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oee [108]
3 years ago
8

Carlos and Maria drove a total of 191 miles miles in 3.8 hours. Carlos drove the first part of the trip and average 49 miles per

hour. Maria drove the remainder of the trip and average 52 miles per hour. For approximately how many hours did Maria drive? Round to the nearest tenth is necessary.
Mathematics
1 answer:
ICE Princess25 [194]3 years ago
7 0
Maria drove for 1.6 miles.
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Y-8= - * - 4<br> y=-*<br> 4<br> (3,-5)<br> no solution<br> an infinite number of solutions
muminat

Given:

The system of equation is

y-8=-\dfrac{1}{3}x-4

y=-\dfrac{1}{3}x-4

To find:

The solution of given system of equations.

Solution:

The slope intercept form of a line is

y=mx+b

Where, m is slope and b is y-intercept.

Write the given equation in slope intercept form.

The first equation is

y-8=-\dfrac{1}{3}x-4

y=-\dfrac{1}{3}x-4+8

y=-\dfrac{1}{3}x+4              ...(i)

Here, slope is -\dfrac{1}{3} and y-intercept is 4.

The second equation is

y=-\dfrac{1}{3}x-4              ...(i)

Here, slope is -\dfrac{1}{3} and y-intercept is -4.

Since the slopes of both lines are same but the y-intercepts are different, therefore the given equations represent parallel lines.

Parallel lines never intersect each other. So, the given system of equation has no solution.

Hence, the correct option is B.

3 0
3 years ago
8 1/2 x 2 3/4 x 2/3= 12
Aloiza [94]

Answer:

155.25= 12

Step-by-step explanation:

              17/2*2*1/2 = 12

                 17*1/2 = 12

8 1/2          17/1* 1/2

8*2+1          17*1/1*2  

   2             17*1/1*2

16+1               17/1*2

  2                  17/2

17                     8.5=12

2                    

7 0
3 years ago
1 = 1/4(2x + 8)<br> Need help finding the answer to this!!!
PolarNik [594]

1 = 1/4(2x+8)

1 = 1/2x + 2

1 - 2 = 1/2x

(-1) = 1/2x

x = (-1) : 1/2 = (-1) × 2/1 = (-2)

Answer : x = (-2)

3 0
3 years ago
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SOMEONE PLEASE HELP this is worth 20 points
Ulleksa [173]

Answer:18432

Step-by-step explanation:

6 0
3 years ago
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Your mother saw a sale at the music store on tax-free weekend that advertised two CD’s for $15.95. Your mother said that you hav
Neko [114]

Answer:

20 CDs

Step-by-step explanation:

Assuming you can't buy 1 CD, you have to buy 2 CD's for 15.95, let's see how many 2CD-Batches we can buy with 60:

60/15.95 = 3.76 CD batches

We can't buy the fractional amount, so we have to buy "3" 2-CD-Batches.

Thus, we will have 3 * 2 = 6 CD's  now

Since we had 14 and now we buy 6, we will have

14 + 6 = 20 CDs now.

20 CDs

3 0
3 years ago
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