1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
lutik1710 [3]
3 years ago
14

A 40-inch board is to be cut into three pieces so that the second piece is 3 times as long as the first piece and the third piec

e is 4 times as long as the first piece. If x
represents the length of the first piece, find the lengths of all three pieces.
What is the length of the first piece?
What is the length of the second piece?
What is the length of the third piece?
Mathematics
1 answer:
tiny-mole [99]3 years ago
8 0

Answer:

The first piece is 5 inches long, while the second is 15 inches and the third one is 20 inches.

Step-by-step explanation:

To determine the length of the 3 pieces, knowing that the total of the board is 40 inches, and that the second measures 3 times more than the first and the third measures 4 times more than the first, the following equation must be performed:

X + 3X + 4X = 40

8X = 40

X = 40/8

X = 5

Therefore, the first piece is 5 inches long, while the second is 15 inches and the third 20 inches.

You might be interested in
Find the value of X, rounded to the nearest tenth. <br> A. 31.8<br> B. 31.4<br> C. 10.3<br> D. 10.7
Molodets [167]

Answer:

31.4

Step-by-step explanation:

x=18/sin35

x= 31.38

=31.4(nearest tenth )

4 0
2 years ago
A large pizza has a circumference of approximately 43.96 inches2. what is the diameter of the pizza? Use 3.14 to approximate Pi.
Nookie1986 [14]

Answer:

d = 14

43.96/3.14 = 14

8 0
3 years ago
Social security tax that is 6.2% of her gross pay medicare tax that is 1.45% of her gross pay state tax that is 21% of her feder
user100 [1]

Marilyn's net pay will increase by $18.15 as her Federal Withholding Allowance increases from 3 to 4.

<h3>What is Federal Withholding Allowance?</h3>

A Federal Withholding Allowance is an exemption that lowers the amount of income tax you must deduct from an employee's paycheck.

Given: The following are the deductible computation:

  • For federal withholding allowance = 3:
  1. Social Security Tax: 6.2% of $810 = \frac{6.2\times810}{100} = $50.22
  2. Medicare tax : 1.45% of $810 = \frac{1.45\times810}{100} = $11.745
  3. State tax: (21% of 3)% of $810= \frac{21\times3 }{100} \times\frac{810}{100} = 0.63% of $810 = \frac{0.63\times810}{100} = $5.103

Total = $67.068; deducted amount of his gross pay = $810 - $67.068 $742.932 (3 federal withholding).

  • For Federal Withholding Allowance = 4:
  1. State tax: (21% of 4)% of $810 = (\frac{21\times4}{100}) \times\frac{810}{100} = 0.84% of $810 = \frac{0.84\times810}{100} =  $6.8704

Thus, as we can see from the calculations, the State taxes increased from $5.103 to $6.8704. Hence, the net pay increases by $18.15 as the federal allowance increases from 3 to 4.

To learn more about Federal Withholding Allowance, refer to the link: brainly.com/question/1212566

#SPJ4

4 0
2 years ago
Can someone please help me with this problem??
Ostrovityanka [42]

Answer:

The slope is -\frac{1}{3} and the y intercept is 2.

Step-by-step explanation:

So, we can see that the line moves down one unit every time it progresses to the right three times. Slope is defined by change in y/change in x. For this problem, the change in y is -1 and the change in x is +3, so the slope is -\frac{1}{3}.

Now for the y intercept. The y intercept is the point where the line first passes through the y axis. In this case, it passes through 2. Your y intercept can be written in two ways; as a number (2) or as an ordered pair (0,2), although people usually write the number.

I hope this was helpful. Good luck!

7 0
2 years ago
If 8 identical blackboards are to be divided among 4 schools, how many divisions are possible? how many if each school must rece
DaniilM [7]
Alright, so we'd use the combinations with repetition formula, so we choose from 4 schools to distribute to and distribute 8 blackboards. It's then 

( 8+4-1)!/8!(4-1)!=11!/(3!*8!)=165

For at least one blackboard, we first distribute 1 to each school and then have 4 blackboards left, getting (4+4-1)!/4!(4-1)!=7!/(4!*3!)=35
8 0
3 years ago
Other questions:
  • Harvey is 3 times as old as Jane. The sum of their ages is 48 years. Find the age of each.
    15·2 answers
  • Need help with 25 and 26 plz
    12·1 answer
  • is the equation below written in standard form if not select which explanation best applies to why the equation is not written i
    10·1 answer
  • What is 104,229 rounded to the nearest ten thousand
    10·2 answers
  • Two consecutive EVEN numbers have a sum of 30. What are the numbers?
    14·1 answer
  • Pleaaaaaasssseeeeee help me with this you
    14·2 answers
  • Can someone tell me this one?
    15·2 answers
  • Which of the following properties would you use to solve 3r≤16 for r?
    13·1 answer
  • Triangle A is the pre-image in a translation, and triangle B is the image, as shown below.
    9·2 answers
  • Can some help me out with this EXTRA POINTS!!
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!