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3 years ago

7) Original price: ? Discount: 25% Sale price: $28

Mathematics

2 answers:

Studentka2010 [4]3 years ago

3 0

Answer:

Step-by-step explanation:

let be x the price before the discount

original price= 28/(1-0.25)=28/0.75=37.33

original price=37.33

dsp733 years ago

3 0

Answer:

37.3

Step-by-step explanation:

The original price = x which represents 100% of the price. So we subtract 100%-25, which is 100-25=75 or 75%(0.75)

So, $28 is 75% off the original price.

28 divided by .75 = 37.3

Then, 37.3 would be the original price.

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Please help me quickly

Alika [10]

Answer:

Step-by-step explanation:

Y is equal to 17x divided by 2

3 0

3 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:

$42x + 30y = 16,200$

So, we have the following system

$1) x + y = 500$

$2) 42x + 30y = 16,200$

If he wishes to use all the allotted land and his entire budget for cultivating these two crops, how many acres of each crop should he plant?

$1) x + y = 500$

$2) 42x + 30y = 16,200$

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

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

$42x + 30y = 16,200$

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

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

$12x = 1,200$

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

$x = 100$

Now, going back to 1:

$y = 500 - x = 500 - 100 = 400$

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

5 0

3 years ago

Calculate a and b if

const2013 [10]

Notice that

$7^{2014} - 7^{2012} = 7^{2012} \bigg(7^2 - 1\bigg) = 7^{2012} \times 48 = 2^4 \times 3 \times 7^{2012}$

$12=2^2\times3$ , so

$\dfrac{7^{2014}-7^{2012}}{12} = 2^2 \times 7^{2012}$

Then taking the positive square root gives

$\sqrt{\dfrac{7^{2014}-7^{2012}}{12}} = \sqrt{2^2 \times 7^{2012}} = 2\times7^{1006}$

so $\boxed{a=2}$ and $\boxed{b=1006}$ .

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2 years ago

Given f(x) = 5x + 2 and g(x) = 5x - x5x. What is the value of (f g)(1)?

AlladinOne [14]

Answer:A

Step-by-step explanation:

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2 years ago

If the shape of an object changes the perimeter will always change true or false

Ugo [173]

The answer is false due to the object is changes shape not size

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3 years ago