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Lelechka [254]
3 years ago
11

The table shows the amount of lemon juice needed to make lemonade. (Unit 9 Lesson 3) Lemon juice (cups) 5 10 20 Servings 35 70 1

40 Are the two quantities proportional? If so, what is the constant of proportionality?
Mathematics
1 answer:
Gwar [14]3 years ago
6 0
Lemon Juice (cups)    5    10    20
Servings                   35     70  140

The two quantities are proportional. Lemon Juice (cups) is the x-value ; while servings is the y-value.

  35 ÷   5 = 7
  70 ÷ 10 = 7
140 ÷ 20 = 7

The constant of proportionality is 7.

The equation would be: y = 7x
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Sam scored 43, 48, and 42 points on three tests. How many points should he get on the fourth test to get an average score of 50?
tatiyna

So we know that an average is the sum of the scores divided by the number of scores that were added together. In this case we are going to be dealing with 4 tests. So let's say x is the score for our fourth test. We can create this equation:

\frac{x+43+48+42}{4}=50

So then we need to simplify the top:

\frac{x+133}{4}=50

Then multiply by 4 on both sides to get rid of the denominator:

x+133=200

Then solve for x:

x=67

So now we know that Sam needs to score a 67 on the fourth test to have an average score of 50.

6 0
3 years ago
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Given: p: 2x = 16 q: 3x – 4 = 20 Which is the converse of p → q?
valentina_108 [34]
It seems like the details of what p and q <em>are </em>in this context aren't all that important; it's the logical structure of the statement "p⇒q" we need to look at. We read that logical statement as "p implies q," where p is our <em>hypothesis</em> and q is our <em>conclusion</em>. When we take the converse of a logical statement, we reverse the hypothesis and the conclusion. In this case, <em>p </em>wouldn't imply <em>q</em>, but <em>q </em>would imply <em>p</em> in the converse of p⇒q. We'd write this statement as:

q⇒p
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4 years ago
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Every Saturday, Justin gets an allowance of $10 from his parents. During every week since Justin began getting an allowance, he
White raven [17]

Answer:

D. This sequence is a function because each output (even terms in sequence) maps to one input (odd terms in sequence).

Step-by-step explanation:

0, 10, 2, 12, 4, 14, 6, 16, 8, 18, 10, 20

he startes with $0 he gits his first allowance wich is $10, he spends $8 and saves $2. he gits anuther $10 and the remaning $2 is $12 he spends $8 he has $4 gits anuther $10 and the remaning $4 is $14 he spends $8 he has $6 he gits anuther $10 and the remaning $6 is $16 he spends $8 he has $8 he gits anuther $10 and the remaning $8 is $18 he spends $8 he has $10 he gits anuther $10 and the remaning $10 is $20.

hope this helped

◑〰️◐

3 0
3 years ago
Jenny wants to rent struck for one day she contacted two companies Laguna truck rentals charges $20 plus $2 per mile. Salvatore
Aleks04 [339]
Ok so lets work our way up to see when the price will be the same so..luguna charges $20 plus $2 per mile and Salvatore cost 3 per mile so..

20+2=22+2=24+2=26+2=28+2=30+2=32+2=34+2=36+2=38+2=40+2=42+2=44+2=46+2=48+2=50+2=52+2=54+2

3+3=6+3=9+3=12+3=15+3=18+3=21+3=24+3=27+3=30+3=33+3+36+3=39+3=42+3=45+3+48+3=51+3=54 so it would take 18 miles hope this helped
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3 years ago
How do you turn 3/10 into a decimal
xxTIMURxx [149]

Answer:

do 3 divided by 10 to get the decimal

Step-by-step explanation:

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