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3 years ago

7

At a tennis event, 10% of a player's score is based on serves, 40% on return balls, and 50% on wins. Kyle makes 85% of his serve

s, returns 70% of the balls, and wins 75% of his games. What is Kyle's score at the tennis event? Enter your answer in the box.

1 answer:

ella [17]3 years ago

7 0

The answer would be 74 I took the test :)

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Step-by-step explanation:

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3 years ago

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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

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<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,

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

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Since "x" cannot be negative,

we get x = 1.5

Thus width of border is 1.5 feet

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Step-by-step explanation:

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