the area of a rectangle is given by the trinomial 10×² - 31x-14. The length of the rectangle is 5x+2. What is the expression for the width of the field.

Answers

Answer 1

Answer: $10x^2 - 31x-14=10x^2+4x-35x-14=2x(5x+2)-7(5x+2)=\n\n=(5x+2)(2x-7)\n\nD:\ \ 5x+2>0\ \ \ and\ \ \ \ \ 2x-7>0\n.\ \ \ \ \ \ 5x>-2\ \ \ \ \ \ and\ \ \ \ \ 2x>7\n.\ \ \ \ \ \ \ x>-(2)/(5)\ \ \ \ \ \ and\ \ \ \ \ \ x>3 (1)/(2) \n\nD=(3 (1)/(2);\ +\infty)\n\nAns.\ \ The\ width\ is\ \ \ \ 2x-7$

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2 thousands 7 tens divided by 10 equal

Answers

The answer is 207 or 2 hundreds 7 ones in unit form or two hundred seven in word form.

Further explanation

2 thousands 7 tens are a unit form. The standard form is 2,070.

Explanations and an example of questions about the four types of number forms can be found at brainly.com/question/4725342.

The key problem is working out the value of 90,000 divide by 10. This is a division operation.

$\boxed{2,070 / 10 = ?}$

Option-1

Both numbers are divided by 10.

$\boxed{2,070 / 10 = 207 / 1}$

The result is

$\boxed{2,070 / 10 = 207}$

Option-2

Division operations can be written as fractions, like this.

$\boxed{(2,070)/(10) = ?}$

The numerator and denominator are both divided by 10, or 'cross out a zero from both'.

$\boxed{(207)/(1) = ?}$

The result is

$\boxed{2,070 / 10 = 207}$

- - - - - - -

If x is divided by y equals z, then x is equal to y multiplied by z.

$\boxed{If \ x / y = z \ or \ (x)/(y) = z, then \ x= y * z}$

Let's prove it!

$\boxed{If \ 2,070 / 10 = 207 \ or \ (2,070)/(10) = 270, then \ 2,070 = 10 * 207}$

This is proven.

Learn more

Explanations and an example of a question about the four types of number brainly.com/question/4725342
5000 is ¹/₁₀ of what? brainly.com/question/106300
9 ten thousands divided by ten? brainly.com/question/545132

Keywords: 2 thousands 7 tens divided by 10, division operation, unit form, standard form, fractions, cross out a zero, the numerator and denominator

Final answer:

The question '2 thousands 7 tens divided by 10 equals' questions a simple concept in Mathematics. We convert 2 thousands 7 tens to 2070 and when we divide this number by 10, we get 207.

Explanation:

First, let's convert 2 thousands 7 tens to a numerical representation. This amounts to 2000 + 70 = 2070. When we divide 2070 by 10, we are essentially moving the decimal one place to the left, as division by 10 means reducing each digit's place value by one. Hence, the answer would be 207.

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I don’t understand how to solve it

Answers

Answer:

$3.19

Step-by-step explanation:

so he starts with $18.90 and we know that he spent $2.95. So we will subtract $2.95 from $18.90. So we are left with $15.95. But now its says he bought 5 items with $15.95. So we will divide 15.95 by 5. So the price of the item that he bought 5 of is $3.19

If you are at a higher level you can use this method:

make and equation of: 5x + 2.95 = 18.90

with this you would subtract 2.95 and then divide by 5 just like we did above.

Answer:

d. 15.95

Step-by-step explanation:

So if one item cost $2.95 and he bought 5 other items that were the same price, we first have to subtract $2.95 from the total which is $18.90.

18.90 - 2.95 = 15.95

Now, to find the cost of the other five items we divide the amount of money left by 5.

15.95 / 5 = 3.19

So each of the other five items costs $3.19.

To find the total cost of the five items together, we multiply 3.19 by 5.

3.19 x 5 = 15.95

Explain how algebra tiles represent like terms and zero pairs

Answers

Final answer:

Algebra tiles visually represent like terms by using the same tiles to represent the same variables or numbers. Zero pairs are represented by combining a positive and negative tile to represent 'zero', which is crucial in simplifying expressions or solving equations.

Explanation:

In mathematics, specifically in algebra, algebra tiles are a visual tool that are often used to teach concepts. These tiles usually include small squares to represent the number 1, bars to represent variables, and large squares to represent squares of variables.

They are used to represent like terms, which in algebra are terms that contain the same variables raised to the same power. For instance, if you have 3x and 2x, these can be considered like terms because they both contain the variable 'x'. In the context of algebra tiles, you would use three 'x' bars to represent 3x and two 'x' bars to represent 2x.

On the other hand, zero pairs are pairs of numbers that combine to give zero. Using algebra tiles, a zero pair can be represented by placing a positive tile and a negative tile together, which would cancel each other out, effectively representing 'zero'. This concept is important when simplifying expressions or solving equations.

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A box contains only sliver tokens and gold tokens. Clarisse reached into the bag without looking, got 60 tokens, and found that 48 of the tokens were silver. Clarisse is going to reach in the box again and get one more token. What is the experimental probability that the token will be silver? A. 1/48 B. 2/5 C. 1/2 D. 4/5

Answers

The experimental probability in this problem is given by the total amount of silver coins Clarisse pulled over the total amount of coins Clarisse pulled.

She pulled 48 silver coins out of the 60 she pulled in total. Set up a fraction:

$(48)/(60)$

This fraction can be simplified by dividing both the numerator and denominator by 12:

$(48)/(60) / (12)/(12) = (4)/(5)$

The experimental probability of pulling another silver token is 4/5.

Final answer:

The experimental probability of Clarisse picking a silver token from a box is the ratio of the number of silver tokens picked (48) to the total number of tokens picked (60), which simplifies to 4/5. Therefore, the correct answer is option D.

Explanation:

The question asks about the experimental probability of picking a silver token from a box after Clarisse already picked 60 tokens, of which 48 were silver. Experimental probability is determined by conducting an experiment and recording the results. The experimental probability of an event is the ratio of the number of times the event occurred to the total number of trials.

The number of silver tokens Clarisse picked is 48, and the total number of tokens she picked is 60. So, the experimental probability of picking a silver token is 48/60. This could be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 12, resulting in 4/5. Therefore, the experimental probability of picking a silver token is 4/5, or in other words, option D is correct.

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3. Ron used 24 cubes to make this 3-step staircase. If he uses a total of 84 cubes to make a similar staircase, how many steps will the staircase have?

Answers

Divide 24 by 3 to figure out how many cubes are in 1 step (24/3=8). Now divide 84 by 8 to figure out how many steps he built with 84 cubes (84/8=10.5). Ron's second staircase has 10 and a half steps :)

28 steps because 84 divided by 3 equals 28

Find the equation of the axis of symmetry for the parabola y=x^2-2x