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GarryVolchara [31]
2 years ago
12

A plane Airport on Tuesday morning for a 755-mile,6- hour trip. For the first part of the tripthe average speed was 105 mphFor t

he remainder of the trip the average speed was 130 mph . How long did the plane fly at each speed ?
Mathematics
1 answer:
worty [1.4K]2 years ago
7 0

Answer:

105 miles / hour for 1 hour

130 miles / hour for 5 hours

Step-by-step explanation:

Part A

  • speed = 105 mph
  • distance = x
  • time = y

Part B

  • speed = 130 mph
  • distance = 755 miles - x
  • time = 6 hr - y

plane Part A: x = 105 *y

Plane Part B: 755 - x = 130*(6 - y)

Put 105*y into the equation for plane B

755 - 105*y = 130*(6- y)                            Remove brackets on the the right.

755 - 105y = 780 - 130y                           Add 130y to both sides

755 - 105y + 130y = 780                          Combine left

755 + 25y = 780                                      Subtract 755 from both sides

25y = 780 - 755                                      

25y = 25                                                  Divide by 25

y = 25/25

y = 1

The plane travelled 1 hour at 105 mile / hour

The plane travelled 5 hour at 130 mile / hour

Check

1 hour for a distance of 1 hr * 105 mph =  105 mile

5 hour for a distance of 5 hr*130 mph <u>  = 650 miles</u>

Total distance =                                          755 miles

Remark

This is a very neat problem. I don't think I've ever seen this variation. It is a little long, but it is well worth your time.

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Juli2301 [7.4K]

Answer: The equation of the sphere is:

(x-2)^2 + (y-2)^2 + (z-5/2)^2 = sqrt(245)/2

Step-by-step explanation:

The centre of the sphere is the midpoint of the diameter, which is

1/2

[(-4,7,6) + (8,-3,5)] =(2,2,5/2)

The length of the diameter is

=sqrt |(8,-3,5) - (-4,7,6)|^2

=sqrt (12^2 + (-10)^2 + (-1)^2)

=sqrt (144+100+1)

=sqrt(245)

so the radius of

the sphere is:

1/2(sqrt(245)) = sqrt(245)/2.

The equation of the sphere is:

(x-2)^2 + (y-2)^2 + (z-5/2)^2 = sqrt(245)/2

4 0
3 years ago
Determine the sum of the first seven terms 256+128+64+32+...​
vova2212 [387]

Answer:

I cannot see the rest of the terms. I only see 4.

Step-by-step explanation:

3 0
2 years ago
Determine whether the given vectors are orthogonal, parallel, or neither. (a) a = 9, 6 , b = −4, 6 orthogonal parallel neither (
labwork [276]

Answer:

(a) Orthogonal, (b) Neither, (c) Parallel, d( Orthogonal

Step-by-step explanation:

a and b are parallel is a=kb

a and b if a dot b = 0

(a) a dot b = (9)(-4)+6(6)=-36+36=0

  a and b are orthogonal

(b) a dot b = 40-7-21=12

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(c) a dot b = -12-108-48=-168

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5 0
3 years ago
A farm lets you pick 3 pints of raspberries for $12.00. Use decimal notation if necessary.
kap26 [50]

Answer:

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Step-by-step explanation:

8 0
2 years ago
Would like to see the step-by-step how to solve this!
tiny-mole [99]

The solutions to the respective equations shown in the image are 220, 41, -52, 1.385 and 11

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more numbers and variables.

a) 23 + (-16) + 42 * 5 - (-3)

= 23 - 16 + 210 + 3 = 220

b) -6(12 - 15) + 23

= -6(-3) + 23 = 18 + 23

= 41

c) -50 + (-10) + (5 - 3)4

= -50 - 10 + 2(4) = -50 - 10 + 8

= -52

d) -4.5 (-0.53) + (-1)

= 2.385 - 1

= 1.385

e) 5 - 2 + 8

= 3 + 8

= 11

The solutions to the respective equations shown in the image are 220, 41, -52, 1.385 and 11

Find out more on equation at: brainly.com/question/2972832

#SPJ1

8 0
1 year ago
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