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2 years ago

9

Meredith's recipe for 2 1/2 dozen cupcakes calls for 3 cups of flour. She only has 1 cup of flour and needs to feed 12 people. C

an she feed these people with the flour she had?

1 answer:

oee [108]2 years ago

7 0

I am pretty sure the awnser is yes because 2.5 divided by 3 equals .83 repeating which mean for one dozen of cupcakes(12) it would take .84 cups of flour.

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The population of bacteria in a petri dish doubles every 24 h. The population of the bacteria is initially 500 organisms. How lo

liberstina [14]

Answer:

16.34 hours

Step-by-step explanation:

According to the given information we can see that the case is of exponential growth

Hence, we will use the formula

$A=P(2)^\frac{t}{24}$

Here A =800 is the amount that is needed to reach

P is the initial amount that is 500

We have to find the time it will take to reach 800 that is we need to find t

On substituting the values in the formula we get

$800=500(2)^\frac{t}{24}$

On simplification we get

$\Rightarrow\frac{8}{5}=(2)^\frac{t}{24}$

Taking log on both sides we get

$\Rightarrow\log\frac{8}{5}=\log(2)^\frac{t}{24}$

using $\log\frac{m}{n}=\log m-\log n$

And $\log a^m=m\log a$

$\Rightarrow\log{8}-\log{5}=\frac{t}{24}\log2$

Now substituting values of log 8=0.903, log 5=0.698 and log 2=0.301 we get

$\Rightarrow 0.903-0.698=\frac{t}{24}0.301$

$\Rightarrow 0.205=\frac{t}{24}0.301$

$\Rightarrow \frac{0.205}{0.301}\cdot 24=t$

$\Rightarrow t=16.34$

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3 years ago

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I need to know how to round to the nearest hundredth in the number 1.120

user100 [1]

The answer would be 1.12

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3 years ago

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Y=7<br> Y=-2x+1<br><br> Find the intersection

stealth61 [152]

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3 years ago

There are two newborns, Gary and Eric. The future lifetime of Gary is uniformly distributed between 0 to 60 years. The future li

scoray [572]

Answer:

$\text{The probability that Gary dies first = }\frac{1}{3}$

Step-by-step explanation:

To find the required probability,

We can split the 40 years of Eric into very small pieces of time dt. Now, If Eric dies at time t and Gary dies before Eric, the probability is :

$\frac{t}{60}\times \frac{dt}{40}=\frac{t\cdot dt}{2400}$

Hence the probability that Gary dies first is given by :

$=\int_{0}^{40}\frac{t}{2400}dt \\\\= \frac{1}{3}$

3 0

3 years ago

Find the Total surface area of a cone if it's slant height is 21m and diameter of it's base is 24m.

kherson [118]

<h3><u>Answer :- </u></h3>

The total surfAce area of cone is <u>1244.57m².</u>

<h3><u>Step-by-step</u><u> </u><u>explanation</u><u> </u><u>:</u><u>-</u><u> </u></h3>

<u>To </u><u>find </u><u>:</u><u>-</u><u> </u>

The total surface area of cone..

<h3><u>Solution :- </u></h3>

Given that ,

The slant height of the cone = 21m.
Diameter of it's base = 24m.

<h3><u>♦</u><u> </u><u>Radius is </u></h3>

<u>=</u>> Diameter / 2

=> 24 / 2

=> 12m

<h3>As we know that , </h3>

<u>Total surface area of cone = πr ( r + L ) .</u>

<h3><u>Where</u><u> </u><u>we </u><u>know</u><u>,</u></h3>

π = 22/7
r = Radius ( radii )..
L = Slant height.

<h3>According to the question :- </h3>

The total surface of cone is,

<u>=> Total surface area = πr { r + L } ..</u>

$= \frac{22}{7} \times 12 \times (12 + 21)$

$= \frac{22}{7} \times 12 \times 33$

$= (22 \times 12 \times 33) \div 7$

$= (726 \times 12) \div 7$

$= 8712 \div 7$

$= 1244.57 {m}^{2}$

• Therefore , The total surface area of cone is <u>1244.57m².</u>

Hope this helps you :)

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2 years ago

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