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Klio2033 [76]
4 years ago
15

A recipe for 6 dozen cookies calls for 3/4 cup of sugar. How much sugar is needed to make 4 dozen cookies? pls show all work and

answer
Mathematics
1 answer:
Paraphin [41]4 years ago
4 0
So if 6 dozen cookies needs 3/4 cup of sugar, and we need to know how much sugar is needed to make 4 dozen, then find how much of 6 dozen 4 dozen is.

To do this, put it as a fraction:

4 dozen / 6 dozen, or 4/6, which is 2/3.

Since conveniently it calls for 3/4 cup of sugar, we can multiply that by 2/3, and we'll get 6/12, or 1/2.

So 1/2 cup of sugar is needed for 4 dozen cookies.
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The function m(x)=30x represents the number of total minutes, m(x), that a student goes to extra help sessions, x. Erik wants to
jarptica [38.1K]

Answer:

900 minutes

Step-by-step explanation:

Given the function :

m(x) = 30x

m(x) ; function which represents number of total minutes ;

x = extra lesson session

If Eric goes for extra lesson session 2 times per week for. 10 weeks

Number of extra lesson sessions, x : (2 * 10) = 20 extra lesson sessions

Total Number of minutes :

m(x) = 30x

m(30) = 30(30)

= 900 minutes

6 0
4 years ago
10% of the downtown residents of a town in the Plains live in mobile homes. Based on data from past tornadoes, if a tornado goes
tia_tia [17]

Answer:

The probability a person will not live in a mobile home if they do not die as a result of the tornado is 0.9265.

Step-by-step explanation:

Denote the events as follows:

<em>X</em> = a person lives in a mobile home.

<em>Y</em> = a person dies as a result of tornado.

Given:

P(X)=0.10\\P(Y|X) = 0.30\\P(Y|X^{c})=0.02\\

Compute the value of P(Y^{c}|X^{c}) as follows:

P(Y^{c}|X^{c})=1-P(Y|X^{c})\\=1-0.02\\=0.98

Compute the probability that a person dies as a result of tornado as follows:

P(Y)=P(Y|X)P(X)+P(Y|X^{c})P(X^{c})\\=(0.30\times0.10)+(0.02\times(1-0.10))\\=0.03+0.018\\=0.048

Then the probability that a person does not dies as a result of tornado is:

P(Y^{c})=1-P(Y)\\=1-0.048\\=0.952

Compute the value of P(X^{c}|Y^{c}) as follows:

P(X^{c}|Y^{c})=\frac{P(Y^{c}|X^{c})P(X^{c})}{P(Y^{c})}=\frac{0.98\times(1-0.10)}{0.952}=0.9265

Thus, the probability a person will not live in a mobile home if they do not die as a result of the tornado is 0.9265.

5 0
4 years ago
Daniel wants to prove that the interior angles of any triangle sum to 180°. He draws a line through one vertex parallel to the o
Serggg [28]

Alternate interior angles theorem.

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

By using the definition of Alternate Interior Angles theorem, we can say that If a transversal cuts any two parallel lines, then those pairs of alternate interior angles are seems to be  congruent.

So in the given triangle,

∠4 ≅ ∠2

∠5 ≅ ∠3

Sum of all the angles in a triangle = 180°

∠1 + ∠2 + ∠3 = 180°

Since from the above congruence, we can write that

∠1 + ∠4 + ∠5 = 180°

Hence proved.

4 0
3 years ago
Suppose y=f(x)+k. What effect does k have on the parent function?
SashulF [63]
Y = f(x) + k
The k on the function will translate the function up or down.
If k is positive, it will translate up.
If k is negative, it will translate down.
3 0
4 years ago
Read 2 more answers
Find my number, if it is a two-digit one, one of its digits is 9, and it has remainder 0 when divided by 6.
jasenka [17]

Answer: 90 or 96

Step-by-step explanation: 90 divided by 6 is 15, 96 divided by 6 is 16. Both of them have 9 as one of the digits

4 0
3 years ago
Read 2 more answers
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