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Ber [7]
3 years ago
5

Carlos and Maria drove a total of 197 miles In 3.8 hours. Carlos drove the first part of the trip and averaged 55 miles per hour

. Maria drove the
remainder of the trip and averaged 47 miles per hour. For approximately how many hours did Maria drive? Round your answer to the nearest tenth if
necessary.
Mathematics
1 answer:
Dima020 [189]3 years ago
4 0

Answer:

1.5 hours

Step-by-step explanation:

Carlos = x

Maria = y

55x + 47y = 197

x + y = 3.8

x = 3.8 - y

55(3.8 - y) + 47y = 197

209 - 55y + 47y = 197

-8y = -12

y = 3/2 = 1.5

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The coordinates of the endpoints of AB and CD are A(2,
Ratling [72]

Answer:

Option 1: CD is a perpendicular bisector of AB

Step-by-step explanation:

Let us find out the slopes of various line segments and the Distances and then we will draw the conclusions accordingly.

Formula to find slope

m= \frac{y_2-y_1}{x_2-x_1}

Formula to Find Distance between two points

D=\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}

mAB ( represents , Slope of AB )

1. mAC= \frac{3-2}{2-5}=\frac{1}{-3}=-\frac{1}{3}

2. mBC=\frac{2-1}{5-8}=\frac{1}{-3}=-\frac{1}{3}

3. mCD=\frac{5-2}{6-5}=\frac{3}{1}=3

4. AC=\sqrt{(3-2)^2+(2-5)^2} =\sqrt{(1)^2+(-3)^2}=\sqrt{1+9}=\sqrt{10}

5. BC=\sqrt{(2-1)^2+(5-8)^2} =\sqrt{(1)^2+(-3)^2}=\sqrt{1+9}=\sqrt{10}

mAC = mBC  , and C is common point , hence these three are collinear points  making a straight line whole slope is -\frac{1}{3}

mAB=-\frac{1}{3}

mCD=3

mAB \times mCD = -\frac{1}{3} \times 3 = -1

Hence CD ⊥ AB

Also

From Point 4 and point 5 above , we see that

AC = CB

Hence CD bisect AB at C, also CD ⊥ AB

There fore

CD is a perpendicular bisector of AB

Therefor option 1 is true

4 0
3 years ago
4 > p - 1
alexdok [17]

Answer:

p < 5

I think this is the answer?..

5 0
2 years ago
What number is six tenths less than 0.923?
Gennadij [26K]

Answer:

0.323

Step-by-step explanation:

The tenths place is the 1st number in the decimal. In this case, it would be 9. 9-6=3. So you would replace the 9 with a 3.

pls mark brainliest.

5 0
2 years ago
NO LINKS OR ATTACHMENTS PLEASE. Maria had picked 6 bags of oranges. How many glasses of orange juice could she make if each glas
attashe74 [19]

Answer:

24

Step-by-step explanation:

You just do 6 / 1/4 = 24

7 0
2 years ago
Solve the absolute value equation graph the solution 2 |3x-5| -8=8
Mila [183]
2 | 3x - 5 | - 8 = 8

=> 2 | 3x - 5 | = 8 + 8

=> 2 | 3x - 5 | = 16

=> | 3x - 5 | = 16 / 2

=> | 3x - 5 | = 8

=> 3x - 5 = 8              or     3x - 5 = - 8

=> 3x = 13                 or     3x = - 3

=> x = 13 / 3              or        x = - 1

=> x = 4 and 1/3        or x = - 1

So, the answer is the second option x = - 1 or x = 4  1/3

The graph of such solutions are just the point in the real line.

For x = 4  1/3, divide the segment from 4 to 5 in three equal parts (add two divisions between 4 and 5) and mark your point in the first division after 4.
4 0
3 years ago
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