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2 years ago

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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Jonathan has a bag that co rains exactly one red marble (r), one yellow marble (y) and one green marble (g). He chooses a marble

liraira [26]

Answer: The first outcome shall be 0.33 or 33%.

The second outcome would be 0.5 or 50%

Step-by-step explanation: The bag contains exactly one yellow, one red and one green marble. So when he draws the first marble the sample space shall be the total possible outcomes, which is three, since he has three (3) marbles altogether. When he draws the first time without looking, all three marbles have an equal probability of being picked which can be derived thus;

P(Red) = Number of required possibilities/Number of all possibilities

P(Red) = 1/3

P(Red) = 0.33

Note that there is only one marble of each color which means P(Yellow) and P(Green) is also 0.33 respectively.

After choosing the first marble, without replacing the first one he now chooses another marble. The sample size would have reduced to 2 (since one marble has been drawn). Hence, the outcome when he draw a second marble can be calculated as follows;

P(Red) = Number of required outcomes/Number of possible outcomes

P(Red) = 1/2

P(Red) = 0.5

6 0

3 years ago

Please solve these coin problems:

ratelena [41]

1)
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y- amount of 33 cent stamps
$\left \{ {{1*x+33*y=18,40} \atop {x+y=80}} \right.\\x=80-y\\0,01*(80-y)+0,33y=18,40\\0,8-0,01y+0,33y=18,40\\0,32y=18,40-0,8\\0,32y=17,60 /:0,32\\y=55\\x=80-55=25$
2)
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y-amount of 34 cent stamps
From system of equations:
$\left \{ {{0,2x+0,34y=19,90} \atop {x+y=75}} \right.\\x=75-y\\0,2(75-y)+0,34y=19,90\\ 15-0,2y+0
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3 years ago

Factor the expression x^4 -1 using the polynomial identify x^2-y^2)=(x-y)(x+y)

Orlov [11]

Answer:

(x - 1)(x + 1)(x² + 1)

Step-by-step explanation:

Step 1: Factor Difference of Squares

(x² - 1)(x² + 1)

Step 2: Factor Difference of Squares for non-complex binomial root

(x - 1)(x + 1)(x² + 1)

And we have our answer!