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3 years ago

Find a number such that 10 less than two thirds the number is one fourth the number

Mathematics

1 answer:

Ivan3 years ago

3 0

Answer:

the number is 24

Step-by-step explanation:

10 less than two thirds the number is one fourth the number

Let the unknown number be x

two third of the number is $\frac{2}{3} x$

10 less than two third the number becomes

$\frac{2}{3}x-10$

one fourth the number becomes $\frac{1}{4}x$

10 less than two thirds the number is one fourth the number

$\frac{2}{3}x-10=\frac{1}{4}x$

We need to solve for x

LCD is 3*4 = 12

Multiply the whole equation by 12

$\frac{2*12}{3}x-10*12=\frac{1*12}{4}x$

8x - 120 = 3x

add 120 on both sides

8x = 3x + 120

Subtract 3x on both sides

5x = 120

divide by 5 on both sides

x= 24

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James says,

Dima020 [189]

-3^3 = -27

Step-by-step explanation:

Thats because -3^3 is (-3×3×3) not (-3×-3×-3) which we are multiplying a the constant not the the powers

6 0

3 years ago

Read 2 more answers

Pre cal/cal master needed

weqwewe [10]

Take x-2 and insert it into 2x^2 + 3x-2 where the x is located
2x^2 + 3x-2
2(x-2)^2 + 3(x-2)-2

Now work out 2(x-2)^2 + 3(x-2)-2 also follow PEMDAS
2(x-2)^2 + 3(x-2)-2
Since (x-2)^2 is an Exponent, lets work with that first and expand (x-2)^2.
(x-2)^2
(x -2)(x-2)
x^2 -4x + 4
Now Multiply that by 2 because we have that in 2(x-2)^2
(x-2)^2 = x^2 -4x + 4
2(x-2)^2 = 2(x^2 -4x + 4)
2(x^2 -4x + 4) = 2x^2 - 8x + 8
2x^2 - 8x + 8

Now that 2(x-2)^2 is done lets move on to 3(x-2).

Use the distributive property and distribute the 3
3(x-2) = 3x - 6

All that is left is the -2

Now lets put it all together
2(x-2)^2 + 3(x-2)-2

2x^2 - 8x + 8 + 3x - 6 - 2

Now combine all our like terms
2x^2 - 8x + 8 + 3x - 6 - 2
Combine: 2x^2 = 2x^2
Combine: -8x + 3x = -5x
Combine: 8 - 6 - 2 = 0

So all we have left is
2x^2 - 5x

5 0

3 years ago

An expression that uses variables to state a rule is a ______

nikdorinn [45]

<u>Formula</u>

<em>An expression that uses variables to state a rule is a </em><u><em>formula</em></u>

<h2>Explanation:</h2>

An expression that uses variables to state a rule is a formula. It's important to know that formulas uses the equals sign (=) and includes two or more variables. Formulas gives us information that we express symbolically. For example, the well known formula for the volume of a sphere is defined as:

$V=\frac{4}{3} \pi r^3 \\ \\ \\ Where: \\ \\ V:Volume \ of \ the \ sphere \\ \\ r:Radius \ of \ the \ sphere$

So in this formula we have a relationship between the volume of a sphere and its radius, so if we have information about the radius of it we can easily calculate the volume of it.

<h2>Learn more:</h2>

Volume of prism: brainly.com/question/12501166

#LearnWithBrainly

7 0

3 years ago

Read 2 more answers

WILL MARK BRAINIEST! 25 POINTS! What is 2^4/3 equal to? ∛8 ²√8 ∛16 ²√16 Please show work, i need to understand this

Mariana [72]

Answer:

∛16

Step-by-step explanation:

2^4/3