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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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Solve the equation: 3x + 34 when x = 4 Show work!

balandron [24]

3x + 34

x = 4

Substitute x:

3 times 4 = 12

12 + 34 = 46

The answer is 46.

Hope this helped

4 0

3 years ago

Read 2 more answers

8. Charlotte is given the equation 3x - 4y = 12. She needs to create a graph of the equation, but

Zielflug [23.3K]

Answer/Step-by-step explanation:

Note:

Graphing From An Equation:

Equation are frequently written in slope-intercept form { y = mx+b}.

Which "m" represents the slope and "b" represents the y-intercept.

Solutions and Equation:

Solutions to linear equations contain any points located on the graphed line.

Ordered Pair = Solution to an equation if it's values are substituted in the equation which makes it true

Solve:

{x = 0 } 3(0) - 4y = 12

-4y = 12 (0, -3 )

-4y/-4 = 12/-4

y = -3

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

{y = 0} 3x-4(0) =12

3x = 12 (4,0)

3x/3 = 12/3

x = 4

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

~Lenvy~

5 0

2 years ago

Select the two figures that are similar to the 5 by 10 figure that is shown.

Lapatulllka [165]

Answer:

Figure (i) and (iv)

Step-by-step explanation:

Given:

Optional figure is given in attached file.

We need to find two figures that are similar to the 5 by 10 figure.

All the given figure are $m\times n$ form.

Where m represent the number of rows and n represent the number of columns.

Solution:

Observe that in the given figure 5 by 10, the number of rows is 5 and number of columns is 10, that is, the number of columns is double of that the number of rows.

So we need to find two such figures whose number of columns is double of the number of rows.

From the given figures, figure (i) the number of rows is 2 and number of columns is 4, which is double of number of rows. so it is similar to 5 by 10 figure.

Similarly in figure (iv), the number of rows is 4 and number of columns is 8. so the number of columns is double the number of rows, so it is similar to the figure 5 by 10.

Therefore, the two figures that are similar to 5 by 10 figure are given in attached file such as (i) and (iv).