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2 years ago

Which choices are equivalent to the exponential expression below? Check all that apply. (4/5)^3

Mathematics

1 answer:

VladimirAG [237]2 years ago

3 0

Answer:

A, C, D

Step-by-step explanation:

Remember: Exponents are simply repeated multiplication.

The exponent determines how many times to multiply the base number by itself.

$(\frac{4}{5} )^3=\frac{4}{5} *\frac{4}{5} *\frac{4}{5} =\frac{64}{25}$

Option 'A' and 'C' apply.

Option D applies because:

$\frac{4^3}{5^3} =\frac{64}{125}$

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2 years ago

Amira and Mandisa sell balloon animals at different stands on the boardwalk. They each use a constant number of balloons per ani

MAXImum [283]

Mandisa uses 5 balloons for each animal, this means that Mandisa uses more.

<h3>Linear equation</h3>

Linear equation is in the form:

y = mx + b

where y, x are variables, m is the slope of the line and b is the y intercept.

Let y represent the number of balloons for x animals.

Amira uses 4 balloons for each animal.

For Mandisa, using the table using (20, 225) and (60, 25):

$slope(m)=\frac{y_2-y_1}{x_2-x_1}=\frac{25-225}{60-20}=-5$

Therefore Mandisa uses 5 balloons for each animal, this means that Mandisa uses more.

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2 years ago

The numerator of a given fraction is 4 less than the denominator. if 3 is subtracted from the numerator and 5 is added to the de

Sergeu [11.5K]

Answer:

Step-by-step explanation:Given that the numerator of a given fraction is 4 less than its denominator.

Also given that 3 is subtracted from the numerator and 5 is added to the denominator, the fraction becomes one by fourth .

Let the fraction be

Since the numerator of a given fraction is 4 less than its denominator we have,

Numerator=Denominator-4

⇒ a=b-4

Since 3 is subtracted from the numerator and 5 is added to the denominator, the fraction becomes one by fourth we have

4(a-3)=1(b+5)

4a-12=b+5

4a-b=17

4(b-4)-b=17 ( ∵ a=b-4)

4b-16-b=17

3b=17+16

3b=33

⇒ b=11

Now put b=11 in a=b-4 we get

a=11-4

⇒ the fraction is a/b=7/11

3 0

3 years ago

Which choices are equivalent to the exponential expression below? Check all that apply. (4/5)^3​

Which choices are equivalent to the exponential expression below? Check all that apply. (4/5)^3