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3 years ago

What is the rate 470 feet in five years written as feet per year?

Mathematics

1 answer:

MaRussiya [10]3 years ago

6 0

Answer:

94 feet per year

Step-by-step explanation:

470/5 = 94

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Andrea and Carmen work at the same store. Last week, Andrea worked 9.25 hours, which was 45% of the amount of time Carmen worked

melamori03 [73]

Convert the percentage into a decimal:

$45 \div 100 = 0.45$

Set up a proportion using the hours Andrea worked, and the percentage compared to Carmen's workload:

$\frac{9.25}{0.45} = \frac{x}{1}$

The numerator will represent the hours worked, and the denominator will represent the percentage when compared to Carmen's workload.

Cross multiply the fractions:

$0.45x = 9.25$

Divide both sides by 0.45 to get x by itself:

$x = 20.56$

Carmen worked 20.56 hours last week.

3 0

4 years ago

Read 2 more answers

Which would be the correct answer?

Strike441 [17]

9514 1404 393

Answer:

(a) 5/6 < 1∴ product < 2 3/8

Step-by-step explanation:

Multiplying any number by a positive value less than 1 will reduce its magnitude. 5/6 × 2 3/8 will be less than 2 3/8 because 5/6 is less than 1.

5 0

3 years ago

Solve these linear equations in the form y=yn+yp with yn=y(0)e^at.

WINSTONCH [101]

Answer:

a) $y(t) = y_{0}e^{4t} + 2$ . It does not have a steady state

b) $y(t) = y_{0}e^{-4t} + 2$ . It has a steady state.

Step-by-step explanation:

a) $y' -4y = -8$

The first step is finding $y_{n}(t)$ . So:

$y' - 4y = 0$

We have to find the eigenvalues of this differential equation, which are the roots of this equation:

$r - 4 = 0$

$r = 4$

So:

$y_{n}(t) = y_{0}e^{4t}$

Since this differential equation has a positive eigenvalue, it does not have a steady state.

Now as for the particular solution.

Since the differential equation is equaled to a constant, the particular solution is going to have the following format:

$y_{p}(t) = C$

$(y_{p})' -4(y_{p}) = -8$

$(C)' - 4C = -8$

C is a constant, so (C)' = 0.

$-4C = -8$

$4C = 8$

$C = 2$

The solution in the form is

$y(t) = y_{n}(t) + y_{p}(t)$

$y(t) = y_{0}e^{4t} + 2$

b) $y' +4y = 8$

The first step is finding $y_{n}(t)$ . So:

$y' + 4y = 0$

We have to find the eigenvalues of this differential equation, which are the roots of this equation:

$r + 4 =$

$r = -4$

So:

$y_{n}(t) = y_{0}e^{-4t}$

Since this differential equation does not have a positive eigenvalue, it has a steady state.

Now as for the particular solution.

Since the differential equation is equaled to a constant, the particular solution is going to have the following format:

$y_{p}(t) = C$

$(y_{p})' +4(y_{p}) = 8$

$(C)' + 4C = 8$

C is a constant, so (C)' = 0.

$4C = 8$

$C = 2$

The solution in the form is

$y(t) = y_{n}(t) + y_{p}(t)$

$y(t) = y_{0}e^{-4t} + 2$

6 0

3 years ago

Math Contest Problem - Calculate angle x

Arte-miy333 [17]

Not exactly sure but I think you can find the measure of the intercepted arc by using the angle of the tangent using a formula and then subtracting and dividing by two because the axis of angle x is on the circle

4 0

3 years ago

PLEASE HELP ASAP!!! (answer in decimal)

Nookie1986 [14]

Answer:

re send it

Step-by-step explanation:

5 0

3 years ago