Nathan is planning to ride his bike for 24 minutes. If he rides at a rate of 3 miles per hour, how far will he travel?

Answer:

x = 10

Step-by-step explanation:

x-sqrt(2x+5) = 5

2x+5 = 25-10x+x^2

x = 10

Hope this helped!

Answer:

x = 5

Step-by-step explanation:

x - 5 = [tex]\sqrt{2x+5}[/tex] ( x > 5)

(x - 5)² = ( [tex]\sqrt{2x+5}[/tex] )²

x² - 10x + 25 = 2x + 5

x² - 12x + 20 = 0

(x - 10)(x - 2) = 0

[tex]x_{1}[/tex] = 10

[tex]x_{2}[/tex] = 2 strange root, does not satisfy the condition x > 5 ( 2 - [tex]\sqrt{2*2+5}[/tex] ≠ 5 )

10 - [tex]\sqrt{2*10+5}[/tex] = 5

10 - 5 = 5

5 = 5

Answer:

2nd answer choice.

Step-by-step explanation:

The inequality is x-5 greater/equal to -2 which if you simplify gives you x>= 3 and since the second answer choice has a filled-in dot which means equal to and the arrow goes to the right which means greater than.

Step-by-step explanation: To solve for x in this inequality,

your goal is the same as it would be if you were solving an

equation, to get x by itself on one side.

Since 5 is being subtracted from x, add 5 to both sides of the inequality.

On the left, the -5and +5 cancel out and on the right, -2 + 5 is 3.

So we have x ≥ 3.

When graphing, start with a closed dot at +3 because x is

not just greater than +3, it's equal to it as well.

Then draw an arrow to the right, like I have done below.

Answer:

(x-1)^2=0#

Explanation:

#x^2-2x+1=0#

Let's start by subtracting #1# from both sides so that the #x# terms are isolated:

#x^2-2x=-1#

Now, let's compute #(b/2)^2# and add it to both sides of the equation:

#(b/2)^2=(-2/2)^2=1#

#x^2-2x+1=-1+1#

Let's factorize the left hand side and simplify:

#(x-1)(x-1)=0#

#(x-1)^2=0#

Answer:

Step-by-step explanation:

[tex]x^2 - 2x = 120\\x^2 - 2x - 120 = 0[/tex]

We have to find the factors of 120 that can either add up to or have a difference of 2.

The factors of 120 are:

[tex]\pm 1, 120, 2, 60, 3, 40, 4, 30, 5, 44, 6, 20, 8, 15, 10, 12...[/tex]

The difference of 10 and 12 is 2. In the equation, since the 2 is negative, the larger number must be subtracted, so the factorized form is:

[tex](x+10)(x-12)[/tex]

Answer: Associative Property of Multiplication

Answer:

Please see the images attached. #2 is the one with three different background colours & three different lines. #3 is the one with one background colour (other than white) and one line.

Step-by-step explanation:

Graph them onto a graphing calculator. Let me know if you need more help!

Answer:

(0,12)

Step-by-step explanation:

As you can see from the chart, when x increases by 10, y increases by 20. We can assume that because of this porportional relationship, when x increases by 1, y will increase by 2. We're looking for the y-intercept, in other words we need to get x to 0. So if we subtract x by 16, we must take 32 away from 44(the y-value), because of this porportional relationship.  That gets us an x value of 0, and a y value of 12. (0,12) would be the y-intercept.

Answer:

Part A - In the graph, point A is at (-2, 4). Point A is in quadrant II of the coordinate plane.

Part B - In the graph, point C is the reflection of point A across the y-axis. The coordinates of C are (2, 4), so C is located in quadrant I.

Step-by-step explanation:

(Got this right off Edmentum so it's correct)

(Oh, one last thing. What you're asking is part B, I just gave the answer to the question before it)

Answer:

n>6

Step-by-step explanation

add two to both sides so far its n/2>3

multiply both sides by 2

n>6

Answer:

x = 1.335

Step-by-step explanation:

2x = 10/3.75

2x = 2.67

x = 1.335

Answer:

well, it really depends but im pretty sure its false. you can start with either one and find the equation

Step-by-step explanation:

Answer:

1/2

Step-by-step explanation:

Answer:

1 5/6

Step-by-step explanation:

Factor the expression

3−2−52+5+6=0

Answer:

Figure R'S'T'U' is the image of the figure RSTU after a translation 2 units left and 2 units down, and a reflection across the y-axis.

Step-by-step explanation:

Transformations

The figure RSTU has been transformed in such a way that it mapped onto the figure R'S'T'U'.

There has been a translation and a reflection. Since the figure and its reflection are above the x-axis, one can guess the reflection is over the y-axis.

Let's reflect point T'(-3,4) over the y-axis. It maps to (3,4). The horizontal distance from this point to the original point T(5,6) is 2 and the vertical distance is 2. Thus, under this assumption, the transformations could be: translate 2 units down, 2 units left, and reflect across the y-axis.

Testing the rest of the points we get the same result, thus the transformations are:

Figure R'S'T'U' is the image of the figure RSTU after a translation 2 units left and 2 units down, and a reflection across the y-axis.

Answer:

(11, 13)

Step-by-step explanation:

Given,

3x - 2y = 7 => (eqn. 1)

y = x + 2 => (eqn. 2)

Substitute y = (x + 2) in eqn. 1.

3x - 2(x + 2) = 7

Use -2 to multiply each term you have in the parentheses. (This is where Carolyn got it wrong)

3x - 2x - 4 = 7 (-2*4 = -4 not +4)

x - 4 = 7

Add 4 to both sides

x = 7 + 4

x = 11

Substitute x = 11 in eqn. 2.

y = x + 2

y = 11 + 2

y = 13

Solution: (11, 13)

Answer:

your answer is the very first one

Step-by-step explanation:

Answer: is 1/2

Step-by-step explanation:

Answer:

The slope for the substance = 7.2 g/mL

Step-by-step explanation:

Given that the density is also the slope relationship between mass and volume and that the density is equal to 7.2 g/mL, therefore, the slope of the equation of the line relating mass to volume is also equal to 7.2 g/mL

The density = Mass/Volume = 7.2 g/mL

The slope of mass volume relationship = (The change in mass)/(The equal change in volume)

Whereby the change is from the zero state, we have;

The slope of mass volume relationship = (Mass - 0))/(Volume - 0) = Mass/Volume

Therefore;

The value of the slope of the substance = The value of the density of the substance = 7.2 g/mL

The value of the slope for the substance = 7.2 g/mL.

Hectogon

In geometry, a hectogon or hecatontagon or 100-gon is a hundred-sided polygon. The sum of all hectogon's interior angles are 17640 degrees.

Step-by-step explanation:

9514 1404 393

Answer:

  17

Step-by-step explanation:

The two base angles are congruent, so we have ...

  x +17 = 4x -34

  51 = 3x . . . . . . . add 34-x

  17 = x . . . . . . . . .divide by 3

Answer:

-5

Step-by-step explanation:

Each number is 5 less than the last.

Answer:

14hrs

Step-by-step explanation:

Answer:

14 hours

Step-by-step explanation:

A. 60

Step-by-step explanation:

ZA + ZB + ZC = 180°

180° ÷ 3 = 60°

Answer:

[tex]\omega_1 = \frac{5Rad}{3s}[/tex] and [tex] \omega_2 = \frac{35Rad}{12s}[/tex]

Step-by-step explanation:

Given that the larger gear is turning at the rate 50rpm. The angular velocity, [tex]\omega_1[/tex], of the larger gear can be calculated as follows:

[tex]\omega_1 = \frac{50rev}{m} [/tex] to convert that to secs, we know that 1 rev = 2πRad and 60secs make a min, so we have:

[tex]\omega_1 = \frac{50rev}{m} \times \frac{2\pi Rad}{1rev} \times \frac{1m}{60s} [/tex]

That gives

[tex]\omega_1 = \frac{100Rad}{60s}[/tex]

Which gives:

[tex]\omega_1 = \frac{5Rad}{3s}[/tex]

This is the angular velocity of the larger gear in rads/sec.

In order to get the angular velocity of the smaller gear, we know from the question that both gear are connected to the same belt. This implies that they have the same linear velocity. Thus let us find the linear velocity of the larger gear. This is given by

[tex]v = r_1 \times \omega_1[/tex] where v stands for linear velocity and [tex]r_1[/tex] for radius of larger velocity.

We are given the radius of the larger gear as 7ft so we have

[tex]v = 7ft \times \frac{5Rad}{3s} = \frac{35ft}{3s}[/tex]

To get the angular velocity of the smaller gear, we use

[tex]v = r_2 \times \omega_2[/tex] where [tex]r_2[/tex] is the radius of the smaller gear which is given as 4.

Since linear velocity is the same, we have

[tex] \omega_2 = \frac{35ft}{4 \times 3s}[/tex]

[tex] \omega_2 = \frac{35Rad}{12s}[/tex]

It is basically an animal which has a backbone that protects the spinal cord.

Answer:

B: y = 5x + 30

Step-by-step explanation:

Answer:

(y+w)(x+2a)

Step-by-step explanation:

im built different

Answer:

(x+2a)(y+z)

Step-by-step explanation:

x(y+z)+2a(y+z)

(x+2a)(y+z)