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Sonja [21]
3 years ago
7

Mateo's family took a trip to visit some relatives. They drove for 2 1/2 hours at 55 mph to get there but the trip home took the

m 15 minutes longer. At what speed were they traveling on the drive home?
Mathematics
1 answer:
Eva8 [605]3 years ago
7 0

Answer:

 Speed they were traveling on the drive home = 50 mph

Step-by-step explanation:

Trip to relatives home:

   Speed = 55 mph

   Time taken = 2 1/2 hours = 2.5 hours

   Distance = Speed x Time taken = 55 x 2.5 = 137.5 miles.

Trip to drive home:

   Time taken = 2 1/2 hours + 15 minutes = 2 3/4 hours = 2.75 hours

   Distance  = 137.5 miles.

   Speed = Distance / Time = 137.5/2.75 = 50 mph

Speed they were traveling on the drive home = 50 mph

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The function f(x) = -6x. The graph of g(x) is f(x)vertically stretched by a factor of 7 and reflected in the x-axis. What is the
Vera_Pavlovna [14]

we are given a function

f(x)=-6x

First translation:

The graph of function  is  vertically stretched by a factor of 7

Whenever we vertically stretch any function  by 'a' units

so, we can write it as

g(x)=a\times f(x)

Here, it is vertically stretch by 7

so, we get

g(x)=7\times -6x

g(x)=-42x

Second translation:

Whenever we reflect  any function  about x-axis

we multiply y-value by -1

so, we can write it as

g(x)=-f(x)

Here , it is reflected in the x-axis

so, we can multiply by -1 to y-value

we get

g(x)=-1\times -42x

g(x)=42x.............Answer


3 0
3 years ago
Read 2 more answers
Answer to this math problem
Cerrena [4.2K]
Subsitute 1/3 for t

18(\frac{1}{3})^2=18(\frac{1}{9})=\frac{18}{9}=2
4 0
2 years ago
The radius of a size 5 soccer ball is approximately 11.5 cm. How many square inches of synthetic leather does it
kakasveta [241]

Answer:

1661.06 cm²

Step-by-step explanation:

From the question given above, the following data were obtained:

Radius (r) = 11.5 cm

Size of synthetic leather needed =?

To know how many square centimetres of synthetic leather needed to cover the ball, we shall determine the area of the ball. This can be obtained as follow:

Radius (r) = 11.5 cm

Pi (π) = 3.14

Area of ball =?

The shape of a ball is spherical in nature. Thus, we shall apply the formula for calculating the area of a sphere. This is illustrated below:

A = 4πr²

A = 4 × 3.14 × 11.5²

A = 4× 3.14 × 132.25

A = 1661.06 cm²

Thus, 1661.06 cm² of synthetic leather needed to cover the ball.

6 0
2 years ago
The base of a triangular prism has an area of 18 square inches . If the height of the prism is 4.5 inches then what is the volum
Nady [450]

Answer:

The volume for the triangular prism is 40.5 cubic inches.

Step-by-step explanation:

Given:

The base of a triangular prism has an area of 18 square inches .  

And the height is 4.5 inches.

Now, to get the triangular prism volume.

The base area = 18 square inches.

Height = 4.5 inches.

Now, to get the volume of prism we put formula:

Volume=\frac{1}{2} \times base\ area\times height\\\\Volume=\frac{1}{2} \times 18\times 4.5\\\\Volume=40.5\ cubic\ inches.

Therefore, the volume for the triangular prism is 40.5 cubic inches.

7 0
2 years ago
Help please!!!!!!!!!!!!!
fiasKO [112]

Answer:

<QPR = 98.5 degrees

Step-by-step explanation:

a line = 180 degrees

7x + 4 + 9x - 40 = 180

16x - 36 = 180

16x = 216

x = 13.5

<QPR = 7x + 4 = 7(13.5) + 4 = 98.5

5 0
2 years ago
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