All categories

3 years ago

Concert unit rate 345 ft/ 1 min to ft/hrs

Mathematics

1 answer:

Naily [24]3 years ago

5 0

Answer:

20700ft/hr

Step-by-step explanation:

You might be interested in

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

the price of one share of ABC company decreased a total of $45.75 in 5 days what was the acerage change of the price of one shar

yulyashka [42]

Just divide 40 divided by 5 and you should get $9.15

8 0

3 years ago

Read 2 more answers

Write the number 2.4 in the form a divided by b, using integers, to show that it is a rational number.

nadezda [96]

2.4= 2 4/10 which simplifies to 2 2/5

5 0

3 years ago

Read 2 more answers

What is 714 divided by 14?

ivanzaharov [21]

Answer:

Step-by-step explanation:

Hope this helps

3 0

3 years ago

Read 2 more answers

A company that makes hair care products had 6,000 people try a new shampoo of the 6.000

Y_Kistochka [10]

Answer:

0.2

Step-by-step explanation:

600/60 = 100

12/60 = 0.2

8 0

3 years ago