integers - any ___ number or its opposite

number line - a ____ that represents all of the real numbers

Answer:

Step-by-step explanation:

x

2

+

4

x

+

3

x

2

+

4

x

+

3

The equivalent expressions to the given expression -2.7 + (-3.1) are:

So, the expression: -2.7 + (-3.1)

Then, the expressions equivalent to this expressions are:

Therefore, the equivalent expressions to the given expression -2.7 + (-3.1) are:

Know more about expressions here:

https://brainly.com/question/723406

#SPJ9

7 liter = 7000000 cubic millimeters

Answer:

6

Step-by-step explanation:

we can use cross multiplication

so, X is:

so Dwight can drive 180 milles fior 3 gallons

Answer:

\(\sqrt{(-\frac{806}{94}+8)^2+(-\frac{215}{94}-9)^2+ (-\frac{251}{94}-8)^2}\) Whatever this number may be

Step-by-step explanation:

The distance will be on the plane containing the point, and perpendicular to the line - which exists as long as the point doesn't sit on the line, but in that case our distance will simply be zero. Good news, since the line is given in parametric equation, the equation of the plane is easy to write by simply computing the dot product between the vector generating the line - or any multiple of it! - and the vector joining a random point x y z of the space with our given point, and setting it equal to zero. The equation of our plane is thus

\(6(x-(-8)) + 3(y-9) -7(z-8) = 0\\6(x+8)+3(y-9)-7(z-8)=0\)

We could multiply now or later, doesn't matter, so let's wait. Now, we need to know when the line passes through the plane, so let's plug the (parametric) coordinate of the line and let's see for which value of t that happens:

\(6(-2-6t+8) +3(1-3t -9) -7(-5+7t-8) =0\\6(6-6t) -3(8+3t)+7(13-7t)=0\\36-36t-24-9t+91-49t = 0\\t=103/94\)

Found this value of t, we can use it to find the coordinate of the point in common between the line and the plane:

\((-2-6\frac {103}{94};1-3\frac {103}{94}; -5+7\frac {103}{94}) = (-\frac{806}{94};-\frac{215}{94};-\frac{251}{94})\)

At this point it's simply a matter of calculating the distance between two points in 3D space, given by the usual \(\sqrt{\Delta x^2+\Delta y^2+\Delta z^2}\), whatever abomination of a number it might become:

\(\sqrt{(-\frac{806}{94}+8)^2+(-\frac{215}{94}-9)^2+ (-\frac{251}{94}-8)^2}\)

At this point is a simple exercise in number crunching which I refuse to entertain more - but please double check all calculation above in case I didn't notice something.

Answer: 47.5

Step-by-step explanation:

Given

2x-10+x+x=180

combine like term x      

       4x-10=180

addition property of equality (add 10 on both sides)

             4x=190

division property (divide 4 on both sides)

               x=47.5

Hope this helps!! :)

Please let me know if you have any question or need any further explanation

Answer:

your answer will be 47.5

Daniella: Were you thinking of perpendicular lines?

Ori: It seems like you've got the basic idea, but your definition could be more precise.

Kaori: Yes! Well done. Here, have a cookie. You've earned it.

Answer:

It's 1 inch higher than the limit

Step-by-step explanation:

Answer:

1 1/2

Step-by-step explanation:

The power of man weight 40 m in 15 min is 394.8 N x distance / 900 seconds the distance is not provided in the question, so it's impossible to calculate the power.

To learn more about power refer:

brainly.com/question/1634438

#SPJ1

The angle m∠JIX is 90 degrees.

IX is perpendicular to IJ. Therefore, angle m∠JIX is 90 degrees.

IG bisect CIJ. Hence,

m∠CIG ≅ m∠GIJ

Therefore,

m∠CIX = 150 degrees

Hence, let's find m∠JIX.

Therefore, m∠JIX is 90 degrees because IX is perpendicular to IJ. Perpendicular lines forms a right angle.

learn more on angles here: brainly.com/question/18854964

#SPJ1

The measure of angle m∠JIX is  estimated to be 90⁰.

You should understand that an angle is a figure formed by two straight lines or rays that meet at a common endpoint, called the vertex.

IX is perpendicular to IJ. Therefore, angle m∠JIX is 90⁰.

Frim the given parameters,

IG⊥CIJ.

But;  m∠CIG ≅ m∠GIJ

⇒ m∠CIX = 150⁰

Hence, let's find m∠JIX.

Therefore, m∠JIX is 90⁰ because IX is perpendicular to IJ. Perpendicular lines forms a right angle.

Learn more about bisecting of angles on https://brainly.com/question/23984603

#SPJ1

Step-by-step explanation:

x(midpoint) = a+b/

x= -2,5+2,5/2

x=0/2

x=0

Answer:

Ig its 22:3

Step-by-step explanation:

First we add all the gifts and put it in the ratio and the other is 3 dvds

According to the information, the vertex at the top left of the parallelogram is (4, 8.25). Thus, the other two vertices of the parallelogram are (2, 5), (9, 5), (7, 8), and (4, 8.25).

To find the vertex of the parallelogram we can use the point-slope form of a line: y - y1 = m(x - x1), where,

For the side sloping up from left to right, we can use the point (2, 5), since it is on the bottom side of the parallelogram. Plugging in the values, we get:

Simplifying, we get:

To find the point where this line intersects the top side of the parallelogram, we can use the fact that the length of the sloping side is 5 units. We know that the endpoint of the bottom side at (2, 5) is 5 units away from the intersection point in the x-direction, so we can add 5 to the x-coordinate to find the intersection point. Plugging in x = 7 into the equation above, we get:

Therefore, the vertex at the top right of the parallelogram is (7, 8).

For the side sloping down from left to right, we can use the point (9, 5), since it is on the bottom side of the parallelogram. Plugging in the values, we get:

Simplifying, we get:

To find the point where this line intersects the top side of the parallelogram, we can again use the fact that the length of the sloping side is 5 units. We know that the endpoint of the bottom side at (9, 5) is 5 units away from the intersection point in the x-direction, so we can subtract 5 from the x-coordinate to find the intersection point. Plugging in x = 4 into the equation above, we get:

Learn more about parallelograms in: https://brainly.com/question/29147156

#SPJ1

The two students that mix the same ratio of juice to water is given as follows:

A. Luca.

D. Micah.

The ratio between two amounts a and b is given as follows:

a to b.

Which is also the division of the two amounts.

Hence the ratio of juice to water for each person is given as follows:

Hence Luca and Micah used the same ratio, meaning that options A and D are correct.

More can be learned about ratios at brainly.com/question/24372153

#SPJ1

Answer:

Step-by-step explanation:

24-10=14 yards remaining after giving 10 to her sister

14/ 1 1/2 = 9.33333

THEREFORE SHE CAN DO 9 PROJECTS AT MAX

The class width used for the frequency distribution is 6.

The class midpoint for the class 23-29 is 26.

The class midpoint for the class 30-36 is 33.

The class midpoint for the class 37-43 is 40.

To find the class width of the frequency distribution, we need to determine the range of each age class. The range is the difference between the upper and lower boundaries of each class. Looking at the table, we can see that the class boundaries are as follows:

23-29

30-36

37-43

For the class 23-29, the lower boundary is 23 and the upper boundary is 29. To find the class width, we subtract the lower boundary from the upper boundary:

Class width = 29 - 23 = 6

So, the class width for the frequency distribution is 6.

To find the class midpoint for each class, we take the average of the lower and upper boundaries of each class.

For the class 23-29:

Class midpoint = (23 + 29) / 2 = 52 / 2 = 26

For the class 30-36:

Class midpoint = (30 + 36) / 2 = 66 / 2 = 33

For the class 37-43:

Class midpoint = (37 + 43) / 2 = 80 / 2 = 40

So, the class midpoint for the class 23-29 is 26, for the class 30-36 is 33, and for the class 37-43 is 40.

For more such questions on class width visit:

https://brainly.com/question/30459609

#SPJ8

No, the expression (x^3 - 1) / (x^2 - 1) does not simplify to x.

To simplify the expression, let's first factorize both the numerator and denominator.

The numerator can be factorized using the difference of cubes formula: a^3 - b^3 = (a - b)(a^2 + ab + b^2). So, we have (x^3 - 1) = (x - 1)(x^2 + x + 1).

The denominator is a difference of squares: a^2 - b^2 = (a - b)(a + b). Therefore, (x^2 - 1) = (x - 1)(x + 1).

Now, we can simplify the expression by canceling out the common factors in the numerator and denominator:

[(x - 1)(x^2 + x + 1)] / [(x - 1)(x + 1)]

The (x - 1) terms cancel out, leaving us with:

x^2 + x + 1 / (x + 1)

So, the simplified form of the expression is (x^2 + x + 1) / (x + 1), which is not equal to x.

Know more about numerator here:

https://brainly.com/question/1217611

#SPJ8

The constant of proportionality for the relationship between x and y is 1.5 respectively.

If the corresponding elements of two sequences of numbers, frequently experimental data, have a constant ratio, known as the coefficient of proportionality or proportionality constant, then the two sequences of numbers are proportional or directly proportional.

To get the value of "k" in direct proportionality, use the equation b = ka.

K = b/a is the result of this equation. mentioning indirect proportion To determine the value of "k" in indirect proportionality, use the equation b = k/a.

So, the formula to find the constant of proportionality:

k=y/x

Now,

Insert values as follows:

k=y/x

k=0.750/0.50

k=1.5

Therefore, the constant of proportionality for the relationship between x and y is 1.5 respectively.

Know more about the constant of proportionality here:

https://brainly.com/question/27598477

#SPJ1

Answer:answer c

Step-by-step explanation:

The length of side AB is about 5.87 units.

The triangle ABC is a right angle triangle. A right angle triangle is a triangle that has one of its angles as 90 degrees.

Therefore, let's find the length AB in the right triangle.

Using trigonometric ratios,

cos 33 = adjacent / hypotenuse

Therefore,

Adjacent side = AB

hypotenuse side = 7 units

cos 33° = AB / 7

cross multiply

AB = 7 cos 33

AB = 7 × 0.83867056794

AB = 5.87069397562

AB = 5.87 units

learn more on right triangle here: https://brainly.com/question/30966657

#SPJ1

The following form has two parallel sides, and, in accordance with the provided assertion, its area is 21 cm².

Area is the entire amount of space occupied by a flattened (2-D) surface or form of an item. The area of a planar figure is the space that its perimeter encloses. The quantity of unit rectangles that completely encircle a closed figure's surface is its area. Square units such as cm² and m² are used to measure area.

The ratio will also be 1/2 * (bases 1 + base 2) * length since it is a trapezium.

So, 1/2 * ( 9+5) * 3

   = 1/2 * 14 * 3

   =  1/2 * 42

   =  21 cm²

To know more about Area visit:

https://brainly.com/question/17335144

#SPJ1

In this prooof, we need to complete the 8th step to simplify the expression.

We are given:

Combining like terms on the left-hand side, we get

Subtracting the d squared term from each side, we have:

Next, we subtract the e squared term from each side:

Finally, we divide by -2 on each side:

Since d represents the slope of line AB and e represents the lope of line BC, we show that the slopes multiplied together give us -1.

Answer:

no

Step-by-step explanation:

In 3 weeks he rides 53 miles. In 6 weeks he rides 106 miles but since he rides 106 - 27 = 79 miles (which is less than 100) in 5 weeks the answer is no.

Answer:

y = -2/3x-10/3

Step-by-step explanation:

Y= -2/3x+4

This is in slope intercept form

y = mx+b where m is the slope and b is the y intercept

The slope is -2/3

Parallel lines have the same slope

y = -2/3 x+b

Substitute the point into the equation

-2 = -2/3 (-2) +b

-2 = 4/3 +b

Subtract 4/3 from each side

-6/3 -4/3 = 4/3 -4/3 +b

-10/3 = b

y = -2/3x-10/3

We get the cost of the system and cost of the games  as $126 and $378 respectively.

Given, the price of the video game and several games are sold for $504.

The cost of the game is 3 times as much as the cost of the system.

we need to determine the cost of the system and the cost of the game = ?

Let x = the cost of the games.

Let y = the cost of the system.

therefore, x+y=504

and y = 3x

substitute the value of y.

⇒ x + y = 504

⇒ x + 3x = 504

combine like terms.

⇒ 4x = 504

Divide both sides by 4.

⇒ x = 504/4

⇒ x = 126

The cost of the system is $126.

Use y = 3x substituting 126 for x.

g = 3(126)

g = 378

The cost of the games is $378.

Hence we get the cost of the system and cost of the games as $126 and $378 respectively.

Learn more about Linear equations here:

brainly.com/question/4074386

#SPJ1

Answer:

Step-by-step explanation:

0.05

Answer:

a) about 190 acres

b) around 240 acres

c) exponential decay because the amount of land available is decreasing at an increasingly rapid rate over time.

² = QR² - QT²

= 13² - 5²

= 169 - 25

= 144

TR = √144

TR = 12 cm

Menentukan panjang PR

PR = 2 × TR

= 2 × 12 cm

PR = 24 cm