The expression 1/3b−1/3 factored is

Two thirds of a straight angle is calculated as 120 degrees.

Two thirds of a straight angle can be calculated by first understanding that a straight angle is equal to 180 degrees. When we want to find a fraction of a given angle, we multiply the fraction by the total degree measure of that angle.

In this case, to find two thirds of a straight angle, we multiply 180 degrees by 2/3.
Here is a step-by-step explanation of the calculation:

Understand that a straight angle equals 180 degrees.

Multiply 180 degrees by the fraction 2/3:

(180 degrees) * (2/3) = 120 degrees.

To find the number of full cabins, divide the total number of campers by the number of campers in each cabin. Round the answer up to the nearest whole number.

To find the number of full cabins, you can divide the total number of campers by the number of campers in each cabin.

148 campers / 28 campers per cabin = 5.2857 cabins

Since we can't have fractional cabins, we round up to the nearest whole number, which is 6.

Therefore, there are  that are full.

Final answer:

There are 6 cabins that are full.

Explanation:

To find the number of cabins that are full, we need to divide the total number of campers by the number of campers each cabin can hold. In this case, there are 148 campers and each cabin can hold 28 campers.

We can solve this problem by dividing 148 by 28: 148 ÷ 28 = 5.2857.

Since we cannot have a fraction of a cabin, we round up to the nearest whole number. Therefore, there are 6 cabins that are full.

The simplified expression of 4 +9 "/" 3 "/" 2 x 3 + (3 + 1) x 4 is 17, following the order of operations or PEMDAS.

To simplify the given expression, follow the order of operations, also known as PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction).

The original expression is 4 +9 / 3 / 2 x 3 + (3 + 1) x 4. First, address operations inside parentheses: (3+1) equals 4. The expression becomes 4 +9 / 3 / 2 x 3 + 4 x 4.

Next, handle the multiplication and division from left to right: 9 / 3 equals 3, and 2 x 3 equals 6. Then, 4 x 4 equals 16. This turns our expression into 4 + 3 - 6 + 16.

Finally, perform addition and subtraction from left to right: 4 + 3 equals 7, 7 - 6 equals 1, and 1 + 16 equals 17. Therefore, the simplified expression is 17.

The correct answer I think is

To find the maximum of the function f(x, y) = y² + xy – x² on the square 0 ≤ x ≤ 6, 0 ≤ y ≤ 6, we need to find the critical points by taking the partial derivatives with respect to x and y.

To find the maximum of the function f(x, y), we need to find the critical points by taking the partial derivatives with respect to x and y:

[tex]f_x[/tex] = y - 2x

[tex]f_y[/tex] = 2y + x

Setting these derivatives equal to zero and solving for x and y, we get the critical point (2,2). To determine if this point is a maximum, minimum, or point of inflection, we can use the second derivative test. Taking the second partial derivatives:

[tex]f_{xx[/tex] = -2, [tex]f_{yy[/tex] = 2, [tex]f_{xy[/tex] = 1

Using the discriminant D = [tex]f_{xx} \times f_{yy} - {(f_{xy})}^2[/tex], we have D = [tex](-2) \times 2 - {1}^2[/tex] = -4. Since D is negative, the critical point (2,2) is a saddle point, which means there is no maximum or minimum on the given square.

Answer:

The monthly payment  is $ 154.29

Step-by-step explanation:

Given : time period = 60 months

Annual interest rate = 5.99%

Amount to be borrowed = $8000

We have to calculate the monthly payment.

We know ,

[tex]P=\dfrac{A\cdot \frac{i}{12}}{1-(1+\frac{i}{12})^{-n}}[/tex]

We have,

interest rate = 5.99% = 0.0599

Amount = $8000

time period = 60 months

P is monthly payment.

[tex]P=\dfrac{8000\left(\frac{0.059}{12}\right)}{1-\left(1+\frac{0.059}{12}\right)^{\left(-60\right)}}[/tex]

Simplify, we get,

P = 154.29

Thus, the monthly payment  is $ 154.29

Answer:

18x2 − 12xy + 9y + 11

Step-by-step explanation:

Answer:

-2X+24

Step-by-step explanation:

Answer:

[tex]y=-2x+24[/tex]

Step-by-step explanation:

Let

x------> the number of days

y----->the number of cookies which are left at the end of each day

we know that

[tex]y=-2x+24[/tex]

verify

For [tex]x=0\ days[/tex]

[tex]y=-2(0)+24=24\ cookies[/tex] -----> original amount of cookies

For [tex]x=1\ days[/tex]

[tex]y=-2(1)+24=22\ cookies[/tex]

For [tex]x=12\ days[/tex]

[tex]y=-2(12)+24=0\ cookies[/tex]

Answer:

Three hundred six thousandths.

Step-by-step explanation:

We are asked to write 0.306 in word form.

We can see that our given number has 3 tenths, 0 hundredths and 6 thousandths.

To convert our given number in word form, we will write the number of thousandths in 0.306.

The number of thousandths for our given number are three hundred six thousandths, therefore, our number is three hundred six thousandths.

Answer:y=-6Vx-7

Step-by-step explanation: