is 6.458 a rational number

Answer:

  a. -6

  b. -(-6) or 6

  c. -6

  d. 8 -(-8)

Step-by-step explanation:

The opposite of something is that something preceded by a minus sign (or with its minus sign removed).

a. the opposite of 6 is -6

b. the opposite of -6 is -(-6) or 6

c. negative 6 is a description of the integer -6

d. 8 minus negative 8 is 8 - (-8)

Answer:

20 seconds.

Step-by-step explanation:

Divide 4000 by 200.

Answer:

>34.88km/h

Step-by-step explanation:

Because we have two unknown values in this question (speed of train and speed of car), we will need two equations to solve it.

Firstly, we can make a big equation for time in terms of the vehicle speeds. Time = distance / speed, so if we use t for the train speed and c for the car speed, we get this equation for speed:

30/c + 90/t = 2.5

Here the 30 is the distance traveled by the car in km and the 90 is the distance traveled by the train in km (120 - 30 = 90).

We also know that the train speed was 20km/h faster than the car speed so our second equation is:

c + 20 = t

So now we can substitute this in the big equation so we only have one variable to solve for:

30/c + 90/(c+20) = 2.5

Now to solve this, this first step is to get rid of the fractions, which we can do by multiplying all the terms by the lowest common factor of the two denominators which is c(c+20):

(30/c)*c(c+20) + (90/c+20)*c(c+20) = 2.5

This simplifies to:

120c+600=2.5c^2+50c

and then into the quadratic equation:

2.5c^2-70c-600=0

This can be solved with the quadratic formula or a solver/calculator, and yields the solutions:

c=−6.88, 34.88 (both to 2dp)

We can eliminate the negative solution because speed cannot be negative meaning that Rosea must drive her car at the speed of at least/greater than 34.88km/h if she wants the total trip to be less than 2.5 hours.

Hope this helped!

$162.50 because if you add the percentages together, you get 35%

If you subtract 35% off of 250, you get 162.50

Answer:

0.54

Step-by-step explanation:

6 divided by 11 is 0.54-non-terminating therefore we get 0.54

Answer:

0.5455

Step-by-step explanation:

Plz choose mine as brainliest

Answer:

12 units right 6 units down

Answer:

12x+6

Step-by-step explanation:

(4x+3)+(4x+3)+(2x)+(2x)

4+4+2+2=12, 3+3=6

12x+6

Answer:

A: 2x-1

Step-by-step explanation:

Graph it. if you plug in the x and y of (1,1)

1= 2(1)-1

1=2-1

correct

Answer: A

Step-by-step explanation:

Since we are given the slope, all we have to do is use the given point to find the y-intercept.

y=2x+b                 [plug in (1,1)]

1=2(1)+b                [multiply]

1=2+b                   [subtract both sides by 2]

b=-1

Now, we know the equation is y=2x-1.

Answer:

11 hours and 22 minutes

Answer:

Step-by-step explanation:

(9 + 5)/2= 14/2= 7

(-4 + 5)/2= 1/2

(7, 1/2) Coordinates of Midpoint M

Answer:  [tex]\{y | \ y \in \mathbb{R}, \ y \ge 0\}[/tex]

This translates to "y is any real number such that it is 0 or larger".

The reasoning is that the result of any absolute value function is either 0 or positive. In other words, we'll never get a negative result of an absolute value function. This is due to how absolute value represents distance. Negative distance does not make sense.

So if y = |x-3| then y = 0 is the smallest output possible. We could have any positive output we want.

In terms of a graph (see below), the V shape is at the lowest point (3,0). The y coordinate is all we care about in terms of finding the range. So we see the lowest y value is y = 0.

Answer:

x ≥ 0

y ≥ 0

x + y ≥ 5

29.50 × x + 43.00 × y ≤ 200

= 29.50x + 43y ≤ 200

Step-by-step explanation:

From the question we are told that:

If x and y represent the number of tickets Paige purchased for the 2 types of seats, Paige would like to attend at least 5 concerts.

The inequalities that models the situation above is given as:

x ≥ 0

y ≥ 0

x + y ≥ 5

Also from the question, we were told that: There are two types of seats at the concerts, which are priced at $29.50 and $43.00. Paige would like to attend at least 5 concerts and spend no more than $200.

The inequalities that models the situation above is given as:

29.50 × x + 43.00 × y ≤ 200

29.5x + 43y ≤ 200

Therefore, the system of inequalities that could Paige use to model this situation is:

x ≥ 0

y ≥ 0

x + y ≥ 5

29.50 × x + 43.00 × y ≤ 200

= 29.5x + 43y ≤ 200

Answer:

d) x ≥0

y ≥ 0

x + y ≥ 5

29.5x + 43y ≤ 200

Step-by-step explanation:

Answer:

see explanation

Step-by-step explanation:

A = s × s = s²

Given s = 7 , then

A = 7² = 49 in²

Answer:

175

Step-by-step explanation:

Answer:

[See Below]

Step-by-step explanation:

✦ Given that [tex]1=8\frac{1}{3}[/tex] all you have to do is multiply:

So [tex]x=250[/tex].

~Hope this helps Mate. If you need anything feel free to message me.

Step-by-step explanation:

Let x equal the width of the box and x + 15 equal the length of the box.  Subtract 6 (the amount cut out) from both of the these to get the following terms: (x+9) and (x-6).  These are the length and width of the box respectively.  We also know that the height of the box is 3.  Plugging these into the formula for the volume of a box gives you:

3(x+9)(x-6)=1092

Expanding this out gives:

3x^2+9x-162=1092

Subtract 1092 from both sides to make the quadratic equation equal zero.  Plug the a, b and c coefficients into the quadratic formula (or factor) to find x.

3x^2 +9x-1254 = 0

a = 3       b = 9        c = -1254

I hope this helps :)

Answer:

B,C,D,E,A

Step-by-step explanation:

Btw, Mr. Stokes from RTMS?

Answer:

Option (d) is wrong.

Step-by-step explanation:

Slope is:

It can be given by mathematically as follows :

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}\\\\\text{and}\\\\m=\dfrac{dy}{dx}[/tex]

Hence, the option which is not a description of slope is (d) "the ratio of horizontal change compared to vertical change"

Answer:

(3x)-20

Step-by-step explanation:

Answer:

3x-20

Step-by-step explanation:

You just collect like terms. you add -5x + 8x = 3x and -12+-8 =-20

Answer: 60

Step-by-step explanation:

Since AB and BC creates AC, we can add them together to find x, then use that to find the value of BC.

8x+9+6x+6=141                  [combine like terms]

14x+15=141                          [subtract both sides by 15]

14x=126                               [divide both sides by 14]

x=9

Now that we have found the value of x, we can plug that into BC.

6(9)+6                                 [multiply]

54+6                                   [add]

60

Now, we know the length of BC is 60.

Answer:

60

Step-by-step explanation:

Answer:

-A

Step-by-step explanation:

A has all lengths exactly half

Step-by-step explanation:

1 km is equal to 100,000 cm.

58,795 is close to 50,000, which is half of 100,000. So our estimate would be 1/2 km to 50,000 cm.

Convert 58,795 to a decimal.

0.58795

The decimal cannot be simplified so there is

0.58795 km in 58,795 cm

Hope it helps!

Answer:

2⋅(3x−2)

Step-by-step explanation:

Answer:

5x+3y, when x=4 and y= -3

5(4)+3(-3)=

20+ (-9)=

11

Step-by-step explanation:

Hope this helps. :)

Answer:

5x + 3y = 11

Step-by-step explanation:

x = 4 y = -3

=5x + 3y

=5(4) +3(-3)

=20 + (-9)

=11

When a number and variable are right beside each other it means that the number and the variable are being multiplied together, for example 5x. If x = 4 then it means that 5 and 4 are being multiplied.

(it might be wrong because I haven't done algebra in a long time)

Answer:

$100

Step-by-step explanation:

Answer:

$100

Step-by-step explanation:

She will earn $100 because since 20 is just 10 times 2, she will earn half as much as she did in 20 hours. 200/2 is 100.

Answer:

y=14-8x

x= -2 + 3y/9x

Step-by-step explanation:

8x+y=14

isolate y so you get:

y=14-8x

-9x+3y=18

isolate x so you get:

-9x=18-3y

divide on both sides to get x by itself

-9x/-9x  18-3y/-9x

x= -2 + 3y/9x

Hope this helps :)

the answers are A, D, and E

The problem can only be easily solved if the values are either all converted to fractions or all converted to decimal.

The steps that could be used  to subtract a negative fraction from a positive decimal are;

It is important that the both values are converted either to fraction or to decimal for ease of computation.

After this step is done, the negative number can now be added to the negative number and the result is recorded.

Learn more: https://brainly.com/question/13042975