What happens to the volume of a cone when the radius is doubled ?

You order a breakfast that costs $10.25 and a coffee that costs $3.45. You leave a 02% tip and the sales tax is 9.5%. What is th

Rasek [7]

Answer: the total cost of the meal is

$17.7415

Step-by-step explanation:

The original cost of the breakfast $10.25 and the original cost of the coffee is $3.45. This means that the total cost of the breakfast and the coffee was

10.25 + 3.45 = $13.7

You leave a 20% tip. This means that the amount of tip that you left is

20/100 × 13.7 = 0.2 × 13.7 = $2.74

The sales tax is 9.5%. This means that the amount of sales tax that you paid is

9.5/100 × 13.7 = 0.095 × 13.7 = $1.3015

Therefore, the total cost of the meal would be

13.7 + 2.74 + 1.3015 = $17.7415

7 0

3 years ago

-3x^2 plus 24x = 27 <br> complete the square

Rudik [331]

You can divide the whole expression by -3:

$-3x^2+24x=27 \iff x^2-8x = -9$

Recalling that

$(x-a)^2=x^2-2ax+a^2$

Let's compare the middle term:

$-8x = -2ax \iff a=4$

So, we want to complete

$(x-4)^2 = x^2-8x+16$

Which differs from $x^2-8x$ by 16. So, if we add 16 to both sides, we have

$x^2-8x=-9 \iff x^2-8x+16=7 \iff (x-4)^2=7$

3 0

4 years ago

Read 2 more answers

Explain in your own words what happens when a car's tires are changed from the original size to a LARGER size. How is the odomet

Nadusha1986 [10]

Answer:

Step-by-step explanatin

it affects it because your going from smaller tires witch make it easier to make turns go faster things like that when you put bigger tires on the car it is gonna raise the car and have a whole differnt outlook

6 0

3 years ago

Pls help me find the area of compound shapes?!?!

Alex73 [517]

3x7 + 2x3 = 22 + 6 = 28 is the area

6 0

2 years ago

Read 2 more answers

14. The maximum capacity for seating in a theater is 500 people. The theater sells two types of

Eva8 [605]

Taking into account the definition of a system of linear equations, the amount of adult tickets sold is 356 and the amount of child tickets sold is 144.

<h3>System of linear equations</h3>

A system of linear equations is a set of two or more equations of the first degree, in which two or more unknowns are related.

Solving a system of equations consists of finding the value of each unknown so that all the equations of the system are satisfied. That is to say, the values of the unknowns must be sought, with which when replacing, they must give the solution proposed in both equations.

<h3>Amount of ticket sold</h3>

In this case, a system of linear equations must be proposed taking into account that:

"x" is the amount of adult tickets sold.
"y" is the amount of child tickets sold.

The maximum capacity for seating in a theater is 500 people. If they sold out on a certain showtime, this is represented by x+y=500.

On the other side, the theater sells two types of tickets, adult tickets for $7.25 each and child tickets for $4 each and the made a total of $3,157. This is represented by 7.25x +4y=3157.

So, the system of equations to be solved is

$\left \{ {{x+y=500} \atop {7.25x+4y=3157}} \right.$

There are several methods to solve a system of equations, it is decided to solve it using the substitution method, which consists of clearing one of the two variables in one of the equations of the system and substituting its value in the other equation.

In this case, isolating the variable x from the first equation you get:

x=500 - y

Substituting this expression in the second equation you get:

7.25× (500 -y) +4y=3157

7.25×500 - 7.25y +4y=3157

3625 - 7.25y +4y=3157

- 7.25y +4y=3157 -3625

-3.25y= -468

y= (-468)÷ (-3.25)

Substituting this value in the expression x=500 - y you get:

x=500 - 144

Remembering that "x" is the amount of adult tickets sold and "y" is the amount of child tickets sold, you get that the amount of adult tickets sold is 356 and the amount of child tickets sold is 144.

Learn more about system of equations:

<u>brainly.com/question/14323743</u>

<u>brainly.com/question/1365672</u>

<u>brainly.com/question/20533585</u>

<u>brainly.com/question/20379472</u>

5 0

2 years ago