Which equations are equivalent to the given equation?0.4y=10


Choose all answers that are correct
A: 0.4y=10 divided by 0.4
B: 0.4y divided by 0.4=10 divided by 0.4
C: 0.4y*2.5=10*2.5
D:0.4y Divided by 0.4= 10*0.4

The answer is "No", the cost of water is not proportional to the number of sold.

What is the ratio?

The ratio notion is used in mathematics when evaluating two or more numbers. It works as a comparison tool to demonstrate how big or small a particular number is. A ratio divides two quantities to compare them.

As per the given information in the question,

The cost of 6 bottles of water is $4.

Then, the price of each bottle will be,

= $4/6 = $0.66

The next condition is,

The cost of 18 bottles of water is $10

Then, the price of each bottle will be,

= $10/18 = $0.55

Comparing both the values, the ratio is not the same.

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Answer: Volume = 81 cubic inches

Step-by-step explanation:

Given that each cube has length = 3/4 inches

The height H = 3/4 × 8 = 6 inches

Where 8 = number of cubes

The length L = 3/4 × 6 = 4.5 inches

Where 6 = number of cubes

The width W = 3/4 × 4 = 3 inches

Where 3 = number of cubes

The volume V = L × W × H

Substitute all the parameters into the formula

V = 4.5 × 3 × 6 = 81 cubic inches

Therefore, the volume of the rectangular prism is 81 cubic inches

Answer:

Answer: Volume = 81 cubic inches

Step-by-step explanation:

Given that each cube has length = 3/4 inches

The height H = 3/4 × 8 = 6 inches

Where 8 = number of cubes

The length L = 3/4 × 6 = 4.5 inches

Where 6 = number of cubes

The width W = 3/4 × 4 = 3 inches

Where 3 = number of cubes

The volume V = L × W × H

Substitute all the parameters into the formula

V = 4.5 × 3 × 6 = 81 cubic inches

Therefore, the volume of the rectangular prism is 81 cubic inches

Step-by-step explanation:

Answer:

4 sets.

Step-by-step explanation:

We are asked to find the greatest number of sets you can make using 28 pens and 80 pencils.

To solve our given problem, we will find greatest common factor of 28 and 80.

Factors of 28: 1, 2, 4, 7, 14, 28.

Factors of 80: 1, 2, 4, 5, 8, 10, 16, 20, 40, 80.

We can see that the greatest common factor of 28 and 80 is 4, therefore, you can make at-most 4 sets each having same number of pens and pencils.

Answer:

The total cost to make 3 widgets is $64.

Step-by-step explanation:

As cost is give by quadratic function such as

As it costs $29 to produce 2 widgets. So,

As it costs $115 to produce 4 widgets. So,

As it costs $757 to produce 10 widgets. So,

In order to find the values of a, b, c and d, we have to equations [A], [B] and [C]

Subtracting Equation [A] from [B] and [B] from [C]

 12a + 2b = 86  ........[D]

 84a + 6b = 642  ........[E]

Multiplying Equation [D] by 3 and subtracting from [E]

84a + 6b + 3(12a + 2b) = 642 - 86

48a = 384

a = 8

Putting value of a = 8 in equation [D]

12(8) + 2b = 86

96 + 2b = 86

2b = -10

b = -5

Substituting the value of a = 8 and b = -5 in Equation [A].

29= 4a+2b+d

29 = 4(8) + 2(-5) + d

29 = 32 - 10 + d

d = 29 + 10 - 32

d = 7

The required form of equation can be obtained by substituting a = 8, b = -5 and d = 7 in the cost equation. So,

is the required form of equation.

Therefore, the total cost to make 3 widgets will be:

Putting x = 3 in

Hence, the total cost to make 3 widgets is $64.

Keywords: quadratic equation, cost

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Answer:

1400

days

Explanation:

x

%

means  

x

100

, if you are looking for  

x

%

of a value  

y

then it will be  

x

100

⋅

y

Therefore...  

4

%

of  

y

(since we don't have a value, let's use that as a placeholder) is 56...  

4

100

⋅

y

=

56

We can simplify the fraction to a decimal, this gets you  

0.04

y

=

56

To find the value you need, simply divide  

56

0.04

and you get the answer:

56

÷

0.04

=

1400

days