Answer:
Step-by-step explanation:
If you would like to write the following in the math expression, you can do this using these steps:
a number ... n
eight less than four times a number ... 4 * n - 8
is less than 56 ... < 56
4 * n - 8 < 56
4 * n < 56 + 8
4 * n < 64 /4
n < 64 / 4
n < 16
The possible values of that number are less than 16.
Answer:
196 cm²-153.9375 cm² = 42.0625 cm ²
Step-by-step explanation:
First, solve for the whole 14^2 = 196 cm²
Now, we know it's lenths are the same so it's a square.
Lastly we need to deduct the quarter circle in the square. Use Formula A=πr² = A≈615.75 cm² /4 = 153.9375 cm²
Answer:
n = -4
Step-by-step explanation:
−5(n+3)=6(n+4)+5
Step 1: Simplify both sides of the equation.
−5(n+3)=6(n+4)+5
(−5)(n)+(−5)(3)=(6)(n)+(6)(4)+5(Distribute)
−5n+−15=6n+24+5
−5n−15=(6n)+(24+5)(Combine Like Terms)
−5n−15=6n+29
−5n−15=6n+29
Step 2: Subtract 6n from both sides.
−5n−15−6n=6n+29−6n
−11n−15=29
Step 3: Add 15 to both sides.
−11n−15+15=29+15
−11n=44
Step 4: Divide both sides by -11.
−11n
−11
=
44
−11
n=−4
The answer is 7173
8531-1358