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The expression is  negative one eighteenth times x plus 18.

The expression says "one sixth times the quantity 4 times x plus 18 end quantity minus 13 over 18 times x".

Therefore, the statement can be expressed as follows;

1 / 6 × 4 × x + 18 - 13 / 18 × x

Therefore, let's simplify it

1 / 6 × 4 × x + 18 - 13 / 18 × x

4x / 6 + 18 - 13 / 18 × x

4x / 6 + 18 - 13 / 18 x

combine like terms

4x / 6 + 18 - 13 / 18 x

4x / 6 - 13 / 18 x + 18

12x - 13x / 18 + 18

Therefore,

- 1 / 18 x + 18

Therefore, the expression is  negative one eighteenth times x plus 18.

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Answer: b) negative one eighteenth times x plus 3

Step-by-step explanation: :)

The solution to the linear equation is v = -36

Here we have a simple linear equation:

v/3 + 3 = v/4

To solve this, we need to isolate the variable v.

First, let's move all the terms with "v" to the left and the terms without to the right side, so we get:

v/3 - v/4 = -3

Now we can solve this:

4v/12 - 3v/12 = -3

v/12 = -3

v = -3*12

v = -36

The solution to the linear equation is v = -36

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The surface area of square pyramid is 64 ft²

What is square pyramid?
In terms of geometry, a square pyramid is a pyramid with a square base and four lateral faces. A pyramid is a type of polyhedron with three or more triangular faces that meet above its base (the apex). A square pyramid is a pentahedron, a three-dimensional shape with a total of five faces. The Great Pyramid of Giza is a well-known example of a real-life pyramid. When we learn about pyramids, we must also learn other concepts that are related to them, such as the volume and area of the pyramid. In this article, we will learn what a square pyramid is, its types, characteristics, surface area formulas, and volume formulas with numerous examples and solutions.

For a square pyramid, the surface area is given by the following equation:

SA = a^2 + 4(a)(h)
where a is the side length of the base and h is the slant height.
In this case, a = 4 and h = 3. Therefore,
SA = 4^2 + 4(4)(3)
SA = 16 + 48
SA = 64 ft^2

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Answer:

12.87

Step-by-step explanation:

Since we know that line CD is a perpendicular bisector, triangle ACD is a right triangle, and thus we can apply the Pythagorean theorem to determine the length of side CD. Since the Pythagorean theorem states that a^2 + b^2 = c^2, where c is the hypotenuse and a and b are the adjacent sides, we can plug in the values of side AD and AC.

As side CD is the bisector of side AB, sides AD and DB are both half the length of side AB, so:
AD = 11/2
AD = 5.5

We now know two values of our equation, and thus we can solve for the missing third value.

5.5^2 + b^2 = 14^2
14^2 - 5.5^2 = b^2
196 - 30.25 = b^2
165.75 = b^2
[tex]\sqrt{165.75} = b[/tex]
b = 12.87

The solution of the given equation is y = (6x - 11)/4.

The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.

We have been given that equation as

⇒ 6x - 4y = 11

We have to determine the solution for y.

⇒ 6x - 4y = 11

Rearrange the terms of the above equation and solve for y,

⇒ 4y = 6x - 11

Divided by 4 on both the side of the equation, we get

⇒ y = (6x - 11)/4

Hence, the solution of the given equation is y = (6x - 11)/4.

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Answer:

6.505

Step-by-step explanation:

[tex]\frac{7}8}[/tex]  Put in your calculator 7 ÷ 8 and you will get .875  

So, 10 [tex]\frac{7}{8}[/tex] is 10.875  now subtract this from 4.37.  You can line up the decimals and then subtract or just have the calculator do this for you, if you are allowed.

10.875 - 4.37 = 6.505

Answer:

1/8

Step-by-step explanation:

Answer:3 11/14

Step-by-step explanation:im right

Answer:

Step-by-step explanation:

Work done is transfer of energy...... but without complicating things a little further let's just consider the amount of work done while cleaning the backyard is the same regardless of who the doer is/ how many in number are the doers. So

So power is the time rate change of work done:

[tex]P=w/t\\[/tex]

let's say power of LeeAnn =L, Mandy=M

[tex]L=w/30 minutes\\M=w/25 minutes\\[/tex]

And if they worked together their power will add up to L+M

[tex]L+M=w/T\\[/tex], while T is the amount of time needed when they clean together.

[tex]L+M=w/T\\w/30min + w/25min =w/T\\1/30min+1/25min=1/T, w\neq 0\\1+(6/5)=30/T\\11/5=30/T\\11T=150\\T=150/11 min\\T=13.6 min[/tex]

The graph is made and attached.

Given, the equation is x ₋ √x₊3 = 0

substitute values for x from the interval ₋1 to 5 and then graph the points.

for x = ₋1:

₋1 ₋ √₋1 ₊ 3 = 0

₋1 ₋ 1.42 = 0

₋2.42

for x = 0

0 ₋ √0₊3 = 0

₋1.74

for x=1

1 ₋ √1₊3 = 0

1 ₋ √4 = 0

1 ₋ 2 = 0

₋1

for x = 2

2 ₋ √2₊3 = 0

2 ₋ √5 = 0

2 ₋ 2.24 = 0

0.24

for x = 3

3 ₋ √3₊3 = 0

0.55

for x = 4

4 ₋ √4₊3 = 0

4 ₋ √7 = 0

1.25

for x = 5

5 ₋ √5₊3 = 0

2.17

hence we have the points (₋1,₋2.42) (0,₋1.74)(1,₋1)(2,0.24)(3,0.55)(4,1.25) and(5,2.17)

plot the above points on the graph.

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Answer:

Hope this helps

Step-by-step explanation:

full explanation in the given picture

Answer:

Step-by-step explanation:

a and b are integers

A number that can be written in the form a/b where a and b are integers. However, b cannot equal zero. Therefore a rational number

The rule for the cost function c(x) that gives the total daily cost of producing x bags of pretzels will be 1200 + 0.4x

b. The revenue function will be 1.80x.

c. The profit function p(x) is 1.4x - 1200.

It should be noted that fixed cost = 1200

Also, it costs 40 cents to produce each bag of pretzels. Therefore, the cost function will be:

= 1200 + 0.4(x)

= 1200 + 0.4x

The revenue function will be:

= Price × Quantity

= 1.80 × x

= 1.8x

c. The profit function p(x) will be:

= Revenue - Cost

= 1.8x - 1200 + 0.4x

= 1.4x - 1200

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The area is 108yd2(square yards).

In the given triangle a base

24yd and the corresponding height of 6 yds are given, so to calculate the area we can use:

A=12×b×h

If we substitute the given numbers we get:

A=[tex]\frac{1}{2}[/tex]×24×18

=12×9

=108

The units of base and height are the same (yards), so the calculated area is in yd2

The area is the quantity that expresses the extent of a region on the plane or on a curved surface. the world of a plane region or plane area refers to the area of a shape or planar lamina, while area refers to the area of an open surface or the boundary of a three-dimensional object. The area is often understood as the amount of material with a given thickness that would be necessary to fashion a model of the shape, or the quantity of paint necessary to cover the surface with a single coat. it's the two-dimensional analog of the length of a curve (a one-dimensional concept) or the volume of a solid (a three-dimensional concept).

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Step-by-step explanation:

3xy² - x²

x = 2, y = 3

well, we simply replace every variable in the expression by the actual value and calculate.

3×2×3² - 2² = 6×9 - 4 = 54 - 4 = 50

Answer: the fourth choice, or y=-3x+18

Step-by-step explanation:

using the point-slope form, we can plug in the values:

y-0= -3(x-6)

distributing the right side we get

y-0=-3x+18

putting it into y=mx+b form we get y=-3x+18

Answer:7

Step-by-step explanation: the answer is 7

Answer:

2 and 17

Step-by-step explanation:

2 x 17= 34

hope it helps

Answer:

Step-by-step explanation:

meow meow its 99

Using it's concept, the mean test score is of 4.9.

The mean of a data-set is given by the sum of all observations in the data-set divided by the number of observations.

From the frequency table, the sum of the 30 observations is given by:

0 x 3 + 1 x 2 + 2 x 6 + 3 x 1 + 4 x 1 + 5 x 3 + 6 x 2 + 7 x 4 + 8 x 4 + 9 x 2 + 10 x 2 = 146.

Hence the mean test score is given as follows:

M = 146/30 = 4.9.

The mean test score is of 4.9.

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The solution of the system of equations are x = 7 and y = 77

Given data

y = 9x + 14

y = 6x + 35

solving using substitution method to solve the simultaneous equation we have

y = 9x + 14  equation 1

y = 6x + 35  equation 2

equating the both equations will give

9x + 14  = 6x + 35

9x - 6x = 35 - 14

3x = 21

x = 7

plugging x = 7 into equation 1

y = 9x + 14

y = 9 * 7 + 14

y = 63 + 14

y = 77

The solution of the system of equations are x = 7 and y = 77

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Answer:

132 feet per second

Step-by-step explanation:

Step-by-step explanation:

Divide by 4h, d=3f-g3/4h

Using a system of equations, the solution matrix that gives the weight of a fizgig and the weight of a whatsit is:

[x y] = [5 4]

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

For this problem, the variables are given as follows:

Two fizgigs and three whatsits weigh 22 noozwhats, henec:

2x + 3y = 22.

Four fizgigs and two whatsits weigh 28 noozwhats, hence:

4x + 2y = 28.

Simplifying by 2:

2x + y = 14

y = 14 - 2x.

Replacing in the first equation:

2x + 3(14 - 2x) = 22

2x + 42 - 6x = 22

4x = 20

x = 20/4

x = 5 noozwhats.

y = 14 - 2(5) = 4 noozwhats.

Hence the solution matrix that gives the weight of a fizgig and the weight of a whatsit is:

[x y] = [5 4]

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The product of matrices A and B​ is  the elements 0 and 6 in the first row and -10 and -8 in the second row.

Given that the matrix A = 2 - 143 and B = -11-2-4.

Assume that the order of the matrix of A and B is 2x2.

The elements of matrix A are as below:a₁₁ = 2, a₁₂ = -1, a₂₁ = 4, a₂₂ = 3

The elements of matrix B are as below:b₁₁ = -1, b₁₂ = 1, b₂₁ = -2, b₂₂ = -4

We need to find the product of matrices A and B.

Let C denote the product of matrices A and B.

Then the order of the matrix C is 2x2 and its elements are calculated as follows : c₁₁ = a₁₁·b₁₁ + a₁₂·b₂₁ ⇒ c₁₁ = 2(-1) + (-1)(-2)⇒ c₁₁ = -2 + 2⇒ c₁₁ = 0 c₁₂ = a₁₁·b₁₂ + a₁₂·b₂₂⇒ c₁₂ = 2.1 + (-1)(-4)⇒ c₁₂ = 2 + 4⇒ c₁₂ = 6c₂₁ = a₂₁b₁₁ + a₂₂b₂₁⇒ c₂₁ = 4(-1) + 3(-2)⇒ c₂₁ = -4 -6⇒ c₂₁ = -10c₂₂ = a₂₁b₁₂ + a₂₂b₂₂⇒ c₂₂ = 4(1) + 3(-4)⇒ c₂₂ = 4 - 12⇒ c₂₂ = -8

Therefore the required matrix has the elements 0 and 6 in the first row and -10 and -8 in the second row.

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The matrix format was not clear from the question.So, assumptions were made to answer this question.

Interest earned by Mary is $ 3,745.92 which is more than the interest than Josh earned that is $ 3,600.

For Mary:

Principal = $ 30,000

Interest rate = 4 %

Compounded annually

t = 3 years

Amount = $ 30,000 ( 1 + 4 / 100 )³

A = 30,000 ( 1.04)³

A = 30,000 ( 1.124864 )

A = $ 33,745.92

Interest = A - P = 33,745.92 - 30,000 = $ 3745.92

For Josh:

Principal = $ 30,000

Simple interest

t = 3 years

Interest = 30,000 × 3 × 4 / 100

Interest = $ 3600

Therefore, interest earned by Mary is $ 3,745.92 which is more than the interest than Josh earned that is $ 3,600.

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The equation that represent the same salary is 55,000x+2,500x=64,000+1500x

Algebra is a branch of mathematics dealing with symbols and the rules for manipulating those symbols.

Given:

Katherine has a new job and earns salary of $55,000.  Katherine will receive a salary increase of $2,500 per year .

max has a new job and earns a salary of $64,000. Max will receive a salary increase of $1,500 per year.

So, in the case they would have the same salary for some x years the expression can be

Katherine salary along with increment= 55000+ 2500x

Max salary along with increment= 64000+ 1500x

Hence, equation ca be used to find x, the number of years it will take Katherine to earn the same salary as Max is 55,000x+2,500x=64,000+1500x.

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