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3 years ago

Direct variation or not a direct variation y=5/x

Mathematics

1 answer:

MrRissso [65]3 years ago

7 0

Answer:

not direct variation

Step-by-step explanation:

The equation for x and y in direct variation is

y = kx ← k is the constant of variation

y = $\frac{5}{x}$ is not in this form, thus not direct variation.

The equation for x and y varying inversely is

y = $\frac{k}{x}$ ← k is the constant of variation

y = $\frac{5}{x}$ is in this form and represents inverse variation

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John & friends brought 4 bags of popcorn and 3 sodas at the movie for a total of 13.50. At the next movie John & friend

scoray [572]

Answer:

The cost of 5 bags of popcorn and 2 sodas is 14.25 units.

Step-by-step explanation:

We are given the following in the question:

Let x units be the cost of a popcorn bag and y units be cost of soda.

The cost of 4 bags of popcorn and 3 sodas is 13.50.

Thus, we can write the equation:

$4x + 3y = 13.50$

The cost of 2 bags of popcorn and 5 sodas is 12.00

Thus, we can write the equation:

$2x+5y=12$

Solving the two equations, we get,

$4x + 3y-(4x+10y) = 13.5 - 24\\\Rightarrow -7y =10.5\\\Rightarrow y = 1.5\\\Rightarrow 2x + 5(1.5) = 12\\\Rightarrow x = 2.25$

Thus, the cost of popcorn bag is 2.25 units and the cost of a soda is 1.5 units.

Cost of 5 bags and 2 sodas

= $=5x+2y\\=5(2.25) + 2(1.5)\\=14.25$

Thus, cost of 5 bags of popcorn and 2 sodas is 14.25 units.

8 0

3 years ago

The scale on a map is 1: 75 000. (a) Calculate the ACTUAL distance, in km, between two places which are 16 cm apart on the map.

finlep [7]

Answer:

a. 1 200 000 km

b. 0.000 773 cm

c. 67 500 000 000 km²

d. 0.000 000 016 cm²

Step-by-step explanation:

a. Calculate the ACTUAL distance, in km, between two places which are 16 cm apart on the map.

Since the scale is 1 : 75000 that is 1 cm : 75000 km, we want to find the actual distance of 16 cm on the map. Let x be the actual distance in km.

So, 1 cm : 75000 km = 16 cm : x km

So, 1 cm/75000 km = 16 cm/x km

Thus x km = 16 cm × 75000 km/1 cm = 1 200 000 km

(b) Calculate length of a road on the map which is 0.58 km.

Let y be the length of road on the map. So, using our scale

1 cm : 75000 km = y cm : 0.58 km

So, 1 cm/75000 km = y cm/0.58 km

Thus y cm = 0.58 km × 1 cm/75000 km = 0.000 773 cm

(c) Calculate, in km², the ACTUAL area of a lake which is 12 cm2 on the map.

Since the scale is 1 : 75000 , the scale for the area would be the square of this. So, 1² : 75000² = 1 : 5 625 000 000 which is 1 cm² : 5 625 000 000 km²

Let z be the actual area of the lake.

So, 1 cm² : 5 625 000 000 km² = 12 cm² : z km²

So, 1 cm²/5 625 000 000 km² = 12 cm²/z km²

Thus z km² = 12 cm² × 5 625 000 000 km²/1 cm² = 67 500 000 000 km²

(d) Calculate the area of a play field on the map which has has an actual area of 90 km².

Let a represent the area of the play field on the map. Using our scale for the area,

1 cm² : 5 625 000 000 km² = a cm² : 90 km²

So, a cm² = 90 km² × 1/5 625 000 000 km² = 0.000 000 016 cm²

4 0

2 years ago

A geologist visits 40 volcanoes in Alaska and California.how many volcanoes does the geologist visit in California and how many

solong [7]

<h2><u>PLEASE MARK BRAINLIEST!</u></h2>

Answer:

I don't know for sure, but there are a bunch of different options. Here they are:

Step-by-step explanation:

1 + 39

2 + 38

3 + 37

4 + 36

5 + 35

6 + 34

7 + 33

8 + 32

9 + 31

10 + 30

11 + 29

12 + 28

13 + 27

14 + 26

15 + 25

16 + 24

17 + 23

18 + 22

19 + 21

20 + 20

Those are the options of how many volcanoes that they could have visited. They could have visited 23 volcanoes in Alaska and 17 in California. Who knows?

California only has 20 volcanoes, and Alaska has 40, so your answer will be one of these options. Hope this helps!

5 0

3 years ago

Hey, what is 2000x5?

Gnoma [55]

Answer:

Step-by-step explanation:

2000x5=10,000

3 0

3 years ago

Donna wants to decorate her bulletin board she has 38 meters of green ribbon to go around the bulletin board and she has to use

andreev551 [17]

If you are asking for the perimeter of the bulletin board the answer below will be correct!

Answer:

Square option: 9.5 Meters

Rectangle option: see explanation below

Step-by-step explanation:

To find the perimeter you must add the lengths of all the sides. Assuming the bulletin board is a SQUARE all four sides are going to be equal. Therefore you can divide 38 by 4 to get the length of one side (aka 9.5 meters).

Assuming the bulletin board is a RECTANGLE changes things up. You can pretty much pick any combination of numbers that will add up to 19 (because if it is a rectangle there are two pairs of equal side lengths). You could do 1 + 18, 5+14, 8+11. The options are really endless

4 0

2 years ago