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Luden [163]
3 years ago
8

Solve the equation 5x + 8 - 3x = 10

Mathematics
1 answer:
ra1l [238]3 years ago
6 0

Answer: X=1


Step-by-step explanation: 5x+8-3x=10

Combine like terms; 5x + (-3x) = 2x

Rewrite; 2x+8=10

Get “x” alone; 2x+8=10

-8. -8

Simply divsion; 2x=2

X=1


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Eight two-person teams are participating in a three-legged race. Find the number of orders in which all 8 teams can finish the r
Wewaii [24]
Each team needs two people for a 3-legged race.
Therefore, the number of orders (combinations) of 2 people at a time from 8 is
₈C₂ = 8!/(2!6!)
      = (8*7*6!)/(2*6!)
      = (8*7)/2
      = 56/2
      = 28

Answer: 28
8 0
3 years ago
You need a 15% acid solution for a certain test, but your supplier only ships 5% solution and 17.5% solution. If you need 20 lit
Nimfa-mama [501]

Answer:

4 liters of 5% and 16 liters of 17.5%

Step-by-step explanation:

Let quantity of 5% be x liters and of 17.5% be y liters

x+y=20 hence y=20-x

Introducing percentages

0.05x+0.175(20-x)=0.15*20

0.05x+3.5-0.175x=3

-0.125x=-0.5

x=\frac {-0.5}{-0.125}=4

Therefore, y=20-x=20-4=16

You need 4 liters of 5% and 16 liters of 17.5% to achieve 20 liters of 15% acid solution

6 0
3 years ago
Read 2 more answers
What is the square root of 108 in simplified radical form?
Alenkinab [10]
\sqrt{108}=\sqrt{36 \times 3}=\sqrt{36} \times \sqrt{3}=6 \times \sqrt{3}=\boxed{6\sqrt{3}}
5 0
3 years ago
Is -7x=2y-6 a direct proportion?
olga_2 [115]
Yes, it is.and I have to keep typing because I need a character at least 20
8 0
3 years ago
Mary leaves her house to take a walk. The graph shows the distance, d, in feet from her house that Mary is at any given time, t,
Vitek1552 [10]
You haven't provided the graph, therefore, I cannot provide you with a specific solution for this question.
However, I will tell you how to solve it and you can apply on the graph you have.

Now, we are given that:
x-axis represents the distance in ft
y-axis represents the time in minutes

To get the time that she has walked when she reaches the farthest point from her house, all you have to do is:
1- go to the greatest point on the x-axis. This point would be representing the farthest distance.
2- get the value of the y corresponding to the x-point you got in step one. This would be the time walked when she reaches the farthest point which is the value you are looking for.

Hope this helps :)
5 0
3 years ago
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