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2 years ago

240 fluid ounces equals how many cups

Mathematics

2 answers:

kolezko [41]2 years ago

5 0

Well we know that theres 8 fluid ounces in 1 cup.

240/8=30

so 30 cups are in 240 fluid ounces

elena-s [515]2 years ago

3 0

240 fluid ounces equals 30 cups

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OverLord2011 [107]

Answer:

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Step-by-step explanation:

Just compare the numbers to the dots.

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2 years ago

Read 2 more answers

Prove the divisibility:<br><br>45^45·15^15 by 75^30

garri49 [273]

Answer:

$3^{75}$ .

Step-by-step explanation:

We have been an division problem: $\frac{45^{45}*15^{15}}{75^{30}}$ .

We will simplify our division problem using rules of exponents.

Using product rule of exponents $(a*b)^n=a^n*b^n$ we can write:

$45^{45}=(9*5)^{45}=9^{45}*5^{45}$

$15^{15}=(3*5)^{15}=3^{15}*5^{15}$

$75^{30}=(15*5)^{30}=15^{30}*5^{30}$

Substituting these values in our division problem we will get,

$\frac{9^{45}*5^{45}*3^{15}*5^{15}}{15^{30}*5^{30}}$

Using power rule of exponents $a^n*a^m=a^{n+m}$ we will get,

$\frac{9^{45}*5^{(45+15)}*3^{15}}{15^{30}*5^{30}}$

$\frac{9^{45}*5^{60}*3^{15}}{15^{30}*5^{30}}$

Using product rule of exponents $(a*b)^n=a^n*b^n$ we will get,

$\frac{(3*3)^{45}*5^{60}*3^{15}}{(3*5)^{30}*5^{30}}$

$\frac{3^{45}*3^{45}*5^{60}*3^{15}}{3^{30}*5^{30}*5^{30}}$

Using power rule of exponents $a^n*a^m=a^{n+m}$ we will get,

$\frac{3^{(45+45+15)}*5^{60}}{3^{30}*5^{(30+30)}}$

$\frac{3^{105}*5^{60}}{3^{30}*5^{60}}$

$\frac{3^{105}}{3^{30}}$

Using quotient rule of exponent $\frac{a^m}{a^n}=a^{m-n}$ we will get,

$\frac{3^{105}}{3^{30}}=3^{105-30}$

$3^{105-30}=3^{75}$

Therefore, our resulting quotient will be $3^{75}$ .

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3 years ago

Draw a bar model that shows how the number of hour in March compares with the number of hours in Feburary this year.

babunello [35]

You have to actually draw one

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3 years ago

A person deposited Rs. 80,000 in bank 'P' for 2 years at the rate of 10% annual compound interest. But after one year bank has c

stellarik [79]

Answer:

compound interest in year 2 is 12.75% than compound interest in year 1. This is because semi annual compounding yield a higher compound interest

Step-by-step explanation:

compound interest = future value - present value

The formula for calculating future value:

FV = P (1 + r/m)^nm

FV = Future value

P = Present value

R = interest rate

N = number of years

m = number of compounding

compound value in the first year = 80,000(1.1)^1 = 88,000

compound interest = 88,000 - 80,000 = 8,000

compound interest in the second year = 88,000(1 + 0.01/2)^2 = 97,020

compound interest = 97,020 - 88,000 = 9020

Percentage change = (9020 / 8,000) - 1 = 12.75%

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3 years ago

He deposits $4,500 in an account that pays 1.5% interest, compounded quarterly. What is his balance after 5 years?\

anygoal [31]

Answer:

His balance is $4,849.65 after 5 years

Step-by-step explanation:

A = P(1 + r/n)^nt

A = future value = ?

P = present value = $4,500

r = interest rate = 1.5% = 0.015

n = number of periods = 4

t = time = 5 years

A = P(1 + r/n)^nt

= 4,500(1 + 0.015/4)^4*5

= 4,500(1 + 0.00375)^20

= 4,500(1.00375)^20

= 4,500(1.0777)

= 4,849.65

A = $4,849.65

His balance is $4,849.65 after 5 years

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3 years ago