answer.
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
cupoosta [38]
1 year ago
9

Joanna, the line manager at Smedley Electronics, works 14 hours a week more than her line workers and gets paid $6.50 more per h

our. Line workers work h hours per week and get paid d dollars per hour. How do you write an expression for how much a line worker gets paid each week and how much Joanna gets paid each week? And if the line workers get paid $576 for a 36 hour week, how much does Joanna get paid per week?
Mathematics
1 answer:
chubhunter [2.5K]1 year ago
5 0
Given:
Joanna :
works 14 hrs a week more than her line workers.
gets paid 6.50 more per hour than her line workers.

Line workers: h = hours per week ; d = dollars per hour.

Line worker = Dollar per hour * number of hours.
Joanna = (Dollar per hour + 6.50)(number of hours + 14 hours)

Line worker:
$576 = d * 36 hours
$576/36 = d
$16 = d    hourly rate of line worker.

Joanna:
$16 + 6.50 = $22.50 hourly rate
36hrs + 14hrs = 50 hours per week.

Weekly pay of Joanna: $22.50 * 50 = $1,125
You might be interested in
There are nine teddy bears in the diagram below. How many TOTAL squares are<br> there?
IgorC [24]

Answer: 14

Step-by-step explanation: 9 small squares with one teddy bear in each, 4 medium squares with 4 bears in each medium square, and 1 big square for the entire thing.

6 0
2 years ago
Read 2 more answers
Of the 400 eighth-graders at pascal middle school, 117 take algebra, 109 take advanced computer, and 114 take industrial technol
Hatshy [7]

If 164 of the 400 eighth-graders take none of these courses, then 400-164=236 students take some courses.

Let x students take all three courses, then:

1. 70-x take only both algebra and advanced computer,

2. 34-x take only both algebra and industrial technology,

3. 29-x take only both advanced computer and industrial technology.

Now let's count how many student take only one course:

1. 117-(x+34-x+70-x)=13+x take algebra,

2. 109-(x+29-x+70-x)=10+x take advanced computer,

3. 114-(x+29-x+34-x)=51+x take industrial technology.

Now count all students that take some courses:

51+x+10+x+13+x+29-x+34-x+70-x+x=236,

x=236-51-10-13-29-34-70,

x=29.

Answer: all three courses take 29 students.

6 0
2 years ago
Read 2 more answers
How many significant figures in 20340 ?
elena-14-01-66 [18.8K]

There are 4 significant figures in 20340.

7 0
1 year ago
Read 2 more answers
What is 200 percent of (0.020(5/4) + 3 ((1/5) - (1/4)))
Inessa [10]

Answer:

0.1/4-3/20=1/40-6/40=-1/8 200% of this is -1/4

Step-by-step explanation:

4 0
2 years ago
Let P2 be the vector space of all polynomials of degree 2 or less, and let H be the subspace spanned by 10x2+4xâ1, 3xâ4x2+3, and
lord [1]

I suppose

H=\mathrm{span}\{10x^2+4x-1,3x-4x^2+3,5x^2+x-1\}

The vectors that span H form a basis for P_2 if they are (1) linearly independent and (2) any vector in P_2 can be expressed as a linear combination of those vectors (i.e. they span P_2).

  • Independence:

Compute the Wronskian determinant:

\begin{vmatrix}10x^2+4x-1&3x-4x^2+3&5x^2+x-1\\20x+4&3-8x&10x+1\\20&-8&10\end{vmatrix}=-6\neq0

The determinant is non-zero, so the vectors are linearly independent. For this reason, we also know the dimension of H is 3.

  • Span:

Write an arbitrary vector in P_2 as ax^2+bx+c. Then the given vectors span P_2 if there is always a choice of scalars k_1,k_2,k_3 such that

k_1(10x^2+4x-1)+k_2(3x-4x^2+3)+k_3(5x^2+x-1)=ax^2+bx+c

which is equivalent to the system

\begin{bmatrix}10&-4&5\\4&3&1\\-1&3&-1\end{bmatrix}\begin{bmatrix}k_1\\k_2\\k_3\end{bmatrix}=\begin{bmatrix}a\\b\\c\end{bmatrix}

The coefficient matrix is non-singular, so it has an inverse. Multiplying both sides by that inverse gives

\begin{bmatrix}k_1\\k_2\\k_3\end{bmatrix}=\begin{bmatrix}-\dfrac{6a-11b+19c}3\\\dfrac{3a-5b+2c}3\\\dfrac{15a-26b+46c}3\end{bmatrix}

so the vectors do span P_2.

The vectors comprising H form a basis for it because they are linearly independent.

4 0
2 years ago
Other questions:
  • on a map with a scale 1:100,000 the distance between two cities is 12cm. what would be the distance between these two cities on
    8·2 answers
  • SOMEONE PLEASE HELP ME ASAP!!!
    6·1 answer
  • Use the drop-down menus to complete the paragraph proof. we are given that xy is parallel to zw. if xz is a transversal that int
    7·2 answers
  • If a buyer purchases 25% of a lot in the spring and then purchases 50% more later in the fall, what percentage of the lot is sti
    6·1 answer
  • A toy store owner gives 47 balloons to his customers. He has 7 balloons left. How many balloons did he start with?
    13·1 answer
  • From an industrial area 70 companies were selected at random and 45 of them were panning for expansion next year. Find 95% confi
    13·1 answer
  • While shopping in France, Johnny notices the cost of apples is 3.20€/kg. Johnny isn't familiar with Euros or kilograms, and need
    5·2 answers
  • What is StartFraction 11 Over 12 EndFraction divided by one-third? A fraction bar labeled 1. Under the 1 are 3 boxes labeled one
    14·2 answers
  • It has been suggested that night shift-workers show more variability in their output levels than day workers. Below, you are giv
    5·1 answer
  • Which table represents a linear function? A, B, C, D
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!