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3 years ago

8

Use the quadratic formula to solve the equation.

1 answer:

barxatty [35]3 years ago

6 0

X= 5+ √5/4, x=5-√5/4 USE SYMBOLAB!!

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A gardener already has four and one over 2 ft of fencing in his garage. He wants to fence in a square garden for his flowers. Th

NikAS [45]

<h2>Answer:</h2>

$6\frac{1}{2}$ <u>, "six and one over two ft".</u>

<h2>Step-by-step explanation:</h2>

Let's considerate the fact that the garden has a <u>square shape</u>.

<h3>1. Finding values of interest.</h3>

Amount of fence that the gardener already has: $4\frac{1}{2}$ ft.

Length of one side: $2\frac{3}{4}$ ft.

If one side measures $2\frac{3}{4}$ ft, and the square garden has 4 sides of equal length, because it's a square, then we must multiply the measure of one side by 4 to find the total length of fence needed:

$4*(2\frac{3}{4})=\\ \\4*(2+\frac{3}{4})=\\ \\(4*2)+(4*\frac{3}{4})=\\ \\8+(\frac{12}{4} )=\\ \\8+3=\\ \\11$

<h3>2. How much more does he need?</h3>

The gardener already has $4\frac{1}{2}$ , which equals $4 + \frac{1}{2}$ . Hence, the difference between the amount needed and the amount that the gardeneralready has will give us the remaining amount required. Let's do that:

$11-(4+\frac{1}{2} )=\\ \\11-(\frac{8}{2} +\frac{1}{2} )=\\ \\11-\frac{9}{2}= \\ \\\frac{22}{2} -\frac{9}{2}=\\\\ \frac{13}{2}$

<h3>3. Express your result.</h3>

$\frac{13}{2} =\\ \\\frac{2}{2} +\frac{2}{2} +\frac{2}{2} +\frac{2}{2} +\frac{2}{2} +\frac{2}{2} +\frac{1}{2}= \\ \\6+\frac{1}{2}=\\ \\6\frac{1}{2}$

8 0

2 years ago

Choices:<br><br> One-sixth cups<br> Five-sixths cups<br> 1 and two-thirds cups<br> 1 and 5 / 6 cups

navik [9.2K]

Answer:

Patel will require more orange juice = $\frac{371}{660}$ cups

Step-by-step explanation:

Patel needs the orange juice for his family = 3 cups

He needs more orange juice = 3 cups - Sum of juice squeezed from different oranges

$=3-(\frac{13}{15}+\frac{1}{5}+\frac{9}{20}+\frac{5}{11}+\frac{7}{15})$

L.C.M. of the denominators = 660

$=3-\frac{572+132+297+300+308}{660}$

$=3-\frac{1609}{660}$

= $\frac{1980-1609}{660}$

= $\frac{371}{660}$

Therefore, amount of orange juice required more = $\frac{371}{660}$ cups

3 0

3 years ago

The distance d in miles that can be covered by a rabbit in X hours is given in the equation y = 30 x The distance covered by a b

AveGali [126]

Answer:

Rabbit is faster than bear.

Step-by-step explanation:

Speed of rabbit or bear is determined by their rate of change of their distances with time.

The distance covered by rabbit in $x$ hours is given as:

$y=30x$

The above equation is of the form $y=mx$ , where, $m$ is the rate of change of $y$ with $x$ .

Therefore, the rate of change of rabbit's distance with time is 30 mi/h.

Now, from the graph, the slope is given as the rise over run.

Rise is 50 miles and run is 2 miles.

So, rate of change of bear's distance with time is, $m_b=\frac{50}{2}=25\ mi/h$

Now, 30 is greater than 25. So, rabbit is faster than bear.

6 0

3 years ago

How could you find 3/8% of 800

Damm [24]

Well 3/8 is .375 but times 100 is 37.5%
Then 37.5% of 800 is 300

7 0

3 years ago

Read 2 more answers

Which expression can you simplify by combining like terms? 6d2+5cd?3dc+8 12c2?8d2c+3dc+4 7d2?3c2+6d?c 16c2+8cd+7c?8d

Archy [21]

Simplify combining like terms on 8d2c+3dc+47d2

4 0

3 years ago