Answer:
Plan A and plan B both lasts for 1.25 hours.
Step-by-step explanation:
Trainer has two solo workout plans Plan A and Plan B.
Let the trainer trains for plan A = x hours and for plan B = y hours
As per statement given in the question,
"Dueshan trained his Monday clients for a total of 10 hours"
Equation will be, 3x + 5y = 10 --------(1)
And other statement says,
"Dueshan trained his Tuesday clients for a total of 10 hours"
6x + 2y = 10
3x + y = 5
y = 5 - 3x ----------(2)
Replace the value of y in equation 2 from equation 1.
3x + 5(5 - 3x) = 10
3x + 25 - 15x = 10
25 - 12x = 10
12x = 25 - 10
12x = 15
x = 
x = 1.25 hours
From equation 1
y = 5 - 3×1.25
y = 5 - 3.75
y = 1.25 hours
Therefore, plan A and plan B both lasts for 1.25 hours.
Answer:
s = 0.75 inches
Step-by-step explanation:
Let s = side length of the original square
s + 3 = side length of the new square
Area of a square = s²
A = s²
A = (s+3)²
A = s² + 6s + 9
Area multiplied by 25 = 25 * s²
So,
s² + 6s + 9 = 25s²
25s² - s² - 6s - 9 = 0
24s² - 6s - 9 = 0
8s² - 2s - 3 = 0
a = 8
b = -2
c = -3
s = -b ± √b² - 4ac / 2a
= -(-2) ± √(-2)² - 4(8)(-3) / 2(8)
= 2 ± √4 - (-96) / 16
= 2 ± √100 / 16
= 2 ± 10/16
s = 2 + 10/16 or 2-10/16
= 12/16 or -8/16
= 0.75 or -0.5
side length can not be negative
Therefore, s = 0.75
A = s²
A = (0.75)²
= 0.5625
A = (s+3)²
= (0.75+3)²
= 3.75²
= 13.95
Answer:
1,570 cubic cm
Step-by-step explanation:
Given,
Radius of the cone = 10 cm
Height of the cone = 15 cm
Therefore, volume of the cone
= <u>1,570 cubic cm (Ans)</u>
Answer:
understand
Step-by-step explanation:
hope it's helpful for you
The standard form of a linear equation in general is given by:
Now we are given the equation :
In order to convert this into standard equation, we have to eliminate the 3 in the second term on the left side of equation.
Here 3 is in division ,so we have to perform opposite operation of division that is multiplication.
So multiplying both sides by 3 , we have
So that means option A.Multiply both sides of the equation by 3. The standard form of the equation is 12x – 2y = 24. is the correct advice given by Sofiya.
