All categories

4 years ago

The sum of the cost of dinner d and a $12 tip divided equally between 3 people

Mathematics

1 answer:

torisob [31]4 years ago

4 0

Answer: 4

Step-by-step explanation:

First you make your equation

3d=12

Divide

You get d=4

Therefore each person pays 4 dollars of the 12 dollar tip

You might be interested in

Reserved tickets for the football game cost $20 each and general admission tickets cost $12. The total ticket sales brought in $

Leya [2.2K]

so what you would do is 20 x 12 and see what you get and the subtract it from 900 and then see what number would take you to 900

6 0

3 years ago

Please help ASAP!!!!! Thanks

Mice21 [21]

Answer: one Apple costs £ 0.20, and one banana costs £ 0.60

Step-by-step explanation:

let x = the amount of apples

let y = the amount of bananas

4x + y = 1.40

7x + y = 2

this is à system of equations

simplify the top equation to y = 1.4 - 4x

now plug that into the second equation and solve

7x + 1.4 - 4x = 2

3x + 1.4 = 2

3x = 0.6

x = 0.2

that means that one Apple costs £ 0.20

plug that back into the top equation

4x + y = 1.4

4(0.2) + y = 1.4

0.8 + y = 1.4

y = 0.6

so one banana costs £ 0.60

3 0

3 years ago

i figure is formed by a square and a triangle. total area is 32.5 m. the area of the triangle is 75 m. what is the length of eac

Anni [7]

Answer:

The length of each side of the square is 5 meters

Step-by-step explanation:

<u><em>The correct question is</em></u>

A figure is formed by a square and a triangle. total area is 32.5 m^2. the area of the triangle is 7.5 m^2. what is the length of each side of the square?

we know that

The total area of the figure is equal to the area of triangle plus the area of square

The area of square is equal to the area f the figure minus the area of triangle

Let

A ----area of the square

$A=32.5-7.5=25\ m^2$

Find the length side of the square

Remember that the area of the square is

$A=b^2$

where

b is the length side of the square

substitute

$25=b^2$

square root both sides

$b=5\ m$

therefore

The length of each side of the square is 5 meters

6 0

4 years ago

Suppose you and your friends form a band and you want to record a demo. Studio A rents for $75 plus $75 an hour and Studio B

Ganezh [65]

Answer:

Step-by-step explanation:

Studio A rents for $75 plus $75 an hour .

Studio B rents for $150 and $50 an hour.

Let t = the number of hours and c = cost.

Part A

Write a system of equations to represent the cost at each studio.

Studio A: c = 75 +75·t

Studio B: c = 150 +50·t

Part B

Solve the system of equations from Part A. Explain your method.

We solve the system of equation using substitution method, where we substitute c in the first equation with 150 +50t.

150 +50·t = 75 +75·t, subtract 75 and 50t from both sides

150 -75 = 75t -50t, combine likes terms

75 = 25t, divide both sides by 25

3 = t

Now we know that t = 3 so we find c by substituting t with 3 in the second equation.

c = 150 +50·t

c = 150 +50·3

c = 300

The solution of the system of equations is c = 300 and t = 3

Part C

Explain what the solution to the system means in terms of where your band will rent a studio.

The solution of the system of equation tells us that if we rent either studio A or B for 3 hours will pay the same price $300.

The price will be different if we rent studio A then studio B if we rent it for a different amount of time than 3 hours.

7 0

2 years ago

Can someone please help me.

Igoryamba

Answer:

We have to prove the triangles ΔXYW and ΔZYW are similar. We can do this by showing that they have two equal/in-ratio corresponding sides with the same angle between them (SAS/side-angle-side), or by showing they have two equal corresponding angles (AA/angel-angle), or by showing their sides are in ratio (SSS).

We are told XY=ZY, so we already know the triangles share an equal side.

Both triangles also share YW as a side.

Because YW bisects <XYZ, we know <XYW = <ZYW, so we know the angle between the triangle's corresponding sides are the same.

Therefore, since the triangles have two equal corresponding sides with the same angle between them (SAS), we can say they are similar.

Hope this helps :)

8 0

1 year ago