What is the slope of the line with the equation of y = 3x that passes through the point (2, 4)?
A)1
B)2
C)3
D)4

Answer:

There might be more than one way to approach this one. Here is my way:

In a word problem, always write down the information you have, clearly identifying what any variables represent. If you don't, it could lead to confusion later.

Let's let b represent the speed of the bus. Don't use a different variable for the speed of the car. Since we know it is 10 km/hr faster, let   b+10   represent the speed of the car.

Let t represent the time it takes the bus to travel 200 km.  Since the car takes 1 hour less, use  t-1  to represent the time it takes the car.

Our basic formula for this problem is   distance = rate x time

For the bus,  b·t = 200 km

For the car,  (b+10)·(t-1) = 200 km    Be sure you're clear on these equations. Again, each equation is that vehicles speed times the amount of time it takes. Each vehicle goes 200 km.

If you're sure you understand the two equations, we an go on.

Since both expressions are equal to 200, they are equal to each other, so we can write

    bt = (b+10)(t-1)         Now multiply on the right side, to remove the parentheses. You probably learned the FOIL method in class.

    bt = bt + 10t - 1b - 10        Again, be sure you understand this step before going on. You should do the multiplication yourself to make sure you can do it.

There is a   bt   on both sides of the equation, so subtract  bt  from both sides, to simplify things.

    0 = 10t - b - 10   (I've written b instead of 1b, since 1b is the same as b)

Now we have an equation with two variables in it, so we can't solve it yet. If we go back, we see that bt = 200. If we divide both sides of this by  b , we get   t = 200/b. We can put this expression in place of  t  in our equation.

    0 = 10(200/b) - b - 10

    0 = 2000/b - b - 10

The fraction makes the equation very difficult to work with, so let's multiply both sides of the equation by b, remembering that we have to multiply every term in the equation by b.

    b·0 = b(2000/b) - b·b - b·10

    0 = 2000 - b2 -10b

Let's multiply both sides of the equation by -1 and rearrange the terms. This gives us

    0 = b2 + 10b - 2000   which we can solve by factoring.  You should be able to take it from here. Be sure to answer both questions.

Answer:

8 generations

Step-by-step explanation:

Start with $1 and add 10% per generation until you reach $2. (Multiply by 1.1).

$1

$1.10

$1.21

$1.33

$1.46

$1.61

$1.76

$1.94

$2.12

Answer:

yes

Step-by-step explanation:

Answer:

i have gotten 160.5

Step-by-step explanation:

Answer:

32

Step-by-step explanation:

you need to find out which number is 40% of 80 and to do that you go 40/100 is equal to what (x) over 80-  x/80 and then you cross multiply so 100 times x is 100x = 40 times 80 which is 3200 and then divide 3200 by 100 so you get 32

Answer:

$191.99 is the total cost of Kevin's purchases.

Answer:

191.99

Step-by-step explanation:

Add 12.99 and 54 to get 66.99, then add 125 to 66.99 to get $191.99.

Answer:

s + g = 575

g = 75 + s

g = 325

s = 250

Step-by-step explanation:

Given that :

Total amount earned by Sharon and Geordi = $525

Also, Geordi earned $75 more than Sharon

Let amount earned by Sharon = s

Amount earned by Geordi = g

Equations :

s + g = 575 - - - equation 1

g = 75 + s - - - equation 2

Put g = 75 + s in equation 1

s + 75 + s = 575

2s + 75 = 575

2s = 575 - 75

2s = 500

s = 250

g = 75 + s

g = 75 + 250

g = 325

Answer:

One bag of chips costs $1.10

One can of soda costs $0.50

Step-by-step explanation:

1. Create a system of equations (b = bags of chips | s = soda)

10b + 8b = 15

5b + 5s = 8

2. Use the Elimination method by multiplying 5b+5s=8 by -2

10b + 8b = 15

-2(5b + 5s = 8)

=

10b + 8b = 15

- 10b - 10s = -16

(10b and -10b will cancel out, so you will only have s left)

=

-2s = -1

Divide by 2

Soda = 1/2, or $0.50

3. Plug in S (0.50) into an equation above and get B by itself

5b + 5(0.50) = 8

=

5b + 2.5 = 8

    - 2.5    -2.5

5b = 5.5

Bag of Chips = $1.10

Answer: 84 payments

Step-by-step explanation:

12 • 7= 84

Answer:

52 1/2 miles

Step-by-step explanation:

Hope this helps!

The number of miles she goes per hour is 52.5 miles.

It is the quantity of an amount of something at a rate of one of another quantity.

In 2 hours, a man can walk for 6 miles

In 1 hour, a man will walk for 3 miles.

We have,

105 miles = 2 hours

Divide both sides with 2.

105/2 miles = 1 hour

1 hour = 52.5 miles

Thus,

52.5 miles per hour.

Learn more about unit rates here:

https://brainly.com/question/11258929

#SPJ2

Answer:

no more than 45

Step-by-step explanation:

3k-300 leaves u with 2700/60 and you get 45

Answer:

D. no more of 45

Step-by-step explanation:

i took the quick check

Answer:

maybe 5.5 feet ( half of 11)

Answer:

5/6 -  3/5 =  7/30

Step-by-step explanation:

Calculation steps:

Answer:

Step-by-step explanation: he exercised 2\10 more than Monday

Answer:

4/15

Step-by-step explanation:

there is a total of 15 balls and there is 4 yellow balls

The  probability of picking a yellow ball

Probability is the likelihood or chance that an event will occur.

Probability = Expected outcome/Total outcome

If the bad contains 4 yellow balls 5 red balls and 6 blue balls, the total outcome will be 15 balls

if a yellow ball is selected, the expected outcome will be 4

Pr(selecting a yellow ball) = 4/15

Hence the  probability of picking a yellow ball is 4/15

Learn more here: https://brainly.com/question/13604758

Answer:

it is C 64.8 do you need explanation?

Answer:

Option D

Step-by-step explanation:

y = x - 4

y = -3x

x - 4 = -3x

Subtract x from both sides;

-4 = -4x

Divide both sides by -4

x = 1

Substitute x;

y = x - 4

y = 1 - 4

y = -3

(x, y) = (1, -3)

Answer:

Option A, 1.7

Step-by-step explanation:

Step 1:  Figure out the base

The base of an exponent is the number on the bottom.  For example, if the given choice was [tex]50^{2}[/tex], then the base would be 50.  However, since we are given [tex]1.7^{3}[/tex], then the was would be 1.7

Given:

The volume of water in a tank is modeled by the function

[tex]y=1.15x^3-0.1x^2+2[/tex]

where, x is the number of minutes after the faucet filling the tank is turned on.

To find:

The y-intercept and what does it represent in this context?

Solution:

We have,

[tex]y=1.15x^3-0.1x^2+2[/tex]

Substituting x=0, we get

[tex]y=1.15(0)^3-0.1(0)^2+2[/tex]

[tex]y=0-0+2[/tex]

[tex]y=2[/tex]

Therefore, the y-intercept is 2 and it represents the volume of water in a tank before the faucet filling the tank is turned on.

Answer:

The volume of water in a tank before the faucet filling the tank is turned on.

Step-by-step explanation:

Answer: 160

Step-by-step explanation:

Answer:

14 items

Step-by-step explanation:

21-7=14

Answer:

y= -23

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Answer:

its probably division property if equality

Step-by-step explanation:

because it has division in it

Answer:

-1/5

Step-by-step explanation:

slope can be found with the equation found in the image.

assign each coordinate with the according variable

x1 = 3       x2 = -7    y1 = 2    y2 = 4

and input the values accordingly.

4 - 2 / -7 - 3    PEMDAS (order of operations)

= 2/ -10           Simplify

= 1/ -5        

=-1/5

Answer:

The graph of a direct variation equation is a line through the origin. The slope of the graph of y = ax is a. through the point (4,6). Write the direct variation equation and find the value of y when x =24.

Step-by-step explanation:

Answer:

1.)450.00

2.)336.00

3.)50.40

4.)27.30

Step-by-step explanation:

Answer:

slope = 2

y intercept = ( 0 , -1 )

equation:

y = 2x - 1

Step-by-step explanation:

Answer:

  1/4 cup more

Step-by-step explanation:

1/2 + x = 3/4       ===>       0.5 + x = 0.75

                                        -0.5        -0.5

                                                   x = 0.25

         0.25 = 25/100 = 1/4 cup

Answer:

A should be the answer

Step-by-step explanation: