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DIA [1.3K]
3 years ago
12

According to the graph, what is the value of the constant in the equation below?

Mathematics
1 answer:
kow [346]3 years ago
5 0

Option B: 50 is the value of the constant.

Explanation:

From the graph, the coordinates are (4,12.5) , (5,10) , (10,5) and (20,2.5)

Where the x coordinates denotes the width and the y - coordinates denotes the height.

Also, given that Height =\frac{ { Constant }}{{ Width }}$

We need to determine the value of the constant

<u>Value of the constant:</u>

The value of the constant can be determined using the formula,

Height \times weight=Constant

Since, all the coordinates lie on the same line, then all the coordinates have the constant.

Substituting the coordinate (4,12.5) in the above formula, we get,

4\times 12.5=Constant

       50=Constant

Therefore, the value of constant is 50.

Hence, Option B is the correct answer.

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Answer:

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Step-by-step explanation:

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8 0
3 years ago
Read 2 more answers
Solve the simultaneous equation<br> 2x + 4y=1<br> 3x - 5y=7
nexus9112 [7]

Answer:

x = 3/2 or 1.5.

y = -1/2 or -0.5.

Step-by-step explanation:

Solve for one equation, one variable.

2x + 4y = 1

subtrract 4y from both sides.

2x = 1 - 4y

divide by 2 to get x by itself.

x = 1/2 - 2y

Now that we have this, we can put it into the other equation.

3x - 5y = 7

Substitute variable.

3(1/2 - 2y) - 5y = 7

Distribute the 3.

1.5 - 6y - 5y = 7

Combine terms.

-11y + 1.5 = 7

Subtract by 1.5.

-11y = 5.5

Divide by -11.

y = -1/2, or -0.5.

Now we can find x. Substitute this into the initial equation.

2x + 4y = 1

Substitute variable.

2x + 4(-1/2) = 1

Multiply.

2x + (-2) = 1

Simplify.

2x - 2 = 1

Add 2 to both sides.

2x = 3

Divide by 2.

x = 3/2, or 1.5.

x = 3/2 or 1.5.

y = -1/2 or -0.5.

6 0
3 years ago
What percentage is 142-58
Misha Larkins [42]

SOLUTION:

Step 1 :

In this question, we are meant to find what percent of 142 is 58.

Step 2 :

We make the assumption that 142 is 100 % since it is our output value.

Step 3:

We next represent the value we see with x.

Step 4 :

From step 2, it follows that 100 % = 142.

Step 5 :

In the same vein, x % = 58.

Step 6 :

This gives us a pair of simple equations:

\begin{gathered} 100\text{ \% = 142 ---- equ 1} \\ x\text{ \% = 58 }\ldots\ldots\ldots\ldots\text{ equ 2} \end{gathered}

Step 7 :

By simply dividing equation 1 by equation 2 and

taking note of the fact that the Left-Hand Side of both equations have the same unit ( % ), we have that :

\frac{100\text{ \%}}{x\text{ \%}}\text{ = }\frac{142}{58}

Step 8 :

Taking the inverse ( or reciprocal ) of both sides yields:

\frac{x\text{ \%}}{100\text{ \%}}\text{ = }\frac{58}{142}\begin{gathered} x\text{ = }\frac{58\text{ x 100}}{142} \\ \text{x = }\frac{5800}{142} \\ x\text{ = 40.85\%} \end{gathered}

CONCLUSION:

Therefore, 58 is 40.85 % of 142.

4 0
2 years ago
What is2.3684 roundes to the neareat thousandth
shusha [124]
<span>2.3684 rounded to the nearest thousandths is 2.368

</span>
5 0
4 years ago
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