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4 years ago

How do i isolate y in 4x - 2y = 22

Mathematics

1 answer:

Irina18 [472]4 years ago

5 0

4x - 2y = 22

Start by adding 2y to both sides to cancel out the -2y

4x = 22 + 2y

Now you can divide by 4

x = 22/4 + 2y/4

Reduce all the fractions to get your answer, which is

$x = \frac{11}{2} + \frac{y}{2}$

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Use a product of two binomials to find a polynomial that represents the area of Roberto's plot.

Helga [31]

Answer:

First, we know that the area of a rectangle of width W and length L is:

A = W*L

In the case of Roberto's plan, we can see that the length of the whole rectangle is:

L = 1.5ft + x + 1.5ft = 3 ft + x

And the width is:

W = 3ft + x + 3ft = 6ft + x

Then the area of the whole thing is:

A = (3ft + x)*(6ft + x)

This is what we wanted, a product of two polynomials that represents the area of Roberto's plot.

Now if we subtract the white square (is a square of sidelength x, then its area is A = x*x) we will get the area of the border;

The total area of Roberto's borders is:

Area of the border = (3ft + x)*(6ft + x) - x*x

= 3ft*6ft + 3ft*x + x*6ft + x^2 - x^2

= x*9ft + 18ft^2

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3 years ago

What is 268 divided by 6 with a remainder

avanturin [10]

Answer:

264 with a remainder of 4

Step-by-step explanation:

6 0

3 years ago

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For soccer season, Cameron wants to buy a new soccer ball, a pair of shorts, and a pair of soccer shoes. The ball costs $4.95, t

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Add the three items he wants to buy:

4.95 + 9.10 + 5.50 = 19.55

Subtract how much he has already:

19.55 - 2.30 = 17.25

He needs $17.25 more

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3 years ago

PLEASE HELP!!! WILL MARK BRAINLIEST!!! Answers only related to the question please!

Margarita [4]

Answer:

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Step-by-step explanation:

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3 years ago

A survey of 279 SPC students was taken at registration. Of those surveyed: 51 students had signed up for a Language Arts course

stepladder [879]

Treating the amounts as Venn sets, we have that 161 students signed up for only Math, considering that 40 did not sign for any.

For this problem, we consider the following sets:

Set A: Students that have signed up for Arts.

Set B: Students that have signed up for Humanities.

Set C: Students that have signed up for Math.

4 students had signed up for all three courses students, hence:

(A ∩ B ∩ C) = 4.

8 students had signed up for both a Math and Humanities, hence:

(B ∩ C) + (A ∩ B ∩ C) = 8

(B ∩ C) = 8.

18 students had signed up for both a Math and Language Arts, hence:

(A ∩ C) + (A ∩ B ∩ C) = 18

(A ∩ C) = 14.

9 students had signed up for both a Language Arts and Humanities, hence:

(A ∩ B) + (A ∩ B ∩ C) = 9

(A ∩ B) = 5.

36 students had signed up for a Humanities course, hence:

B + (A ∩ B) + (B ∩ C) + (A ∩ B ∩ C) = 36

B + 5 + 8 + 4 = 36

B = 19.

51 students had signed up for a Language Arts course, hence:

A + (A ∩ B) + (A ∩ C) + (A ∩ B ∩ C) = 36

A + 5 + 14 + 4 = 51

A = 28.

Considering that there are 279 students, and supposing 40 did not sign for any course, we have that:

A + B + C + (A ∩ B) + (B ∩ C) + (A ∩ C) + (A ∩ B ∩ C) + 40 = 279.

28 + 19 + C + 5 + 8 + 14 + 4 + 40 = 279

118 + C = 279

C = 161

161 students signed up for only Math, considering that 40 did not sign for any.

More can be learned about Venn sets at brainly.com/question/24388608

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2 years ago