1. 6(12+4)
2. 10+4(2+20)
3. 7(4+19)

Answer:

Step-by-step explanation:

Taking into account the definition of a system of linear equations, the price of each bag of popcorn is $8 and the price of each pretzel is $4.25.

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, the values ​​of the unknowns must be sought, with which when replacing, they must give the solution proposed in both equations.

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

On one hand, Julia went into a movie theater and bought 2 bags of popcorn and 5 pretzels, costing a total of $37.25.   This is expressed by 2x+5y= 37.25

Zoe went into the same movie theater and bough 8 bags of popcorn and 9 pretzels, costing a total of $102.25.  This is expressed by 8x+9y=102.25

So, the system of equations to solve is:

[tex]\left \{ {{2x+5y=37.25} \atop {8x+9y=102.25}} \right.[/tex]

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

So, isolating the variable x from the first equation:

2x+5y= 37.25

2x= 37.25 - 5y

x= (37.25 - 5y)÷2

x= 18.625 - [tex]\frac{5}{2}[/tex]y

Replacing in the second equation:

8×(18.625 - [tex]\frac{5}{2}[/tex]y)+9y=102.25

Solving:

8×18.625 - 8×[tex]\frac{5}{2}[/tex]y+9y=102.25

149 - 20y + 9y=102.25

149 -11y= 102.25

-11y= 102.25-149

-11y= -46.75

y= (-46.75)÷ (-11)

y= 4.25

Finally, replacing in x= 18.625 - [tex]\frac{5}{2}[/tex]y and solving you get:

x= 18.625 - [tex]\frac{5}{2}[/tex]×4.25

x= 18.625 - 10.625

x=8

Remembering that x represents the price of each bag of popcorn and y represents the price of each pretzel, you get that the price of each bag of popcorn is $8 and the price of each pretzel is $4.25.

Learn more about system of equations:

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Answer:

71

Step-by-step explanation:

(2x² = 2 × 5² = 2 × 25) + ([4x = 4 × 5 = 20] + 1)

(50) + (21) = 71

Answer:

x = 7

Step-by-step explanation:

Substitute y = 4 into the equation and solve for x

8x - 2(4) = 48

8x - 8 = 48 ( add 8 to both sides )

8x = 56 ( divide both sides by 8 )

x = 7

Answer:

x = 7

Step-by-step explanation:

8x - 2y = 48

y = 4

First, let's substitute y for it's actual value as we know it.

8x - 8 = 48

Next, add 8 on both sides. (When doing these sort of questions you must do the inverse.)

8x = 56

Divide both sides by 8 to get x.

x = 7

Hope this helps and I hope you have a good day!:)

Answer:

B

Step-by-step explanation:

the 5 in 5X.

Answer:

i think x = 7 y = 11

Step-by-step explanation:

have a nice dae

Answer:

$47.85

Step-by-step explanation:

4 2/5 in decimal form is 4.4

Using the equation hrs/money=x, 36.30/4.4=8.25

So, she gets $8.25 per hour

Then, 5 4/5 in decimal form is 5.8

So, 5.8*8.25=47.85

She gets $47.85 for working 5 4/5 hours

Answer:$47.85

Step-by-step explanation:

Answer:

,..................... 6000*12*5 %4 =630

Answer:

6240

Step-by-step explanation:

It's it 6,000+4% it's = 6240

Answer:

Not a function

Step-by-step explanation:

There are two points that correspond to the same variable

Hope this helps

Answer:

not a function

Step-by-step explanation:

There are two points that have the same x and  different y values

This would fail the vertical line test.

Answer:

A

Step-by-step explanation:

21 -6×3

-6×3=-18

21-18

=3

Answer:

We can't see your answer choices, but it would be n + d = 368 and .05n + .10d = 28.40

Step-by-step explanation:

n+d=368 and 0.05n+0.1d=$28.40 is the system of equations below would be the best to use to find the number of nickels and dimes hunter has

Two or more expressions with an Equal sign is called as Equation.

Given that hunter has a jar of 368 nickels and dimes.

The total value of coins is $28.40.

We need to find the system of equations below would be the best to use to find the number of nickels and dimes hunter has

The total quantity of nickels and dimes is 328

n+d=368

The value of nickel is 0.05 dollars

The value of dime is 0.10 dollars

0.05n+0.1d=$28.40

Hence, n+d=368 and 0.05n+0.1d=$28.40 is the system of equations below would be the best to use to find the number of nickels and dimes hunter has

To learn more on Equation:

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Answer:

A) AXT

C) TAX

F) XTA

=====================================

Explanation:

We name a triangle based on its corner points (aka vertex points). Those three points are A, T and X. The order doesn't matter so there are 6 ways to name this triangle and they are

The terms in bold are the final answers. Anything involving M or Y isn't part of the naming because we use the corner points only.

Complementary angles are two angles that add up to 90°

Supplementary angles are two angles that add up to 180°

Vertical angles are two angles that are opposite of each other and are also congruent

Answer:

[tex]\huge\color{pink}\boxed{\colorbox{black}{Answer♡}}[/tex]

The reason that a heavy body doesn't fall faster than a light body is because the greater gravitational force on the heavier body (its weight), acts on a correspondingly greater mass (inertia). The ratio of gravitational force to mass is the same for every body—hence all bodies in free fall accelerate equally.

hope helpful~

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Answer:

a=g/4b

Step-by-step explanation:

g=4ba

g/4b=a

a=g/4b

Answer:

2:1 RATIO

Step-by-step explanation:

If you walked for 5 minutes, the ratio of feet to minutes would be approximately 2.1665 feet per minute.

To determine the ratio of feet to minutes, we can use the steps to minutes ratio from Task 1. Let's find the steps-to-feet ratio first:

Steps:Feet

4:10

6:15

12:30

30:40

Now, let's calculate the steps-to-feet ratio by finding the average of the steps-to-feet ratio from all the given data points:

Average Steps-to-Feet Ratio = [(10/4) + (15/6) + (30/12) + (40/30)] / 4

Average Steps-to-Feet Ratio = (2.5 + 2.5 + 2.5 + 1.333) / 4

Average Steps-to-Feet Ratio = 2.1665

Now, for the question at hand, if you walked for 5 minutes, the ratio of feet to minutes would be approximately 2.1665 feet per minute.

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[tex]\huge \bf༆ Answer ༄[/tex]

Total distance covered is equal to ~

Hence distance covered = 2200 m = 2.2 km

Answer

16

Step-by-step explanation:

slope go up 16 every time

Answer:

$2.38

Step-by-step explanation:

Proportions:

2.5 kg ⇔ $1.40

4.25 kg ⇔ $P

P = 4.25kg * $1.40 / 2.5kg

P = $2.38

There i hope it help

Stay safe and study hard

Answer:

a. The sum of five times p and 8 is 23.

Answer:

It would be Number of Hours

Step-by-step explanation:

The word Dependent Variable means a number/something that relies on something else so the word "Number" Relies and something to follow it up and in this sentence it's "number of hours"

Hope this Helps :)

Answer:

58.14 inches

Step-by-step explanation:

Pitagoras:

Diagonal² = length² + width²

Diagonal² = 44² + 38²

Diagonal² = 1936 + 1444

Diagonal² = 3380

√Diagonal² = √3380

Diagonal = 58.137 = 58.14inches

Answer:

If the sum of the digits of a number is divisible by 9, then that number is divisible by 9. An..... sorry if this does not help :(

Step-by-step explanation:

Answer:

x= -8

Step-by-step explanation:

Subtract 3 from both sides to isolate the variable

Divide the variable by -1 so it can become positive; whatever you do to one side, you have to do to the other.

You'll end up with the equation of x= -8 if you do it correctly

Answer:

68,500

Step-by-step explanation:

68,533 <- Hundreds place is underlined

[] To round, we look at the number right the place. If it is less than 5, keep it the same. If it is five or greater , round up.

[] In this case it is a 3, so we keep it the same. We get an answer of 68,500

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update  my answer accordingly. (ノ^∇^)

- Heather