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3 years ago

An integer minus 5 times its reciprocal is 76 9 What is the integer?

1 answer:

4 0

Answer: The only one of these that's an integer is 9.

Explanation: Let X be the integer. Then

X - 3/X = 26/3. Multiplying by 3X on both sides:

3X^2 - 9 = 26X

3X^2 - 26X - 9 = 0

X = (26 +/- SQRT(26^2-(4*(-27))))/6 = (26 +/- 28) / 6,

so the two solutions for X are 1/3 and 54/6 = 9.

You might be interested in

7y + 4x + 4 - 2x + 8 what is the constant

N76 [4]

4 and 8::::::: because they have no variable u can add 4 and 8 which would be 12

3 0

3 years ago

Evaluate 7+5^2*4 <br> Algebra 1

vagabundo [1.1K]

Hi there!

<em><u>Answer:</u></em>

<em><u>*The answer must have a positive sign.*</u></em>

Step-by-step explanation:

<h2><u>Lesson: Order of operations</u></h2>

Parenthesis

Exponents

Multiply

Divide

Add

Subtract

It can also go left to right.

First, you do exponents.

$5^2=5*5=25$

$7+25*4$

Then, you multiply from left to right.

$25*4=100$

Finally, you add from left to right.

$100+7=107$

I hope this helps you!

Have a nice day! :)

-Charlie

8 0

2 years ago

Read 2 more answers

A triangular prism has an equilateral base with side length x inches. The height of the prism is four times as long as the side

crimeas [40]

The area of the prism is 12x² inches². Thus, the correct option is B.

<h3>What is a triangular prism?</h3>

Suppose you've got a triangle. Now, stretch it up so as to make a stack of triangles up above another. This new 3d object is called a triangular prism.

Usually, when we talk about a triangular prism, we talk about the triangular prism, whose stack goes straight up, thus, we talk about a right triangular prism.

For a prism, the lateral sides of a prism are made up of rectangles which consist of the height and the length of the base. Therefore, a triangular prism has an equilateral base with a side length x inches. The height of the prism is four times as long as the side length. The lateral area will be,

Lateral Area = 3(x×4x) = 12x² inches²

Hence, the area of the prism is 12x² inches². Thus, the correct option is B.

Learn more about the Lateral surface area of triangular prisms:

brainly.com/question/15434771

#SPJ1

5 0

2 years ago

1. Identify the list that places these numbers in order from largest to smallest:

Galina-37 [17]

1. D none of the above.
2. A 5.43, 5.62, 5.74
3. A 75%
4. A 87.5%
5. A 0.7
6. B between 0.5 and 1.0

5 0

3 years ago

As James bought his textbooks for classes one semester, he estimated the cost to the nearest ten dollars. He knew he could cover

TEA [102]

Answer:

$310

Step-by-step explanation:

The first step is to add the costs of the textbook together :

$68.41 + $105.35 + $72.49 + $59.91 = $306.16

In order to round off to the nearest ten dollars, look at the units figure, if the number is greater or equal to 5, add 1 to the ten figure. If this is not the case, add zero. Replace the unit digit with zero

The unit digit is greater than 6, so 1 is added to the tens digit. The amount becomes $310

8 0

2 years ago