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Afina-wow [57]
3 years ago
13

I NEED HELP NOW ur really gonna need to solve this 10t-5=60

Mathematics
2 answers:
asambeis [7]3 years ago
8 0

Answer:

t = 6.5

Step-by-step explanation:

10t - 5 = 60

Add 5 to each side

10t -5+5 = 60+5

10 t = 65

Divide each side by 10

10t/10 = 65/10

t = 6.5

faltersainse [42]3 years ago
3 0

Answer:

\huge \: t =  \frac{13}{2}

Step-by-step explanation:

10t - 5 = 60

Using the addition property add 5 to both sides of the equation

That's

10t - 5 + 5 = 60 + 5 \\ 10t = 65

<u>Divide both sides by 10</u>

\frac{10t}{10}  =  \frac{65}{10}  \\  t =  \frac{65}{10}

<u>Reduce the fraction with 5</u>

We have the final answer as

t =  \frac{13}{2}  \\

Hope this helps you

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when 6 is subtracted from the square of a number, the result is 5 times the number. Find the negative solution.
sveta [45]

When 6 is subtracted from the square of a number, the result is 5 times the number, then the negative solution is -1

<h3><u>Solution:</u></h3>

Given that when 6 is subtracted from the square of a number, the result is 5 times the number

To find: negative solution

Let "a" be the unknown number

Let us analyse the given sentence

square of a number = a^2

6 is subtracted from the square of a number = a^2 - 6

5 times the number = 5 \times a

<em><u>So we can frame a equation as:</u></em>

6 is subtracted from the square of a number = 5 times the number

a^2 - 6 = 5 \times a\\\\a^2 -6 -5a = 0\\\\a^2 -5a -6 = 0

<em><u>Let us solve the above quadratic equation</u></em>

For a quadratic equation ax^2 + bx + c = 0 where a \neq 0

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

Here in this problem,

a^2-5 a-6=0 \text { we have } a=1 \text { and } b=-5 \text { and } c=-6

Substituting the values in above quadratic formula, we get

\begin{array}{l}{a=\frac{-(-5) \pm \sqrt{(-5)^{2}-4(1)(-6)}}{2 \times 1}} \\\\ {a=\frac{5 \pm \sqrt{25+16}}{2}=\frac{5 \pm \sqrt{49}}{2}} \\\\ {a=\frac{5 \pm 7}{2}}\end{array}

We have two solutions for "a"

\begin{array}{l}{a=\frac{5+7}{2} \text { and } a=\frac{5-7}{2}} \\\\ {a=\frac{12}{2} \text { and } a=\frac{-2}{2}}\end{array}

<h3>a = 6 or a = -1</h3>

We have asked negative solution. So a = -1

Thus the negative solution is -1

6 0
3 years ago
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