Answer:
x = 3.3
Step-by-step explanation:
A equation is given to us and we need to solve out for x. The given equation is ,
Take log on both sides with base as " 10" . We have ,
Simplify using the property of log , , we have ,
Simplify ,
Again simplify using the property of log ,
We know that log 5 = 0.69 and log 2 = 0.301 , on substituting this , we have ,
Simplify the RHS ,
Add 2 both sides ,
Hence the Value of x is 3.30 .
Remove the radical by raising each side to the index of the radical.
x = 5/2
The system of linear equations represents the situation is;
x + y = 125
x + y = 1255x + 8y = 775
<h3>Simultaneous equation</h3>
Simultaneous equation is an equation in two unknown values are being solved for at the same time.
let
- number of quick washes = x
- number of premium washes = y
x + y = 125
5x + 8y = 775
From equation (1)
x = 125 - y
5x + 8y = 775
5(125 - y) + 8y = 775
625 - 5y + 8y = 775
- 5y + 8y = 775 - 625
3y = 150
y = 150/3
y = 50
x + y = 125
x + 50 = 125
x = 125 - 50
x = 75
Therefore, the number of quick washes and premium washes Monica’s school band had is 75 and 50 respectively.
Learn more about simultaneous equation:
brainly.com/question/16863577
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Answer:
8.5 inches and 34 inches
Step-by-step explanation:
Area of the square = 72.25
side² = 72.25
side = \sqrt{72.25}
Side = 8.5 in
Perimeter = 4 × side
Perimeter = 4 × 8.5 in
Perimeter = 34 in
Nitrogen Radius = 5.8 x 10⁻¹¹ m
Beryllium Radius = 1.12 x 10⁻¹⁰ m
Let's find the quotient of N/Be :
(5.8x10⁻¹¹)/(1.12x10⁻¹⁰). But 10⁻¹¹/10⁻¹⁰ = 10⁽⁻¹¹⁺¹⁰⁾ = 10⁻¹ = 1/10 = 0.1
→ (5.8/1.12).(0.1) = 0.58/1.12 = 0.518.
Conclusion: the radius of Be is almost double than the radius of N