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RUDIKE [14]
3 years ago
6

Lindsey's birthday party will cost $20 if she invites 10 guests. How many guests can there be, at most, if Lindsey can afford to

spend a total of $48 on her birthday party? Solve using unit rates.
Mathematics
1 answer:
trasher [3.6K]3 years ago
4 0
So its 2$ per guest since
20$/10 guests
2$/1 guest
and if she has 48$ its
48$/24 guests
So she can have 24 guests max if she spends 48$
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Find the missing side
Romashka-Z-Leto [24]
Hi there!
The question here is basically asking us to use ratios to find the length of the missing side. To do this, we must first construct a ratio. The best one would be - 
\frac{84}{12} = \frac{56}{x}
Now, just cross multiply and solve for x.
\frac{84}{12} = \frac{56}{x}
84x = 672
x = 8
Therefore, the length of the missing side would be 8. Hope this helped!
5 0
4 years ago
Read 2 more answers
To make a punch Anna adds 8 ounces of apple juice for every 4 ounces of orange juice if she uses 32 ounces of apple juice which
Novosadov [1.4K]

Answer:

Step-by-step explanation:

If our ratio is apple juice to orange juice, then the proportion will be

\frac{a}{o}:\frac{8}{4}

If we are looking for how much orange juice she needs if she uses 32 ounces of apple juice, then 32 goes on top of a new ratio and x goes on bottom:

\frac{a}{o}:\frac{8}{4}=\frac{32}{x}

That's the proportion.  If you need to solve it, cross multiply to get

8x = 128 so

x = 16 ounces of orange juice

6 0
3 years ago
Find the solution set for the following problem. 5 diminished by 3 times a number is at most 11.
leva [86]
For this case, the first thing we are going to do is define the following variable:
 x = unknown number
 We now write the following inequality:
 5-3x <= 11
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 -6/3 <= x
 -2 <= x
 The solution set is:
 [-2, inf)
 Answer:
 
the solution set is:
 
[-2, inf)
4 0
4 years ago
2. Ryan gets a raise. He now earns $9 an hour. Ryan decides to
Olin [163]

Answer:

9 hours at 9 dollars an hour is 81 dollars so therefore he needs to work 9 weeks in order to raise the money.

Step-by-step explanation:

8 0
3 years ago
Very urgent!!!!!
Zinaida [17]

Answer:

number of terms=9

Step-by-step explanation:

t_{1}=6\\t_{5}=18\\\\t_{n}=t_{1}+(n-1)d\\18=6+(5-1)d\\18-6=4d\\4d=12\\d=12/4=3\\s_{n}=162\\s_{n}=\frac{n}{2}[2t_{1}+(n-1)d]\\162=\frac{n}{2}[2(6)+(n-1)3]\\162 \times 2=n(12+3n-3)\\324=n(3n+9)\\3n^2+9n-324=0\\n^2+3n-108=0\\n^2+12n-9n-108=0\\n(n+12)-9(n+12)=0\\(n+12)(n-9)=0\\n=-12,9\\n=-12 (rejected)

as number of terms can't be negative.

6 0
3 years ago
Read 2 more answers
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