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
Ivahew [28]
3 years ago
8

Laura's job is 4 1/2 miles away. If she starts walking to her job at 9:00 a.m. and is scheduled to start working at 11:00 a.m.,

will she arrive at her job on time? Explain your reasoning.
Mathematics
1 answer:
irina [24]3 years ago
7 0

Answer:

<u>Laura has to walk at 2 1/4 miles per hour or faster to arrive to her job on time.</u>

Step-by-step explanation:

1. Let's review the data given to us for solving the question:

Distance from Laura's home to her job = 4 1/2 miles

Time when Laura starts to walk to her job : 9:00 a.m.

Time when Laura is scheduled to start working : 11:00 a.m.

2.  Will she arrive at her job on time?

Time Laura has to complete the distance from her home to her job = 2 hours (11 -9)

Speed that Laura need to walk to arrive to her job on time = Distance from Laura's home to her job/Time Laura has to complete the distance from her home to her job

Speed that Laura need to walk to arrive to her job on time = 4 1/2 miles/2 hours = (4 1/2)/2 = (9/2)/2 = 9/2 * 1/2 = 9/4 = 2 1/4

Speed that Laura need to walk to arrive to her job on time = 2 1/4 miles per hour.

<u>Laura has to walk at 2 1/4 miles per hour or faster to arrive to her job on time.</u>

You might be interested in
What is 44.84 times 9.84 =<br> what is 88.6 times5.01
slega [8]
44.85 * 9.84 = 441.2256

88.6 * 5.01 = 443.886
6 0
3 years ago
E) During free time in school Zain finished 7/8 of the problems from his
TiliK225 [7]

Answer:

Ismail

Step-by-step explanation:

because he did 2/3

5 0
3 years ago
If the square root of 61 is the longest side length in the triangle and the shorter sides are x and x+1, find the value of x tha
Tju [1.3M]

Answer:

  x = 5

Step-by-step explanation:

You want to find x such that ...

  x^2 +(x +1)^2 = 61

  2x^2 +2x -60 = 0 . . . . . simplify, subtract 61

  x^2 +x -30 = 0 . . . . . . . divide by 2

  (x +6)(x -5) = 0 . . . . . . . . factor; solutions will make the factors be zero.

The relevant solution is x = 5.

5 0
3 years ago
Peter Chibwe works at Company XYZ. The following information relates to his performance at work for a single week Deductions are
Colt1911 [192]

The question is related to Payroll Administration and Management.

Where the weekly gross is $10,000 the Net Pay is $ 7,240 while monthly Net Pay is $ 28,960.00.

<h3>What is Payroll Administration?</h3>

This is defined as the series of task required to organize the compensation an benefits of the employee for the period that they have spent working.

<h3>The solution is given below:</h3>

A) Note that the information given above is for a week. We are not given the gross wage. Hence we'd assume that the gross wage for the week is $10,000.

If gross pay is $10,000, Net Pay is calculated by removing deductions.

Deductions are:

Pension fund = 7.5% of 10,000 = $750

PAYE Tax = 20% of (95% of 10,000) = $1,900 This is because medical aid is non-taxable.

Employee Insurance = 1% of 10,000 = $100

Union Membership = $10

The Total Deduction thus is = 750 + 1,900 + 100 +10 = $2, 760.00

The Net pay =  Gross Pay Less Deductibles

= 10,000-7,760

Thus The Net pay = $ 7,240/Week.

His weekly net wage will be:

7,240 * 4 = $28,960.00/Month

B) The kind of remuneration method used by company XYZ is

Time Rate System. Under the time rate system, the worker is paid per hour, per day, per week, or per month.

It is normally used for workers who are engaged on highly skilled jobs or highly skilled services, for example, equipment testing, or inspection of operations, toolmaking, etc.

See the link below for more about payroll administration:

brainly.com/question/15858747


3 0
2 years ago
<img src="https://tex.z-dn.net/?f=10x-16y%3D12%20%5C%5C%205x-3y%3D4" id="TexFormula1" title="10x-16y=12 \\ 5x-3y=4" alt="10x-16y
Molodets [167]

Answer:

24/25

Step-by-step explanation:

Step 1: Define systems of equation

10x - 16y = 12

5x - 3y = 4

Step 2: Rewrite one of the equations

5x = 4 + 3y

x = 4/5 + 3y/5

Step 3: Solve for <em>y</em> using Substitution

  1. Substitute 2nd rewritten equation into 1: 10(4/5 + 3y/5) - 16y = 12
  2. Distribute the 10 to both terms: 40/5 + 30y/5 - 16y = 12
  3. Simplify the fractions down: 8 + 6y - 16y = 12
  4. Combine like terms (y): 8 - 10y = 12
  5. Subtract 8 on both sides: -10y = 4
  6. Divide both sides by -10: y = 4/-10
  7. Simply the fraction down: y = -2/5

Step 4: Substitute <em>y</em> back into an original equation to solve for <em>x</em>

  1. Substitute: 5x - 3(-2/5) = 4
  2. Multiply: 5x + 6/5 = 4
  3. Subtract 6/5 on both sides: 5x = 14/5
  4. Divide both sides by 5: x = 14/25

Step 5: Check to see if solution set (14/25, -2/5) is a solution.

  1. Substitute into an original equation: 10(14/25) - 16(-2/5) = 12
  2. Multiply each term: 28/5 + 32/5 = 12
  3. Add: 12 = 12

Here, we see that x = 14/25, y = -2/5 and solution (14/25, -2/5) indeed works.

Step 6: Find <em>x</em> <em>- y</em>

x = 14/25

y = -2/5

  1. Substitute: 14/25 - (-2/5)
  2. Simplify (change signs): 14/25 + 2/5
  3. Add: 24/25

Hope this helped! :)

6 0
3 years ago
Read 2 more answers
Other questions:
  • Will give brainliest if answered correctly!!
    9·1 answer
  • PLZ HELP URGENT!!!! Valentin is deciding where to buy computer glasses. Each store offers a 1-year loan for $750 but with differ
    6·2 answers
  • stanley drove his car on a business trip. When he left, the mileage was 840 miles, and when he returned, the mileage was 1,200 m
    6·1 answer
  • What is the steps to solve f(x)=x^2
    9·1 answer
  • What is the slope of the line that passes through the points (48, 10) and (-36, 17)?
    12·1 answer
  • Please help i will mark branliest
    13·1 answer
  • Flora made 7 withdrawals of 275
    8·1 answer
  • - 8.5а - 4.5+ За = - 24.5​
    13·2 answers
  • What is the range of y = -2.02 + 4 + 8?
    7·1 answer
  • Use Descartes’s rule of signs to determine the possible number of positive and negative real zeros of f(x)=8x^4-6x^3-4x^2-7x+3
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!