Is 1/3 greater than .3

Answers

Answer 1

Answer: Yes, 1/3 is greater than .3

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Milli plans to rent a room for her birthday party for $40. The catering charge is $12 per person but there is no charge for Milli's meal since she is the guest of honor. If Milli has $100 to spend on her birthday party, how many guests can she invite?

Answers

Since Milli has $100 to spend on her birthday party and she will pay $40 so the remaining money left for her party is $60. For the $60 left she will then pay $12 for each guest for catering. Divide $60 by $12, the answer is 5. Therefore Milli will have 5 guests for her birthday.

Answer:

Step-by-step explanation:

proof in the picture.

If h(x) = 3x − 1 and j(x) = −2x, solve h[j(2)] and select the correct answer below.−11
11
−13
13

Answers

Answer:

Option 3rd is correct.

the value of h[j(2)] is, -13

Step-by-step explanation:

Given the functions:

$h(x) = 3x-1$

$j(x) = -2x$

We have to find the value of h[j(2)]

$h[j(x)] = h[-2x]$

Replace x from -2x in h(x) we have;

$h[-2x] = 3(-2x)-1 = -6x -1$

⇒ $h[j(x)] = -6x-1$

Substitute the value of x = 2 we get;

$h[j(2)] = -6(2)-1 = -12-1 = -13$

Therefore, the value of h[j(2)] is, -13

h(x) = 3x - 1
j(x) = -2x

h[j(2)] ⇒ j(2) = -2(2) ⇒ j(2) = -4

h(-4) = 3(-4) - 1
h(-4) = -12 - 1
h(-4) = -13

h[j(2)] = -13

What is the simplified expression for 2(x - 5)?

Answers

If you would like to know the simplified expression for 2 * (x - 5), you can find this using the following steps:

2 * (x - 5) = 2 * x - 2 * 5 = 2 * x - 10

The correct result would be 2 * x - 10.

The answer would be 2x-10

What equation is solved by the graphed systems of equations?a. 3x + 4 = 5x - 10
b. 3x - 4 = 5x - 10
c. 3x + 4 = 5x + 10
d. 3x - 4 = 5x + 10

Answers

The solution on the graph is (x,y)=(7,25), so x=7.

$a. \n3x+4=5x-10 \n3x-5x=-10-4 \n-2x=-14 \nx=(-14)/(-2) \nx=7 \n \nb. \n3x-4=5x-10 \n3x-5x=-10+4 \n-2x=-6 \nx=(-6)/(-2) \nx=3 \n \n c. \n3x+4=5x+10 \n3x-5x=10-4 \n-2x=6 \nx=(6)/(-2) \nx=-3 \n \nd. \n 3x-4=5x+10 \n3x-5x=10+4 \n-2x=14 \nx=(14)/(-2) \nx=-7$

x=7 in the equation a, so the answer is A.

Alaina bought a square frame for her desk that has an area of 81 square inches. What is the perimeter of the frame? (answer should be a number only)

Answers

Given:

Area of a square frame = 81 square inches.

To find:

Perimeter of the frame.

Solution:

Let length of each side of the frame = a inches.

Area of square frame is

$Area=a^2$

$81=a^2$

Taking square root on both sides,

$\pm√(81)=a$

$\pm 9=a$

Side length cannot be negative. So, a=9 inches.

Perimeter of frame is

$Perimeter=4a$

$Perimeter=4(9)$

$Perimeter=36$

Therefore, the perimeter is 36 inches.

Final answer:

The perimeter of the frame is 36 inches.

Explanation:

To find the perimeter of a square, we need to know the length of its sides. Since the area of the frame is given as 81 square inches, we can find the length of one side by taking the square root of the area. The square root of 81 is 9, so each side of the frame measures 9 inches.

Since a square has four equal sides, we can find the perimeter by multiplying the length of one side by 4. Therefore, the perimeter of the frame is 9 inches x 4 = 36 inches.

Learn more about Perimeter here:

brainly.com/question/31695951

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Find the missing value of a triangle one leg is 12 and the long side is 20 what is the other leg?

Answers

Simple,

using the Pythagorean Theorem...

$a^(2) + b^(2) = c^(2)$

You have the hypotenuse (C) and one of the legs (A)

So, plug in what you know...

$12^(2)+ b^(2) = 20^(2)$

144+ $b^(2)$ =400

Now,isolate $b^(2)$

$144+ b^(2) =400$
-144 -144

Leaving you with...

$b^(2) =256$

So, now, $√(256)$ , to find what b is..

b=16

Thus, your answer.

IF this is a 'right' triangle, then we can calculate an answer.
If it's NOT a right triangle, then no answer is possible.

I'm going to assume that it's a right triangle, because you did say
that one 'leg' is 12, and you want the length of the other 'leg'. It's
common to refer to the two short sides of a right triangle as 'legs'.

In "Tales of Pythagoras", we learned that in a right triangle ...

(Longest side)² = (one leg)² + (the other leg)²

In your triangle ...

   (20)²       = (12)² + (the other leg)²

      (400)    = (144) + (the other leg)²

Subtract 144 from each side: (The other leg)² = (400 - 144) = 256

   The other leg    = √256 = 16 .

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