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2 years ago

What is the value of x

Mathematics

2 answers:

bogdanovich [222]2 years ago

8 0

Answer: 37

Step-by-step explanation:

74=2x

37=x

You are trying to get X by itself. Since it's 2x usually you would multiply it but in this case, divide it by itself into both sides so 74 divide 2 equals 37. If you know the order of operations then reverse it.

I'm just confused about how the answer choices are only 108 and 18.

mario62 [17]2 years ago

5 0

Answer:

$\huge\boxed{\sf x = 37}$

Step-by-step explanation:

Since, vertically opposite angles are equal:

74 = 2x

Divide 2 to both sides

74 / 2 = x

37 = x

x = 37

$\rule[225]{225}{2}$

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4 years ago

The Johnson Farm has 500 acres of land allotted for cultivating corn and wheat. The cost of cultivating corn and wheat (includin

babunello [35]

Answer:

He should plant 100 acres of corn and 400 acres of wheat.

Step-by-step explanation:

This problem can be solved by a siple system of equations.

]x denotes the number of acres of corn

y denotes the number of acres of wheat

Building the system:

The Johnson Farm has 500 acres of land allotted for cultivating corn and wheat. This means that:

$x + y = 500$

The cost of cultivating corn and wheat (including seeds and labor) is $42 and $30 per acre, respectively. Jacob Johnson has $16,200 available for cultivating these crops. This means that:

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So, we have the following system

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I am going to write y as a function of x in 1), and replace in 2). So:

$x + y = 500$ means that $y = 500-x$

$42x + 30y = 16,200$

$42x + 30(500-x) = 16,200$

$42x + 15000 - 30x = 16,200$

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$x = \frac{1,200}{12}$

$x = 100$

Now, going back to 1:

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