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Lyrx [107]
3 years ago
6

Find the ratio a:b, if it is given that a+b=3b

Mathematics
1 answer:
Darya [45]3 years ago
8 0

Answer:

Step-by-step explanation:

a + b = 3b

a = 3b - b

a = 2b

a/b = 2/1

a:b = 2:1

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A ball is thrown into the air with an upward velocity of 48 ft/s. Its height h in feet after t seconds is given by the function
stiv31 [10]
The answer to this, your question is                                                                               h = -16t • 2 + 48t + 6
h = -32t + 48t + 6
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3 years ago
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Kevin filled up his 14-gallon gas tank for $29.26. What was the price per gallon?
Pachacha [2.7K]

Answer:


Step-by-step explanation: You just divide 29.26 dollars by 14 and get the unit rate of ..

2.09

7 0
3 years ago
An investment made in the stock market decreased at a rate of 4.2% per year for 15 years. What is the current value of the $1,00
loris [4]
<span>For exponential decrease use the formula P(1 - r)^t
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8 0
3 years ago
You have 10 gallons of lemonade to sell. (1 gal $\approx$ 3785 cm3) a. Each customer uses 1 paper cup. The cups are sold in pack
SpyIntel [72]

Answer:

The answer to this question can be defined as follows:

Step-by-step explanation:

Calculating the volume of cone cup:

= \frac{1}{3}\pi r^2 h \\\\  = \frac{1}{3}\times 3.14 \times 4^2 \times 11 \\\\ = \frac{1}{3}\times 3.14 \times 16 \times 11 \\\\ = \frac{1}{3}\times 3.14 \times 176 \\\\ =  3.14 \times 58.66 \cong  184.31 cm^3

\to 10 \ gal \times  3,785\  \frac{cm^3}{gal} = 37,850\  cm^3\\\\\to 37,850 cm^3 \times  \frac{(1 \ cone)}{(184.31 \ cm^3)} \times 205.4 \ cones

When buying 5 packages (250 cones):

\to 8 \ gal \times 3,785 \ \frac{cm^3}{gal} = 30,280\ cm^3 \\\\\to 30,280 \ cm^3 \times \frac{(1\ cone)}{(184.31 \ cm^3)} \cong \ 165 \ cones

 Calculating the left over cones values:

\to 250 - 165 = 85

8 0
3 years ago
A countries population in 1991 was 147 million. In 1998 it was 153 million. Estimate the population in 2017 using the exponentia
scoundrel [369]

Answer:

The population in 2017  is 171 million

Step-by-step explanation:

Let's assume population starts from 1991

so,

initial population is 147 million

so, A=147

we can use formula

P=Ae^{kt}

we can plug A=147

P=147e^{kt}

In 1998:

t=1998-1991=7

P=153

now, we can plug these values into formula and find k

153=147e^{7k}

Divide both sides by 147

\frac{147e^{7k}}{147}=\frac{153}{147}

e^{7k}=\frac{51}{49}

\ln \left(e^{7k}\right)=\ln \left(\frac{51}{49}\right)

k=\frac{\ln \left(\frac{51}{49}\right)}{7}

k=0.00572

now, we can plug it back

and we get

P=147e^{0.00572t}

In 2017:

t=2017-1991=26

we can plug it and find P

P=147e^{0.00572\times 26}

P=170.57

So,

The population in 2017  is 171 million

5 0
3 years ago
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