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3 years ago

Is 11 1/3 greater than 34/3

Mathematics

1 answer:

swat323 years ago

3 0

Answer:

Equal

Step-by-step explanation:

The two terms are equal.

When you convert 11 1/3 into an improper fraction, it is 34/3.

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Applying properties of Exponents in exercise,use the properties of exponents to simplify the expression.See example 1.

evablogger [386]

Answer: a) 15625, b) 0.2, c) 625, d) 0.008.

Step-by-step explanation:

Since we have given that

a) $(5^2)(5^3)$

As we know that

$a^m\times a^n=a^{m+n}$

So, it becomes,

$5^2\times 5^3=5^{2+3}=5^6=15625$

(b) $(5^2)(5^{-3})$

So, it becomes,

$5^2\times 5^{-3}=5^{2-3}=5^{-1}=\dfrac{1}{5}=0.2$

As we know that

$(a^m)^n=a^{mn}$

So, it becomes,

$5^{2\times 2}=5^4=625$

(d) $5^{-3}$

$a^{-m}=\dfrac{1}{a^m}\\\\5^{-3}=\dfrac{1}{5^3}=\dfrac{1}{125}=0.008$

Hence, a) 15625, b) 0.2, c) 625, d) 0.008.

4 0

3 years ago

What is the simplified form of the quantity 1 over b minus 1 over a all over the quantity 1 over b plus 1 over a?

jolli1 [7]

Option B: (b-a)/(b+a) is the correct answer

Step-by-step explanation:

The given expression is;

$\frac{\frac{1}{b}-\frac{1}{a}}{\frac{1}{b}+\frac{1}{a}}$

First of all we have to take LCM in both numerator and denominator

So,

$=\frac{\frac{b-a}{ab}}{\frac{b+a}{ab}}$

The reciprocal of the denominator will be multiplied with the numerator for simplification

So,

$=\frac{b-a}{ab} * \frac{ab}{b+a}\\= \frac{b-a}{b+a}$

Hence,

Option B: (b-a)/(b+a) is the correct answer

Keywords: Fractions, expressions

Learn more about fractions at:

#LearnwithBrainly

4 0

3 years ago

FIND THE MISSING SIDE LENGTHS!!!

velikii [3]

Answer:

Step-by-step explanation:

7 0

3 years ago

Alison and Tyrone each bought a slice of pizza in the shape of a right triangle as

aksik [14]

Answer:

The area of Alison's pizza would be 30 in.

7 0

3 years ago

A calculator was purchased for $29. The wholesale cost was $20. What was the percent markup?

Oxana [17]

If you would like to find the percent markup, you can calculate this using the following steps:

x% of $20 is $29
x% * 20 = 29
x/100 * 20 = 29
x = 29 * 100 / 20
x = 145%

145% - 100% = 45%

The correct result would be 45%.

5 0

3 years ago