Jada has a job with the city’s Parks and Recreation Department. She receives an hourly wage plus time and a half for any hours over 40 worked each week.


Which piecewise-defined function best models her weekly pay h(t) if she works t hours and receives an hourly wage of $12?

(answer choices attached)

Answers

Answer 1

As per the problem statement, there is a linear relation,  between de whole earnings of Jada,  and her working time.

Solution:

y = 240 + 6×t

A Linear relation  is of the form:

y = ax + b

If we call total earnings´Jada "y",  and "t" the whole quantity of worked hours per week,  we get:

a fixed amount working 40 hours      12×40 = 480 $

and the quantity over 40 hours as   ( t - 40 ) × 6.

Then  y = fixed quantity + overtime

y = 480 + ( t - 40 ) × 6       reordering this expression

y = 480 + 6×t - 240

y = 240 + 6×t

Just for checking,  if this equation satisfies, the conditions of the problem

if t = 40 h    that means she did´nt do any overtime,

she earns    y = 240 + 6×(40)   ⇒  y = 480 $

if t = 50 h  meaning 10 hours of overtime, she earns:

y = 240 + (50)×6   ⇒  y = 540 $

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Related Questions

Please Help and i will give brainliest to whoever gives me the correct answer and you get 30 points.

During the Revolutionary War, Loyalists and Patriots most disagreed about whether:

A: African slaves should be allowed to join the army
B. foreign leaders should help train colonial forces
C. the war should be fought in the North or the South
D. British rule was harmful to the American colonists

Answers

Answer:

A

Step-by-step explanation:

someone help me please im giving brainliest

Answers

Answer B Distributive Property

Answer:

distributive

Step-by-step explanation:

please help tyy Please help use benchmarks to estimate each sum or differences 4/5+8/9

Answers

(bad hand writing)
4/5+8/9
36/45+40/45
= 76/45

Leila runs at 12 miles per hour. Find the number of miles she can travel if she runs for k less than 6 hours

Answers

Answer:

72-12k

Step-by-step explanation:

Our information:

Speed=12mph

Distance=x

Time=K less than 6 hours

Using the distance triangle, (Distance over speed and time,) We can use this equation.

TxS=D

12x(6xk)=D

72-12k

The number of miles she can travel if she runs for k less than 6 hours will be 12k-172.

What is the distance?

Distance is a measurement of the separation between two things or places. When we talk about distance, we're talking about a physical length or an estimate based on other physics or practical usage factors.

It is given that,

Speed=12mph

Distance=x

Time, t= (K - 6) hours

The distance for the given condition is,

d = v × t

d = 12  (K - 6)

d = 12k - 72 miles

Thus, the number of miles she can travel if she runs for k less than 6 hours will be 12k-172.

Learn more about the distance here:

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#SPJ2

Please need help fast

Answers

Answer:

just get points

Step-by-step explanation:

i dont know sorry

whats the subset for 15?

Answers

Answer: 16 subsets

Step-by-step explanation:

A proper subset is a subset that is not identical to the original set—it contains fewer elements. You can see that there are 16 subsets, 15 of which are proper subsets.

write 2^3/2 in surd form
Make sure the answer is clearly written. Thanks!

Answers

Answer:The solution is in the attached file

Step-by-step explanation:

Write the equation for the given parent function and listed transformations.


10. x^2, right 1, reflect across the x-axis, vertical shrink by 1/3


11. √x, reflect across the y-axis, vertical shrink by 1/3, up 1, horizontal shrink by 5/3


12. x^3, left 2, down 1, horizontal stretch, by 3/4


13. |x|, vertical stretch by 2, horizontal shrink by 3, reflect across the y-axis.

Answers

Answer:

10) -1/3(x-1)^2

11) 1/3(√-5/3x) +1

12) (3/4x+2)^3-1

13) 2|-3x|

Step-by-step explanation:

Solve algebraically:

y = x^2 - 10x+14
y = 7x-16

Answers

Answer:

No answer this pro so icant

Real world and mathematical problems

Answers

What type of math is used in this math question of yours ?

any clue? Find the equation of the line shown.

Answers

Answer:

Y= -X + 9 Can be found by trials

I need help how do you do this Question 1 1/2+2 3/5

Answers

Answer:

4 1/10 or 4.1

Step-by-step:

1 1/2+2 3/5

convert both into an improper fraction

1 1/2 as an improper faction= 3/2

then

2 3/5 as an improper fraction= 13/5

so now we can work the question out as

3/2 + 13/5

which is 41/10

41/10 is an improper faction which is also equal to

4 1/10

Hope this helped you- have a good day bro cya)

PLSSS? i dont really get it
Thanks

Answers

Answer:

A) 83 km/ hour

B) 2/7 penalties / game

C) $16 / CD

D) 9 donuts / box

Step-by-step explanation:

A)

For this question they are asking for the distance traveled in 1 hour.

Since 747km was travelled in 9 hours, we divide 747 by 9 to find the distance travelled in 1 hour

747 ÷ 9 = 83

The unit rate is 83 km/ hour

B)

You have to find the number of penalties per game

Like before divide 10 by 35:

10 ÷ 35 = 10/35 = 2/7

2/7 penalties / game

C)

Find the cost of 1 CD :

64 / 4 = 16

$16 / CD

D)

Find the amount of donuts per box:

72/8 = 9

9 donuts per box

-Chetan K

Answer:

1. 83 km per hour

2. ?

3. 16 dollars per cd

4. 9 per box

Step-by-step explanation:

You just divide the first one by the second one

plz help.this is a grade! DUE IN 10 MINUTES‼️‼️. he tape diagram below represents how much time you and your friend spend time studying. You study for 45 minutes how many minutes does your friend study​​

Answers

Answer: 30 mins

Step-by-step explanation: 45/3=15

15x2=30

The mass of a competition frisbee is 125g. Convert its mass to ounces using the unit conversion factor derived from the relationship 1oz = 28.349g

Answers

Answer:  i answered it the best way i could

The mass in ounces will be 4.40925 oz.

What is unit conversion?

A unit conversion expresses the same property as a different unit of measurement.

Given that, the mass of a competition Frisbee is 125g

1 oz = 28.349 g

1 g = 1/28.349 oz

125 g = 125*1/28.349 oz

125 g = 4.40925 oz.

Hence, The mass in ounces will be 4.40925 oz.

For more references on unit conversion, click;

https://brainly.com/question/4736731

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Fill in the blanks with the missing numbers from the table of values for the equation y=−5x+1

Answers

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

For the values of x , the corresponding values of y are :

x = -1 and y = 6

x = 0 and y = 1

x = 1 and y = -4

x = 2 and y = -9

I really need help with this it’s due tonight

Answers

A and D both look correct

Definitely not B and C because the signs are not correct
Yeah you should definitely go with A

the original price of a shirt was AED 175. A clothing store decides to sell all shirts at a 40% discount. what is the selling price of a shirt? ​

Answers

[tex] \huge\hookrightarrow \: \mathfrak{Answer }[/tex]

Original price = 175

Discount = 40%

Selling price :

[tex]175 - \bigg(\dfrac{40}{100} \times 175 \bigg)[/tex]

[tex]175 - \bigg ( \dfrac{40 \times 7}{4} \bigg )[/tex]

[tex]175 - ( 10 \times 7 )[/tex]

[tex]175 - 70[/tex]

[tex]105[/tex]

Selling price = AED 105

Kaily is making punch for her party. She adds 1 bottle of ginger ale for every 2 gallons of punch. Which graph represents the ginger ale to punch?

Answers

Answer:

f

Step-by-step explanation:

each time it goes to the side (punch) once, it goes up (ginger ale) twice

Simplify (514)-3. Assume n = 0.
X
1
12
5n
1
125n
n12
125
125
n12
RETRY

Answers

Step-by-step explanation:

the second option 1/(125n¹²)

why ?

when we have the exponent of an exponent, we can multiply the exponents.

so, 4×-3 = -12

a negative exponent means 1/... (with the corresponding positive exponent in the denominator).

and an exponent of the multiplication of factors means that the exponent is to be used for every factor in the multiplication.

so, the exponent -3 has to be applied to 5 and to n⁴.

this gives us 5^‐3 and n^-12 as factors.

the result is 1/(5³) × 1/(n¹²).

and that is the mentioned result above.

Help me with this please
50 POINTS for you PLUS A BRANLIEST, THANKS AND 5 STAR

Answers

Answer:

A = 36.397

B = 43.603

AC = 29

Step-by-step explanation:

Use the Tangent to find <A

Tan(A) = opposite / adjacent

opposite = 21

adjacent = 20

Tan(A) = 21 / 20 = 1.05

A = Tan-1(1.05)

A = 46.397

If you have confidence in your answer, you can just subtract this number from 90 since this is a right angle triangle and the two acute angles = 90 degrees.

C = 90 - 46.397

C = 43.603

AC is the hypotenuse of a right angle triangle.

c^2 = a^2 + b^2

a = 20

b = 21

c = ?

c^2 = 20^2 + 21^2

c ^2 = 400 + 441

c^2 = 841

sqrt(c^2) = sqrt(841)

c = 29

Count:3

Answer:

m<a = 43.6 degrees

m<c = 46.4 degrees

AC = 29

Anyone know this one?? Please help asap this is the problem

Answers

Answer:

i think its c. srry if im wrong

Step-by-step explanation:

Answer:

A = 8

Step-by-step explanation:

For the equation to have infinitely many solutions , then the terms on both sides must be the same.

Qw require the x- terms on the right side to be 6x

Ax - 2x = 6x ( consider the coefficients )

A - 2 = 6 ( add 2 to both sides )

A = 8

Find two consecutive positive even integers such that the square of the first decreased by 64 equals 3 times the second.

Answers

Answer:

10 and 12

Step-by-step explanation:

let the consecutive even integers be n and n + 2 , then

n² - 64 = 3(n + 2) ← distribute parenthesis

n² - 64 = 3n + 6 ( subtract 3n + 6 from both sides )

n² - 3n - 70 = 0 ← in standard form

(n - 10)(n + 7) = 0 ← in factored form

Equate each factor to zero and solve for n

n - 10 = 0 ⇒ n = 10

n + 7 = 0 ⇒ n = - 7

Since n must be a positive even integer then n = 10 and n + 2 = 10 + 2 = 12

The 2 numbers are 10 and 12

Solve
x2 + 11x + 30 = 0

Answers

Answer:

x = - 5, - 6

Step-by-step explanation:

x^2 + 11x + 30 = 0

x^2 + 5x + 6x + 30 = 0

x ( x + 5 ) + 6 ( x + 5 ) = 0

( x + 6 ) ( x + 5 ) = 0

x + 6 = 0

x = - 6

x + 5 = 0

x = - 5

True or false Square roots!
please help me with this!!

Answers

Answer:

25=4 is wrong

64=7 is wrong

10= 5 is wrong

99= 9 is wrong

The rest are right:)

Step-by-step explanation:

36=6
100=10
25=5
121=11
64=8
99=9
25=5
16=4
10=3

slove for the produck of 82 and 36

Answers

Answer:

2952

Step-by-step explanation:

math

Identify the degree, leading coefficient and constant value of the following polynomial.

Answers

Answer:

degree = 3

leading coefficient = -5

constant = -21

Step-by-step explanation:

Simplify.

8200‾‾‾‾√−3162‾‾‾‾√

Answers

Answer:

the question is supposed to be \begin{gathered}8 \sqrt 200 - 3\sqrt 162\\\end{gathered}8200−3162

i think the answer is 53√sqrt 2532

Joy is going to buy food for a class reunion. there are 25 guests and each guest will eat 250 grams of chicken in the table .How many more grams of chicken should she buy? need solution please​

Answers

Answer:

6250

Step-by-step explanation:

25×250

6250 grams

hope it helps

Answer:

6,250

Step-by-step explanation:

250

x 50

--------

6,250

hope it helps

Can someone please tell me how to solve this and this type of questions?

Answers

Hey! So you are going to find the coordinates of P and R
P is (4,0) R is (-6,-4)
Then you can plug it into this formula: (x1-x2)^2 + (y1-y2)^2
Using P and R coordinates that’s:
(4- -6)^2 + (0- -4)^2
10^2 + 4^2
100 + 16=
116
Then you are going to find the square root
So 116 square root is 10.8 rounding to the nearest tenth
Hope this helps!
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