Equation To write :2 {x+ ( x+5) }=30
Let's solve your equation step-by-step.
2(x+x+5)=30
Step 1: Simplify both sides of the equation.
2(x+x+5)=30
(2)(x)+(2)(x)+(2)(5)=30(Distribute)
2x+2x+10=30
(2x+2x)+(10)=30(Combine Like Terms)
4x+10=30
4x+10=30
Step 2: Subtract 10 from both sides.
4x+10−10=30−10
4x=20
Step 3: Divide both sides by 4.
4x
4
=
20
4
x=5
So... x+5=10.
Area =5x10=50 cm squared.
Answer:
128 times
Step-by-step explanation:
Total cups = volume per meal × no. of meals
C = V × n
Divide each side by V
n = C/V = 48/(⅜)
Invert the fraction and multiply
n = 48 × ⁸/₃
Cancel 3s
n = 16 × 8
Multiply
n = 128
Ryan can eat pancakes 128 times from his giant bottle without running out of syrup.
Taking the derivative of 7 times secant of x^3:
We take out 7 as a constant focus on secant (x^3)
To take the derivative, we use the chain rule, taking the derivative of the inside, bringing it out, and then the derivative of the original function. For example:
The derivative of x^3 is 3x^2, and the derivative of secant is tan(x) and sec(x).
Knowing this: secant (x^3) becomes tan(x^3) * sec(x^3) * 3x^2. We transform tan(x^3) into sin(x^3)/cos(x^3) since tan(x) = sin(x)/cos(x). Then secant(x^3) becomes 1/cos(x^3) since the secant is the reciprocal of the cosine.
We then multiply everything together to simplify:
sin(x^3) * 3x^2/ cos(x^3) * cos(x^3) becomes
3x^2 * sin(x^3)/(cos(x^3))^2
and multiplying the constant 7 from the beginning:
7 * 3x^2 = 21x^2, so...
our derivative is 21x^2 * sin(x^3)/(cos(x^3))^2
Answer:
$17.20
Step-by-step explanation:
Total commission = cost x percent commission rate
86 x 20 % = 17.20
Total commission = $17.20
