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3 years ago

Consider the number set: 11, 12, 13, 14

Mathematics

1 answer:

KATRIN_1 [288]3 years ago

6 0

Answer:

Answer c) (13)

Step-by-step explanation:

Begin with 3x+2x-45=20. Go through the steps of solving this for x.

Combining like terms, we get 5x = 65.

Dividing both sides by 5, we get x = 13.

Answer c) (13) is the correct answer/solution/root.

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So x(5x-3x)=x×2x

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Which is given as 18.

X^2=18÷4

=4.5

So x=root over 4.5

Which is approximately 2.25

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A recipe uses 8 cups of milk for every 3 cups of oatmeal.

vampirchik [111]

If you divide 8 by three and you'd get 26 but the 6 keep reapeting

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3 years ago

From 1960 to 1980 , the consumer price index (cpi) increased from 29.6 to 82.4. If a frozen chicken pie cost $0.28 in 1960 and t

mojhsa [17]

CPI in 1960 = 29.6

CPI in 1980 = 82.4

Growth (%) in CPI = $\frac{\text{CPI in 1980 - CPI in 1960}}{\text{CPI in 1960}}$ × 100

⇒ Growth (%) in CPI = $\frac{82.4-29.6}{29.6}$ × 100

⇒ Growth (%) in CPI = 178.3783.. %

⇒ Growth (%) in CPI = 178.4%

Now, we know that price of frozen chicken pie in 1960 = $0.28

Also, we know that over 1960 to 1980, frozen chicken pie price grew at the same rate as CPI

Hence, Price of Chicken Pie in 1980 = Price of Chicken Pie in 1960 × (1 + Growth in CPI)

⇒ Price of Chicken Pie in 1980 = 0.28 × (1 + 178.4%)

⇒ Price of Chicken Pie in 1980 = 0.28 + (0.28 × 178.4%)

⇒ Price of Chicken Pie in 1980 = 0.28 + 0.49952

⇒ Price of Chicken Pie in 1980 = 0.28 + 0.50

⇒ Price of Chicken Pie in 1980 = $0.78

Hence, price of chicken pie in 1980 would be ~$0.78

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3 years ago

Read 2 more answers

The rate of change of the volume of a snowball that is melting is proportional to the surface area of the snowball. Suppose the

Alisiya [41]

Answer:

According to the passage, we have the next equation:

$\frac{dV}{dt} = \frac{4}{3}\pi*3*r^{2}*\frac{dr}{dt} = K*(4\pi*r^{2} )$

where "K" is a proportional constant

Leaving at the end with the next equation:

$\frac{dr}{dt} = K$

Integrating the equation, we have:

$r=K*t+C$

where "C" is a constant

Then, we have the 2 conditions for the problem:

1) t=0 → r=10

Replacing in the equation, we have C = 10

2) t=5 → r=8

Replacing in the equation, we have K = -0.4

Finally, the time which the snowball will be completely melted will be when r = 0. So replacing in the equation

$0=-0.4*t+10$

t = 25 minutes

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3 years ago