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NISA [10]
3 years ago
8

Nicole’s friend runs 3/8 of a mile, but her distance is only 3/5 of Nicole’s distance. How far does Nicole run?

Mathematics
1 answer:
salantis [7]3 years ago
4 0

Step-by-step explanation:

<h3><u>Required Answer</u><u>:</u><u>-</u></h3>

Let distance travelled by Nichol =x

<h2>ATQ</h2>

{:}\longrightarrow\sf {\dfrac {3}{5}}\times x={\dfrac {3}{8}}

{:}\longrightarrow\sf {\dfrac {3x}{5}}={\dfrac {3}{8}}

{:}\longrightarrow\sf 8 (3x)=5×3

{:}\longrightarrow\sf 24x=15

{:}\longrightarrow\sf x={\dfrac{24}{15}}

{:}\longrightarrow\sf x=1.6

\therefore Nichol runs 1.6miles .

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3 0
3 years ago
Write a polynomial of least degree with rational coefficients and with the root -19-5 square root 2.
iogann1982 [59]

Answer:

y = x² + 38x + 311

Step-by-step explanation:

If a polynomial has rational coefficients and irrational roots, then the roots must be conjugate pairs.

y = (x − (-19-5√2)) (x − (-19+5√2))

y = (x + 19+5√2) (x + 19−5√2)

Use FOIL to distribute:

y = x² + x (19−5√2) + x (19+5√2) + (19+5√2)(19−5√2)

y = x² + 19x − 5√2 x + 19x + 5√2 x + (19+5√2)(19−5√2)

y = x² + 38x + (19+5√2)(19−5√2)

Use FOIL to distribute the last term:

y = x² + 38x + 19² − 95√2 + 95√2 − 50

y = x² + 38x + 361 − 50

y = x² + 38x + 311

5 0
3 years ago
Rob peeled 125 oranges in 5 hours. At that rate, how many oranges<br> would he peel in 12 minutes?
marin [14]

Answer:

\boxed {\tt 5 \ oranges}

Step-by-step explanation:

Let's set up a proportion.

\frac{oranges}{minutes} =\frac{oranges}{minutes}

He can peel 125 oranges in 5 hours. First, let's find the minutes in 5 hours.

There are 60 minutes in 1 hour, so multiply 60 and 5 (60*5=300). There are 300 minutes in 5 hours.

\frac{125 \ oranges}{300 \ minutes}=\frac{oranges}{minutes}

We don't know how many oranges he can peel in 12 minutes. So we say he can peel x oranges in 12 minutes.

\frac{125 \ oranges}{300 \ minutes}=\frac{x \ oranges}{12 \ minutes}

\frac{125 \ }{300 \ }=\frac{x \ }{12 }

Solve for x by isolating it. x is being divided by 12. The inverse of division is multiplication. Multiply both sides of the proportion by 12.

12*\frac{125 \ }{300 \ }=\frac{x \ }{12 \ }*12

12*\frac{125 \ }{300 \ }=x

12*0.416666667=x

5=x

Rob can peel 5 oranges in 12 minutes.

6 0
3 years ago
Read 2 more answers
How many solutions are there to an inequality?
zhenek [66]

Answer: 3

Step-by-step explanation: There can be none, one, or infinite solutions. Therefore there can be up to three possible solutions to an inequality.

6 0
2 years ago
after five years of earning interest at an annual rate of 4% and investment has earned $1,200 in interest determine the amount o
loris [4]

Answer:

$6000

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$1200/5years =$240/1yr

$240=4%

:. 1%=$60

Initial investment =$60*100%=$6000

6 0
3 years ago
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