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Alenkinab [10]
2 years ago
13

1. How many batches of

Mathematics
2 answers:
jenyasd209 [6]2 years ago
8 0

Answer:

3 2/3

Step-by-step explanation:

3/4 x 3 2/3

3/4 x 11/3

11 x 3=33

4 x 3=12

33/12

2 3/4

Novosadov [1.4K]2 years ago
6 0

Answer:

3   \: batches

Step-by-step explanation:

To find the amount of batches you can make with

2 \frac{3}{4}

cups of sugar you have divide

2 \frac{3}{4}  \: by \:  \frac{3}{4}

First change two and three-quarter into an improper fraction, then divide:

2 \frac{3}{4}  =  \frac{11}{4}   \\  \\    \frac{11}{4}  \div  \frac{3}{4}  =  \:  \:  \frac{11}{4}  \times  \frac{4}{3}

=  \frac{11}{3}  \: or \: 3 \frac{2}{3}

Since you cannot have two-third a cookie you have to round the answer down to 3.

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Give the exact form and decimal form of the equation
Svet_ta [14]

Answer:

Exact form: \sin{(6x)} = \frac{8}{9}

Decimal form: \sin{(6x)} = 0.8889

The solution for x is: The solution for x is of 10.455º

Step-by-step explanation:

We are given the following equation:

8 = 9\sin{(6x)}

Placing into the desired format, the exact format is:

\sin{(6x)} = \frac{8}{9}

In the decimal part, we divide 8 by 9. So

\sin{(6x)} = 0.8889

Solving for x:

We apply the inverse sine. So

\sin^{-1}{\sin{(6x)}} = \sin^{-1}{0.8889}

6x = 62.73

x = \frac{62.73}{6}

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5 0
3 years ago
What is this expression in factored form?<br> x^2+13x+42
Allushta [10]

Answer and explanation:

x^{2} + 13x + 42

(x + 6)(x + 7)

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42: 1  2  3  6  7  14  21  42

Then see which of the multiples add up to 13

1 x 42 = 42 --> 1 + 42 \neq 13

2 x 21 = 42 --> 2 + 21 \neq 13

3 x 14 = 42 --> 3 + 14 \neq 13

6 x 7 = 42 --> 6 + 7 = 13

4 0
3 years ago
Peaceful Travel Agency offers vacation packages. Each vacation package includes a city, a month, and an airline. The agency has
UkoKoshka [18]

Answer:

12 packages.

Step-by-step explanation:

Peaceful travel agency offers vacation packages.

Each vacation package include a city, a month and an airline.

The agency has 2 cities, 3 months and 2 airlines to choose from.

Agency can offer the number of different packages = 2 × 3 × 2

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AlexFokin [52]

Answer:

yes

Step-by-step explanation:

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