Hello there!
To find the value of n, work to isolate it from all other terms in the equation.
8n+7=31 - Start by subtracting 7 from both sides. 8n + 7 - 7 = 31 - 7
8n = 24 Next, divide both sides by 8 to finish isolating n. 8n÷8 = 24÷8
n = 3
This is your final answer.
I hope this was helpful and have a great rest of your day!
:)
Answer:
7.0 mi
Step-by-step explanation:
see the attached figure to better understand the problem
step 1
Find the measure of angle C
Remember that the sum of the interior angles in any triangle must be equal to 180 degrees
so

substitute the given values

step 2
Find the measure of a
Applying the law of sines

substitute the given values

solve for a

The dimensions of the bottom of the drawer are:
20 cm × 40 cm
So the area is : 800 cm² (rectangular shaped)
The area formula of a circle is:

r²
The diameter of the plate is 20cm
so the radius is half the diameter which is 10cm
Apply the given to the formula:

(10)²
100

314.16 cm²
2 plates in the bottom drawer
Area of two plates:
2 × 314.16
628.32 cm²
Area of the non-covered space in the bottom drawer:
Area of drawer - area of two plates
800 - 628.32
171.68 cm²
F(x) = 3ˣ + 10x and g(x) = 4x – 2, find (f-g)(x)
(f-g)(x) = f(x) - g(x):
(3ˣ + 10x) - (4x - 2) →→→ 3ˣ + 6x - 2. Then:
(f-g)(x) = 3ˣ + 6x - 2