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s2008m [1.1K]
2 years ago
6

find the value of x:

Mathematics
1 answer:
gulaghasi [49]2 years ago
8 0

151° Have a great day/night!

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Two skiers are 30 kilometers apart and head towards each other. They meet in 2 hours. If the second skier is 5 kilometers per ho
DENIUS [597]

Answer:

Speed of first skier = 5 km/h

Speed of second skier = 10 km/h

Step-by-step explanation:

Given:

Distance between skiers = 30 km

Time after which they meet = 2 hours

Second skier is 5 km/h faster than the first skier.

To find speed of each skier.

Solution:

Let the speed of first skier be in km/h =x

<em>Distance covered in km 2 hours will be = Speed\times time=x\times 2=2x\ km</em>

Speed of second skier in km/h can be given as = x+5

<em>Distance traveled by second skier after 2 hours will be = Speed\times time=(x+5)\times 2=(2x+10)\ km   [Using distribution]</em>

Since, the skiers were 30 km apart initially, so the total distance covered by both of them when they meet after 2 hours will be = 30 km

Thus, we have:

2x+2x+10=30

Solving for x

4x+10=30

Subtracting both sides by 10.

4x+10-10=30-10

4x=20

Dividing both sides by 4.

\frac{4x}{4}=\frac{20}{4}

x=5

Speed of first skier = 5 km/h

Speed of second skier = 5+5 = 10 km/h

8 0
3 years ago
How do you solve this ?
TEA [102]

JK=9x-11\\KL=5x+2\\JL=(9x-11)+(5x+2)=(9x+5x)+(-11+2)=14x-9\\\\JK+KL=JL\\\\\text{substitute}\\\\14x-9=10x+7\ \ \ \ |+9\\\\14x=10x+16\ \ \ \ |-10x\\\\4x=16\ \ \ \ |:4\\\\x=4\\\\JK=9x-11\to JK=9(4)-11=36-11=25

4 0
3 years ago
What are the coordinates of the vertex of the parabola described by the
ICE Princess25 [194]

Step-by-step explanation:

please type the question properly

3 0
3 years ago
Read 2 more answers
<img src="https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B2x%7D" id="TexFormula1" title="\frac{3}{2x}" alt="\frac{3}{2x}" align="absmid
defon

Answer:

x=35/78

Step-by-step explanation:

3/2x-11/5=(7/8)*(64/49)

3/2x-11/5=8/7

3/2x=8/7+11/5

3/2x=117/35

x=(35*3)/(2*117)

x=35/78

3 0
3 years ago
If you roll a six-sided die 6 times what is the best prediction possible for the number okay you were Roll a 2
stepladder [879]
6 i think im not sure

3 0
3 years ago
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