Answer:
28 inches
Step-by-step explanation:
P = 2 (a + b) = 2 · (6 + 8) = 28
Answer: there are 10 multiple choice questions and 15 short-answer questions
Step-by-step explanation:
Let x represent the number of multiple choice questions in the test.
Let y represent the number of short-answer questions in the test.
If the test has 25 questions, it means that
x + y = 25
Multiple-choice questions are worth 2 points, and short-answer questions are worth 4 points. The test is worth a total of 80 points. It means that
2x + 4y = 80 - - - - - - - -1
Substituting x = 25 - y into equation 1, it becomes
2(25 - y) + 4y = 80
50 - 2y + 4y = 80
- 2y + 4y = 80 - 50
2y = 30
y = 30/2 = 15
x = 25 - y = 25 - 15 = 10
A. The number of multiple-choice questions plus the number of short-answer questions is 25.
Answer:
see explanation
Step-by-step explanation:
Since BD bisects ∠ ABC , then
∠ ABD = ∠ DBC , substitute values
3x + 4 = 55 ( subtract 4 from both sides )
3x = 51 ( divide both sides by 3 )
x = 17
Answer:
$47,200
Step-by-step explanation:
Given :
The total income of a married couple = $75,000.
Number of children = 2
Therefore to find the taxable income of a U.S. family is given by the following formula ---
taxable income = total income- exemption deduction - standard deduction
We know that exemption deduction for a U.S couple as fixed by the government is $15,600.
And the standard deduction for a U.S couple as fixed by the government is $12,200.
Thus in order to find the taxable income of the couple, use the formula
taxable income = total income- exemption deduction - standard deduction
= $75,000 - $15,600 - $12,200
= $47,200.
Thus the taxable income is $47,200.
