MATHEMATICS HIGH SCHOOL

The length of a rectangle is twice its width. The perimeter of the rectangle is 24 inches. Write a system of equations in 2 variables. Use substitution to solve the problem

Answers

Answer 1
Answer: Let us assume the width of the rectangle = w
Let us assume the length of the rectangle = l
Then
l = 2w
Also 
Perimeter of the rectangle = 2 (l + w)
24 = 2 (2w + w)
24 = 2 (3w)
24 = 6w
w = 24/6
    = 4 inches
Now 
The length of the rectangle = 2w
                                            = 2 * 4 inches
                                            = 8 inches
So the length of the rectangle is 8 inches and the width is 4 inches.

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$1500 at 4% for 5 years

show your work please.

Answers

Answer:

$12825

Step-by-step explanation:

If the amount is 1.500 and intrest rate 4.00% and we have 5 years to invenst then that gives us $12.825

Look at the pattern below. What is the pattern rule? 3, 9, 27, 81, … Start at 3 and a) add 6 to get the next term b) m ultiply by 2 to get the next term c) m ultiply by 3 to get the next term d) m ultiply by itself to get the next term

Answers

Answer: Multiply by 3 to get the next term

Step-by-step explanation:

3, 9, 27, 81

3x3 = 9

9x3 = 27

27x3 = 81

The midpoint of AB is M(-4,0). If the coordinates of A are (-6,4), what are the coordinates of B?

Answers

Answer:

B(-2,-4)

Step-by-step explanation:

Let coordinates of B be (x,y)

( ( - 6+ x)/(2) . (4 + y)/(2) ) = ( - 4.0) \n x = 2( - 4) + 6 \n x = - 2 \n \n y = 2(0) - 4 \n y = - 4

The movie theatre has 250 seats. 225 seats were sold for the current showing . What percent of the seats are empty?

Answers

all you do is divide like this      225/250=0.9     and 0.9 is 90% so your answer is 90% hope i am the brainliest i need it to move up to the next rank 
250-225=25 seats empty. Place what you want/total=(25/250)x100=0.1x100=10% of the seats are empty.

What is 21x^6y^5 divided by 14x^y^9 will make brainliest lot of points on the line too

Answers

The simplified expression is: (3/2) x⁵ * (1/y⁴), or (3x⁵) /(2y⁴).

What is indices?

Indices, in mathematics, refer to the small numbers or symbols (exponents) used to indicate the power or exponent to which a number is raised, often in the context of exponents or powers.

To divide the expression (21x⁶y⁵) by (14x¹y⁹), simplify by subtracting the exponents of like terms:

(21x⁶y⁵) / (14x¹y⁹) = (21/14) * (x⁶⁻¹ * (y⁵⁻⁹))

Now simplify each part:

121/14) simplifies to (3/2)

x⁶⁻¹ simplifies to x⁵

3. y⁵⁻⁹ simplifies to y⁻⁴

So, the simplified expression is

(3/2) x⁵ * (1/y⁴), or (3x⁵) / (2y⁴).

Learn more about indices here

brainly.com/question/15361818

#SPJ3

Answer:

(3x^4)/(2y^4)

Step-by-step explanation:

(21x^6y^5)/(14x^2y^9)= \n\n\n(21)/(14)\cdot (x^6)/(x^2) \cdot (y^5)/(y^9)= \n\n\n(3x^4)/(2y^4)

Hope this helps!

A restaurant requires 4 1/2 ounces of butter for every bowl of curry it makes. In an hour an average of 2 1/2 bowls of curry is served.How many ounces of butter are required in 1 1/2 hours?


ounces

Enter a number like 212or 52.

Answers

1 Ounce of Butter = B

Bowl of Curry = C

1 Hour = H

----------------

A restaurant requires 4 + 1/2 ounces of butter for every bowl of curry it makes...

C = 9/2 * B

In an hour, an average of 2 + 1/2 bowls of curry is served...

H = 5/2 * C

... Which means that: H = 5/2 * 9/2 * B

... So: H = 45/4 * B

The question was: How many ounces of butter are required in 1 + 1/2 hours?

Here is the answer:

3/2 * H = 3/2 * 45/4 * B

3/2 * H = 135/8 * B

In words, 16 + 7/8 ounces of butter would be required over a period of 1 + 1/2 hours.
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