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umka2103 [35]
3 years ago
8

A recipe calls for 1/2 cup sugar and 1 cup flour. Complete the table to show how much sugar and flour to use in different number

s of batches of the recipe.
Mathematics
2 answers:
lubasha [3.4K]3 years ago
7 0

Answer:

Well for every 1/2 cup of sugar its 1 cup of flour

Step-by-step explanation:

Just make a table like for example 5 1/2 cup of sugar brings you 11 cups of flour

Anoter example could be 5.5 cups of flour could be 3 cups of sugar yk?

bagirrra123 [75]3 years ago
6 0

Answer:

1/2

Step-by-step explanation:

divide

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The table shows the estimated number of bees, y, in a hive x days after a pesticide is released near the hive.
Oksana_A [137]

Answer:

<h2>A.</h2>

Step-by-step explanation:

The given table is

Days     Bees

  0        10,000

 10        7,500

 20       5,600

 30       4,200

 40       3,200

 50       2,400

Where x represents days and y represents bees.

The exponential function that models this problem must be like

y=a(1-r)^{x}, which represenst an exponential decary, because in this case, the number of bees decays.

We nned to use one points, to find the rate of decay. We know that a=10,000, because it starts with 10,000 bees.

Let's use the points (10, 7500)

y=a(1-r)^{x}\\7500=10000(1-r)^{10}

Solving for r, we have

\frac{7500}{10000}=(1-r)^{10} \\(1-r)^{10} =0.75

Using logarithms, we have

ln((1-r)^{10}) =ln(0.75)\\10 \times ln(1-r)=ln(0.75)\\ln(1-r)=\frac{ln(0.75)}{10} \approx -0.03\\e^{ln(1-r)}=e^{-0.03}\\1-r =e^{-0.03}\\r=-e^{-0.03}+1 \approx 1.97

Replacing all values in the model, we have

y=10000(1-1.97)^{x}\\y=10000(0.97)^{x}

Therefore, the right answer is the first choice, that's the best approximation to this situation.

6 0
3 years ago
Read 2 more answers
According to a study conducted by an​ organization, the proportion of Americans who were afraid to fly in 2006 was 0.10. A rando
jeyben [28]

Answer:

Event is not unusual(p>0.05).

Step-by-step explanation:

Given that :

p=0.10\\\\n=1100\\\\x=121

#The sample proportion is calculated as:

\hat p=\frac{x}{n}\\\\=\frac{121}{1100}\\\\=0.1100

#Mathematically, the z-value is the value decreased by the mean then divided  the standard deviation :

z=\frac{\hat p- p}{\sqrt{\frac{p(1-p)}{n}}}\\\\\\\\=\frac{0.11-0.10}{\sqrt{\frac{0.10(1-0.10)}{1100}}}\\\\\\=1.1055

#We use the normal probability table to determine the corresponding probability;

P(X\geq 121)=P(Z>1.1055)\\\\=0.1314

Hence, the probaility is more than 0.05, thus the event not unusual  and thus  this is not necessarily evidence that the proportion of Americans who are afraid to fly has increased.

8 0
3 years ago
12a^2 <br> 10 x (1/2)a^2 <br><br> whats will be the solution
AVprozaik [17]
Get Photomath it will give you the answer
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3 years ago
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Amanda [17]
6d+23=14(d-2)
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51=8d
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Hope this helps :)
4 0
3 years ago
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A train left Podunk and traveled north at 75 km/h. Two hours later, another train left Podunk and traveled in the same direction
Andreyy89
Answer:

8 hours

Steps:

Train 1:

Hours: 1, 2, 3, 4, 5, 6, 7, 8

Miles: 75, 150, 225, 300, 375, 450, 525, 600

Train 2:

Hours: 1, 2, 3, 4, 5, 6, 7, 8

Miles: 0, 0, 100, 200, 300, 400, 500, 600
6 0
3 years ago
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