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Nataly [62]
3 years ago
15

A punch recipe says to mix 4 cups pineapple juice, 8 cups orange juice, and 12 cups seltzer in order to make 18 servings of punc

h.
A)how many cups of each ingredient do you need to make 108 cups of punch?

B) how many servings can be made from 108 cups of punch

C)for every cup of seltzer you use,how much orange juice do you use ?

(PLEASE HELP !!!)
Mathematics
1 answer:
Leno4ka [110]3 years ago
6 0
Check my calculations:Cups of punch you need: cups of punch per serving
108: 24
4.5:1 ratio
Multiply everything by 4.5
a)Pineapple juice: 4 x 4.5=18 cups
OJ: 8 x 4.5=36 cups
Seltzer: 12 x 4.5=54 cups
b)  4.5 servings made
c) 12 cups seltz.: 8 cups OJ
3 cups seltz:2 cups OJ
You're very welcome LOL ((:
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3 years ago
line y = 2x+1 is transformed by a dialation with a scale factor of two and centered at (0,-4). what is the equation of the image
Gekata [30.6K]

Answer: y = 2x + 6

Step-by-step explanation:

Here the equation of line,

y = 2x + 1

y-intercept of the line is, (0, 1)

And, the slope of the line is 2.

Since, If a point (x,y) is dilated by a scale factor k about a point (a,b),

Then transformed point are get by,

(x,y)\rightarrow (k(x-a)+a, k(y-b)+b)

Thus, The transformed point of point (0,1) when dilation is occur by the scale factor 2 about the point (0,-4),

(0,-4)\rightarrow (2(0-0)+0, 2(1+4)-4)

(0,-4)\rightarrow (0, 6)

Thus, the point of the new line is (0,6)

And, the slope of the new line is 2 ( because in the dilation, the slope of the line does not change)

Thus, the equation of new line,

(y - 6) = 2 (x - 0)

y - 6 = 2x

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5 0
3 years ago
The number of members over time in an online music sharing club can be modeled by an exponential function. the club started with
Paraphin [41]

Answer:

a.) N(x) =  N_{0} e^{bx}

b.) therefore b = \ln \frac{2142}{2100}  =  \ln (1.02) = 0.0198

    b is the rate of increase of number of members

c.) The club will not be able to get more than 5000 members during its first year.

Step-by-step explanation:

i) the club started with 2100 members.

  so we can write N_{0} = 2100.

a.) so we can write the equation as an exponential function given by

  N(x) =  N_{0} e^{bx} where x is in months and b is a constant and N(x) is the number of members in the online music sharing club .

 therefore 2142 = 2100 \times (e^{b\times 1}) = 2100e^{b}

b.) therefore b = \ln \frac{2142}{2100}  =  \ln (1.02) = 0.0198

    b is the rate of increase of number of members

c.) Will the club have more than 5000 members during its first year? Justify your reasoning.

      5000 = 2100e^{0.0198x}

 therefore x  = \frac{1}{0.0198} \ln{(\frac{5000}{2100} )}  =  43.81 \hspace{0.1cm}months

The club will not be able to get more than 5000 members during its first year.

7 0
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Write an expression describing her earnings for working hours
Licemer1 [7]

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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