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amid [387]
3 years ago
13

Nelson needs 3 and 3/4 cups of flour to make a loaf of bread and 2 and 2/3 cups of flour to make pretzels. How many cups of flou

r does Nelson need in all?
Mathematics
2 answers:
Helen [10]3 years ago
8 0

Answer:

6 5/12 cups.

Step-by-step explanation:

3 3/4 + 2 2/3

= 3 + 2 + 3/4 + 2/3

= 5 + 3/4 + 2/3

The LCM of 4 and 3 is 12 so we have:

5 + 9/12 + 8/12

= 5 + 17/12

= 5 + 1 5/12

= 6 5/12.

matrenka [14]3 years ago
4 0

Answer:

that is 6 and 5/ 12 cups of flour are required

Step-by-step explanation:

total number of cups required to make a loaf of bread

= 3 + ¾

making their denominators equal and that to 4

= 12/ 4 + 3/ 4

adding numerators

= (12 + 3)/ 4

= 15/ 4

total cups of flour required to make pretzels

= 2 + ⅔

making their denominators equal and that to 3

= 6/ 3 + 2/ 3

adding nunerators

= (6 + 2)/ 3

= 8/ 3

Total cups required:-

= 15/ 4 + 8/ 3

taking lcm of denominators to make the fractions equivalent

= {(15 × 3) + (8 × 4)}/ 12

= {45 + 32}/ 12

= 77/ 12

6 \frac{5}{ 12}

<em>that is 6 and 5/ 12 cups of flour are required</em>.

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Effectus [21]

Based on the data, it is found that "being female" and "earning over $50,000" are not independent events. the correct answer is option D.

<h3>What is probability?</h3>

Probability is defined as the ratio of the number of favorable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

Two events, A and B are independent, if:

P(A \cap B) = P(A) P(B)

In this problem, the events are:

  • Event A: Being female.
  • Event B: Earning over $50,000.

Out of the 1000 people, 450 are female, hence:

P(A) = \dfrac{450}{1000} = 0.45

850 earn over $50,000, hence:

P(B) = \dfrac{850}{1000} = 0.85

375 are women who earn over $50,000, hence:

P(A \cap B)  = \dfrac{375}{1000} = 0.375

The multiplication of the probabilities is:

P(A \cap B)  = 0.45(0.85} = 0.3825

Therefore based on the data, it is found that "being female" and "earning over $50,000" are not independent events. the correct answer is option D.

To know more about probability follow

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3 0
1 year ago
Customers can pick their own blueberries at blueberry hill. They pay $5 to enter the patch and $4 per round for the blueberries
Pavlova-9 [17]
Y=5+4x 
Because it is 5 dollars when you enter and then 4 dollars per round

5 0
2 years ago
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Solve for the missing angle. Round to the nearest hundredth.<br> 18<br> ?<br> 13<br> ? =<br> degrees
skad [1K]

Answer:

\theta \:=43.76^{\circ \:\:}

Step-by-step explanation:

The right triangle has the hypotenuse = 18

Let 'Ф' be the missing angle

we know that

cos Ф = adjacent/hypotenuse

Here,

  • The adjacent to Ф = 13
  • The hypotenuse = 18

so

cos Ф = adjacent/hypotenuse

cos\:\theta \:=\frac{13}{18}

\theta \:=\cos ^{-1}\left(\frac{13}{18}\right)

   =43.76^{\circ \:}

Therefore, the missing angle is:

\theta \:=43.76^{\circ \:\:}

8 0
2 years ago
How do I find the missing length
Liono4ka [1.6K]

Answer:

KJ = 40

Step-by-step explanation:

Usinh the similarity factor, LJ is similar with PR and QR is similar to KJ

and the similarity ratio is 56/42 = 4/3

which means KJ/30 = 4/3 cross multiply expressions

KJ = 40

6 0
3 years ago
PLEASE HELP URGENT. They want me to find the volume for the red solid
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Answer:

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Step-by-step explanation:

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