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Vlad [161]
3 years ago
15

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Mathematics
1 answer:
Aleonysh [2.5K]3 years ago
5 0
I believe the answer is 48 ... hope this helps
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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
Movies are on sale for 3/
vredina [299]

Answer:

$7.50

Step-by-step explanation:

3/4 of the original price

Original price: $10

So we need 3/4 of $10

10 ÷ 4 = 2.5

2.5(3) = 7.5

3/4 of $10 = 7.5, so the price is now $7.50

6 0
3 years ago
Read 2 more answers
Find the volume of the prism
anygoal [31]

Answer:

75

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Erica can paint her room 5 hours .If she had her friend Rachel help her , they can paint the room together in 3 hours .How long
LUCKY_DIMON [66]

Answer:

7 hours 30min

Step-by-step explanation:

Step one :

Given data

We are told that Erica can paint 1 room in 5hours

Her work rate is 1/5 room per hour

And also with the assistance of her friend they can paint 1 room in 3 hours

Hence their combined work rate is 1/3 room per hour

Step two

The combined work expression is

1/A+1/B=1/T

Where A=Erica's work rate

B=Rachael's work rate

T=combined work

1/5+1/B=1/3

1/B=1/3-1/5

1/B=5-3/15

1/B=2/15

B=15/2

B=7.5 hours

It will take Rachel 7 hours 30min to paint the room

4 0
3 years ago
I also need help with this one
solmaris [256]
The amount of pizza Mark would have is
\frac{1}{6}  +  \frac{1}{4}
Find the common denominators first. 2/12 + 3/12 = 5/12. Two slices of the 6 slice pizza is 1/3 or 4/12.
6 0
3 years ago
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