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2 years ago

What is the solution to the following equation? 17 n -23n + 11.5n = 44

Mathematics

2 answers:

faltersainse [42]2 years ago

5 0

Answer:

Isolate the variable by dividing each side by factors that don't contain the variable.

n = 8

Step-by-step explanation:

Have a nice day! I hope this helps!

dexar [7]2 years ago

3 0

Answer: n=8

Step-by-step explanation:Step 1: Simplify both sides of the equation.

17n−23n+11.5n=44

17n+−23n+11.5n=44

(17n+−23n+11.5n)=44(Combine Like Terms)

5.5n=44

Step 2: Divide both sides by 5.5.

5.5n/5.5=44/5.5

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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

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2 years ago

It is 42 1/2 miles from Eaton to Baxter, and 37 4/5 miles from Baxter to Wellington.How far is it from Eaton to Wellington, if y

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42 1/2+37 4/5=
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8 0

2 years ago

Read 2 more answers

Evaluate 1 3 m − 1 − 1 2 n 3 1 m−1− 2 1 nstart fraction, 1, divided by, 3, end fraction, m, minus, 1, minus, start fraction,

luda_lava [24]

Answer:

Step-by-step explanation:

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2 years ago

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Alexus [3.1K]

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