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3 years ago

Emily uses 2/3 cup of milk to make one batch of muffins .How many cups of milk will Emily use if she makes 3 batches of muffins?

2 answers:

6 0

If 2/3 is equal to 1 batch of muffins
than you need to multiply the fraction by 3 or 3/1
multiply the numerator by the numerator and the denominator by the denominator
2/3 *3/1 = 6/3 or simplified to...
2 cups of milk

alina1380 [7]3 years ago

5 0

Answer:

2 cups hope this helps

Step-by-step explanation:

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Air pressure may be represented as a function of height (in meters) above the

denis-greek [22]

Answer: OPTION C.

Step-by-step explanation:

<h3> The complete exercise is: "Air pressure may be represented as a function of height (in meters) above the surface of the Earth, as shown below:</h3><h3> $P(h) =P_0e^{-0.00012h}$ </h3><h3> In this function $P_o$ is the air pressure at the surface of the earth, and $h$ is the height above the surface of the Earth, measured in meters. At what height will the air pressure equal 50% of the air pressure at the surface of the Earth"</h3><h3></h3>

Given the following function:

$P(h) =P_0e^{-0.00012h}$

In order to calculate at what height the air pressure will be equal 50% of the air pressure at the surface of the Earth, you can follow these steps:

1. You need to substitute $P(h)=0.5P_o$ into the function:

$0.5P_o=P_0e^{-0.00012h}$

2. Finally, you must solve for $h$ .

Remember the following property of logarithms:

$ln(b)^a=a*ln(b)\\\\ln(e)=1$

Then, you get this result:

$0.5P_o=\frac{P_o}{e^{0.00012h}}\\\\(0.5P_o)(e^{0.00012h})=P_o\\\\e^{0.00012h}=\frac{P_o}{0.5P_o}\\\\ln(e)^{0.00012h}=ln(2)\\\\0.00012h*1=ln(2)\\\\h=\frac{ln(2)}{0.00012}\\\\h=5576.2$

7 0

4 years ago

I need help again...help??

Tasya [4]

Answer:

x ≥14

Closed circle at 14 line to the right

x≤3

closed circle at 3 line to the left

Step-by-step explanation:

(x-4)/5 ≥2

Multiply by 5

(x-4 )/5 *5 ≥2 *5

x-4 ≥10

Add 4 to each side

x-4+4≥10+4

x ≥14

Closed circle at 14 line to the right

3x-4 ≤5

Add 4 to each side

3x-4 +4≤5+4

3x ≤9

Divide by 3

3x/3 ≤9/3

x≤3

closed circle at 3 line to the left

5 0

3 years ago

In how many distinguishable ways can you arrange the letters in the word CONNECTICUT? *

borishaifa [10]

Answer:

The number of distinguishable arrangements are 1,663,200.

Step-by-step explanation:

The word is: CONNECTICUT

The number of ways to arrange a word when no conditions are applied is:

$\frac{n!}{k_{1}!\cdot k_{2}!\cdot k_{3}!...\cdot k_{n}!}$

Here <em>k</em> is the number of times a word is repeated.

In the word CONNECTICUT there are:

3 Cs

2 Ns

2 Ts

And there are a total of <em>n</em> = 11 letters

So, the number of distinguishable arrangements are:

$\frac{n!}{k_{1}!\cdot k_{2}!\cdot k_{3}!...\cdot k_{n}!}=\frac{11!}{3!\times 2!\times 2!}$

$=\frac{39916800}{6\times 2\times 2}\\\\=1663200$

Thus, the number of distinguishable arrangements are 1,663,200.

7 0

3 years ago

The amount of chlorine in a swimming pool is proportional to the volume of water. The pool has 2.5 milligrams of chlorine per li

vesna_86 [32]

Answer:

utyਟਿਵ੍ਗਕ੍ਵਫਕ੍ਤੁਦ੍ਯੇਦਿਹਜ੍ਜੁਤ੍ਯੈਫ੍

Step-by-step explanation:

utyਟਿਵ੍ਗਕ੍ਵਫਕ੍ਤੁਦ੍ਯੇਦਿਹਜ੍ਜੁਤ੍ਯੈਫ੍ਰ gh ਗ੍ਯੁਯਜ੍ਕ੍ਜਗ੍

8 0

3 years ago

Find an expression equivalent to the one shown below.

TEA [102]

Answer:

C) 1/6^32

Step-by-step explanation:

The applicable rules of exponents are ...

(a^b)^c = a^(b·c)

(a^b)(a^c) = a^(b+c)

a^-b = 1/a^b

_____

Using these rules, your expression simplifies to ...

6^8·6^(10(-4)) = 6^8·6^-40 = 6^(8-40) = 6^-32 = 1/6^32

6 0

3 years ago