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notsponge [240]
3 years ago
13

Determine whether quantities vary directly or inversely and find the constant of variation.

Mathematics
1 answer:
gtnhenbr [62]3 years ago
6 0

Answer:

8.75

Step-by-step explanation:

35/4=8.75

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A bottle weighs 1.2 kg when it is 1/4 full of water. It weighs 2.4 kg when it is full. What is the weight of the empty bottle?
sweet [91]

Answer:

Weight of empty bottle = 0.8 kg

Weight of water = 1.6 kg

Step-by-step explanation:

As given , A bottle weighs 1.2 kg when it is 1/4 full of water. It weighs 2.4 kg when it is full.

Let us assume

Weight of empty bottle = x

Weight of water = y

Now,

when the bottle is 1/4 full of water

then,

weight of water = \frac{1}{4}×y

As given , Bottle weight = 1.2 , when it is 1/4 full of water

⇒ Weight of water + weight of bottle = 1.2

⇒ \frac{1}{4}×y + x = 1.2

⇒ y + 4x = 4.8      .......(1)

Also given, A bottle weight = 2.4 , when it is full of water

⇒ Weight of water + weight of bottle = 2.4

⇒ y + x = 2.4        ......(2)

Subtract equation (2) from equation (1) , we get

y + 4x - ( y+ x) = 4.8 - 2.4

⇒ y + 4x - y - x = 2.4

⇒3x = 2.4

⇒x = \frac{2.4}{3} = 0.8 kg

and y = 2.4 - x = 2.4 - 0.8 = 1.6 kg

∴ we get

Weight of empty bottle = x = 0.8 kg

Weight of water = y = 1.6 kg

4 0
3 years ago
Marissa's dance studio charges a monthly fee, plus a fixed amount per class.
Studentka2010 [4]

Answer:

Step-by-step explanation:

4 0
2 years ago
HELP ME PLEASE !!!!!!!!
anzhelika [568]

Answer:

the second one is the answer

8 0
3 years ago
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Questions are on the picture, a-e.
iris [78.8K]
  1. The equilibrium price is $1.12.
  2. If price is $0.98, there would be scarcity of Super Widgets.
  3. When price is $0.98, quantity demanded is y.
  4. When price is $0.98, quantity supplied is x.
  5. When price is $1.22, there would be a surplus of Super Widgets.

<h3>What is equilibrium? </h3>

Equilibrium price is the price at which the quantity demanded equals the quantity supplied. The equilibrium price is $1.12.

Above equilibrium price, quantity supplied would exceed quantity demanded and there would be a surplus. When price is below equilibrium price, quantity supplied would be less quantity demanded and there would be a scarcity.

To learn more about equilibrium, please check: brainly.com/question/26075805

#SPJ1

5 0
2 years ago
If lori can make 2 birdhouses in 3 hours how long will it take her to make 10 birdhouses
andrew11 [14]

Answer:

15 Hours

Step-by-step explanation:

It takes 1.5 hours to build 1 birdhouse, so multiply 1.5×10 and you get 15 hours.

7 0
1 year ago
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