Please help this is due today!!!!!!!!!!!

Marie, Shelia, and Martha bought snacks for a girl's sleepover. They each bought the items shown in the following table at the l

creativ13 [48]

Using a system of equations, it is found that the unit prices are:

$2.25 for a bag of chips.

$1.50 for a liter of pop.

$1.75 for a chocolate bar.

For the system:

x is the unit price of a bag of chips.

y is the unit price of liter of pop.

z is the unit price for a chocolate bar.

From the table, the equations are:

$2x + 2y + z = 9.25$

$3x + 4y + z = 14.50$

$x + 3y + 3z = 12$

Replacing the first equation on the second and the third:

$z = 9.25 - 2x - 2y$

$3x + 4y + z = 14.50$

$3x + 4y + 9.25 - 2x - 2y = 14.50$

$x + 2y = 5.25$

$x = 5.25 - 2y$

$x + 3y + 3z = 12$

$x + 3y + 3(9.25 - 2x - 2y) = 12$

$-5x - 3y = -15.75$

$5x + 3y = 15.75$

Since $x = 5.25 - 2y$ :

$5(5.25 - 2y) + 3y = 15.75$

$-7y = -10.5$

$y = \frac{10.5}{7}$

$y = 1.5$

Then:

$x = 5.25 - 2y = 5.25 - 2(1.5) = 2.25$

$z = 9.25 - 2x - 2y = 9.25 - 2(2.25) - 2(1.5) = 1.75$

The unit prices are:

$2.25 for a bag of chips.

$1.50 for a liter of pop.

$1.75 for a chocolate bar.

A similar problem, also solved using a system of equations, is given at brainly.com/question/14183076

4 0

3 years ago

A. Name 3 different angles which could have a reference angle of 20 degrees. How did you arrive at this answer?.

IgorC [24]

Answer:

Answer:a. Since 20° is in the first quadrant, the reference angle is 20° .

Answer:a. Since 20° is in the first quadrant, the reference angle is 20° .b. Reference Angle: the acute angle between the terminal arm/terminal side and the x-axis. The reference angle is always positive. In other words, the reference angle is an angle being sandwiched by the terminal side and the x-axis. It must be less than 90 degree, and always positive.

Answer:a. Since 20° is in the first quadrant, the reference angle is 20° .b. Reference Angle: the acute angle between the terminal arm/terminal side and the x-axis. The reference angle is always positive. In other words, the reference angle is an angle being sandwiched by the terminal side and the x-axis. It must be less than 90 degree, and always positive.c. The rays corresponding to supplementary angles intersect the unit circles in points having the same y-coordinate, so the two angles have the same sine (and opposite cosines).

hopefully,

Zara♡

8 0

3 years ago

Calcula la aceleración que debe tener un auto para alcanzar una velocidad de 108 km/h en 10 s si parte del reposo. ¿Qué distanci

sashaice [31]

sen bu me bu set an sus ye babe smnsnssnnsnsnsnsnsnsnsns

6 0

3 years ago

The kindergarten class has 10 girls and 10 boys. If two students are chosen at random to be in the school play, what is the prob

Akimi4 [234]

50% because there's equal value of both variables

6 0

4 years ago

Read 2 more answers

The time it takes to fly from Los Angeles to New York varies inversely as the speed of the plane. If

makvit [3.9K]

Answer: speed is 540 km/h

Step-by-step explanation: Lets mark speed as v.

Because distenace is same, you can mark 6 h · 900 km/h = 10 h · v

and v = 5400 km / 10 h = 540 km/h.

Or using inverse proportions : 10 h / 6 h = v / 900 km/h .

Before multiplying you turn lastproportion around :

10 h / 6 h = 600 km/ h / v ,which gives 10 v = 6 · 900 km/h

and result is same

3 0

3 years ago