Solve the following proportion using the multiplication property of equality

A group of friends will host a party and split the cost of food and supplies evenly. The cost that each person will pay is inver

timofeeve [1]

Answer:

C=60/h

Step-by-step explanation:

Cost is inversely Proportional to the number of friends who decides to host.

If five (5) friends host the party,

And each friend pays $12 for food and supplies

The equation that describes the relationship is

C=k ×1/h

Where,

C= cost that each host pays

K=constant

h=number of host

Therefore,

$12=k×1/5

$12=k/5

Make k the subject of the formula

$12=k*1/5

Multiply both sides by 5

12×5=k*1/5×5

60=k*5/5

60=k*1

60=k

Sub the value of k into

C=k ×1/h

C=60*1/h

C=60/h

4 0

3 years ago

I need help on the last part!

stellarik [79]

Answer:

0; (0, 0); 144; (3, 144)

Step-by-step explanation:

Y = distance (m)

X = time (hr)

X = 48x

If a car travels for 0 hours, it will travel __ mile(s).

y = 48x

Plug in 0 hours for x (time in hours)

y = 48(0)

Any number mutliplied by 0 equals 0

y = 0

If a car travels for 0 hours, it will travel 0 miles. This means it will pass through the point (0, 0).

(0, 0) limits our options to graphs B and D

Car travels 144 miles in 3 hours

To find how many miles it travels in 1 hour, divide 144 miles by 3 hours

144 ÷ 3 = 48

In 1 hour, a car travels 48 miles

If 48 × 3 = 144, then 48 × 4 = ?

48 × 4 = 192

When looking at graph D, there are 4 lines above 0

Counting by 48, it perfectly fits 192 by the fourth line

From (0, 0), if we move 3 units to the right we can find the third vertical line intersecting

Since the lines are counted by 48 and we are looking at the third line: 48 × 3 = 144

Use the slope to move 3 units to the right of the origin and 144 unit(s) up to the find the point (3, 144) that can be used to graph the relationship

7 0

3 years ago

Read 2 more answers

46 is three less than seven times a number. find the number

Tanya [424]

The number is seven because 7×7 = 49 and 49-3 = 46

4 0

3 years ago

Una persona que está situada entre dos montañas emite un sonido, si percibe el primer eco a los 2 seg, y el siguiente a los 3 se

Goryan [66]

Answer:

1715 metros

Step-by-step explanation:

Lo que debemos hacer es calcular la distancia del primer y del segundo eco.

Debemos conocer la velocidad del sonido que en términos generales es 343 m/s, por lo tanto, la distancia sería igual a:

v = d/t => d = v*t

d1 = 343*2 = 686 metros

d2 = 343*3 = 1029 metros

La separación sería la suma de ambas distancias así:

686 + 1029 = 1715

1715 metros sería la distancia de separación entre ambas montañas.

3 0

3 years ago

The pressure at sea level is 11 atmosphere and increases at a constant rate as depth increases. When Sydney dives to a depth of

Taya2010 [7]

Answer:

p(x) = 0.1x + 1

Step-by-step explanation:

Pressure at sea level = 1 atmosphere

Depth dove by Sydney = 23 meters

Pressure at a depth of 23 meters = 3.3 atmospheres

So,

Pressure at a depth of 23 meters = Pressure at sea level + k * Depth dove by Sydney

where k is the diving rate constant

=> 3.3 = 1 + k(23)

=> 3.3 = 23k + 1

Subtracting 1 from both the sides, we get

3.3 - 1 = 23k + 1 -1

Cancelling out the +1 and -1 from the right side, we get

2.3 = 23k

=> 23k = 2.3

Dividing both sides by 23, we get

$\frac{23k}{23} = \frac{2.3}{23}$

Cancelling out the 23's from the top and bottom of the left side, we have

k = 0.1

Plugging in the value of k in the equation, we get

Pressure at a particular depth = Pressure at sea level + k * Depth dove by Sydney

p(x) = 1 + k(x) [where p(x) is the pressure at a depth x]

=> p(x) = 1 + 0.1(x)

=> p(x) = 0.1x + 1

5 0

3 years ago