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Alex
3 years ago
14

A 3 L bottle of oil costs $36 and contains 12 cups. Dinesh puts 1 cup of oil, 10 garlic gloves and 1 cup of

Mathematics
1 answer:
saul85 [17]3 years ago
5 0

The correct answer is $15

Explanation:

The first step is to determine the total of oil that was used for the 5 batches. To find this, you just need to multiply the amount of oil used for one batch by the total batches.

1 cup of oil per batch x 5 batches = 5 cups of oil

This means, in the 5 batches the oil Dinesh used was 5 cups of oil. Additionally, you know the total of cups in the bottle of oil is 12 cups, and these 12 cups or total costs $36. Now to find what is the cost of the 5 cups use the rule of three and cross multiplication.

12 cups of oil = $36   1. Write the values

5 cups of oil  = x      

12 x = 180           2.  Cross multiply this means 36x 5 and 12 multipy by x

x = 180 ÷ 12        3. Solve the equation

x=  15 - Cost for 5 cups used in the batches

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Find the area of the parallelogram shown below.
ale4655 [162]

Answer:

<h2><em><u>120</u></em><em><u> </u></em><em><u>square</u></em><em><u> </u></em><em><u>units</u></em><em><u> </u></em></h2>

Step-by-step explanation:

<em><u>Given</u></em><em><u>, </u></em>

Base of the parallelogram = 10

Height of the parallelogram = 12

<em><u>Therefore</u></em><em><u>, </u></em>

Area of the parallelogram = <em>base</em><em> </em><em>×</em><em> </em><em>height</em><em> </em>

= 10 × 12

= 120

<em><u>Hence</u></em><em><u>,</u></em>

<em><u>Area</u></em><em><u> </u></em><em><u>of</u></em><em><u> </u></em><em><u>the</u></em><em><u> </u></em><em><u>parallelogram</u></em><em><u> </u></em><em><u>is</u></em><em><u> </u></em><em><u>120</u></em><em><u> </u></em><em><u>square</u></em><em><u> </u></em><em><u>units</u></em><em><u> </u></em><em><u>(</u></em><em><u>Ans</u></em><em><u>)</u></em>

5 0
3 years ago
Which graph represents an equation in the form =?<br><br> Please help me!!
Genrish500 [490]

That's a question about graphs.

In the Cartesian coordinate system, we have two axes: The x-axis (horizontal) and the y-axis (vertical).

When we want to represent a equation in the cartesian coodinate system, we associate a point in the x-axis and other in the y-axis. The Cartesian coordinate is represented by (x, y).

To represent some equation in a graph, we need at least two points to draw a line that cross these 2 points.

For example: To represent the equation y  = x +1, let's replace the value of <em>x</em>:

  • When<em> x = 0</em> → y = 0 + 1 = 1. Therefore, the coordenate is (0, 1).
  • When <em>x = 1</em> → y = 1 + 1 = 2. Therefore, the coordenate is (1, 2).

Finally, if we draw a line tha cross these 2 points, we will have the graph that represents y  = x +1.

Now you know about it, let's solve our problem?

In that question, we should to find the graph that represents the equation y = kx, but we don't know the value of <em>k</em>, so what should we do? It's easy:

<em>k </em>is a constant. That means that the value of k never changes. Now, let's analyze a specific case:

If <em>x = 0</em>, so <em>y = 0</em> as well. But why? We know that any number multiplied by 0 is equal 0. Therefore:

  • When If <em>x = 0 → </em>y = 0 \times k = 0. So, this graph cross the coordinate (0,0).

With the informations that the problem give to us, these are the unique things that we can find, but that's enough.

When we look at the options, just the second graph have a line that cross the coordenate (0, 0). Therefore, the correct answer is the graph below:

I hope I've helped. :D

Enjoy your studies! \o/

8 0
3 years ago
Find the value of x<br> A. 8 <br> B. 4<br> C. 19<br> D. 24
hodyreva [135]
<h3>Hello There!!</h3>

Given figure is a <u>parallelogram</u>

<u>To </u><u>Find</u>

Value of"x"

<h3><u>Solution</u></h3>

m \angle \: A = m \angle  \: C

2x + 35 = 5x - 22

\implies 2x - 5x =  - 22 - 35 \div  \\  \implies - 3x =  - 57 \\   \\ \implies x =  \frac{ - 57}{ - 3}  \\  \\  \implies  x =  \cancel\frac{ - 57}{ - 3} \\  \\  \implies x = 19

\therefore \text{Option C= 19 is the correct answer}

<h3>Hope this helps</h3>
4 0
2 years ago
Find the variation constant and an equation of variation for the given situation.
Angelina_Jolie [31]

Answer:

\displaystyle y=14\cdot x

Step-by-step explanation:

<u>Directly Proportion</u>

It's said that y varies directly proportional as x, if:

y=k\cdot x

Where k is a constant of proportionality.

We know that y=7 when x=1/2.

Using the above condition, we can find the value of k:

\displaystyle 7=k\cdot \frac{1}{2}

Solving for k:

k=14

Thus, the equation is:

\boxed{\displaystyle y=14\cdot x}

6 0
3 years ago
Question Please <br><img src="https://tex.z-dn.net/?f=5%20%5Cfrac%7B3%7D%7B4%7D%20%20%5Cdiv%201%20%5Cfrac%7B1%7D%7B2%7D%20" id="
saveliy_v [14]
The answer is 23/6 or 3.83333333
8 0
3 years ago
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