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Lorico [155]
2 years ago
11

Sally's summer punch recipe is a combination of lemonade and fruit punch. Sally uses 6 cups of lemonade for every 8 cups of frui

t punch. August made a recipe with 35 cups of liquid total, 15 of which were lemonade. Explain if August made the recipe using the correct ratios
Mathematics
1 answer:
disa [49]2 years ago
4 0

Answer:

August made the recipe using the correct ratios

Step-by-step explanation:

we know that

Sally uses 6 cups of lemonade for every 8 cups of fruit punch

so

using proportion

Find out the number of cups of fruit punch for 15 cups of lemonade

Let

x ----> the cups of fruit punch

\frac{6}{8}=\frac{15}{x}\\ \\x=8*15/6\\ \\x= 20\ cups\ fruit\ punch

The total cups of liquid is the sum of the cups of lemonade plus the cups of fruit punch

so

15+20=35\ cups

therefore

August made the recipe using the correct ratios

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Josiah baked 24 cookies. He gave 1/6 of them to his family before he took them to his friend's house. How many cookies did he gi
alexandr402 [8]

Answer:

4 cookies

Step-by-step explanation:

24 x (1/6) = 24/6 = 4

7 0
3 years ago
Read 2 more answers
A trader bought m apples for $12.
Aleks [24]

Answer:

a) total cost of m apples= $12 = 1200 cents

($1= 100cents, so $12= 12×100 cents)

cost of each apple= 1200/m

b) Number of apples sold= m-3

selling price of each apple= (1200/m) +2

Total sum received from sales:

(\frac{1200}{m}  + 2)(m - 3) \\  =  \frac{1200}{m} (m) - 3( \frac{1200}{m}) + 2m   -  3(2)  \\  = 1200 -  \frac{3600}{m}  + 2m - 6 \\  = (2m + 1194 -  \frac{3600}{m} ) \: cents

c) profit= amount received- amount spent on buying apples

96= 2m +1194 -3600/m -1200

2m -6 -96 -3600/m =0 (simplify, bring 96 over)

2m- 102 -3600/m =0

2m^2 -102m -3600 =0 (multiply by m on both sides)

m^2 -51m -1800 =0 (divide by 2 on both sides)

(shown)

d) m^2 -51m -1800=0

x =   \frac{ -b± \sqrt{{b}^{2} - 4ac }   }{2a}

Hence, using the above formula,

m =  \frac{ - ( -51)± \sqrt{( - 51) {}^{2} - 4(1)( - 1800) } }{2(1) }  \\ m =  \frac{51± \sqrt{9801} }{2}  \\ m = 75 \:  \:  \:  \:  \: or \:  \:  \:  \:  \: m =  - 24

e) Thus, selling price of each apple

= 1200/75 +2

= 18 cents

This is found by substituting the value of m, which is 75, into the equation of the selling price of each apple which we found earlier in part b.

note: do not reject m= -24 in part d because you are simply solving the equation not finding out the number of apples the trader bought, m.

We ignore m= -24 in part e as it is not possible for the number of apples bought be a negative number

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3 years ago
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sdas [7]
8^{4} +6 . I think that's right?
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What is the length of BD
-BARSIC- [3]

Answer:

Step-by-step explanation:

6 0
2 years ago
Can someone plz help a bro out
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1= -6
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3 years ago
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