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3 years ago

Find the perimeter of a rectangle with a width of 5 1/3 feet and a length of 10 1/6 feet.

Mathematics

1 answer:

Alika [10]3 years ago

3 0

Answer: 31 ft

Step-by-step explanation: Add all of the sides together. So 5 1/3 + 5 1/3 + 10 1/6 + 10 1/6. Convert to the same denominator (6). 5+5+10+10=30. 2/6+2/6+1/6+1/6=1. And 30+1=31

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It rained 40% of the days during Casey's vacation. What fraction of the days did it rain? Please help me!

Virty [35]

Answer:
40/100=2/5
2/5 is the answer.

6 0

2 years ago

Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).

ddd [48]

Answer:

$f'(x) = 4x^2 - 3$ for $x \le -3$

Step-by-step explanation:

See attachment for proper question

Given

$f(x) = -\frac{1}{2}\sqrt{x + 3}$

For

$x \ge -3$

Required

Determine the inverse function

$f(x) = -\frac{1}{2}\sqrt{x + 3}$

Replace f(x) with y

$y = -\frac{1}{2}\sqrt{x + 3}$

Swap the positions of x and y

$x = -\frac{1}{2}\sqrt{y + 3}$

Multiply both sides by -2

$-2 * x =-2 * -\frac{1}{2}\sqrt{y + 3}$

$-2x =\sqrt{y + 3}$

Square both sides

$(-2x)^2 =(\sqrt{y + 3})^2$

$4x^2 =y + 3$

Make y the subject

$y = 4x^2 - 3$

The inverse has been solved. So, we need to replace y with f'(x)

$f'(x) = 4x^2 - 3$

Next, is to determine the interval

$x \ge -3$

Change inequality to $\le$

$x \le -3$

Hence, the inverse function is:

$f'(x) = 4x^2 - 3$ for $x \le -3$

7 0

2 years ago

Help me find the answer

never [62]

The answer is letter C.

7 0

3 years ago

Tickets for a play cost $3 for children and $10 for adults. A group of 25 people paid a total of $201 for tickets to the play. H

lidiya [134]

Answer: There were 7 children

Step-by-step explanation:

Let's use <em>x </em>to represent the children and <em>y </em>to represent the adults.

We know they combine to make a group of 25 people so x+y=25

We also know that they paid $201 and that there is $3 per child and $10 for adults so 3x+10y=201

I will solve by substitution.

Solve for y in the first equation

$x+y=25\\x-x+y=25-x\\y=25-x$

Sub in our value for y into the other equation and solve for x

$3x+10y=201\\3x+10(25-x)=201$

Step 1) Simplify

$3x+250-10x=201\\-7x+250=201$

Step 2) Subtract 250 from both sides

$-7x+250-250=201-250\\-7x=-49$

Step 3) Divide both sides by -7

$\frac{-7x}{-7} =\frac{-49}{-7}\\x=7$

8 0

2 years ago

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A piece of fabric is 2 yards long. The fabric is cut into 24 pieces of equal length.

Archy [21]

Each piece is 3 inches

6 0

3 years ago

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