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Sunny_sXe [5.5K]
3 years ago
5

alA baker bought 4 gallons of icing to decorate cakes. He uses 4 1/2 cups of icing for completely Frost and decorate each cake.

what is the maximum number of cakes he can completely decorate ​
Mathematics
1 answer:
kow [346]3 years ago
8 0

Answer: 14 cakes

Step-by-step explanation:

We have the following data:

Number of gallons the baker has: 4 gallons \frac{16 cups}{1 gallon}=64 cups

Number of cups the baker used for one cake: 4,5 cups

Now, we can use the Rule of three  to find the maximum number of cakes the baker can completely decorate:

4.5 cups-----​1 cake

64 cups-----​?

Then:

​?=\frac{(64 cups)(1 cake)}{4.5 cups}

​?=14,2 cakes \approx 14 cakes

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my neighbor has two cats and both cats have yellow eyes. therefore when to cats live together, they will both have yellow eyes.
Whitepunk [10]
Inductive reasoning has to do with coming to a certain prediction or a conclusion based on multiple true premises.
Here, we know that these two cats live together and that they have yellow eyes. These two statements are true. So, naturally, we can conclude that any two cats which live together will have yellow eyes.
Now, whether or not this is correct, that is beside the point. 
3 0
4 years ago
Find the distance between the points (–10,3) and (–2,3).
nikdorinn [45]

Answer:

8

Step-by-step explanation:

10 - 2

7 0
3 years ago
A car's cooling system has a capacity of 20 quarts. Initially, the system contains a mixture of 3 quarts of antifreeze and 17 qu
Pachacha [2.7K]

Answer:

1.10 quarts

Step-by-step explanation:

We are given that

Capacity of system=20 quarts=\frac{20}{4}=5 gal

1 gallon=4 quarts

Initially mixture contains

Antifreeze=3 quarts=\frac{3}{4}=0.75 gal

Water=17 quarts=\frac{17}{4}=4.25 gal

Water runs in to the system=1gal/min

We have to find the antifreeze in the system at the end of 5  minutes.

Concentration inflow=0

Let Concentration outflow=x

Rate of system=Concentration inflow(water inflow rate)-Concentration outflow(water outflow rate)

\frac{dx}{dt}=0\times 1-\frac{1}{5} x=-\frac{x}{5}

\frac{dx}{x}=-\frac{dt}{5}

Taking integration on both sides

\int\frac{dx}{x}=-\frac{1}{5}\int dt

ln x=-\frac{1}{5}t+C

x=3 and t=0

ln 3=C

ln x-ln 3=-\frac{1}{5}t

ln\frac{x}{3}=-\frac{1}{5}t

Using formula

ln m-ln n=ln\frac{m}{n}

\frac{x}{3}=e^{-0.2t}

x=3e^{-0.2t}

Substitute t=5

x=3e^{-0.2\times 5}=3e^{-1}=1.10

Hence, in the end of 5 minute ,the antifreeze in the system=1.10 quarts

7 0
4 years ago
Rewrite the question below to eliminate the bias
bixtya [17]

Answer:

Hello!!

Rewrite the question below to eliminate the bias...

"Should students get homework since some students have to work after school?"

The rewritten question would be...

Should students get homework?

Hope this helps!!

8 0
3 years ago
A pair of basketball shoes was originally priced at $80, but was marked up 37.5%. What was the retail price of the shoes?
AURORKA [14]

Answer:    $110


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8 0
3 years ago
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