Answer:
$8.80
Step-by-step explanation:
In order to find the new price, you need to add 60% of the original price (5.50) to the original price. You have two options:
1) multiply $5.50*0.6 to get 60% of the original price. You would get $3.30. Then add $3.30+$5.50, which equals $8.80. This way takes longer but shows you all the steps.
2) The shorter way is to simply multiply $5.50*1.6, which also equals $8.80. This works because the "1" automatically adds the 5.50 to 60% of the original price, this way you don't have to multiply then add.
If you don't understand how the second way works or your teacher taught you #1, just do it the first way.
As long as the new rectangle is not moved, just dilated, line EF will be parallel.
An expression is defined as a set of numbers, variables, and mathematical operations. The given statement can be modeled as (3m+7)/27 < n.
<h3>What is an Expression?</h3>
In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
The given statement "The quotient of 7 more than three times a number m and the number 27 less than n" can be modeled as an algebraic expression as shown below.
(3m+7)/27 < n
Hence, the given statement can be modeled as (3m+7)/27 < n.
Learn more about Expression:
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Answer:
28x + 8y + 2
Step-by-step explanation:
Combine like-terms within the parentheses, then distribute -2.
Hope this helps! :)
Answer:
$3 and $2
Step-by-step explanation:
let p represent popcorn and d drinks , then
2p + 3d = 12 → (1)
3p + 5d = 19 → (2)
multiplying (1) by 3 and (2) by - 2 and adding will eliminate p
6p + 9d = 36 → (3)
- 6p - 10d = - 38 → (4)
add (3) and (4) term by term to eliminate p
0 - d = - 2
- d = - 2 ( multiply both sides by - 1 )
d = 2
substitute d = 2 into either of the 2 equations and solve for p
substituting into (1)
2p + 3(2) = 12
2p + 6 = 12 ( subtract 6 from both sides )
2p = 6 ( divide both sides by 2 )
p = 3
Popcorn costs $3 and a drink costs $2