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just olya [345]
1 year ago
7

14. Team 8A is selling snacks at the football game to raise money for a field trip. They are selling popcorn for $2.50 and pretz

els for $2. They have raised a total of $280 and have of 130 items. How many of each item did they sold a total sell?​
Mathematics
2 answers:
nadezda [96]1 year ago
7 0

Answer:

<u>90 pretzels and 40 popcorn.</u>

Step-by-step explanation:

This problem can be solved using a linear equation system.

Let's give each product a varaible:

x= popcorn.

y= pretzels.

Now, let's set up the equation system:

1. x+y=130

(Means that they have sold a total of 130 items of both products combined).

2. 2.5x+2y= 280

Now, let's solve the equation system through the <u>substitution method</u>.

Take one of the equations and extract a value of one of the variables:

From equation 1, solving for x, x=130-y.

Now, use that expressión and substitute it by x in equation 2:

2.5(130-y)+2y= 280

Now, let's find the value of y.

2.5(130-y)+2y= 280

325-2.5y+2y=280

-2.5y+2y=280-325

-0.5y= -45

y= -45/-0.5

<u>y= 90</u>

Now, use that value of y in equation 1 to find the value of x:

x+(90)=130

x=130-90

<u>x=40</u>

We have that y= 90 and x=40, translated to textual language, Pretzels=90 and Popcorn= 40.

Mamont248 [21]1 year ago
5 0

Answer:

  • 40 popcorns and 90 pretzels sold.

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

Let the number of popcorns is x and pretzels is y.

Set up equations:

  • x + y = 130
  • 2.5x + 2y = 280

Solve by elimination, multiply the first equation by 2 and subtract from the second equation:

  • 2.5x + 2y - 2x - 2y = 280 - 2*130
  • 0.5x = 280 - 260
  • 0.5x = 20
  • x = 20/0.5
  • x = 40

Find y:

  • 40 + y = 130
  • y = 130 - 40
  • y = 90

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Svet_ta [14]

Answer:

Height of the fighter plane =1.5km=1500 m

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Let be the angle with the vertical so that the shell hits the plane. The situation is shown in the given figure.

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4 0
3 years ago
Mark bought 3 bags of pretzels for $2.00 each. He also bought 2 bottles of juice for $1.50 each. Write an expression and find th
Agata [3.3K]

Answer:

Total Cost for Pretzels and juice is $9.

Step-by-step explanation:

Given:

Number of Bags of pretzels =3

Cost for each bag = $2.00

Total Cost of Pretzels is equal to product of Number of Bags of pretzels and Cost for each bag.

Framing in equation form we get;

Total Cost of Pretzels = 3\times 2= \$6

Also Given:

Number of Bottle of Juice = 2

Price of each bottle = $1.5

Total Cost of Juice is equal to product of Number of Bottle of Juice and Price of each bottle.

Framing in equation form we get;

Total Cost of Juice = 2\times 1.5= \$3

Total Cost of Pretzels and juice is equal to sum of Total Cost of Pretzels and Total Cost of Juice.

Total Cost of Pretzels and juice = Total Cost of Pretzels + Total Cost of Juice

Total Cost of Pretzels and juice = $6 + $3 =$9

Hence Total Cost for Pretzels and juice is $9.

5 0
3 years ago
I NEED HELP!
Vinvika [58]

Answer:

Step-by-step explanation:

First of all you have to put the zeros into factor form.

y1 = (x + 2)(x - 5)

Notice that the x changes sigh. You say that the zeros are -2 and  5. To get y1 to go to zero, you must make x the opposite sign of what you are given.

Now you have to expand the factored form to get the standard form

y = x^2 + 2x - 5x - 10

y = x^2 - 3x - 10

That's not the right answer.

f(0) = 30 but you have - 10 at the end so you have to multiply the factored form by - 3

-3(f(x)) = -3(x + 2)(x - 5)

-3(f(x)) = -3(x^2 - 3x - 10)

f(x) = -3x^2 + 9x + 30    

f(0) = -3(0)^2 + 9(0) + 30

f(0) = 30

The quadratic still has roots of (x +2)(x - 5) but that 3 makes the y intercept = 30.

See the graph below.

6 0
3 years ago
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