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3 years ago

Show your work PLEASE!

Mathematics

2 answers:

svet-max [94.6K]3 years ago

8 0

Hey there! :)

Answer:

x = 12.

Step-by-step explanation:

Given:

$\frac{3}{5} = \frac{x}{20}$

Cross multiply to solve for x:

3 · 20 = 5 · x

60 = 5x

Divide by 5:

12 = x.

Leto [7]3 years ago

7 0

Answer:

so x=12

Step-by-step explanation:

$\frac{3}{5}=\frac{x}{20}\\ by cross multiplication$

3×20=5×x

60=5x

dividing 5 on both sides

60/5=5x/5

x=12

i hope this will help you :)

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Find the product of all real values of r for which 1/2x=r-x/7

Dahasolnce [82]

Answer:

$r = \±\sqrt{14$

$Product = -14$

Step-by-step explanation:

Given

$\frac{1}{2x} = \frac{r - x}{7}$

Required

Find all product of real values that satisfy the equation

$\frac{1}{2x} = \frac{r - x}{7}$

Cross multiply:

$2x(r - x) = 7 * 1$

$2xr - 2x^2 = 7$

Subtract 7 from both sides

$2xr - 2x^2 -7= 7 -7$

$2xr - 2x^2 -7= 0$

Reorder

$- 2x^2+ 2xr -7= 0$

Multiply through by -1

$2x^2 - 2xr +7= 0$

The above represents a quadratic equation and as such could take either of the following conditions.

(1) No real roots:

This possibility does not apply in this case as such, would not be considered.

(2) One real root

This is true if

$b^2 - 4ac = 0$

For a quadratic equation

$ax^2 + bx + c = 0$

By comparison with $2x^2 - 2xr +7= 0$

$a = 2$

$b = -2r$

$c =7$

Substitute these values in $b^2 - 4ac = 0$

$(-2r)^2 - 4 * 2 * 7 = 0$

$4r^2 - 56 = 0$

Add 56 to both sides

$4r^2 - 56 + 56= 0 + 56$

$4r^2 = 56$

Divide through by 4

$r^2 = 14$

Take square roots

$\sqrt{r^2} = \±\sqrt{14$

$r = \±\sqrt{14$

Hence, the possible values of r are:

$\sqrt{14$ or $-\sqrt{14$

and the product is:

$Product = \sqrt{14} * -\sqrt{14}$

$Product = -14$

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2 years ago

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Answer:

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If really want equation answer it would be -7 but it simplifying. :)

Step-by-step explanation:

6(4+t)-3(t+1)

Simplify parenthesis first.

24+6t-3t-3

Simplify like terms

24-3+6t-3t

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Answer:

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Graph the solution of 2 ≥ 4 - v

vazorg [7]

Good evening ,

Answer:

2 ≤ v

Look at the photo below for the graph.

Step-by-step explanation:

2 ≥ 4 - v

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