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2 years ago

A company sells I shirts for $6 each. They also charge a one time processing fee of $3

Mathematics

1 answer:

Maksim231197 [3]2 years ago

4 0

Answer:

45= 6x + 3 answer is 7 shirts

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

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

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

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

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

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

Find the value of this expression if x = -1 and<br> y=7.<br> Xy / 8

ioda

-7/8

Step-by-step explanation:

$\frac{xy}{8} \\ = \frac{( - 1) \times 7}{8} \\ = - \frac{7}{8}$

So, the value of xy/8 is -7/8

7 0

2 years ago

A swimming pool in the shape of a rectangle is surrounded by 3 feet of walkway. the pool is 23 feet wide and 32 feet long. how l

Rom4ik [11]

Dimensions of walkway and pool= (23+3) x (32+3) => 26ft x 35 ft

Perimeter: 2(l+w)
= 2 (26ft + 35ft)
= 122 ft fence would be required to enclose the walkway and the pool.

5 0

3 years ago

Feeding trough is in the shape of a

Alex787 [66]

Step-by-step explanation:

1 1/4

is also 5/4

5/4 * 3 * 1/2 * 40 =

answer in comments

please mark as brainest

3 0

2 years ago

Please answer 1 - 3! thank you!

Firdavs [7]

Answer:

The first one is

5x * 10

(x is the variable) TIMES 10

Step-by-step explanation:

8 0

3 years ago