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3 years ago

Translate this sentence into an algebraic equation.

Mathematics

2 answers:

kondaur [170]3 years ago

5 0

The answer is D, because the question asks for "...the sum of x and 5..." which means that they want x and 5 to be together, so that eliminates every answer choice except D.

sukhopar [10]3 years ago

4 0

Your question states...

Sixteen -------> 16
divided by -------> /
the sum of x and 5 -----> x+5
is 12 ------> = 12

16/x+5 = 12

Answer D

The reason it is NOT answer A is because is says "divided by the sum of x and 5". In the order of operations, division happens before addition, so if it did not say "the sum of", then 16 divided by x (16/x) would happen before adding 5 (like in answer A). But is says "the sum of" so you have to do the addition first.

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Sarah kicked a ball in the air. The function

Aleksandr-060686 [28]

Answer: The ball hits the ground at 5 s

Step-by-step explanation:

The question seems incomplete and there is not enough data. However, we can work with the following function to understand this problem:

$f=30 t- 6t^{2}$ (1)

Where $f$ models the height of the ball in meters and $t$ the time.

Now, let's find the time $t$ when the ball Sara kicked hits the ground (this is when $f=0 m$ ):

$0=30 t- 6t^{2}$ (2)

Rearranging the equation:

$6t^{2}-30 t=0$ (3)

Dividing both sides of the equation by $6$ :

$t^{2}-5 t=0$ (4)

This quadratic equation can be written in the form $at^{2}+bt+c=0$ , and can be solved with the following formula:

$t=\frac{-b \pm \sqrt{b^{2}-4ac}}{2a}$ (5)

Where:

$a=1$

$b=-5$

$c=0$

Substituting the known values:

$t=\frac{-(-5) \pm \sqrt{(-5)^{2}-4(1)(0)}}{2(1)}$ (6)

Solving we have the following result:

$t=5 s$ This means the ball hit the ground 5 seconds after it was kicked by Sara.

6 0

3 years ago

Fill in the blank.

natima [27]

The correct answer is: Commutative Property

Further Explanation:

The commutative property states that the order of number doesn't matter and changing the order of numbers or variables will produce the same result.

<u>Commutative Property of Addition:</u>

The Commutative Property of addition means that an expression can be written as a + b = b + a.

<u>Commutative Property of Multiplication:</u>

The Commutative Property of multiplication means that an expression can be written as a • b = b • a

Hence, the correct answer is: Commutative Property

Keywords: Commutative property, addition, multiplication

Learn more about Properties at:

#LearnwithBrainly

4 0

3 years ago

A square sheet of art paper has an area of 625 square inches. What is the minimum side length of an easel that supports the whol

Mila [183]

If the area of the paper is 625 sq in, the length of one side of this square is sqrt(625 sq in), or 25 inches. That's the min. side length of an easel that is to support the whole sheet of paper along its lowest side.

7 0

3 years ago

Read 2 more answers

Please awnser and make sure it’s to

AlekseyPX

Answer:

the third one

Step-by-step explanation:

5 0

2 years ago

Read 2 more answers

It says solve for the variable can you explain

jeyben [28]

Answer:

x = 9

Step-by-step explanation:

Since we know that the triangle is a right triangle we also know that the angle would be 90 degrees

However we are only given 56 and 3x+7

Let 3x+7 be u

We know that 56+u=90 so solve for u

u=90-56

u = 34

Now u = 3x + 7 so,

3x + 7 = 34

solve for x,

3x=34-7

3x=27

x=27/3

x=9.

5 0

2 years ago