypotenuse of a right triangle with legs 2 ft and 5 ft. Then it will be ...

   triangle side length = √(2² +5²) ft = √29 ft ≈ 5.385 ft

The total perimeter is ...

   perimeter = 2 × triangle side length + semicircle length

  = 2×(5.385 ft) + 6.283 ft = 17.054 ft

The perimeter of the figure is about 17.05 feet.

4 0
3 years ago
The phrase the difference between a number and four can be written as which variable expression
Gekata [30.6K]
Try -×=4??? i just started to learn how to do variable expressions correctly bc i just transfered to an high accelerating school, but if I'm wrong w the answer im very sorry, as i am just now learning.
5 0
3 years ago
9 is the difference between two numbers, and their sum is 31. Find the numbers.
algol [13]

Answer:

The first number is 20, the second one is 11

Step-by-step explanation:

Let the first number be x and the second number be y

Since it says "9 is the difference between two numbers", the first equation will be x-y=9

It also says that "their sum is 31". That means the second equation will be x+y=31

here are the two equations:

x-y=9

x+y=31

You can solve this any way you like, but I'll show elimination

add the two equations

x-y=9

x+y=31

2x=40

divide by 2

x=20

Substitute 20 as x in one of the equations

20+y=31

subtract 20 from both sides

y=11

That means the two numbers are 20 and 11

Hope this helps!

4 0
2 years ago
I need help please!!!
frutty [35]
The correct answer is B: f=4.5n
5 0
2 years ago
Read 2 more answers
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