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deff fn [24]
2 years ago
9

A gas station is 9 miles away. How far is the gas station in kilometers? Use the following conversion: 1 mile is 1.6 kilometers.

Mathematics
2 answers:
Nadusha1986 [10]2 years ago
7 0

1 mile = 1.6 kilometers

Multiply total miles by 1.6

9 miles x 1.6 = 14.4 kilometers

Answer: 14.4 kilometers

Sidana [21]2 years ago
5 0

Answer:

14.4 kilometres

Step-by-step explanation:

Given that,

→ 1 mile = 1.6 kilometres

By using this information 9 miles will be,

→ 9 miles × 1.6 km

→ [ 14.4 km ]

Thus, the gas station is 14.4 km away.

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Sheri's brother gave Sam his collection of stamps when she left for college. At that
pychu [463]

Answer: $70 per year.

Step-by-step explanation:

Let's say that x is the number of years that has passed and y is how much the stamp is worth.

So we know that in zero years the stamp was worth $420 because that is the time Sheri gave her brother Sam the stamp. That could bring up the coordinates  (0,420) .

Now we know that in 8 years it was worth $980 and that could be the coordinates (8,980)

To find the rate of change we need to find the different between the y value and divide it by the difference in the x values.

420 - 980 = -560

 0-8 = -8

-560/-8 = 70

The rate of change is 70 which means that it grew by $70 every year.

6 0
3 years ago
Multiply -3i and it’s conjugate. Simplify.
Alex_Xolod [135]

Answer:

-3 + 9i

Step-by-step explanation:

The conjugate of -3i is - 3 - i.

(- 3 i) × (- 3 - i)

Multiply both terms.

-3 + 9i

5 0
3 years ago
Two points on L1 and two points on L2 are given. Use the slope formula to determine if lines L1 and L2 are parallel, perpendicul
vlada-n [284]

Answer:

The lines L1 and L2 neither parallel nor perpendicular

Step-by-step explanation:

* Lets revise how to find a slope of a line

- If a line passes through points (x1 , y1) and (x2 , y2), then the slope

 of the line is m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

- Parallel lines have same slopes

- Perpendicular lines have additive, multiplicative slopes

 ( the product of their slopes is -1)

* Lets solve the problem

∵ L1 passes through the point (1 , 10) and (-1 , 7)

- Let (1 , 10) is (x1 , y1) and (-1 , 7) is (x2 , y2)

∴ x1 = 1 , x2 = -1 and y1 = 10 , y2 = 7

∴ The slope of L1 is m1 = \frac{7-10}{-1-1}=\frac{-3}{-2}=\frac{3}{2}

∵ L2 passes through the point (0 , 3) and (1 , 5)

- Let (0 , 3) is (x1 , y1) and (1 , 5) is (x2 , y2)

∴ x1 = 0 , x2 = 1 and y1 = 3 , y2 = 5

∴ The slope of L2 is m2=\frac{5-3}{1-0}=\frac{2}{1}=2

∵ m1 = 3/2 and m2 = 2

- The two lines have different slopes and their product not equal -1

∴ The lines L1 and L2 neither parallel nor perpendicular

7 0
3 years ago
A sequence is defined by the recursive function f(n 1) = one-halff(n). if f(3) = 9 , what is f(1) ?
Afina-wow [57]

The  value of f(1) = 81

Step-by-step explanation:

For the recursive function, f(n+1) = one-half(n)

Thus, when n = 2,

f(3) = 9

If n = 1,

f(2) = 9×3

f(2) = 27

If n = 0,

f(1) = 27 ×3

f(1) = 81

Learn more about Functions:

brainly.com/question/11624077

#SPJ4

4 0
1 year ago
The perimeter of a swimmingpool is 78 feet. The difference between four times the length and the width is 73.5 feet. What are th
Marianna [84]

Answer:

Length is 22.5 ft

Width is 16.5 ft

Step-by-step explanation:

4L-w=73.5

4L=73.5+w

L=(73.5+w)/4

P=78

P=2L+2w

78=2[(73.5+w)/4]+2w

78=(73.5+w)/2+2w

78=(73.5+w+4w)/2

2•78=73.5+5w

156=73.5+5w

156-73.5=5w

82.5=5w

82.5/5=w

16.5=w

L=(73.5+w)/4

=(73.5+16.5)/4

=90/4

L=22.5

3 0
3 years ago
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