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3 years ago

Select the correct answer from each drop-down menu

Mathematics

1 answer:

emmainna [20.7K]3 years ago

4 0

Answer:

Step-by-step explanation:

There are 6 digits given: 1,2,3,5,8 and 9

But we are only taking three at a time.

= 6!/3!

= 6*5*4*3*2/3*2

= 6*5*4

= 120

The first and last digits can only be even if the number takes the one of the forms "2 _ 8" or "8 _ 2". The middle number can be any of the remaining four.

This means the probability of getting a number beginning and ending with an even digits is:

= 8/120

= 1/15 ....

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18pts Solve for x. -3x + 6 = 2x - 24 A) -30 B) -6 C) 6 D) 30

Natasha2012 [34]

Answer: B

Step-by-step explanation: x = 6

8 0

3 years ago

Read 2 more answers

The cost of a car rental is thirty dollars a day plus fifteen cents a mile. If the total cost to rent the car was one hundred an

Elan Coil [88]

Answer:

Step-by-step explanation:

Alright, lets get started.

Suppose car was driven x miles in its 4 days trip.

Cost of a car rental is thirty dollar per day.

So, for 4 days, the car rental will be = $30*4=120$ $

For 1 mile, it adds fifteen cents,

So, for x miles, the cost will be = $0.15 x$ $

As per question, total rent is 180 $

Total rent will be = $120 + 0.15 x = 180$

Subtracting 120 in both sides

$0.15 x = 180-120=60$

$x=\frac{60}{0.15}$

$x=400$

It means car was driven 400 miles. : Answer

Hope it will help :)

4 0

3 years ago

An amusement park charges a $20 admission fee and $3 for each ride. Which equation can be used to determine c, the total cost of

PtichkaEL [24]

Answer:

C = 3n+20

Step-by-step explanation:

C= The Cost

n= the number of rides

So if you get on 2 rides

that would be $6

because 3x2=6

or 3+3

and just add in the 20 to get in

so the sum is

26 if you were to get on 2 rides

5 0

3 years ago

Express the situation as a system of two equations in two variables. Be sure to state clearly the meaning of your x- and y-varia

expeople1 [14]

Answer:

9 TV ads and 20 radio ads

Step-by-step explanation:

He has $37,000 to spend. He has to sum that amount of money between the TV and radio ads. Each TV ad costs $3000 while each radio ad costs $500, so the equation that represents that is 37000 = 3000x + 500y

The same happens with the amount of voters he needs to reach, the equation is 130000 = 10000x + 2000y

The system that represents this is

$\left \{ {{3000x+500y=37000} \atop {10000x+2000y=130000}} \right.$

And the augmented matrix is

$\left[\begin{array}{cc|c}3000&500&37000\\10000&2000&130000\end{array}\right]$

First we divide the first row by 3000 and the second by 10000:

$\left[\begin{array}{cc|c}1&1/6&37/3\\1&1/5&13\end{array}\right]$

Then we multiply the second row by (-1) and we add the first row:

$\left[\begin{array}{cc|c}1&1/6&37/3\\0&-1/30&-2/3\end{array}\right]$

Now we multiply the second row by -30:

$\left[\begin{array}{cc|c}1&1/6&37/3\\0&1&20\end{array}\right]$

Finally, to the first row we add the second one multiply by (-1/6):

$\left[\begin{array}{cc|c}1&0&9\\0&1&20\end{array}\right]$

So, x = 9 and y = 20

That means 9 TV and 20 radio ads will contact 130,000 voters using the allocated funds

3 0

3 years ago

Maria and Edwin have $23.00 each to spend at a book fair, where all students receive a 25% discount. They both want to purchase

mario62 [17]

Maria is correct because she subtracted the discount and added the sales tax...
The discount is the amount that would be taken away from the original price and the sales tax is added to the original price.
Yes, they have enough money.
(26.50-25%+10%=22.525)

8 0

4 years ago