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Anna11 [10]
3 years ago
6

Jackie has two jobs. She earns $14/h in Job A and $16/h in Job B. She would like to earn $560 in a week. Let a represent the num

ber of hours she works in Job A, and let b represent the number of hours she works in Job B.
Which function relates the number of hours she works in Job B to the number of the hours she works in Job A?

A. b = -8/7a + 40

B. b = -7/8a + 35

C. b = 7/8a - 35

D. b = 8/7a - 40
Mathematics
1 answer:
Liono4ka [1.6K]3 years ago
3 0
<span>560 = 14a+16b
560-14a=16b
b=(560-14a)/16
b=-7/8a+35
Answer is B</span>
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Lupita rides a taxi that charges a flat rate of $6.75 plus $3.20 per mile. If the taxi charges Lupita $40.03 in total for her tr
yaroslaw [1]

Answer:

10.4 miles

Step-by-step explanation:

Write an equation for the total cost paid as a function of the # of miles driven:

L(x) = $6.75 + ($3.20/mile)x

and set this equal to $40.03 to determine the # of miles Lupita rode:

L(x) = $6.75 + ($3.20/mile)x = $40.03

Isolate the x term by subtracting $6.75 from both sides:

($3.20/mile)x = $40.03 - $6.75 = $33.28

Finally, divide both sides by  ($3.20/mile):

x = $33.28 /  ($3.20/mile)

  =  10.4 miles

Lupita rode 10.4 miles in the taxi.

4 0
3 years ago
Express the terms of the following sequence by giving a recursive formula.
emmasim [6.3K]

The recursive formula for given sequence is: a_n = a_{n-1}-7

And the terms will be expressed as:

a_1 = 11\\a_2 = a_{2-1} - 7 \\a_2= a_1 - 7\\a_2 = 11- 7\\a_2 = 4\\a_3 = a_{3-1} - 7 \\a_3= a_2 - 7\\a_3 = 4 - 7\\a_3 = -3\\a_4 = a_{4-1} - 7 \\a_4= a_3 - 7\\ a_4= -3 - 7\\a_4 = -10\\a_5 = a_{5-1} - 7 \\a_5= a_4 - 7\\a_5 = -10 - 7\\a_5 = -17\\

Step-by-step explanation:

First of all, we have to determine if the given sequence  is arithmetic sequence or geometric. For that purpose, we calculate the common difference and common ratio

Given sequence is:

11,4,-3,-10,-17...

Here

a_1 = 11\\a_2 = 4\\a_3 = -3\\So,\\d = a_2 - a_1 = 4-11 = -7\\d = a_3-a_2 = -3-4 = -7

As the common difference is same, given sequence is an arithmetic sequence.

A recursive formula is a formula that is used to generate the next term of the sequence using the previous term and common difference

So, the recursive formula for an arithmetic sequence is given by:

a_n = a_{n-1} +d\\Putting\ d = -7\\a_n = a_{n-1}-7

Hence,

The recursive formula for given sequence is: a_n = a_{n-1}-7

And the terms will be expressed as:

a_1 = 11\\a_2 = a_{2-1} - 7 \\a_2= a_1 - 7\\a_2 = 11- 7\\a_2 = 4\\a_3 = a_{3-1} - 7 \\a_3= a_2 - 7\\a_3 = 4 - 7\\a_3 = -3\\a_4 = a_{4-1} - 7 \\a_4= a_3 - 7\\ a_4= -3 - 7\\a_4 = -10\\a_5 = a_{5-1} - 7 \\a_5= a_4 - 7\\a_5 = -10 - 7\\a_5 = -17\\

Keywords: arithmetic sequence, common difference

Learn more about arithmetic sequence at:

  • brainly.com/question/10341324
  • brainly.com/question/10081622

#LearnwithBrainly

6 0
3 years ago
Solve this quadratic equation. x^2+2x-22=0
torisob [31]
X=⁻3 and x=1
because 
a+b=2 which means a=3 and b=⁻1 which added up equals 2
a×b=⁻22 which means that 11 which is a×⁻2 which is b=⁻22
7 0
3 years ago
A wooden disk is shaped like a cylinder with a radius of 20.2 millimeters, and a height of 3.9 millimeters. What is the surface
asambeis [7]
The Area is = 3058.78 pir^2
5 0
3 years ago
Main Lesson Content.
Verizon [17]

Answer:

1. All of the above.

2. Kilowatt hours.

Step-by-step explanation:

A power bill can be defined as a utility bill issued by a power utility company (provider) to illustrate the amount of energy (electricity) consumed by a customer.

Power bills usually show the following informations;

1. The total amount due: this represents an amount of money being owed by a consumer to a power utility company. The current amount due in addition to any outstanding balance is reflected in this tab.

2. The Kilowatt hours of electricity used: this represents the amount of electricity that was used by the consumer in the previous month.

3. The payment due date: this represents the least expected date for payment to be made by the consumer. If payment isn't made on or before the due date, the consumer will be disconnected.

<em>Generally, when calculating the power bill, power companies use kilowatt hours. The Kilowatt hours (KWh) represents the amount of energy (electricity) that is being used by a customer on a hourly rate. </em>

5 0
3 years ago
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