The sum of two consecutive odd integers is 236. What is smaller integers

Answers

Answer 1

Answer: I'll say the first integer is x. The next consecutive odd number would be x+2. If the sum of the odd integers is 236, the equation would be
x + (x + 2) = 236
solve for x
2x + 2 = 236
subtract 2 from each side of the equation
2x = 234
divide both sides by 2
x = 117
117 is the first odd integer. to find the other integer (x + 2), substitute 117 for x, and you have 117 + 2, which equals 119
The two consecutive odd integers that add up to 236 are 117 and 119.

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Type the absolute value of -5.

Answers

Answer: +5

Explanation: Think of the absolute value of a number as the positive version of that number. So the absolute value of -5 would be +5.

The absolute value of negative number is opposite of this number.
(for positive number, absolute value will not do anything)

So |-5| = 5

Which of the following statements uses the commutative property of addition?2 + (3 + 4) = (2 + 3) + 4
2 + (3 + 4) = (2 + 3) + (2 + 4)
2 + (3 + 4) = 2 + (4 + 3)

Answers

2 + ( 3 + 4 ) = 2 + ( 4 + 3 ) is the correct statement.

What are laws of numbers ?

There are mainly three types of laws in basic mathematics they are commutative law, associative law and distributive law.

Commutative law states a + b = b + a.

Associative law states a + ( b + c ) = ( a + b ) + c.

Distributive law states a(b + c) = ab + ac.

According to the given question we have to determine which statement defines commutative law of addition correctly.

We know a + b = b + a for ∀ a,b ∈ N.

∴ The statement 2 + ( 3 + 4 ) = 2 + ( 4 + 3 ) is the correct statement.

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The correct answer is:

2 + (3 + 4) = 2 + (4 + 3)

Explanation:

The commutative property of addition tells us that the two addends, or numbers being added, can be "flipped around" the addition symbol. The only problem in which this occurs is 2 + (3 + 4) = 2 + (4 + 3) .

Refrer to the attached picture on which question is written. This question will be done according to Pathagoras theorem. This question answer is √a2-25 . I want step to step explanation.

Answers

i got something different

Find the solution to the following equation by transforming it into a perfect square trinomial.x2 – 12x = 13

   {46, 55}
       {–1, 13}
       {–15, 27}
       {–21, 33}

Answers

$x^(2) -12x=13\ \ \ \Leftrightarrow\ \ \ x^2-2\cdot x\cdot 6+6^2-6^2=13\n\n \Leftrightarrow\ \ \ (x-6)^2=13+36\ \ \ \Leftrightarrow\ \ \ (x-6)^2=49\ \ \ \Leftrightarrow\ \ \ (x-6)^2=7^2\n\nx-6=7\ \ \ \ \ \ \ or\ \ \ \ \ \ \ \ x-6=-7\n\nx=13\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ x=-1\n\nAns.\ x\in \{-1,\ 13\}$

x² -12x = 13 way to obtain 36 > (-12/2)² = 36
x² -12x + 36 =13 +36 since we add 36 to the left,we must also add 36 to the right
(x-6)² = 49
x-6 = 7
x = 7 + 6 = 13 or -7 + 6 = -1
x = -1 or 13

John threw a surprise birthday party for his friend. Food, drinks, and a DJ cost $480 for a group of 32 people. Write and solve and equation to find the cost c per person.

Answers

The required cost per person at the party is given as $15.

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
John threw a surprise birthday party for his friend.
Let the cost per peroson be c,
According to the question,
32c = 480
c = 480 / 32
c = 15

Thus, the required cost per person at the party is given as $15.

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First, you have to do 480/32. (divide) That gives you the cost of $15 per person.

What would you have to do to change 10 cubic feet into cubic inches? A. Multiply by 46,656 B. Divide by 1,728 C. Multiply by 1,728 D. Divide by 46,656

Answers

1 foot = 12 inches

(1 foot)³ = (12 inches)³

12³ = 1,728 in³

To change 10 cubic feet into cubic inches

10 ft³ * 1728 in³/ft³ = 17,280 in³ Choice C. Multiply by 1,728

C. Multiply by 1,728 is the answer

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