The solution is B = 43
Step-by-step explanation:
Simplify and solve for the unknown for 5(B + 3) = 4(B - 7) + 2B
- Simplify each side
- Add the like terms in each side if need
- Separate the unknown in one side and the numerical term in the other side to find the value of the unknown
∵ 5(B + 3) = 4(B - 7) + 2B
- Multiply the bracket (B + 3) by 5 in the left hand side and multiply
the bracket (B - 7) by 4 in the right hand side
∵ 5(B + 3 ) = 5(B) + 5(3) = 5B + 15
∵ 4(B - 7) = 4(B) - 4(7) = 4B - 28
∴ 5B + 15 = 4B - 28 + 2B
- Add the like terms in the right hand side
∵ 4B + 2B = 6B
∴ 5B + 15 = 6B - 28
- Add 28 to both sides
∴ 5B + 43 = 6B
- Subtract 5B from both sides
∴ 43 = B
- Switch the two sides
∴ B = 43
To check the answer substitute the value of B in each side if the two sides are equal then the solution is right
The left hand side
∵ 5(43 + 3) = 5(46) = 230
The right hand side
∵ 4(43 - 7) + 2(43) = 4(36) + 86 = 144 + 86 = 230
∴ L.H.S = R.H.S
∴ The solution B = 43 is right
The solution is B = 43
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Answer:
Length = 13 cm
Width = 10 cm
Step-by-step explanation:
We are told that;
- The length of the rectangle is 3 cm more than the width
- Thus taking, the width as x cm
- Then, the length will be (x+3) cm
- The perimeter of the rectangle is 46 cm
We are required to determine the dimensions of the rectangle;
We know that the perimeter of a rectangle is given by the formula;
P = 2(l+w)
In this case;
46 = 2 ( x + x + 3)
Thus;
4x + 6 = 46
Solving for x,
4x = 40
x = 10
This means, the width is 10 cm, while the length is 13 cm
Therefore, the dimensions of the rectangle is length 13 cm and width 10 cm
Answer:
0 —> 15
1 —> 13.75
2 —> 12.5
3 —> 11.25
Step-by-step explanation:
Every time she drives for 1 hour, the car uses up 1.25 gallons of gas. If she fills it up and doesn't drive anywhere, the car will still be full with 15 gallons. If she drives for an hour, you would need to subtract 1.25 from 15 which would equal 13.75.
Then if she drives another hour, then you would subtract another 1.25 from 13.75.
Or a quicker way to do it would be if you multiply the number of hours driven by the gallons used per hour then subtract it from the filled up tank.... So for example if she drove 3 hours —> 3•1.25=3.75 then 15-3.75=11.25
You have the formula wrong
for a sphere its
V=4/3(pie sign)R^3