MATHEMATICS MIDDLE SCHOOL

A rectangular parking lot has a perimeter of 232 feet. The length of the parking lot is 36 feet less than the width. Find the length and the width.

Answers

Answer 1
Answer:

Answer:

The rectangular parking lot has a width of 76 feet and a length of 40 feet

Step-by-step explanation:

Let's find the length and the width of the rectangular parking lot, this way:

Perimeter = 232 feet

Perimeter = 2 Length + 2 Width

Length = Width - 36 feet

Now, substituting, we have:

2 (Width - 36) + 2 Width = 232

2 Width - 72 + 2 Width = 232

4 Width = 232 + 72

4 Width = 304

Width = 304/4 = 76 feet

Length = 76 - 36 = 40 feet

The rectangular parking lot has a width of 76 feet and a length of 40 feet

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How many centi are in 12 in

Answers

30.48 centimeters in 12 inches
30.48 centimenters are in 12 inches.

What are the powers of 3 in the range of 3 to 1,000?

Answers

3 to the power of zero = 1
3 to the power of one = 3
3 to the power of two = 9
3 to the power of three = 27
3 to the power of four = 81
3 to the power of five = 243
3 to the power of six = 729
powers 1 2 3    4  5        6 
values  3 9 27 81 243 729

What is the answer to -10+(-3)

Answers

Answer:-13

Step-by-step explanation:

Answer:

-13 would be your answer. Hope this helps!

What are the properties of rational exponents and how are they used tk solve problems

Answers

What makes a NUMBER rational is the ability to have a perfect square root, cube root, or have these components: Perfect square/cube, whole number, repeating (pattern) decimal, termination decimal, and I think one more that I can't remember.

The properties of the rational exponents are given and a rational equation is of the form b = aˣ

What are the laws of exponents?

When you raise a quotient to a power you raise both the numerator and the denominator to the power. When you raise a number to a zero power you'll always get 1. Negative exponents are the reciprocals of the positive exponents.

The different Laws of exponents are:

mᵃ×mᵇ = mᵃ⁺ᵇ

mᵃ / mᵇ = mᵃ⁻ᵇ

( mᵃ )ᵇ = mᵃᵇ

mᵃ / nᵃ = ( m / n )ᵃ

m⁰ = 1

m⁻ᵃ = ( 1 / mᵃ )

Given data ,

Let the rational exponent equation be A

Now , the properties of the exponent equations are

mᵃ×mᵇ = mᵃ⁺ᵇ

The powers of the exponents are added together

mᵃ / mᵇ = mᵃ⁻ᵇ

The powers of the exponents are subtracted together

( mᵃ )ᵇ = mᵃᵇ

The powers of the exponents are multiplied together

mᵃ / nᵃ = ( m / n )ᵃ

m⁰ = 1

Any number raised to the power of 0 is 1

m⁻ᵃ = ( 1 / mᵃ )

Hence , the exponents are solved

PLEASE GIVE BRAINLIEST

Final answer:

Rational exponents have properties that help to simplify expressions and solve mathematical problems. These properties include the product rule, the quotient rule, and the power rule. Utilizing these rules, especially in scientific notation, helps provide concise computations for very large or small numbers.

Explanation:

Properties of Rational Exponents

The properties of rational exponents play a key role in simplifying expressions and solving mathematical problems. Here are three key properties:

  • Product Rule: When you multiply two numbers with the same base, you should add the exponents. This is expressed as: a^m * a^n = a^(m+n).
  • Quotient Rule: When you divide two numbers with the same base, you should subtract the exponents. This rule is reflected in: a^m / a^n = a^(m-n).
  • Power Rule: When you raise a power to a power, you should multiply the exponents: (a^m)^n=a^(mn).

These properties are crucial for solving problems. For example, scientific notation, which is used to represent very large or small numbers, employs these properties of exponents. In scientific notation, numbers are expressed as a product of a digit term and an exponential term. This method is useful for making computations convenient and precise.

Learn more about Rational Exponents here:

brainly.com/question/20255006

#SPJ11

A composite figure is shown what is the volume of the composite figure

Answers

To find the volume of this composite figure, we simply need to take the volume of the large rectangular prism and subtract the volume of the chunk that was taken out of it.

So, we will start by just multiplying for volume of the entire whole prism, which would simply be length * width * height.

10 * 7 = 70

70 * 6 = 420

The volume of the entire figure, without the bit missing, is 420 cubic centimeters.

Now, we need to subtract the volume of the missing piece.

So we will take the volume of the smaller missing piece. We are given the length and width (3 and 6), but we don't know the height. We can find the height, though from the information given. We know that the height of the entire figure is 7, and that the distance from the bottom of the figure to the bottom of the chunk missing is 4, so we can just subtract to find the height of the missing figure.

7 - 4 = 3

And the height of the missing piece is 3.

So now, we can multiply:

3 * 6 = 18

18 * 3 = 54

The missing figure has a volume of 54 cubic centimeters.

Now, we can subtract.

420 - 54 = 366

The composite figure has a volume of 366 cubic centimeters.
Hope that helped! =)
To figure out the volume of the composite figure, break it down into easier, more manageable pieces.

For example, I'd break it down into two rectangles. One 7cm x 4cm x 6cm, and the other 6cm x 4cm x 6cm

Then, you simply find the volume of the two pieces, and add them together.

Volume = lenth x width x height

V = 7 x 4 x 6
V = 168 cubic cm.

V = 6 x 4 x 6
V = 144 cubic cm.

168 + 144 = 312 cubic cm.

The volume of the composite figure is 312 cubic centimeters.

An elephant can run one over four of a mile in 36 seconds. At this rate, which expression can be used to determine how fast an elephant runs in miles per hour?

Answers

Answer:

The expression

Step-by-step explanation:
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