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
ziro4ka [17]
3 years ago
11

) Tara earns twice as much per hour as Kayte.

Mathematics
2 answers:
tekilochka [14]3 years ago
8 0

Answer:

Austin's hourly wage is $8.

Step-by-step explanation:

We can write this problem as a system of linear equations.

We define T: Tara's hourly wage, A: Austin's hourly wage and K: Kayte's hourly wage.

Then, if Tara earns twice as much per hour as Kayte, we have:

T=2K

If Kayte earns $3 more per hour than Austin, we have:

K=A+3

And if they earn $41 per hour as a group, we know:

T+K+A=41

We can use all equations to replace in the third one, as:

T+K+A=41\\\\(2K)+K+A=41\\\\3K+A=41\\\\3(A+3)+A=41\\\\3A+9+A=41\\\\4A=41-9=32\\\\A=32/4=8

Austin's hourly wage is $8.

Cerrena [4.2K]3 years ago
5 0

Answer:

Austin's hourly wage is $8.

Step-by-step explanation:

This question can be solved using a system of equations.

I am going to say that:

Tara's hourly wage is x.

Kayte's hourly wage is y.

Austin's hourly wage is z.

Tara earns twice as much per hour as Kayte.

This means that x = 2y

Kayte earns $3 more per hour than Austin.

This means that y = z + 3

As a group, they earn $41 per hour.

This means that x + y + z = 41

What is Austin's hourly wage?​

This is z.

x + y + z = 41

y = z + 3 and x = 2y, so x = 2(z + 3) = 2z + 6

x + y + z = 41

2z + 6 + z + 3 + z = 41

4z + 9 = 41

4z = 32

z = \frac{32}{4}

z = 8

Austin's hourly wage is $8.

You might be interested in
Find the area of the irregular polygon, pls hurry I need this quickkkkkk
pickupchik [31]

Answer:

To find the area of an irregular polygon you must first separate the shape into regular polygons, or plane shapes. You then use the regular polygon area formulas to find the area of each of those polygons. The last step is to add all those areas together to get the total area of the irregular polygon

and i thank that it is b 120  in2

8 0
3 years ago
What is the measure of angle F ??
masha68 [24]
9x+14x+4x+90 = 360
27x = 270
x = 10

<F = 14x = 14(10) = 140
4 0
3 years ago
When placing a polygon on a coordinate plane for a coordinate proof a vertex at the origin is NOT a good location for the figure
irina1246 [14]
I do not understand the question please clarify. Thank you.

8 0
3 years ago
Class records at rockwood college indicate that a student selected at random has probability 0.75 of passing french 101. for the
Kipish [7]

To get the probability of two individual events both occurring, you have to multiply the probabilities of their individual events occurring. Therefore in this problem, the probability that a student selected at random will pass both French 101 and French 102 is 0.683 (.75 x .91). The answer is already rounded to three decimal places.

4 0
3 years ago
Read 2 more answers
Solve the equation:<br> 3c=123c=12
KATRIN_1 [288]

3c=123c=12

We move all terms to the left:

3c-(123c)=0

We add all the numbers together, and all the variables

-120c=0

c=0/-120

c=0
8 0
2 years ago
Other questions:
  • Simplify the radical expression -4√160<br> A: -4√16<br> B: √10<br> C: -16√10<br> D: -4√80
    10·1 answer
  • You had a credit card balance of $186, then you purchased books for $174. CDs for $35, and a pair of shoes for $99 with the cred
    6·2 answers
  • What is the length of h in the following composite figure? all angles are right angles.
    11·2 answers
  • What would be the division problem for this
    11·1 answer
  • If point P is Four-sevenths of the distance from M to N, what ratio does the point P partition the directed line segment from M
    14·2 answers
  • Can you add 4r + 4rg?<br> Explain why or why not.
    5·2 answers
  • Today Angela's cat's age in months is the same as Angela's age in years. In one year her cat's age in months will be 2 times Ang
    14·2 answers
  • Find the slope of the line that passes through the points (2,7) and (6,-3)
    11·2 answers
  • Which two points are complex conjugates? Explain.
    7·2 answers
  • PLEASE HELP VERY OVERDUE​<br>No links!!
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!