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3 years ago

A) What is the annual cost of fuel for the Prius?

Mathematics

1 answer:

Ipatiy [6.2K]3 years ago

3 0

The Prius is the answer 892.49 for year and Infiniti is 2233.33

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4x-5=6x+13<br> What is the first step in solving equations

expeople1 [14]

Answer:

4x-6x=13+5

-2x=18

x=18/-2=-9

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3 years ago

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What is the answer ?

pentagon [3]

Answer:

in order for your fraction to equal 3 you need to have 9/3 which will equal 3. so what minus 1 will get you 9? 10 will. x=10

10-1/3

9/3

3=3

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3 years ago

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juan worked 2.5 hours each day from monday through friday plus 7.5 hours on saturday. his total pay was 128 dollars. how much di

Lyrx [107]

Juan earned $6.40 per hour. Because he worked 12.5 hours monday through friday plus the extra 7.5 hours on saturday which equals 20. And 128 divided by 20 is 6.40

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3 years ago

5. Writing to Explain How many 2-inch cubes could fit inside the

kupik [55]

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3 years ago

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"

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

We have asked negative solution. So a = -1

Thus the negative solution is -1

6 0

3 years ago