Combining like terms with n
Combine the like terms to create an equivalent expression:
-k + 3k
Simplifyed

Answer:12.5

Step-by-step explanation:

10 c of rice is 2.5x the recipe, so you just have to multiply 5 x 2.5 to the amount of beans.

Answer:

h(n) = -2n -13

Step-by-step explanation:

m+1 = -2(n+6)

Distribute

m+1 = -2n-12

We want to solve for m, as we want a function of n

m +1-1 = -2n-12-1

m = -2n-13

h(n) = -2n -13

Answer:

The answer is 8

Step-by-step explanation:

you do inverse operations so you do 0+8 witch is 8! Hope this Helped ;)

Answer:

A

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

1)

15 + 7n - 8 + 3n = 7n + 3n + 15 - 8 = (7 + 3)n + 15 - 8 = 10 n + 7

Associative Property of Addition

2)

12n + 2 (4 n + 2) = 12 n + 8 n + 4 = (12 + 8) n + 9 = 20 n + 9

Distributive Property of Equality

3)

15 n + (17 n + 9) = (15 n + 7 n) + 9 = (15 + 7) n + 9 = 22 n + 9

Addition Property of Equality,

4)

12 n + 6 + 7 n = 12 n + 7 n + 6 = (12 + 7) n + 6 = 19 n + 16

Associative Property of Addition

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

The property used is the Associative Property of Addition, which allows us to regroup the terms without changing their order.

We grouped the terms (7n + 3n) and (15 - 8) together as (7 + 3)n and simplified them to get 10n + 7.

The property used is the Distributive Property of Multiplication over Addition, which allows us to distribute a factor to each term inside a parenthesis.

We distributed 2 to (4n + 2) to get 8n + 4, and then combined like terms to get,

12n + 8n + 4 = 20n + 4.

The property used is the Addition Property of Equality, which allows us to add the same quantity to both sides of an equation without changing its value.

We added 9 to both sides of the equation to get 15n + (17n + 9) + 9 = 15n + 17n + 18, which simplifies to 22n + 9.

The property used is the Associative Property of Addition, which allows us to regroup the terms without changing their order.
We grouped the terms (12n + 7n) and (6) together as (12 + 7)n and (6), and simplified to get 19n + 6.

Therefore,

15 + 7n - 8 + 3n = 7n + 3n + 15 - 8 = (7 + 3)n + 15 - 8 = 10 n + 7

Associative Property of Addition

12n + 2 (4 n + 2) = 12 n + 8 n + 4 = (12 + 8) n + 9 = 20 n + 9

Distributive Property of Equality

15 n + (17 n + 9) = (15 n + 7 n) + 9 = (15 + 7) n + 9 = 22 n + 9

Addition Property of Equality,

12 n + 6 + 7 n = 12 n + 7 n + 6 = (12 + 7) n + 6 = 19 n + 16

Associative Property of Addition

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Answer:

210

Step-by-step explanation:

Answer:

The homework  grade, to the nearest integer, for a student with a test grade of 68 is 69.

Step-by-step explanation:

The general form of the linear regression equation is:

[tex]y=a+bx[/tex]

Here,

y = dependent variable = test grade

x = independent variable = homework grade

a = intercept

b = slope

Compute the value of a and b as follows:

[tex]a=\frac{\sum Y\cdot \sum X^{2}-\sum X\cdot\sum XY}{n\cdot \sum X^{2}-(\sum X)^{2}}\\\\=\frac{(592\times 44909)-(591\times45227)}{(8\times44909)-(591)^{2}}\\\\=-14.316[/tex]                [tex]b=\frac{n\cdot \sum XY-\sum X\cdot\sum Y}{n\cdot \sum X^{2}-(\sum X)^{2}}\\\\=\frac{(8\times 45227)-(591\592)}{(8\times44909)-(591)^{2}}\\\\=1.195[/tex]

The linear regression equation that represents the set of data is:

[tex]y=-14.316+1.195x[/tex]

Compute the value of x for y = 68 as follows:

[tex]y=-14.316+1.195x[/tex]

[tex]68=-14.316+1.195x\\1.195x=68+14.316\\1.195x=82.316\\x=68.884\\x\approx 69[/tex]

Thus, the homework  grade, to the nearest integer, for a student with a test grade of 68 is 69.

The linear regression equation which models the relationship between homework grade and test grade and the predicted homework grade are :

Using technology, the linear model can be obtained using either excel or a linear regression calculator.

Using a linear regression calculator which gives the linear equation in the form :

y = 1.20x - 14.32

Using the model equation obtained :

y = 1.20x - 14.32

68 = 1.20x - 14.32

68 + 14.32 = 1.20x

82.32 = 1.20x

x = (82.32 ÷ 1.20)

x = 68.6

x = 69 (nearest integer)

Therefore, the estimated homework grade for a test score of 68 is 69

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Answer:

potassium hydroxide

Step-by-step explanation:

Answer:

Potassium hydroxide

Step-by-step explanation:

Answer:

a.............

........

Answer:

A.

Step-by-step explanation:

So the d in this case is 2. D is the number of kilometers Erica walked.

T is the vertical distance.

Find the right choice:

After she had walked 2km along the trail, Erica's vertical distance from the top of the valley was equal to T kilometers.

Answer:

Converse of the Pythagorean Theorem

The Pythagorean Theorem states that if a triangle is a right triangle, then, the sum of the squares of the lengths of the  legs is equal to the square of the length of the hypotenuse.

That is, if a and b are legs and c is the hypotenuse, then

a2 + b2  =  c2

The converse of the Pythagorean Theorem states that if a2 + b2  =  c2, then the triangle is a right triangle.

Step-by-step explanation:

Answer:

The Flower Garden is not in the shape of a right Δ

Step-by-step explanation:

~ To prove that this garden is in the shape of a right triangle, it can be done so through contradiction ~

Pythagorean Theorem is applied to a right triangle, so we can say that the two legs are 10 and 7 feet, the hypotenuse being 13, knowing it is the longest side;

a^2 + b^2 = c^2,

10^2 + 7^2 = 13^2,

100 + 49 = 169,

149 ≠ 169,

So the Flower Garden will not be in the shape of a right Δ

Answer: The area is 0.375 and the perimeter is 3.5

Step-by-step explanation:

The formula to find the area of something is length x width. So you have to multiply 1.5 x 0.25 which equals 0.375.

The formula to find the perimeter of something is length + width + length + width. (basically you have to add up all of the sides). I'm assuming the shape is a rectangle which means 2 sides have a length of 1.5 and the other 2 sides have a width of 0.25. So that means you would have to add 1.5 + 1.5 + 0.25 + 0.25 which equals 3.5

Answer:

Below in bold.

Step-by-step explanation:

Perimeter = 2 * length + 2 * width

= 2*1.5 + 2*0.25

= 3 .5 m.

Area = length * width

= 1.5 * 0.25

= 0.375 m^2.

Answer:

[tex]\huge\boxed{\sqrt{81+18\sqrt7+7}=9+\sqrt7}[/tex]

Step-by-step explanation:

[tex]\sqrt{81+18\sqrt7+7}=(*)\\\\81=9^2\\7=(\sqrt7)^2\\18\sqrt7=(2)(9)(\sqrt7)\\\\(*)=\sqrt{9^2+(2)(9)(\sqrt7)+(\sqrt7)^2}\\\\\text{use}\ (a+b)^2=a^2+2ab+b^2\\\\=\sqrt{(9+\sqrt7)^2}\\\\\text{use}\ \sqrt{a^2}=|a|\\\\=|9+\sqrt7|=9+\sqrt7[/tex]

Answer:

x=1, y= 7

Step-by-step explanation:

−5x+2y=9

y=7x

Substitute the second equation in for the first

-5x +2(7x) = 9

-5x + 14x = 9

Combine like terms

9x = 9

Divide by 9

9x/9 = 9/9

x =1

Now find y

y = 7(1)

y =7

Answer:

Step-by-step explanation:

-5x+2y=9

y=7x

Since you know what y is relative to x, you can plug it into the formula to find your answer.

-5x+2(7x)=9

14x-5x=9

x=1

y=7

Answer:

D

Step-by-step explanation:

because that's the answer.

Answer d

Step-by-step explanation: have a good day :)

Answer:

Mean: 4.3142

Mode: 4.3

Range: 4.1

Step-by-step explanation:

5.1 + 3.7 + 3.1 + 4.3 + 7.2 + 4.3 + 2.5 = 30.2

30.2 ÷ 7 = 4.3142

Answer:

Step-by-step explanation:

First step to finding the mean, is to add all of the numbers up.

5.1 + 3.7 + 3.1 + 4.3 + 7.2 + 4.3 +2.5 = 30.2

The next step is to divide the total against the amount of numbers in the sequence. Since there are 7 numbers in this sequence, you will divide 30.2 by 7.

30.2 / 7 = 4.3 (rounded to the nearest tenth)

The mean of the data set is 4.3

To find the mode, you will look for the number of the set that appears most frequently. I suggest putting the numbers in order of least to greatest, as this keeps them sorted and organized.

2.5, 3.1, 3.7, 4.3, 4.3, 5.1, and 7.2

Looking at these numbers, you can see that 4.3 pops up twice in the data set. This will be the mode, because it is the number that appears most frequently.

To find the range, you take the greatest number in the data set, and subtract it by the smallest.

7.2 - 2.5 = 4.7

That means that 4.7 is the range of the data set.

- Answered by, Inspire with a lowercase L, because the regular word "Inspire" was alreadt taken

Answer:

1/10 or 10%

Step-by-step explanation:

The possible outcomes are below

1H, 1T, 2H, 2T, 3H, 3T, 4H, 4T, 5H, 5T

Since there are 10 possible outcomes, the probability of spinning a 5 and flipping a coin that lands on heads is 1/10 or 10%.

If this answer is correct, please make me Brainliest!

Answer:

X = 13.2

Step-by-step explanation:

W = x

L = 2x + 6

A = 432in^2

x(2x + 6) = 432

2x^2 + 6x = 432

Answer:

x=13.2

Step-by-step explanation:

Answer:

C

Use most of it to pay off the $600 credit card and a

a

Step-by-step explanation:

Base on the scenario been described in the question, the wisest thing Mary should do after receiving $10,000 inheritance on her 21st birthday is to Use most of it to pay off the $600 credit card and Use it all to pay down the student loan debt

Answer:

The sum is addition -----  11 is the answer

Step-by-step explanation:

Answer:

15% tip

Step-by-step explanation:

6/40= 0.15= 15%

Answer:

15% tip.

Step-by-step explanation:

you can divide $6 by $40. this will give you .15 or 15%.

Answer:

i say w< 6

Step-by-step explanation:

if the circle is open then it is less than 6

if the circle is closed than it is 6 or less

Answer:

f(- 2) = - 1

Step-by-step explanation:

To evaluate f(- 2) substitute x = - 2 into f(x), that is

f(- 2) = 2(- 2) + 3 = - 4 + 3 = - 1

For [tex]2^{x}[/tex] + 3, then

f(- 2) = [tex]2^{-2}[/tex] + 3 = [tex]\frac{1}{4}[/tex] + 3 = 3.25

Answer:

I saw this question in me answer option c.

Answer:

x = - 4

Step-by-step explanation:

y = - 8 is the equation of a horizontal line parallel to the x- axis.

A perpendicular line must then be a vertical line parallel to the y- axis.

The equation of a vertical line is x = c

where c is the value of the x- coordinates it passes through.

The line passes through (- 4, - 2) with x- coordinate - 4, thus

x = - 4 ← equation of perpendicular line

Answer:

Determine the equation of the line perpendicular to the line y = –8 through the point (–4, –2).The line y = –8 is ✔ horizontalslantedvertical.The line perpendicular to the line y = –8 is horizontalslanted✔ vertical.The equation of the line perpendicular to the line y = –8 through the point (–4, –2) is ✔ x = –4y = –4x = –2y = –2.

Step-by-step explanation:

Determine the equation of the line perpendicular to the line y = –8 through the point (–4, –2).The line y = –8 is ✔ horizontalslantedvertical.The line perpendicular to the line y = –8 is horizontalslanted✔ vertical.The equation of the line perpendicular to the line y = –8 through the point (–4, –2) is ✔ x = –4y = –4x = –2y = –2.

Answer: 286 minutes

Step-by-step explanation:

x : # of months that has gone by

0.24x : cost of the 24 cent plan after "x" minutes

39.95 + 0.10x : cost of the 10 cent plan after "x" minutes

1. 39.95 + 0.10x > 0.24x

2. 39.95 > 0.24x - 0.10x

3. 39.95 > 0.14x

4. 285.36 > x

x must be AT LEAST 286 minutes for plan #2 (39.95 + 0.10x) to be a better deal

Answer:

286 minutes.

Step-by-step explanation:

Plan one: .24x

Plan two: 39.95 + .10x

When x = 286, the price of plan one is $68.64, which is higher than plan two which is $68.55. This makes the second plan preferable after 286 minutes of use.

Answer:

a lot of triangles

Step-by-step explanation:

hope this helps please give me brainiest

Answer:

In traditional power stations, the original energy source spins a turbine which connects to an electric generator. The generator converts mechanical energy into electrical energy. This working is based on which fundamental principle of physics?

A.

Newton’s law

B.

Ohm’s law

C.

Stoke’s law

D.

Faraday’s law

Step-by-step explanation:

Answer:

Water needed for pool = 486 cubic feet

Plastic liner required for the pool = 298.3 feet

Step-by-step explanation:

Top view of the pool is a composite figure, having one rectangle and a trapezoid.

1). Water needed for the pool = volume of the pool

Volume of the pool = Area of the base × Depth

                               = (Area of the rectangle + Area of the trapezoid)× depth  

Area of the trapezoid = [tex]\frac{1}{2}(b_{1}+b_{2})\times h[/tex]

                                    = [tex]\frac{1}{2}(11+9)\times (12-1.5)[/tex]

                                    = 105 ft²

Area of the rectangle = Length × width

                                    = 11 × 1.5

                                    = 16.5 ft²

Now, volume of the pool = (105 + 16.5) × 4

                                          = 121.5 × 4

                                          = 486 cubic feet

b). Liner required = surface area of the pool excluding top

                             = Surface area of the walls + Area of the pool base

                             = (Perimeter of the pool) × depth + area of the base

                             = (12 + 11 + 1.5 + 10.7 + 9)×4 + 121.5

                             = 176.8 + 121.5

                             = 298.3 square feet

Therefore, amount of water required = 486 cubic feet

liner needed = 298.3 square feet                                  

a. Water needed for pool = 486 cubic feet.

b. Plastic liner required for the pool = 298.3 feet.

a.

Water needed for the pool = volume of the pool

Here

Volume of the pool = Area of the base × Depth

= (Area of the rectangle + Area of the trapezoid)× depth  

So,

Area of the trapezoid = 0.5 × (b1 + b2) × h

= 0.5 × (11 + 9 )(12 -1.5)

= 105 ft²

Now the area of the rectangle

= Length × width

= 11 × 1.5

= 16.5 ft²

Now, volume of the pool = (105 + 16.5) × 4

 = 121.5 × 4

= 486 cubic feet

b). Liner required = surface area of the pool excluding top

= Surface area of the walls + Area of the pool base

= (Perimeter of the pool) × depth + area of the base

= (12 + 11 + 1.5 + 10.7 + 9)×4 + 121.5

= 176.8 + 121.5

= 298.3 square feet

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Answer:

Defined terms and Undefined terms

Step-by-step explanation:

Answer:

375 as the whole number and 375.4 as a decimal.

Step-by-step explanation:

number = 298(1.08)^n , where n is the number of years

so when n = 3

population = 298(1.08)^3 = appr 375

The approximate population be after 3 years is  375 as the whole number and 375.4 as a decimal.

Given that,

Based on the above information, the calculation is as follows:

[tex]= 298(1.08)^n[/tex]

Here n is the number of years

n = 3

So,

[tex]= 298(1.08)^3[/tex]

= 375

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Answer:Wednesday

Step-by-step explanation:

Given

Sunday is considered as 0 day and

Monday as day 1 so Saturday must be considered as day 7

At the end of 155 days

i.e. [tex]\dfrac{155}{7}=22\times 7+1[/tex]

Up to  155 days there are 22 weeks and 1 extra day i.e.

There are 22 Mondays plus 1 extra day i.e. Tuesday

[tex]155^{th}\ \text{day is Tuesday and day after it is wednesday}[/tex]