Sharon is drawing up a plan for building a reduced Eiffel Tower on her backyard patio. She has room to make a base of 5 feet. He
r work is shown below.
What was Sharon’s error in finding the missing height measurement for her reduced tower?
Her proportion does not have corresponding parts in the same position.
For cross products, she needed to multiply 1050(328) and 5(x).
She needed to divide both sides by 1640, instead of 1050.
She needed to round down to 1.5 feet.
What was Sharon’s error in finding the missing height measurement for her reduced tower?
Her proportion does not have corresponding parts in the same position.
For cross products, she needed to multiply 1050(328) and 5(x).
She needed to divide both sides by 1640, instead of 1050.
She needed to round down to 1.5 feet.
2 answers:
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Answer:
The ratio of used stamps and total stamps can be represented by three fifths.
Step-by-step explanation:
It is give that Jamal has 4 new stamps and 6 used stamps.
New stamps = 4
Used stamps = 6
Total stamps = New stamps + Used stamps = 4 + 6 = 10
We need to find the ratio that can be represented by three fifths
Therefore, the ratio of used stamps and total stamps can be represented by three fifths.
<h3><u>Question:</u></h3>
At the movie theater , the Clayton family bought 4 fountain drinks and 3 bags of popcorn and paid $22.50. The Hanks family bought 5 fountain drinks and 2 bags of popcorn and paid $23.75. How much is a fountain drink? How much is a bag of popcorn ?
<h3><u>Answer:</u></h3>Cost of 1 fountain drink is $ 3.75 and cost of 1 bag of popcorn is $ 2.5
<h3><u>Solution:</u></h3>Let "f" be the price of 1 fountain drink
Let "p" be the price of 1 bag of popcorn
Given that Clayton family bought 4 fountain drinks and 3 bags of popcorn and paid $22.50
4 x price of 1 fountain drink + 3 x price of 1 bag of popcorn = 22.50
4f + 3p = 22.5 -------- eqn 1
Also given that Hanks family bought 5 fountain drinks and 2 bags of popcorn and paid $23.75
5 x price of 1 fountain drink + 2 x price of 1 bag of popcorn = 23.75
5f + 2p = 23.75 -----------------eqn 2
<em><u>Let us solve eqn 1 and eqn 2</u></em>
Multiply eqn 1 by 2
2(4f + 3p = 22.5)
8f + 6p = 45 -------- eqn 3
Multiply eqn 2 by 3
3(5f + 2p = 23.75)
15f + 6p = 71.25 --------- eqn 4
<em><u>Subtract eqn 3 from eqn 4</u></em>
15f + 6p = 71.25
8f + 6p = 45
( - ) -------------------
7f = 26.25
f = 3.75
<em><u>Substitute f = 3.75 in eqn 1</u></em>
4(3.75) + 3p = 22.5
15 + 3p = 22.5
3p = 22.5 - 15
3p = 7.5
p = 2.5
Thus cost of 1 fountain drink is $ 3.75 and cost of 1 bag of popcorn is $ 2.5