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Montano1993 [528]
3 years ago
9

The chef of a five star hotel is tripling a recipe for a chocolate cake. The cake requires 3 7/8 cups of flour and 2 1/7 cups of

sugar. How much flour and sugar will she need?
Mathematics
1 answer:
Elena L [17]3 years ago
4 0

Answer:

The answer to your question is 11 5/8 cups of flour and 6 3/7 cups of sugar

Step-by-step explanation:

Data

The quantities are tripling

The original amount of flour = 3 7/8

The original amount of sugar = 2 1/7

Process

1.- Calculate the amount of flour

-Convert the mix fraction to improper fraction

            3 7/8 = (24 + 7)/8 = 31/8

-Multiply by three

           31/3 x 3 = 93/8

-Convert to mix fraction

                    11

                8 93            

                    13

                      5

- He needs 11 5/8 cups of flour

2.- Calculate the amount of sugar

-Convert to an improper fraction

               2 1/7 = (14 + 1) / 7 = 15/7

-Multiply by three

               15/7 x 3 = 45/7

-Convert to mix fraction

                    6

              7  45

                     3

-He needs 6 3/7 cups of sugar

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How many integers between 10 and 60, inclusive, can be evenly divided by neither 2 nor 3?
erastovalidia [21]
Find total number of integers.

a_1=10,a_n=60,d=1 \\a_n=a_1+(n-1)d \\60=10+(n-1)1 \\n-1=50 \\n=51

Find how many integers is divisible by 2.

a_1=10,a_n=60,d=2
\\a_n=a_1+(n-1)d
\\60=10+(n-1)2
\\2(n-1)=50
\\n-1=25
\\n=26

Eliminate even numbers.

11, 13, 15,..., 57, 59

This array contains 51 - 26 = 25 numbers.

Eliminate numbers before the first number divisible by 3 and after the last number divisible by 3.

15, 17, 19,..., 55, 57

This array contains 25 - 3 = 22 numbers.

Now we should eliminate numbers divisible by 3: 15, 21, 27...

a_1=15,a_n=57,d=6,n=?
\\a_n=a_1+(n-1)d
\\57=15+(n-1)6
\\6(n-1)=42
\\n-1=7
\\n=8

There are 8 such numbers.

Therefore, there are 25 - 8 = 17 numbers that <span>can be evenly divided by neither 2 nor 3</span>

6 0
3 years ago
What is the distance between the sandbox and garden
elena55 [62]
For this case, the first thing we must do is apply the law of the sine.
 We then have the following expression:
 sine (65) / x = sine (104) / 36
 Clearing the value of x we have:
 x = (sine (65) / sine (104)) * (36)
 x = 33.6 feet
 Answer:
 
The distance between the sandbox and garden is:
 
x = 33.6 feet
6 0
3 years ago
2{ 5[12+5 (500 - 100)+399]}
notsponge [240]

This is solved by breaking the equasion down.

2 { 5 [12 + 5 (500 - 100) + 399 ]}

2 { 5 [12 + 5 (400) + 399]}

2 { 5 [12 + 2000 + 399]}

2 { 5 [2411]}

2 {12055}

24110

Is this the answer you were looking for?

3 0
3 years ago
Read 2 more answers
A. Use this diagram of a right triangle to derive and prove the Pythagorean Identity, based on sin θ and cos θ. Start with what
Taya2010 [7]
0x - 12 so she is wrong. 2x hope this helps
5 0
3 years ago
One more question i just really need help lol
podryga [215]

Answer:

The answer is C

Step-by-step explanation:

6 0
3 years ago
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