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3 years ago

7

Alan's aunt gave him $95 to spend on clothes at the mall. He bought 5 shirts that cost $6 each and a pair of pants that cost $17

. How much money does Alan have left to buy more clothes? (one more)

1 answer:

Daniel [21]3 years ago

4 0

Answer:

he has 48 dollars left to spend on clothes

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Newton has 28 cows Sally has 17 what is the sum?<br>

melamori03 [73]

Answer: 45

Step-by-step explanation:

Sum is addition so it would be

28+17=45

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3 years ago

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An amusement park charges a $12 parking fee plus 25 per person. What is the total cost for 32 people?

icang [17]

Answer:

The total amount for 32 people is 15.36

Step-by-step explanation:

we know that for 25 people is $12 so we need to find how much it would be for one person. you would need to divide $12 / 25. from this you would get 0.48, so for one person it's 48 cents. next you're going to subtract 25 from 32, this leaves you with seven people who aren't in a group of 25. you then multiply 7 × this equals to 3.36, add 3.36 to $12 and you'll get your total 15.36.

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3 years ago

Find the general solution of {y}''-3y=8e^{3t}+4sin(t) .

babunello [35]

Answer:

$y(x)=C_1e^{\sqrt3t}+C_2e^{-\sqrt3t}-\frac{4}{3}e^{3t}-sint$

Step-by-step explanation:

We are given that linear differential equation

$y''-3y=8e^{3t}+4 sint$

Auxillary equation

$D^2-3=0$

$D=\pm \sqrt3$

C.F= $C_1e^{\sqrt3t}+C_2e^{-\sqrt3}$

P.I= $\frac{8e^{3t}+4sin t}{D^2-3}$

P.I= $\frac{8e^{3t}}{9-3}+4\frac{sint }{-1-3}$

P.I= $e^{ax}{\phi (D+a)}$ and $P.I=\frac{sinax}{(\phi D)}$ where D square is replace by - a square

P.I= $-\frac{4}{3}e^{3t}- sint$

Hence, the general solution

G.S=C.F+P.I

$y(x)=C_1e^{\sqrt3t}+C_2e^{-\sqrt3t}-\frac{4}{3}e^{3t}-sint$

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3 years ago

ki77a [65]

Answer:

Distance between the school and the theater = $2\sqrt{13}$ units

Step-by-step explanation:

Use distance formula to calculate the distance from the school (8, 7) and the theater (2, 3):

$d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$

Let,

$school (8, 7) = (x_1, y_1)$

$theater (2, 3) = (x_2, y_2)$

Plug in the values into the distance formula

$d = \sqrt{(2 - 8)^2 + (3 - 7)^2}$

$d = \sqrt{(-6)^2 + (-4)^2}$

$d = \sqrt{36 + 16} = \sqrt{52}$

Simplify

$d = \sqrt{4 \times 13}$

$d = 2\sqrt{13}$

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3 years ago

Two points A(0, -4), B(2, -1) determine line AB.<br> What is the equation of the line AB?

Slav-nsk [51]

Answer:

Answer: y=3/2x-4

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