Hello!
We know that
(x - 10) * 3 = 2x
Distribute the 3
3x - 30 = 2x
Subtract 2x from both sides
x - 30 = 0
Add 30 to both sides
x = 30
The answer is 30
Hope this helps!
Answer:
Solving the given linear system, we get x = 1 and y = -3.
The solution set is: (1,-3)
Step-by-step explanation:
We need to solve the linear system of equations.
We can write second equation y=x-4 as: 
Let:
Now, Adding equation 1 and 2
So, we get x = 1
Now, put value of x in second equation to find value of y:
So, we get y = -3
Solving the given linear system, we get x = 1 and y = -3.
The solution set is: (1,-3)
The surface area of the prism is equal to the summed up area of the faces of the triangular prism.
The bases of the prism would be triangles with an unknown base, b, and height of 3. The area of the base is calculated through the equation,
A = bh/2
where b is base and h is height. Substituting the values,
A = b(3)/2
Since there are two bases, the contribution of the triangles for the surface area is,
2A = 3b
Next we calculate for the area of the triangle sides with length equal to b (same as the base of the triangle).
Area = b(12 km)
There are 3 sides such that the total area becomes,
Area = 36b
Hence, the surface area is,
48.735 km² = 3b + (36b)
The value of b from the equation is 1.25 km
<em>ANSWER: 1.25 km</em>
Answer:
72000
Step-by-step explanation:
First five digit number is 10000
And the last five digit number is 99999.
There are 99999-10000+1 five digits in all.
That simplifies to 89999+1=90000.
Any number whose units digit is 5 or 0 is divisble by 5.
10000 is the first five digit number that is divisble by 5.
10000+5k where k is a positive integer can be used to find any after.
The last five digit number divisible by 5 is 99995. What is k then?
10000+5k=99995
5k=89995
k=89995/5
k=17999
How many 5 digit numbers are divisble by 5?
So the first one happens at k=0 and the last one happens at k=17999.
How many numbers is that? 17999+1=18000.
So the number of 5 digit numbers that aren't divisble by 5 is 90000-18000=72000
10 × 30 = 300
(20 characters thing)
