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2 years ago

Solve the following equation 5x-3(x-2)=10+x

Mathematics

1 answer:

Lerok [7]2 years ago

6 0

<h2>Solving Equations</h2><h3>Answer:</h3>

$x = 4$

<h3>Step-by-step explanation:</h3>

$5x -3(x -2) = 10 +x \\ 5x -3x +6 = 10 +x \\ 2x +6 = 10 +x \\ 2x +6 -x = 10 +x -x \\ x +6 = 10 \\ x +6 -6 = 10 -6 \\ x = 4$

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nata0808 [166]

Answer:

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Step-by-step explanation:

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3 years ago

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A recipe calls for 1.5 cups of raisins for 18 cookies how many cups of raisins must be used for making 30 cookies. please break

Zanzabum

Lets list what we know:

1.5 cups = 18 cookies

How many cups in 1 cookie will help us find the answer:

1.5 / 18 (1.5 cups per 18 cookies)

divide both sides by 1.5 (to get how many cookies in 1 cup)

1 / 12 (1 cup = 12 cookies)

Now, how many times does 12 fit in 30?

30/12 = 2.5

This means it takes 2 and a half cups of raisins to get 30 cookies.

If anything is still unclear please comment,

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3 years ago

Your school wants to take out an ad in the paper congratulating the basketball team on a successful season, as shown to the rig

iogann1982 [59]

Answer:

$x_1 =-14.43 in, x_2 = 2.426in$

Since the measurement can't be negative the correct answer for this case would be $x =2.426 in$

Step-by-step explanation:

Let's assume that the figure attached illustrate the situation.

For this case the we know that the original area given by:

$A_i = 7 in *5 in = 35in^2$

And we know that the initial area is a half of the entire area in red $A_i = \frac{A_f}{2}$ , so then:

$A_f = 2 A_ i =2*35 = 70$

And we know that the area for a rectangular pieces is the length multiplied by the width so we have this:

$70 = (x+7) (x+5)$

We multiply both terms using algebra and the distributive property and we got:

$70 =x^2 +12 x +5$

And we can rewrite the expression like this:

$x^2 +12 x -35 = 0$

And we can solve this using the quadratic formula given by:

$x = \frac{-b \pm \sqrt{b^2 -4ac}}{2a}$

Where $a = 1, b =12 and c=-35$ if we replace we got:

$x = \frac{-12 \pm \sqrt{(12)^2 -4(1)(-35)}}{2*1}$

And the two possible solutions are then:

$x_1 =-14.43 in, x_2 = 2.426in$

Since the measurement can't be negative the correct answer for this case would be $x =2.426 in$

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Answer:

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