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Answer:

[tex]\huge\boxed{x=\dfrac{4}{3};\ y=\dfrac{2}{3}\to\ \left(\dfrac{4}{3};\ \dfrac{2}{3}\right)}[/tex]

Step-by-step explanation:

[tex]\underline{+\left\{\begin{array}{ccc}\dfrac{1}{4}x+y=1\\\dfrac{3}{2}x-y=\dfrac{4}{3}\end{array}\right}\qquad|\text{add both sides of the equations}\\\dfrac{1}{4}x+\dfrac{3}{2}x=1+\dfrac{4}{3}\\\\\dfrac{1}{4}x+\dfrac{3\cdot2}{2\cdot2}x=\dfrac{3}{3}+\dfrac{4}{3}\\\\\dfrac{1}{4}x+\dfrac{6}{4}x=\dfrac{3+4}{3}\\\\\dfrac{1+6}{4}x=\dfrac{7}{3}\\\\\dfrac{7}{4}x=\dfrac{7}{3}\qquad|\text{multiply both sides by}\ \dfrac{4}{7}[/tex]

[tex]\dfrac{4\!\!\!\!\diagup}{7\!\!\!\!\diagup}\cdot\dfrac{7\!\!\!\!\diagup}{4\!\!\!\!\diagup}x=\dfrac{4}{7\!\!\!\!\diagup}\cdot\dfrac{7\!\!\!\!\diagup}{3}\\\\x=\dfrac{4}{3}[/tex]

Put it to the first equation

[tex]\dfrac{1}{4\!\!\!\!\diagup}\cdot\dfrac{4\!\!\!\!\diagup}{3}+y=1\\\\\dfrac{1}{3}+y=1\qquad|\text{subtract}\ \dfrac{1}{3}\ \text{from both sides}\\\\y=\dfrac{3}{3}-\dfrac{1}{3}\\\\y=\dfrac{3-1}{3}\\\\y=\dfrac{2}{3}[/tex]

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Explanation:

Whenever you have a series of nothing but '1's like this, the base 10 equivalent is always going to be 1 less than a power of 2.

The number will be of the form [tex]2^n-1[/tex] where n is a nonnegative integer.

If you're familiar with the list of powers of 2, then you'll likely realize that 64 is a power of 2 since [tex]2^6 = 64[/tex]. One less than this is [tex]2^6-1 = 64-1 = 63[/tex]

This leads to choice A as the answer.

The other answer choices are not one less than a power of 2, so we can cross those off the list.

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Further explanation:

Each slot in the binary number given represents a power of 2. We multiply those '1's by a power of 2 and add them up like so

1*(2^5) + 1*(2^4) + 1*(2^3) + 1*(2^2) + 1*(2^1) + 1*(2^0)

1*32 + 1*16 + 1*8 + 1*4 + 1*2 + 1*1

32 + 16 + 8 + 4 + 2 + 1

63

Summing the first n powers of 2 leads to the result [tex]2^{n}-1[/tex]

So, summing the first 6 powers of 2 leads to [tex]2^n-1 = 2^6-1 = 63[/tex]

Answer:

do it as 1. 2. 3. 4. and so on!

Step-by-step explanation:

The 8-pound bags of oranges cost less per pound than 3-pound bags because the cost for 1-pound bag of oranges is 1.125 (this was taken from $9 divided by 8-pound). The cost per 1-pound bag of oranges ($4 divided by 3-pound bags) is 1.33...

Answer:

vertically stretched by multiplying each of its y-coordinates by 6, and is followed by a reflection across the x-axis.

Step-by-step explanation:

[tex]f(x)=\dfrac{2}{3}x-1\qquad|\text{multiply both sides by (-6)}\\\\-6f(x)=-6\cdot\dfrac{2}{3}+(-6)(-1)\\\\-6f(x)=-4x+6\\\\-6f(x)=-(4x-6)[/tex]

Answer: 2c - 16

Step-by-step explanation: Distribute

Answer:

2c-16

explaination:

2(c-8) = 2c-16

Answer:

Pretty sure its false

Step-by-step explanation:

Answer: False

Step-by-step explanation:

Answer:

18 period nah im playing

Step-by-step explanation:

Answer:

Step-by-step explanation:

To determine to measure of the unknown angle, be sure to use the total sum of 180°. If two angles are given, add them together and then subtract from 180°. If two angles are the same and unknown, subtract the known angle from 180° and then divide by 2.

Answer:

P ≤ 9000

Step-by-step explanation:

p is less than or equal to 9000 pounds

Answer:

B

Step-by-step explanation:

6n - 2(4n + 7) + 4= -2 firstly you open the bracket

6n - 8n - 14 + 2 = -2 then you collect the like terms

6n - 8n= -2 + 14 - 4 then add and subtract and divide by the coefficient

-2n= 12 - 4

-2n = 8

= n = 8 ÷ -2

n = -4

Answer:

X= -7

Step-by-step explanation:

Divide both sides of the equation by 6.

Move the constant to the right.

Add the numbers.

Change the signs.

Answer:

x = -7

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define

6(-x - 3) = 24

Step 2: Solve for x

Step 3: Check

Plug in x into the original equation to verify it's a solution.

Here we see that 24 does indeed equal 24.

∴ x = -7 is the solution to the equation.

Answer:

-5 2/5

Step-by-step explanation:

we know that 2/5 is 0.4 so

it is -5.4

-5.4 is greater than -5.7

Answer:

300/1

Step-by-step explanation:

300 = 300/1

I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!

Answer:

300/1

Step-by-step explanation:

Answer:

x > 8 or (8,∞)

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable

Hope this helped you!! :)

Answer:

x > 8 or (8,∞)

Step-by-step explanation:

hope this helps

Answer:

7

Step-by-step explanation:

Answer:

3 * (-10.50)

Step-by-step explanation:

Anaya will have -10.50 x 3 taken out of her account on monday.

-10.50 3 times

I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!

Answer:31.50

Step-by-step explanation: 10.50 multiplied by 3 is 31.50

10.50×3

Answer: 20/22

Step-by-step explanation:

You divide 5/14 by three and then multiply that answer by 8

Answer:

Line 1 is 0 . Line 2 is undefined.

Answer:

He doesn't have enough money because the total of things he wants to buy is more than the money he has.

Step-by-step explanation:

9 + 2.65 + 1.35 + 2(1.74) must be less than or equal to 15. However all of this added together equals $16.48. This means that he doesn't have enough money.

Answer:

The total price of the items he wants to buy is $1.48 over the amount of money he has.

Step-by-step explanation:

Answer:

x = 6

Step-by-step explanation:

-(x - 8) = 2

multiply the negative

-x + 8 = 2

subtract 8 from both sides

-x = -6

x = 6

Answer:

x = 6

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define Equation

-(x - 8) = 2

Step 2: Solve for x

Step 3: Check

Plug in x into the original equation to verify it's a solution.

Here we see that 2 does indeed equal 2.

∴ x = 6 is the solution to the equation.

Answer:

402 because it is the answer because I add it all up

Answer:

8%

Step-by-step explanation:

Answer:

Yes this is a solution to the system of equations.

Step-by-step explanation:

What you do is you have to make sure that 1 and 2 are both real numbers, then you substitute the 7 for the first equations and the 14 from the second equation, and put the 2 there instead.  Because you used the Y as the 7 in the first equation you can get rid of the Y in the equation and get X = 2, and you just check to make sure that 2 is included in the ( ).  You are welcome :)

Answer: 10

Step-by-step explanation: I think, doubloe check

Answer:

15.75

Step-by-step explanation:

first figure out how much each bag is (5.25) so 26.25 / 5

then multiply by 3

= 15.75