A car dealer just took delivery on forty new cars. He plans to put four of these cars on display at the front of the lot. In how many ways can the dealer combine four of the forty cars if order is not important? A.1,096,680 B.45,695 C.91,390 D.2,193,360

Answer:

1) Get rid of grouping symbols like square brackets and parentheses

2) Simplify both sides of the equation. Combine like terms if possible.

3) Choose where you want to keep the variable because that will help you decide where to place the constant.

4) Eliminate numbers or variables by using opposite operations. Remember that addition and subtraction are opposites and so are multiplication and division.

Step-by-step explanation:

Answer:it is 5/7

Step-by-step explanation: the formula for slope is rise/run divide and you get 5/7

Answer:

slope = [tex]\frac{5}{7}[/tex]

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (2, - 2) and (x₂, y₂ ) = (9, 3)

m = [tex]\frac{3+2}{9-2}[/tex] = [tex]\frac{5}{7}[/tex]

Answer:

887/990

Step-by-step explanation:

0.8959595....

895.95 - 8.95 = 887

1000 - 10 = 990

Answer:

[tex]\huge\boxed{x = \frac{887}{990}}[/tex]

Step-by-step explanation:

The number given is 0.895..........

Let x = 0.895........

Then

10x = 8.95.......   --------(1)

1000x = 985.95........   --------(2)

Subtracting (1) from (2)

1000x - 10x = 985.95..... - 8.95......

990 x = 887

Dividing both sides by 990

[tex]x = \frac{887}{990}[/tex]   (In simplest form)

Answer:

two feet cubed

Step-by-step explanation:

Answer:

no

Step-by-step explanation:

Answer:

no

Step-by-step explanation:

Answer:

-18

Step-by-step explanation:

x2 - y2 - z2 if x=-2, y=3, and z=4

x2 - y2 - z2

(-2) 2 - (3)2 - (4)2

(-4) - (6) - (8)

-10 -8

-18

Answer:

18

Step-by-step explanation:

Answer: The same number of tickets was sold on the fourth day and tenth day.

Step-by-step explanation:

Given, T(d) is a function that relates the number of tickets sold for a movie to the number of days since the movie was  released.

The average rate of change in a function with respect to the independent variable gives the value of change in a particular period.

If average rate of change in T(d) for the interval d = 4 and d = 10 is  is 0 , that means nothing has been changed in the number of tickets sold on 4th day and 10th day after the film release.

Hence, the correct statement is "The same number of tickets was sold on the fourth day and tenth day."

The correct option is (A).The same number of tickets was sold on the fourth day and tenth day.

Given,

T(d) is a function that relates the number of tickets sold for a movie to the number of days since the movie was released.

The Average rate of change in T(d) for the interval  d = 4 and d = 10 is 0.

We have to find which statement is true.

Since the average rate of change in T(d) for the interval d = 4 and d = 10 is 0, it means nothing has been changed in the number of tickets sold on day 4 and day 10 after the film release.

Hence, the correct statement is The same number of tickets was sold on the fourth day and tenth day.

Thus The correct option is A.

For more details follow the link:

https://brainly.com/question/8011401

Answer:

$319.93

Step-by-step explanation:

We can find the total cost of the game system by multiplying the price before tax by 1.07.

299(1.07) = 319.93

= $319.93

Answer:

m = 1

Step-by-step explanation:

From the question given,

m(2x − 3) + n(x + 1) = 5x for all real numbers x.

Since x is a real number, we can obtain the value of m as follow:

Let x = 1

m(2x − 3) + n(x + 1) = 5x

m(2×1 − 3) + n(1 + 1) = 5×1

m(2 – 3) + n(2) = 5

m(– 1) + n(2) = 5

– m + 2n = 5 ...... (1)

Let x = 2

m(2x − 3) + n(x + 1) = 5x

m(2×2 − 3) + n(2 + 1) = 5×2

m(4 – 3) + n(3) = 10

m(1) + n(3) = 10

m + 3n = 10 ...... (2)

– m + 2n = 5 ...... (1)

m + 3n = 10 ...... (2)

Solve by elimination method

Add equation 1 and 2

– m + 2n = 5

+ (m + 3n = 10)

¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯

5n = 15

Divide both side by 5

n = 15/5

n = 3

Substitute the value of n into any of the equation to obtain the value of m. Here, we shall substitute n into equation 2.

m + 3n = 10

m + 3(3) = 10

m + 9 = 10

Collect like terms

m = 10 – 9

m = 1

Therefore, the value of m is 1

Answer:

48

Step-by-step explanation:

a=2

b=3

3a^2+4b^2

3(2)^2+4(3)^2

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

3(4)+4(9)

12+36

48

Hope this helps ;) ❤❤❤

Answer:

  The graph has y-intercept (0,5) and increases with a constant ratio of 3

Step-by-step explanation:

The value of the function when x=0 is 5·3^0 = 5, so the y-intercept is (0, 5).

Each increase of 1 in x causes the function value to increase by a factor of 3, so the 'constant ratio' is 3. (That is the base of the exponential term.)

Answer:

18.55 <=  wt < 18.65

In other words, the dog could weigh anywhere from 18.55   up to , but not including  18.65  lbs

Step-by-step explanation:

Answer:

every thing that is 18.55 and after it until 18.64

Step-by-step explanation:

so that will be 18.55,18.56,18.57,18.58,18.59,18.6,18.61,18.62,18.63,18.64

those are all numbers that could be sams weight

Answer:

H, 40%

Step-by-step explanation:

We can start out simple by finding out the number of cars in each category.

30 remote-controlled cars

90 non remote-controlled cars.

20% of the remote controlled cars are yellow, meaning that there are 6 yellow remote controlled cars.

Since 50% of the total cars are yellow, there are 60 yellow cars. Subtracting this from the yellow remote controlled cars, there are 54 yellow non remote contolled cars.

What this means is that 54/90 of the non-remote cars are yellow, and 36/90 of the non-remote cars are yellow. 36/90 is just 2/5, which means that our answer is H, 40%.

Answer:

width = 10

length = 2 (10) + 7 = 27

Step 1:

If the perimeter was 74 inches, then that means one side of the width and one side of the length added together is 1/2 of 74, which is 37.

Step 2:

We can solve this by using this equation:

2w + 7 + w = 37

Then, we subtract 7 from both sides, since in the passage, it states that the length is 7 more than twice the width.

2w + w = 30

Add the w's together:

3w = 30

And then divide both sides by 3 to get:

w = 10

Step 3:

Now, we can plug in w into our equation to solve for the width and length.

width = 10

length = 2 (10) + 7 = 27

_____2w+7_____

|                             |  w

--------------------------

Answer:

8.10

Step-by-step explanation:

1metre =100 centmetres

1st piece is 5.44m

2nd piece is 1.44m

3rd piece is 1.12m

Total length= 8.10m

Step-by-step explanation:

V=(4/3) * πr^3

V=(4/3) * π * 7.6 ^3

V=(4/3) * π * 438.976

V= π * 585.301333

V = 1837.85 inch^3

3.14 for pi btw

Answer:

You started at ( -3,5)

Step-by-step explanation:

You end at (4,5)

You got there by moving right 9 units so move left 9 units

Moving left is subtraction in the x direction

(4-9,5)

( -5,5)

Then move left 2 units so move right 2 units which is adding 2 in the x direction

( -5+2, 5)

( -3,5)

You started at ( -3,5)

Answer:

  4 months

Step-by-step explanation:

The 24% APR corresponds to a monthly rate of 24%/12 = 2%. This finance charge on a balance of $300 is ...

  0.02 × $300 = $6.00

To pay off $300 will take more than 3 payments of $100 because of the finance charge. Because the finance charge is not very large, the last month's payment will not need to be $100, but will be somewhat less.

It will take 4 months to pay off the balance.

_____

Additional comment

The actual finance charge will depend on your credit agreement. It may amount to $4 the second month, and $2.08 the third month, if it is charged on the outstanding balance. That is, the 4th month's payment may only be $6.08. If there is a finance charge on the initial $300 balance, that may cause the last payment to be a little more than $12.

Answer:

A. 0

Step-by-step explanation:

In order for there to be a 1 in 3 chance, there would have to be an equal number of the three chalices.  Since four is the smallest number, the other two must have four left as well.  That means Donavan drank 1 spoiled milk and 2 flat sodas.  Therefore, he drank 0 purified water.

Answer:

f⁻¹(x) = [tex]2^{\dfrac{x}{4} }[/tex] + 7

Step-by-step explanation:

The inverse of a function reverses the operations performed by the function  in the question such if f(x) = y, then we have, f⁻¹(y) = x, which reverses the operation of the first function.

The inverse of a function f(x) = 4·㏒₂(x - 7) is found as follows;

We have;

y = 4·㏒₂(x - 7)

We substitute x for y to get;

x = 4·㏒₂(y - 7)  which gives;

x/4 = ㏒₂(y - 7)

[tex]2^{\dfrac{x}{4} }[/tex] = y - 7

y = [tex]2^{\dfrac{x}{4} }[/tex] + 7

Therefore;

f⁻¹(x) = [tex]2^{\dfrac{x}{4} }[/tex] + 7.

Answer:

the answer is 16

Step-by-step explanation:

Answer:

|AC| = 144

Step-by-step explanation:

The larger triangle (on the left) and the smaller one (on the right) are similar.

Therefore the following equation of ratios is correct:

  x               7

---------- = ---------

156 - x       84

Then 84x = 7(156) - 7x, or

         91x = 1092, or x = 12

Then the length of AC is 156 - x, or 144  

Answer:

5.36

Step-by-step explanation:

tan 15 = x / 20

x = 40 - 34.64

x = 5.36

Answer:

5 * 10^10.

Step-by-step explanation:

(9 * 10^10) - (4 * 10^10) = (9 - 4) * 10^10 = 5 * 10^10.

Hope this helps!

Answer:

5*10^10

Step-by-step explanation:

9 times ten is 9^10, and 4 Times 10^10 is 4^10 so 9^10 minus 4^10 is 50000000000 which is also called 5^10 which is also 5 x 10^10 I think. pls correct me if im wrong