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Serjik [45]
2 years ago
5

Sound travels about 340 m/s. The function d(t) = 340t gives the distance d(t), in meters, that sound travels in t seconds. How f

ar does sound travel in 36 s?
d(36) = meters
Mathematics
1 answer:
Anni [7]2 years ago
7 0

Answer:

<u>12,240 meters</u>

Step-by-step explanation:

Since sound travels 340 meters per second, you multiply 340 by 36 seconds, and get the answer of <u>12,240 meters.</u>

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Hich of the following are the coordinates of the vertex of y = x2 − 10x + 2?
ANEK [815]
The vertex is in essence the turning point of the parabola y = x²<span> − 10x + 2

the x coordinate of the turning point = </span>- \frac{b}{2a}
                                                         = - \frac{-(10)}{2(1)}
                                                         =  5

when x = 5, y = (5)² - 10(5) + 2
                      = -23

Thus coordinate or vertex is ( 5, -23)

6 0
3 years ago
How do you create linear equations from a word problem? Can someone please step me through how to make TWO equations for this??:
storchak [24]
Check out the image attachment for the filled out table. There may be more than one way to fill out the table, but I did it in the way I learned in the past.

Let's work through the table one row at a time
------------------------------------------------------------------------------
So we'll start with row 1

Row 1, column1: The value that goes here is 12 as each adult pays $12

Row 1, column2: You'll write 'a' without quotes here as there are 'a' adults ('a' is just a placeholder for a number)

Row 1, column3: Write 12*a or 12a here. Simply multiply the cost per adult ($12) with the number of adults (a). 
------------------------------------------------------------------------------
Now onto row 2

Row 2, column1: It costs $6 per young adult, so we write 6 here

Row 2, column2: There are y young adults. Write 'y' here without quotes

Row 2, column3: Write 6y here. Multiply the number of young adults with the price per young adult
------------------------------------------------------------------------------
Now onto row 3

Now we add up the values per each column to get the column totals

Row 3, column1: The individual costs 12 and 6 add to 18. We won't use this value but it doesn't hurt to write it in. If it is confusing to add in, then just ignore this cell. The reason why we won't use this is because the number of adults (a) and young adults (y) is not necessarily the same. If we were guaranteed they were the same, then we could use this value. But again there's no guarantee. It's probably best to steer clear of this cell.

Row 3, column2: We have 'a' adults and 'y' young adults. So a+y people total. This total is 8 as we know a family of 8 had been registered. So we write 8 in this box as well. The two expressions a+y and 8 are equal to each other allowing us to form the first equation a+y = 8

Row 3, column3: The cost for all the adults is 12a dollars. Similarly it costs 6y dollars for just the young adults. Adding up the two subtotals we get 12a+6y as the total cost for everyone. We're told that the family paid a total of $66. So like with the previous box, we can equate the two expressions getting us the second equation to be 12a+6y = 66
------------------------------------------------------------------------------

Again everything is summarized in the image attachment. 

The two equations we pull away from that table are
a+y = 8
12a+6y = 66
which is the system of equations to set up

7 0
3 years ago
Tamara took guitar lessons for 5.8 years. Then she took trumpet lessons for the next 3.4 years.
BlackZzzverrR [31]
The answer is 9.2 hope this helps
7 0
3 years ago
Read 2 more answers
How many solutions does this system have?
poizon [28]

Answer:

Step-by-step explanation:

5x - y = 3.......(1)

2y = 10x+2.....(2)

Rearranging (2)

-10x + 2y = 2......(3)

Multiply equation (1) by 2

10x - 2y = 6..........(4)

Adding (3) and (4)

-10x + 10x + 2y - 2y = 2 + 6

No solution since both x and y are eliminated.

7 0
3 years ago
Can somebody please help answer this word problem using grass method? And showing how u get the answer thanks!!!
siniylev [52]

Answer:

0.25m or 1/4m

Step-by-step explanation:

Given Height of Dorsal Fin = 1/6 of Length of whale Sculpture,

and given length of whale sculpture = 1.5m or 1\frac{1}{2} m\\

Height of Dorsal fin on scuplture = (\frac{1}{6})(1\frac{1}{2} )\\

= (\frac{1}{6} )(\frac{3}{2}) \\= \frac{3}{12} \\= \frac{1}{4}m or 0.25m

5 0
2 years ago
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