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1 year ago

5. In the given sequence 32, 28, 24, 20, What rule is applied?

Mathematics

1 answer:

Nitella [24]1 year ago

4 0

Answer:

Step-by-step explanation:

A number is n, therefore you can start off with 32 and subtract 4 getting you 28. Subtract 4 and you get 24, and again 20.

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Can you please help me quickly

storchak [24]

Hello there! How are you today?

The answer choices appear to be indicating that we must apply the distributive property to find our simplified expression. To apply the distributive property, we must multiply the number outside of the parenthesis by all numbers inside of the parenthesis.

For example;

2(1 + 3)
Multiply 2 by all numbers inside of the parenthesis separately.

2(1) + 2(3)
2 + 6
8.

Now that we've explained and (hopefully) understand the concept of our problem, let's prepare to solve.

We have the following expression and answer choices:
96 + 36

A.) 4(24 + 9)
B.) 6(16 + 6)
C.) 12(8 + 3)
D.) 18(5 + 2)

Before we proceed to solve for this, let's evaluate our question carefully.

"Tonya uses the greatest common factor and the distributive property to rewrite this sum: 96 + 36"

Now, let's list the factors out from each number.

96;

1 x 96
2 x 48
3 x 32
4 x 24
6 x 16
8 x 12

36;

1 x 36
2 x 18
3 x 12
4 x 9
6 x 6

Now that we've listed our factors, let's take a look and see which answer choices contain our factors and which don't.

A, B, and C all list factors that are shown above. However, D doesn't as it has "5", which we do not have any numbers that end in 5 or 0, so we can remove answer choice "D" off of our list.

We are now remaining with answer choices A, B, and C.

Since the question requests that we use the greatest common factor, let's take a look into our factors and see which one is the greatest.

The greatest common factor is "12", so we should look for the answer choice that best matches 12.

Answer choice "C" is the only answer choice that contains our greatest common factor, 12.

Your answer is "C.)"

I hope this helps!

8 0

2 years ago

A 100-inch board is cut into two pieces one peice is three times the length of the other find the length of the shorter peice

Masteriza [31]

Answer:

5 ?

Step-by-step explanation:

8 0

2 years ago

14. You traveled 48 miles less than your friend Pablo. If you traveled 117 miles how

azamat

Answer:

165 miles

Step-by-step explanation:

117 + 48 = 165

8 0

2 years ago

Read 2 more answers

The length of a rectangle is increasing at a rate of 4 meters per day and the width is increasing at a rate of 1 meter per day.

puteri [66]

Answer:

$\displaystyle \frac{dA}{dt} = 102 \ m^2/day$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Geometry

Area of a Rectangle: A = lw

l is length
w is width

Calculus

Derivatives

Derivative Notation

Implicit Differentiation

Differentiation with respect to time

Derivative Rule [Product Rule]: $\displaystyle \frac{d}{dx} [f(x)g(x)]=f'(x)g(x) + g'(x)f(x)$

Step-by-step explanation:

Step 1: Define

$\displaystyle l = 10 \ meters$

$\displaystyle \frac{dl}{dt} = 4 \ m/day$

$\displaystyle w = 23 \ meters$

$\displaystyle \frac{dw}{dt} = 1 \ m/day$

Step 2: Differentiate

[Area of Rectangle] Product Rule: $\displaystyle \frac{dA}{dt} = l\frac{dw}{dt} + w\frac{dl}{dt}$

Step 3: Solve

[Rate] Substitute in variables [Derivative]: $\displaystyle \frac{dA}{dt} = (10 \ m)(1 \ m/day) + (23 \ m)(4 \ m/day)$
[Rate] Multiply: $\displaystyle \frac{dA}{dt} = 10 \ m^2/day + 92 \ m^2/day$
[Rate] Add: $\displaystyle \frac{dA}{dt} = 102 \ m^2/day$