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Georgia [21]
3 years ago
6

a red car is traveling 15 miles per hour faster than a blue car. if the red car travels 180 miles in the time needed for the blu

e car to travel 144 miles, find speed of each car
Mathematics
1 answer:
vlabodo [156]3 years ago
5 0
Their distance differs by 15 miles for each hour of travel time. Thus, the travel time of interest is
.. (180 -144) miles/(15 miles/hour) = 2.4 hour

The red car's speed is 180 mi/(2.4 h) = 75 mi/h.
The blue car's speed is 144 mi/(2.4 h) = 60 mi/h.
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Answer:

Step-by-step explanation:

Let's rewrite all the fraction to ratios
4:6, 10:12, 2:5, 4:7

Now, using the direct proportion, if one increase/decrease, the other increase/decrease by the same amount

4:6 = (4x2) : (6x)2 = 8:12
10:12 =( 10:2) : (12:2) = 5:6
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3 years ago
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Answer:

Surface area of the cube = 150\ cm^2

Step-by-step explanation:

Given shape in figure 1:

Cube with edge length = 5 cm

To find the surface area of the cube.

Solution:

The surface area of a cube is given by the formula:

Surface\ Area = 6a^2

where a represents the length of the edges of the cube.

For the given cube a=5\ cm

Plugging a=5\ cm in the formula to find the surface area of the cube.

Surface\ Area = 6(5)^2

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8 0
4 years ago
How to find the least common denominator of 3 fractions?
Lina20 [59]

Answer:

  Find the LCD of the first two, then the LCD of that and the third one.

Step-by-step explanation:

You can do it by finding the LCD of two of the denominators, then the LCD of that and the third denominator.

Or, you can factor each of the denominators and find their LCM by multiplying the unique factors to their highest powers.

___

<u>Example:</u>

  1/21 + 1/35 + 1/45

The LCD of 1/21 and 1/35 is (21·35)/5 = 105. The LCD of 1/105 and 1/45 is ...

  (105·45)/15 = 315

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Using factoring ...

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  • 35 = 5·7
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3 0
4 years ago
Describe lengths of three segments that could not be used to form a triangle. Segments with lengths of 5 in., 5 in., and ______
Vesna [10]

Answer:

c = 11

Step-by-step explanation:

Given

Let the three sides be a, b and c

Such that:

a = b= 5

Required

Find c such that a, b and c do not form a triangle

To do this, we make use of the following triangle inequality theorem

a + b > c

a + c > b

b + c > a

To get a valid triangle, the above inequalities must be true.

To get an invalid triangle, at least one must not be true.

Substitute: a = b= 5

5 + 5 > c ===> 10 > c

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5 + c > 5  ===> c > 5 - 5 ===> c > 0

The results of the inequality is: 10 > c and c > 0

Rewrite as: c > 0 and c < 10

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This means that, the values of c that make a valid triangle are 1 to 9 (inclusive)

Any value outside this range, cannot form a triangle

So, we can say:

c = 11, since no options are given

8 0
3 years ago
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