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MAXImum [283]
3 years ago
8

Which expression is equivalent to 6(14)? 6(10 + 4) 6(10 + 14) 6(1 + 40) 6(10 + 40)

Mathematics
2 answers:
ratelena [41]3 years ago
6 0

Expression 6 (10 + 4) is equivalent to 6 (14)

Both expressions produce the same result: 84

<h3>Further explanation </h3>

Calculation operations include multiply, divide, add, substract, etc.

In mathematical operations we can use the order of operations / calculations according to the principle of PEMDAS

  • P: Parentheses ⇒ ()
  • E: Exponents (powers, square roots, etc.) ⇒√, ²
  • MD: Multiplication and Division ⇒ x and:
  • AS: Addition and Subtraction ⇒ + and -

Multiplication and division or addition and subtraction are interchangeable / rank equally and also the calculations / equation operations should be done from left to right

 

If we look at Parentheses it shows that

  • 1. we do the calculation operation first
  • 2. we multiply the numbers in parentheses by the numbers outside the parentheses

From expression 6 (14), the parentheses are telling us to multiply the 6 and the 14 together.

6x14 is the same as expression 6 (14) or (6) 14 or (6) (14). they all equal to 84

Equivalent to 6 (14)

"Equivalent to" means having the same value.

Let see the answer choices available, which produce the same results (in the order of operation, Parentheses done first)

  • 6 (10 + 4)

= 6 (14) = 84

  • 6 (10 + 14)

= 6 (24) = 144

  • 6 (1 + 40)

= 6 (41) = 246

  •  6 (10 + 40)

= 6 (50) = 300

The results of the multiplication operations above show that 6 (10 + 4)   is equivalent to 6(14)

<h3>Learn more </h3>

6 squared divided by 2 (3) +4

brainly.com/question/376058

an algebraic expression

brainly.com/question/20988

brainly.com/question/2285423

Keywords: PEMDAS, arithmetic operations, multiply, Parentheses, equivalent to

4vir4ik [10]3 years ago
4 0

The equivalent expression for 6\left( {14} \right) is \boxed{6\left( {10 + 4} \right)}. Option (a) is correct.

Further explanation:

Given:

The options are as follows,

A. 6\left( {10 + 4} \right)

B. 6\left( {10 + 14} \right)

C. 6\left( {1 + 40} \right)

D. 6\left( {10 + 40} \right)

Explanation

The associative property is defined as a grouping of multiplication, addition, subtraction and division.

The given expression is 6\left( {14} \right).

14 can be represented as a sum of 10 and 4.

14 = 10 + 4

The given expression can be expressed as follows,

6\left( {14} \right) = 6\left( {10 + 4} \right)

The equivalent expression for 6\left( {14} \right) is \boxed{6\left( {10 + 4} \right)}. Option (a) is correct.

Option (a) is correct.

Option (b) is not correct.

Option (c) is not correct.

Option (d) is not correct.

Learn more

  1. Learn more about the polynomial brainly.com/question/12996944
  2. Learn more about logarithm model brainly.com/question/13005829
  3. Learn more about the product of binomial and trinomial brainly.com/question/1394854

Answer details:

Grade: High school

Subject: Mathematics

Chapter: Number system

Keywords: equivalent, expansion, parenthesis, place value, base value, decimal expansion, whole number, natural number, division, multiplication, subtraction, solve the equation, solution, linear equation.

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8 0
2 years ago
The formula T= 2pi sqrt(L/32) relates the time, T, in seconds for a pendulum with the length, L, in feet, to make one full swing
tester [92]

The length of pendulum is 2.485 feet

<h3><u><em>Solution:</em></u></h3>

Given that,

The formula T= 2pi sqrt(L/32) relates the time, T, in seconds for a pendulum with the length, L, in feet, to make one full swing back and forth

<u><em>Therefore, the given formula is:</em></u>

T=2\pi \sqrt{\frac{L}{32} }

We have to find the length of pendulum that makes one full swing in 1.75 seconds

So the modify the given equation to find "L"

T=2\pi \sqrt{\frac{L}{32} }\\\\ \sqrt{\frac{L}{32} }=\frac{T}{2 \pi}\\\\\text{Taking square root on both sides }\\\\\frac{L}{32} = \frac{T^2}{4 \pi^2}\\\\L = \frac{T^2}{4 \pi^2} \times 32\\\\L = \frac{T^2}{\pi^2 } \times 8

Substitute T = 1.75 seconds and \pi = 3.14

L = \frac{1.75^2}{3.14 \times 3.14} \times 8\\\\L = \frac{3.0625}{9.8596} \times 8\\\\L = 2.485

Thus length of pendulum is 2.485 feet approximately

7 0
3 years ago
At a farmers' market Saturday, 5/8 of the vegetables sold were green. Of these, 3/4 were string beans. What fraction of the vege
Dennis_Churaev [7]

Answer: 15/32

Step-by-step explanation:

The data that we have is:

5/8 of the vegetable sold where green.

of theses 5/8, 3/4 were string beans.

Then the 3/4 is applied to the 5/8 of green vegetables.

Then the fraction (of the total number of vegetables) that were string beans was:

F  = (3/4)*(5/8) = (3*5)/(4*8) = 15/32

3 0
3 years ago
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insens350 [35]

Answer:

B. 1469.52 cubic units

Step-by-step explanation:

6 squared is 36, 36 x 13 is 46s, 468 x 3.14(pie) is 1469.52

3 0
3 years ago
-4x + 7.3x + 19.2x - 8.23 <br> and it’s not 22.5x - 8.38 by the way, I tried it .
Gekata [30.6K]

Answer:

You put 8.38 instead of 8.23

6 0
3 years ago
Read 2 more answers
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