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alexgriva [62]
3 years ago
6

​Yesterday, a movie theater sold 262 bags of popcorn. A large bag of popcorn costs ​$3. A small bag of popcorn costs ​$1. In​ al

l, the movie theater made ​$430 from popcorn sales. Write and solve a system of equations to find how many bags of each size of popcorn were sold.
Mathematics
2 answers:
Snezhnost [94]3 years ago
5 0

Answer:

Small: 178

Large: 84

Step-by-step explanation:

L + S = 262

S = 262 - L

3L + S = 430

3L + 262 - L = 430

2L = 168

L = 84

S = 262 - 84

S = 178

Charra [1.4K]3 years ago
5 0

Answer:

Small: 178

Large: 84

Step-by-step explanation:

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Evan's family took a road trip to Niagrara Falls. Evan fell asleep 5% of the way through the trip. If Evan fell asleep after the
Elina [12.6K]

Answer:

The length of the trip is 1.5

Step-by-step explanation:

5÷100×30=1.5

7 0
3 years ago
At the local market, Bill buys 3 juice boxes and 2 hot dogs at a cost of $8, while Sarah buys 2 juice boxes and 1 hot dog at a c
baherus [9]

Answer:

The cost of each juice boxes is $ 2

The cost of each hot dogs is $ 1  .

Step-by-step explanation:

Given as :

The amount which Bill pays for 3 juice boxes and 2 hot dogs = $ 8

The amount which Sarah pays for 2 juice boxes and 1 hot dogs = $ 5

Let The cost of each juice boxes = $ j

And The cost of each hot dogs = $ h

Now, According to question

3 j + 2 h = 8               .........A

2 j + 1 h = 5                 ..........B

Now, solving the equations

2 × (  2 j + 1 h ) = 2 × 5

or, 4 j + 2 h = 10

I.e ( 4 j + 2 h ) - ( 3 j + 2 h ) = 10 - 8

Or, ( 4 j - 3 j ) + ( 2 j - 2 h ) = 2

Or, j + 0 = 2

∴  j = 2

So , The cost of each juice boxes = j = $ 2

Now, Put the value of j in Eq A

I.e  3 × 2 + 2 h = 8

Or, 6 + 2 h = 8

Or. 2 h = 8 - 6

or, 2 h = 2

∴   h = \frac{2}{2} = 1

So, The cost of each hot dogs = h = $ 1

Hence The cost of each juice boxes is $ 2

And The cost of each hot dogs is $ 1  . Answer

4 0
3 years ago
Two sides of a triangle have lengths 6 cm and 6cm describe the possible lengths of the third side
Rashid [163]

Answer:

0 < x < 12

Step-by-step explanation:

Since it's given that side a and side b both have a length of 6, side c has to be  0 < x < 12.

6 0
3 years ago
Find the arc length of the partial circle.
Maurinko [17]

Answer:

Arc length

2\pi \times 8 \times  \frac{90}{360}  \\ 4\pi

5 0
2 years ago
Please need help i need help i need help
xeze [42]

Set each expression from the parentheses equal to 0 separately like so:

Equation 1: x - 4 = 0

Equation 2: -5x + 1 = 0

Now for each equation solve for x!

Equation 1:

x +(- 4 + 4) = 0 + 4

x = 4

Equation 2:

-5x +( 1-1) = 0 - 1

-5x/ -5 = -1 / -5

x = 1/5

Check:

(4 - 4)(-5*4 + 1)

(0) (-20 + 1)

(0) (-19)

0 = 0 -------------------------> correct!

(1/5 - 4)(-5 * 1/5 + 1)

(-19/5)(-1 + 1)

(-19/5)(0)

0 = 0 -------------------------> correct!

smaller x = 1/5

larger x = 4

Hope this helped!

8 0
3 years ago
Read 2 more answers
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