Answer:
3.6
Step-by-step explanation:
We must first clarify how a number is rounded.
To round a number to unity we have to look at the first number after the comma.
If this number is less than 5 (1, 2, 3, 4) we should not do anything, but if that number is 5 or greater (5, 6, 7, 8, 9) we must add a unit to the number.
That is to say:
<5 do nothing
=> 5 round to the next number (+1)
So in the case of 3.55 it would be.
3.55 = 3.6
Answer:
4³=64
Step-by-step explanation:
A number raised to a power implies the repeated multiplication of that number by itself to the value of its power.
Hence, four raised to the third power means multiplication of 4 by itself 3 times( 3 being the value of its exponent).
》 4×4×4=64
1 + 3n + 7n = 7(n + 4) + 6(3n + 3)
1 + 3n + 7n = 7n + 28 + 18n + 18
10n + 1 = 25n +46
25n - 10n = 1 - 46
15n = -45
n = -45/15
n =-3
Answer:
13km
Step-by-step explanation:
Given data
Time= 8 days
Speed= 2 1/6 kilometers per day = 13/6 kilometers per day
Distance= ??
We know that
Speed= distance/time
therefore, Distance= speed*time
substitute
Distance= 13/6*8
Distance= 104/8
Distance= 13 km
Hence the crew did 13km
value of x = -2 and value of y = 6
The graph is shown in figure below.
The point of intersection is: (-2,6)
Step-by-step explanation:
We need to graph the system of linear equations.
Let:
![y-10=2x\,\,eq(1)\\x+2y=10\,\,eq(2)](https://tex.z-dn.net/?f=y-10%3D2x%5C%2C%5C%2Ceq%281%29%5C%5Cx%2B2y%3D10%5C%2C%5C%2Ceq%282%29)
First we will find the values of x and y to plot it on the graph.
-2x+y=10
x+2y=10
Multiply eq(2) by 2 and add both equations:
![-2x+y=10\\2x+4y=20\\-------\\0+5y=30\\5y=30\\y=30/5\\y=6](https://tex.z-dn.net/?f=-2x%2By%3D10%5C%5C2x%2B4y%3D20%5C%5C-------%5C%5C0%2B5y%3D30%5C%5C5y%3D30%5C%5Cy%3D30%2F5%5C%5Cy%3D6)
Putting value of y in eq(2)
![x+2y=10\\x+2(6)=10\\x+12=10\\x=10-12\\x=-2](https://tex.z-dn.net/?f=x%2B2y%3D10%5C%5Cx%2B2%286%29%3D10%5C%5Cx%2B12%3D10%5C%5Cx%3D10-12%5C%5Cx%3D-2)
So, value of x = -2 and value of y = 6
Now plot on the graph x=-2 and y=6
The graph is shown in figure below.
The point of intersection is: (-2,6)
Verifying the solution:
Verify the solution by putting value of x and y in eq(1) or 2
![x+2y=10\\-2+2(6)=10\\-2+12=10\\10=10](https://tex.z-dn.net/?f=x%2B2y%3D10%5C%5C-2%2B2%286%29%3D10%5C%5C-2%2B12%3D10%5C%5C10%3D10)
Keywords: System of equations
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