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3 years ago

Eileen has 8 times as many dollars as her sister ,crystal. Eileen had 72 dollars .how much money does crystal have?

Mathematics

2 answers:

Komok [63]3 years ago

4 0

Answer:9

Step-by-step explanation:

Divide Eileen's money by 8

emmainna [20.7K]3 years ago

4 0

Answer:

Step-by-step explanation:

Let Crystal dollar be X

Then Eileen will be 8X

And 8X = 72

Dividing through by 8

X = 72/8

X = 9

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Ms.Graves gave her class 12 minutes to read. Carrie reads 5 1/2 pages in that time. At what rate, in pages per hour, did Carrie

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Answer: 27.5 pages per hour

Step-by-step explanation:

Well, first you make the 12 minutes into an hour (times by 5), then times the pages she read (5.5) by 5, which is 27.5, so she reads 27.5 pages per hour, you can also use 27 and a half pages per hour.

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2 years ago

Read 2 more answers

Rewrite the statement in mathematical notation. (Let y be the distance from the top of the ladder to the floor, x be the distanc

In-s [12.5K]

Answer:

$\frac{dy}{dt}=\frac{6y}{x}\text{ ft per sec}$

Step-by-step explanation:

Let L be the length of the ladder,

Given,

x = the distance from the base of the ladder to the wall, and t be time.

y = distance from the base of the ladder to the wall,

So, by the Pythagoras theorem,

$L^2 = y^2 + x^2$

$\implies L = \sqrt{y^2 + x^2}$ ,

Differentiating with respect to time (t),

$\frac{dL}{dt}=\frac{d}{dt}(\sqrt{x^2 + y^2})$

$=\frac{1}{2\sqrt{x^2 + y^2}}\frac{d}{dt}(x^2 + y^2)$

$=\frac{1}{2\sqrt{x^2 + y^2}}(2x\frac{dx}{dt}+2y\frac{dy}{dt})$

$=\frac{1}{\sqrt{x^2 +y^2}}(x\frac{dx}{dt}+y\frac{dy}{dt})$

Here,

$\frac{dy}{dt}=-6\text{ ft per sec}$

Also, $\frac{dL}{dt} = 0$ ( Ladder length = constant ),

$\implies \frac{1}{\sqrt{x^2 +y^2}}(x(-6)+y\frac{dy}{dt})=0$

$-6x + y\frac{dy}{dt}=0$

$y\frac{dy}{dt}=6x$

$\implies \frac{dy}{dt}=\frac{6y}{x}\text{ ft per sec}$

Which is the required notation.

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3 years ago

A student has two identical sheets of paper. he crumples one up into a small ball. if he drops the sheet of paper and the ball o

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The air resistance acting on the un-crumbled sheet is greater.

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2 years ago

Read 2 more answers

F(x)=x^3+10x^2+31x+30

Colt1911 [192]

The factors of the given polynomial will be ( x + 2 ), ( x + 5 ) and ( x + 3 ).

<h3>What is an expression?</h3>

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division.

The given expression will be solved as:-

f(x) = x³ + 10x² + 31x + 30

f(x) = ( x³ + 7x² + 10x + 3x² + 21x + 30

f(x) = ( x² + 7x + 10 ) ( (x + 3 )

f(x) = ( x²+ 5x + 2x + 10 ) ( x + 3 )

f(x) =[ x ( x+ 5 ) +2 ( x+ 5) ] ( x + 3 )

f(x) = ( x + 5 ) ( x + 2 ) ( x + 3 )

Therefore factors of the given polynomial will be ( x + 2 ), ( x + 5 ) and ( x + 3 ).

To know more about Expression follow

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