A person paid by the hour works 22 hours a week and makes $459. How much would they make if they work 39 hours?

Question is added as photo.<br> It asks for one of the roots

sergiy2304 [10]

Answer:

D

Step-by-step explanation:

Big SHaq hold tight on my peepepe

5 0

3 years ago

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If a car has traveled 171 miles in 3 hours at a steady pace, how far has it traveled each hour?

san4es73 [151]

Answer:

B: 57 mph=57 mph

Step-by-step explanation:

A steady pace means constant speed that it does not change over a period of time and direction of motion. A simple formula, for this case (constant speed)

$v= \frac{x - xo}{t -to}$

where x is distance and t time. The subtract is final value minus initial value

We have the distance and time, then

$v= \frac{171 miles}{3 hours} = 57 mph$

7 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:

#LearnwithBrainly

6 0

3 years ago

some friends went to a local movie theater and bought four large buckets of popcorn and six boxes of candy.The total for the sna

WARRIOR [948]

The total of 2 buckets of popcorn and 3 boxes of candy would be $23.25

To answer this question you need to form a set of simultaneous equations and solve them. We can do this by saying that a bucket of popcorn = P, and a box of candy = C. Then we can say:

4P + 6C = 46.50

P + C = 9.75

There are then two possible ways to solve; you can either say that C = 9.75 - P using the second equation and then substitute it into the first, or you can multiply the second equation by either 4 or 6 to cancel out P or C.

I’m going to multiply the second equation by 4:

4P + 4C = 39

Now we can subtract this for, the first equation:

4P + 6C = 46.50

4P + 4C = 39

2C = 7.50

C = 3.75

Now we can substitute this value of C into one of the equations to find P:

P + C = 9.75

P + 3.75 = 9.75

P = 6

And now to answer the question, you just multiply P by 2 and C by 3 and add them together, which gives you $23.25

I hope this helps! Let me know if you have any questions :)

6 0

2 years ago

Which facts could be applied to the simplified expression. Check all that apply. 5x+3y+(-x)+62

Anettt [7]

Answer:

4x+3y+62

Step-by-step explanation:

the other variables wouldnt be able to do anything to 62 because they are different variables.

7 0

2 years ago

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