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denpristay [2]
3 years ago
14

Question 15 of 43

Mathematics
1 answer:
Andrews [41]3 years ago
6 0

Answer:

Option A

Step-by-step explanation:

\frac{12}{25}  \times  \frac{11}{24}  \times  \frac{10}{23} \times  \frac{9}{22}

we start with 12 red marbles out of 25 marbles, that's the probability for the first.

in the second step we have one red marble less, wich also means one marble less overall

and so on

\frac{12 \times 11 \times 10 \times 9}{25 \times 24 \times 23 \times 22}

=  \frac{11880}{303600}

can be reduced by 1320 (step by step) to

\frac{9}{230}

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Bananas cost $1.50 per pound, and guavas cost $3.00 per pound. Kiran spends $12 on fruit for a breakfast his family is hosting.
Flura [38]

Answer:

4 pounds of bannanas and 2 pounds of guava

Step-by-step explanation:

2 pounds of bananas equals 1 guava

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3 years ago
In a bag there are blue sweets and red sweets.
xxTIMURxx [149]

Answer:

9/4

Step-by-step explanation:

9 out of 4 are blue, just flip the ratio.

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5/16 ÷ 5/12
harkovskaia [24]

Answer:

1.) 3/4

2.) 44/5 or 8 4/5

3.) 17/6 or 2 5/6

Step-by-step explanation:

1.) 5/16 ÷ 5/12

To divide a fraction by another fraction, reciprocate (put the numerator to denominator and vice versa) the divisor then change the sign to multiplication:

5/16 × 12/5

5 × 12 / 16 × 5

Cancel out 5 since both numerator and denominator has it:

12 / 16

Divide both by 4:

12 ÷ 4 / 16 ÷ 4

3/4

2.) 3 1/5 • 2 3/4

You have to convert the fractions first to improper fractions by multiplying the denominator to the whole number then adding the numerator to the product:

3 1/5 = 3×5 + 1 = 16/5

2 3/4 = 2 × 4 + 3 = 11/4

Now you can multiply the numerator to numerator then denominator to denominator:

Since 16 is a factor of 4, you can cancel it out, which leaves 4:

16 / 5 × 11/4

4 × 11 / 5 × 1

44/ 5

3.) 6 3/8 ÷ 2 1/4

Convert to improper fraction:

6 3/8 = 6× 8 + 3 = 51/8

2 1/4 = 4 × 2 + 1 = 9/4

(51 × 4)/ (9×8)

51 × 1/ 9× 2

51 / 18

Divide by 3:

17/6

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3 years ago
How much would the sales tax be on a $66 meal
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The ____ of Powers property allows you to rewrite xa· xb as xa + b.
erica [24]

Answer:

The Product of Powers property allows you to rewrite x^a\times x^b=x^{a+b}.

Step-by-step explanation:

We are given that,

The property allows us to write, x^a\times x^b=x^{a+b}

It is required to know the corresponding property.

As, we see that,

<em>The expression involves the product of terms having same base resulting in the addition of the powers.</em>

So, we have that,

The corresponding property is 'Product of Powers'.

Hence, the complete statement is,

The Product of Powers property allows you to rewrite x^a\times x^b=x^{a+b}.

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