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3 years ago

Decide if there is one solution, no solution or infinitely many solutions. ½(6t – 4) = 3t - 4 *

Mathematics

2 answers:

ozzi3 years ago

8 0

Answer:

no solution, because there is no value of x.

Step-by-step explanation:

3t - 2 = 3t - 4

3t - 3t = 2 - 4

0 = -2

earnstyle [38]3 years ago

6 0

Answer:

Step-by-step explanation:

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A color printer prints 16 pages in 7 minutes. How many pages does it print per minute?

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3 years ago

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SOMEBODY HELP PLEASEEE I DONT KNOW WHY THIS IS SUPPOSED TO BE 20+ CHARACTERS LONG BUT HERE IT IS

dimaraw [331]

Answer:

20h + 20

Step-by-step explanation:

5(2h + 4) + 10h

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3 years ago

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IrinaVladis [17]

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3 years ago

A small garden measures 9 ft by 13 ft. A uniform border around the garden increases the total area to 192 ft square. What is the

victus00 [196]

The width of border is 1.5 feet

<h3>Solution:</h3>

Given that small garden measures 9 ft by 13 ft

A uniform border around the garden increases the total area to 192 ft square

To find: width of border

Let the width of border be "x"

Then the new measures of garden are (9 + 2x) feet and (13 + 2x) feet

The total area of garden = 192 square feet

$(9 + 2x)(13 + 2x) =192$

$117 + 18x + 26x + 4x^2 = 192\\\\4x^2 + 44x - 75 = 0$

Let us solve the above equation by quadratic formula

$\text {For a quadratic equation } a x^{2}+b x+c=0, \text { where } a \neq 0\\\\x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}$

Using the above formula,

For $4x^2 + 44x - 75 = 0$ , we have a = 4 ; b = 44 ; c = -75

Substituting the values of a = 4 ; b = 44 ; c = -75 in above quadratic formula we get,

$\begin{aligned}&x=\frac{-44 \pm \sqrt{44^{2}-4(4)(-75)}}{2 \times 4}\\\\&x=\frac{-44 \pm \sqrt{1936-1200}}{8}\\\\&x=\frac{-44 \pm \sqrt{3136}}{8}\\\\&x=\frac{-44 \pm 56}{8}\end{aligned}$

$\begin{aligned}&x=\frac{-44+56}{8} \text { or } x=\frac{-44-56}{8}\\\\&x=\frac{12}{8} \text { or } x=\frac{-100}{8}\\\\&x=1.5 \text { or } x=-12.5\end{aligned}$

Since "x" cannot be negative,

we get x = 1.5

Thus width of border is 1.5 feet

4 0

3 years ago