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3 years ago

Plz help me find the unit rate and explain.

Mathematics

1 answer:

Paladinen [302]3 years ago

5 0

(4/5)/(2/3)=4/5*3/2=12/10=1 1/5
two fractions dividing is the same as two fractions multiplying with the second fraction flipped around
1 1/5 yards per second

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A number to the 12th power divided by the same number to the 9th power equals 216. What is the number?

Annette [7]

Answer:

The given such number is 6.

Step-by-step explanation:

Let the given such number = m

Now, according to the question, the given expression is:

$\frac{(m^{12}) }{(m^{9}) } = 216$

By the LAW OF EXPONENTS:

$\frac{x^a}{x^b} = x^{(a-b)}$

⇒Here $\frac{m^{12}}{m^9} = m^{(12-9)} = m^{(3)}$

or, the given expression becomes $m^3 = 216\\\implies m = \sqrt[3]{216} = 6$

or, m = 6

Hence, the given such number is 6.

8 0

3 years ago

Write the pair of fractions as a pair of fractions with a common denominator 1/2 and 1/3

ICE Princess25 [194]

Answer:

1/6? it has the common denominator

6 0

4 years ago

Read 2 more answers

6. Mary earns $7 an hour working at the local kennel. She is trying to save money to buy a

Sholpan [36]

Answer:

Step-by-step explanation:

7 times a number will add up to 210

3 0

3 years ago

A population of 490 bacteria is introduced into a culture and grows in number according to the equation below, where t is measur

Lera25 [3.4K]

Answer:

Rate of growth of bacteria when t=2 is 3.09 bacteria/hour

Step-by-step explanation:

As equation is not given so considering the Equation of growth of bacteria as

$P=490(1+\frac{4t}{50+t^{2}})$

We have to find the rate at which population is growing. To do so differentiate above equation w.r.to 't'

$\frac{dP}{dt}=\frac{d}{dt}490(1+\frac{4t}{50+t^{2}})\\\\\frac{dP}{dt}=490(\frac{d}{dt}(1)+\frac{d}{dt}(\frac{4t}{50+t^{2}}))\\\\\frac{dP}{dt}=490(0+\frac{4(50+t^{2})-(4t)(2t)}{(50+t^{2})^{2}})\\\\\frac{dP}{dt}=490(\frac{200+4t^{2}-8t^{2}}{(50+t^{2})^{2}})\\\\\frac{dP}{dt}=490(\frac{4(50-t^{2})}{(50+t^{2})^{2}})\\\\at\,\,t=2hours\\\\\frac{dP}{dt}=490(\frac{4(50-(2)^{2})}{(50+(2)^{2})^{2}})\\\\\\\frac{dP}{dt}=490(\frac{4(50-4)}{(50+4)^{2}})\\\\=3.09$

Rate of growth of bacteria when t=2 is 3.09 bacteria/hour

8 0

3 years ago

Randall opened a lemonade stand. He spent $3.50 on lemons, water, and sugar. He spent another $2.00 on cups. Randall sold 15 cup

vlada-n [284]

Answer:

$7.50

Step-by-step explanation:

ok so if you add $0.50 to every cup every 2 cups give you a dollar

1 cups $0.50

2 cups $1.00

3 cups $1.50

4 cups $2.00

5 cups $2.50

6 cups $3.00

7 cups $3.50

8 cups $4.00

9 cups $4.50

10 cups $5.00 11 cups $5.50 12 cups $6.00 13 cups $6.50 14 cups $7.00 15 cups $7.50

7 0

3 years ago