Answer:
$280
Step-by-step explanation:
Step one
Given data
A mechanic makes $350 /week
20% of his income is deducted for taxes
Required
the mechanic's take-home pay for the week
Step two:
let us find 20% of $350
=20/100*350
= 0.2*350
=$70
Therefore the take-home pay is
= 350-70
= $280
X+y=11
x is longer than y
x>y
x is 4 less than 4 times y
x=-4+4y
sub back
x+y=11
-4+4y+y=11
-4+5y=11
add 4 to both sides
5y=15
divide both sides by 5
y=3
sub back
x=-4+4y
x=-4+4(3)
x=-4+12
x=8
the pieces are 8ft and 3ft
Answer:
a. 4.33.
Step-by-step explanation:
If there is only one correct answer out of four alternatives, the expected proportion of correct answers is p =0.25
Sample size (n) = 100 questions
The standard deviation of a proportion 'p' is given by:

Applying the given data:

If X is the number of correct responses in 100 guesses, the standard deviation of X is:

The standard deviation of X is 4.33 questions.
Answer:
108 centimeters
Step-by-step explanation:
There are 12 edges total.
9 x 12 = 108
Answer: x=-6
Step-by-step explanation:
Let's solve your equation step-by-step.
2(9−x)=3(x+16)
Step 1: Simplify both sides of the equation by distribution

Step 2: Subtract 3x from both sides.

Step 3: Subtract 18 from both sides.

Step 4: Divide both sides by -5.
