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creativ13 [48]
3 years ago
5

Marco walked 27/100 kilometer to the park. then he walked 3/10 kilometer to the library. What fraction of a kilometer did he wal

k in all?
Mathematics
1 answer:
liubo4ka [24]3 years ago
3 0

Answer:57/100

Step-by-step explanation:

First, convert 3/10 into hundreths to get a denominator equal to the other:

3/10 km = 30/100km

Add the numerators: 27+30=57

Place numerator over common denominator: 57/100

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Solve the system using substitution. Check your solution.<br> 2x - y= 65<br> 5y = x
lyudmila [28]

Answer:

The solutions to the system of equations are:

x=\frac{325}{9},\:y=\frac{65}{9}

Step-by-step explanation:

Given the system of the equations

\begin{bmatrix}2x-y=65\\ 5y=x\end{bmatrix}

isolate 'x' for 2x-y

2x-y=65

Add y to both sides

2x-y+y=65+y

2x=65+y

Divide both sides by 2

\frac{2x}{2}=\frac{65}{2}+\frac{y}{2}

x=\frac{65+y}{2}

\mathrm{Subsititute\:}x=\frac{65+y}{2}

isolate 'y' for  5y=\frac{65+y}{2}

5y=\frac{65+y}{2}

10y=65+y

subtract y from both sides

10y-y=65+y-y

9y=65

Divide both sides by 9

\frac{9y}{9}=\frac{65}{9}

y=\frac{65}{9}

\mathrm{For\:}x=\frac{65+y}{2}

\mathrm{Subsititute\:}y=\frac{65}{9}

x=\frac{65+\frac{65}{9}}{2}

x=\frac{325}{9}

The solutions to the system of equations are:

x=\frac{325}{9},\:y=\frac{65}{9}

3 0
3 years ago
Which pair of coordinate points has a slope of -2?
ladessa [460]
Have u tried socratic
8 0
2 years ago
Find all solutions in the interval [0,2π) of the equation.
Sauron [17]

Step-by-step explanation:

2sin(x)cos(x) - sin(x) + 2cos(x)-1= 0

<=> sinx( 2cosx -1) + ( 2cosx -1) =0

<=> (sinx +1) + ( 2cosx-1)=0

<=> sinx=-1 or cosx= 1/2

+) sinx=1 => x= pi/2 + k×2pi

+)cosx=1/2 => x= pi/3+ k×2pi or x=-pi/3 + k×2pi

x€ [0,2pi] => x= pi/2, pi/3.

3 0
3 years ago
1) construct 3 equations starting with x= -2​
Kamila [148]
<h3>Hlo sis !!</h3><h3>ur answer is in above attatchment .</h3><h3>Hope this helps u sneha ✌✌</h3>

5 0
2 years ago
(3x^3/2. y^3÷ x^2 y^-1÷2)-2​
ycow [4]

(
3
x
3
2
y
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x
2
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(
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⎛
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5 0
3 years ago
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