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Lapatulllka [165]
3 years ago
11

A​ student's cost for last semester at her community college was ​$2000. She spent ​$280 of that on books. What percent of last​

semester's college costs was spent on​ books?
Mathematics
1 answer:
Usimov [2.4K]3 years ago
8 0

Answer:

14%

Step-by-step explanation:

A way I usually do it is with a fraction setup.

280/2000 = ?/100

multiply 280 by 100, and you get 28000. divide this by 2000, and you get 14!

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Anne-marienhas saved 9 dollars for a new coat that is 1/6 as much money as she needs how much does the coat cost
Tatiana [17]

Answer:

Cost of the coat = $54

Step-by-step explanation:

Given:

She saved = $ 9

To Find:

Cost of the coat = ?

Solution:

Let the price of coat be x

She saved $9

and according to given condition it is 1/6 of the total money she needs for buying coat

by this we have

\frac{1}{6}*x = 9

Multiplying both sides by 6

\frac{1}{6}*x*6 = 9*6

it becomes

x = 9*6

x = $54

As x is the amount she needs

so

Cost of the coat = $54


7 0
4 years ago
Solve the given differential equation by using an appropriate substitution. The DE is a Bernoulli equation.
Mama L [17]

Multiplying both sides by y^2 gives

xy^2\dfrac{\mathrm dy}{\mathrm dx}+y^3=1

so that substituting v=y^3 and hence \frac{\mathrm dv}{\mathrm dv}=3y^2\frac{\mathrm dy}{\mathrm dx} gives the linear ODE,

\dfrac x3\dfrac{\mathrm dv}{\mathrm dx}+v=1

Now multiply both sides by 3x^2 to get

x^3\dfrac{\mathrm dv}{\mathrm dx}+3x^2v=3x^2

so that the left side condenses into the derivative of a product.

\dfrac{\mathrm d}{\mathrm dx}[x^3v]=3x^2

Integrate both sides, then solve for v, then for y:

x^3v=\displaystyle\int3x^2\,\mathrm dx

x^3v=x^3+C

v=1+\dfrac C{x^3}

y^3=1+\dfrac C{x^3}

\boxed{y=\sqrt[3]{1+\dfrac C{x^3}}}

6 0
3 years ago
Find the distance between (-2, 3) & (-7, -7). Round to the nearest tenth.
andre [41]

Answer:

11.2 units

Step-by-step explanation:

From (-7, -7) to (-2, 3) is 5 units horizontally  and  10 units vertically.  Thus we have a right triangle with sides 5 and 10 respectively.  The length of the hypotenuse of this triangle is the distance between (-2, 3) & (-7, -7):

d = √(5² + 10²) = √(25 + 100) = √125 = √25√5, or 5√5.

This is approximately 11.2 units

6 0
3 years ago
Read 2 more answers
If a girl in a bikini has walked 4 KM in 10 minutes, How many kilometers does she walk in 3 years?
Mashutka [201]

Answer:

631139.04 kilometers in 3 years

Step-by-step explanation:

Let x = how many kilometers she walk

y = time (minutes)

Since she walks 4km in 10 minutes.

x = 4, y = 10

(4,10)

But how many minutes if she walk only a kilometer? Divide x and y by 4.

(1,2.5)

She walks a kilometer under 2.5 minutes.

Now finding rate of changes.

\displaystyle \large{m =  \frac{10 - 2.5}{4 - 1} } \\  \displaystyle \large{m =  \frac{7.5}{3} } \\ \displaystyle \large{m =  2.5}

Since m = 2.5

and of course, the function should be proportional so the equation should be y = mx.

\displaystyle \large{y = 2.5x }

Since time should be minutes instead of years.

Since 3 years = 1577847.6 minutes

\displaystyle \large{1577847.6 = 2.5x}

Divide both sides by 2.5

\displaystyle \large{ \frac{1577847.6}{2.5} = x} \\ \displaystyle \large{631139.04 = x }

5 0
2 years ago
Fiona is trying to prove that a pair of expressions are equivalent by using substitution. Which pair of expressions has the same
katen-ka-za [31]

Answer:

the answer is A i finished that test now im on another test and timed sorry for no explanation

Step-by-step explanation:

A

7 0
3 years ago
Read 2 more answers
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