What value of makes the equation 0.25(10x-3)= 1.5(x+2) - 0.75 true?

A. x = 3
B. x= 4
C. x= 3.75
D. x= 4.25

Answer:

2(3(8))+2(8)=64

Step-by-step explanation:

Here, w represents the width of the rectangle,

∵ length of the rectangle is 3 times the width of the rectangle,

So, length = 3w,

Since, the perimeter of a rectangle, P = 2(length + width)

= 2(w + 3w)

= 2w + 2(3w)

If P = 64 feet,

⇒ 2w +2(3w) = 64

⇒ 2w + 6w = 64

⇒ 8w = 64

⇒ w = 8

Verification :

P = 2(8) + 2((3(8)) = 16 + 48 = 64 feet

Hence, the first step that should be taken to verify that the width of the rectangle is 8 is 2(3(8))+2(8)=64

Note : a solution obtain from an equation is verified by substituting the value in the equation.

Answer:

im sorry this doesn't help but its not d

Step-by-step explanatio

Answer:

5 (thats alot of cookies she ate)

Step-by-step explanation:

27.5/5.5=5

The numbe of trees that are less than 12 m tall or atleast 28 m tall using from the histagram is 5

A histogram is a graph that shows the frequency of numerical data using rectangles.

In mathematics, "or" means addition.

From the question, to find the number of trees that are less than 12 m tall or atleast 28 m tall, we use the formula below.

Formula:

Where:

From the diagram,

Substitute these values into equation 1

Hence, the numbe of trees is 5.

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The value of the cos(A - B) in simplest form would be 273/100.

What are the trigonometric angles?

Trigonometry angles are the angles given by the ratios of the trigonometric functions. Trigonometry deals with the study of the relationship between angles and the sides of a triangle. The angle value ranges from 0-360 degrees. The important angles in trigonometry are 0°, 30°, 45°, 60°, 90°, 180°, 270° and 360°.

sin B = 3/5

tan A = 5/12

We have find cos(A - B)

first, let’s hope these are both all-integer triangles:

In a 3-4-5 Right triangle,

sinB = 3/5, cos B = 4/5

For tanA = 5/12 the hypotenuse turned out to be 13.

sin A = 5/12

cos A = 12/13

So now we just use the identity for cos ( A +  B )

cos(A - B) = cosAcosB + sinAsinB

                = (12/13)(4/5) + (5/12)(3/5)

                = (60 + 52/65) + (25 + 36/60)

                = (112/65) + (61/60)

                = 273/100

Hence, the value of the cos(A - B) in simplest form would be 273/100.

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Answer:

2 × 2 × 2 × 2 × 2 × 5

2 × 2 × 2 × 2 × 2 × 5 = 160

Index Form ↓

2^5 × 5

(2 to the power of 5 times 5)

Answer:

We know that the lateral area of any prism is the sum of the areas of its side faces. Thus, the lateral area of a triangular prism is the sum of the side faces, that is the three rectangular faces. The formula to find the lateral area of a triangular prism is, (a + b + c) h or Ph.

so

20×6= 120 sq in

Answer:

120 sq in.

Step-by-step explanation:

LA = ah

LA = 20 × 6

A = 120

Answer:

Step-by-step explanation:

1) 13°C add 4°C = 17°C

2) -10 °C - 20°C = 30°C

3) 15°C + 45°F = 60°C

4) 12°C- 8 = 4°C

Answer:

(2,-3), (3,-1), (4,-4), (6,-1)

In sharecropping contracts, the landlord receives a fixed share of the output, while in fixed rent contracts, the landlord receives a fixed amount. On the other hand, in sharecropping contracts, the tenant receives a fixed share of the output, whereas in fixed rent contracts, the tenant receives a fixed amount.

Sharecropping and fixed rent contracts are two different arrangements between landlords and tenants in agricultural settings. In a sharecropping contract, the landlord's compensation depends on the output of the land. Specifically, the landlord receives a fixed share or proportion of the output produced by the tenant. This means that if the tenant's effort leads to a high output, the landlord's share will be larger, and if the output is low or zero, the landlord's share will be correspondingly smaller. The tenant, in turn, receives a fixed share of the output as their compensation.

On the other hand, in a fixed rent contract, the landlord's compensation is predetermined and does not depend on the output. The landlord receives a fixed amount of rent regardless of the output produced by the tenant. This fixed amount ensures that the landlord's income remains stable and is not influenced by the variability of agricultural output. In this case, the tenant also receives a fixed amount as their compensation, which is unaffected by the output.

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Answer:

12x-2< 24

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

Hey there!

The equation is asking us, c x c = 4

What is c?

Well the only number that is equal to 4 when you square it is 2

Answer:

-13c + 3

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

5 - 4c - 2 - 9c

Step 2: Simplify

Answer:

-13c + 3

Step-by-step explanation:

The given function has a restricted domain, a y-intercept at (0, -2), a horizontal asymptote at y = 0, vertical asymptotes at two specific x-values, and intervals of increase and decrease determined by critical points.

The function is defined for all real numbers except where the denominator becomes zero. So, we need to find the values of x that make the denominator (1 + 5x - 2x²) equal to zero.

1 + 5x - 2x² = 0

Rearranging the equation: 2x² - 5x - 1 = 0

Solving the quadratic equation, we find the roots using the quadratic formula:

x = (-(-5) ± √((-5)² - 4(2)(-1))) / (2(2))

Simplifying:

x = (5 ± √(25 + 8)) / 4

x = (5 ± √33) / 4

Therefore, the domain of the function is all real numbers except (5 + √33) / 4 and (5 - √33) / 4.

To find the y-intercept, we substitute x = 0 into the function:

f(0) = (0 - 2) / (1 + 5(0) - 2(0)²)

f(0) = -2 / 1 = -2

So, the y-intercept is (0, -2).

Horizontal and Vertical Asymptotes

To determine the horizontal and vertical asymptotes, we observe the behavior of the function as x approaches positive and negative infinity.

For the horizontal asymptote, we compare the degrees of the numerator and denominator. Since the degree of the numerator is less than the degree of the denominator, the horizontal asymptote is y = 0.

To find the vertical asymptotes, we set the denominator equal to zero and solve for x:

1 + 5x - 2x² = 0

This equation was solved in Step 1, and the roots are (5 + √33) / 4 and (5 - √33) / 4. So, the vertical asymptotes are x = (5 + √33) / 4 and x = (5 - √33) / 4.

Interval of Increase or Decrease

To determine the intervals of increase or decrease, we need to find the critical points of the function. These occur where the derivative is zero or undefined.

First, let's find the derivative of f(x):

f(x) = (x - 2) / (1 + 5x - 2x²)

f'(x) = [1(1 + 5x - 2x²) - (x - 2)(5 - 4x)] / (1 + 5x - 2x²)²

Setting f'(x) = 0, we have:

[1(1 + 5x - 2x²) - (x - 2)(5 - 4x)] / (1 + 5x - 2x²)² = 0

Simplifying and solving for x, we find the critical point(s).

Local Maximum and Minimum

To find local maximum and minimum points, we analyze the sign changes around the critical points. We evaluate the function at the critical points and the endpoints of the domain.

Intervals of Concavity and Inflection Point(s)

To determine the intervals of concavity

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The complete question is:

For the given function f(x)=

x−2

1+5x−2x

2

Find the following: - domain - y-intercept - horizontal and vertical asymptotes - interval of increase or decrease - local maximum and minimum if any - intervals of concavity and inflection point(s) Use the information above the sketch the graph Domain: x-intercept: y-intercept: HA VA SA: INC DEC Local max. Local min. CU CD IP

Answer:

Monday:

Cups of Sugar: 3

Tablespoon of Butter: 30

No. of Bananas: 75

Wednesday

Cups of Sugar: 1.12

Tablespoons of Butter: 11.2

No. of Bananas: 28

13/4 is the value of  \(4\frac{1}{2} -(2\frac{1}{2}-1 \frac{1}{4})\)

A fraction represents a part of a whole.

The given expression is \(4\frac{1}{2} -(2\frac{1}{2}-1 \frac{1}{4})\)

Convert each mixed fraction to improper fraction

9/2-(5/2-5/4)

9/2-(10-5/4)

9/2-5/4

LCM of 4 and 2 is 4

18-5/4

13/4

Hence, 13/4 is the value of  \(4\frac{1}{2} -(2\frac{1}{2}-1 \frac{1}{4})\)

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32 hours do the lifeguard need to work in one week to earn the same amount of money.

To determine the number of hours the lifeguard needs to work in one week to earn the same amount of money, we can set up an equation based on the given information.

Let's denote the number of hours the lifeguard needs to work as "h."

For the lifeguard at the community pool:

Hourly wage = $9.50

Weekly earnings = Hourly wage * Number of hours worked = $9.50 * h = 9.50h

For the lifeguard at the county club:

Hourly wage = $8.25

Weekly earnings = Hourly wage * Number of hours worked + Weekly bonus = $8.25 * h + $40 = 8.25h + 40

We want to find the number of hours (h) that makes the weekly earnings equal for both lifeguards.

So we set up the equation:

9.50h = 8.25h + 40

To solve this equation, we can subtract 8.25h from both sides:

9.50h - 8.25h = 8.25h - 8.25h + 40

1.25h = 40

Dividing both sides by 1.25, we get:

h = 40 / 1.25

h = 32

Therefore, the lifeguard needs to work 32 hours in one week to earn the same amount of money as the lifeguard at the county club with the weekly bonus.

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Answer: 17.28

Step-by-step explanation:

\(2.7 = 2.0 + 0.7\\ 6.4 = 6.0 + 0.4\)

Substituted

\(2.7 x 6.4 = (2.0 + 0.7) x (6.0 +0.4) 2.7 x 6.4 = 2.0(6.0) + 2(0.4) + 0.7(6) + 0.7(0.4) 2.7 x 6.4 = 12 + 0.8 + 4.2 + 0.28 2.7 x 6.4 = 17.28\)

the product of 2.7 x 6.4 using partial products is 17.28

Answer:

8

Step-by-step explanation:

We can find GCF by prime factorising

24 = 2³ × 3

32 = 2⁵

Common factor = 2³ = 8

Hence,

GCF of 24 and 32 is 8.

Hope it helps

Answer:

from the lines i you can see that these triangles are the same so that means the other angle is 74 so since we know that the angles of a triangle always add up to 180

5x+3x+2+74=180

simlify

8x+76=180

-76

8x=104

divide by 8

x=13

Hope This Helps!!!

When we create a regression model for predicting the weight of a motorcycle from its length, is the slope most likely to be 80.

A regression model provides a function that describes the relationship between one or more independent variables and a response, dependent, or target variable.

For example, the relationship between height and weight may be described by a linear regression model.

Regression is a method to determine the statistical relationship between a dependent variable and one or more independent variables. The change independent variable is associated with the change in the independent variables. This can be broadly classified into two major types.

1- Linear Regression

2- Logistic Regression

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There are 96 possible combinations of Kids' Lunches at Burger Universe.

The number of possible Kids' Lunches at Burger Universe can be calculated by multiplying the number of choices for each option together. Let's break it down step by step:

1. Size: There are two options - Small and Large.
2. Cheese: There are two options - With Cheese and Without Cheese.
3. Type of Bun: There are three options - Plain Bun, Sesame Seed Bun, and Wheat Bun.
4. Side Order: There are four options - Fries, Onion Rings, Fruit Cup, and Cheese Sticks.
5. Fruit Drink: There are two options - Orange and Grape.

To calculate the total number of possible combinations, we multiply the number of choices for each option together:

2 (Size) x 2 (Cheese) x 3 (Bun) x 4 (Side Order) x 2 (Fruit Drink) = 96

Therefore, there are 96 possible combinations of Kids' Lunches at Burger Universe.

Complete question: When ordering the Kids' Lunch at Burger Universe, the customer must choose a size, whether or not to have cheese, a type of bun, a side order, and a type of fruit drink.

Here are the possibilities for each choice.

Choice Possibilites

Size Small, Large

Cheese? With Cheese, Without Cheese

Type of Bun Plain Bun, Sesame Seed Bun, Wheat Bun

Side Order Fries, Onion Rings, Fruit Cup, Cheese Sticks

Fruit Drink Orange, Grape

How many Kids' Lunches are possible?

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(a) Using the given formula, N = 6E(Y1) - 1 is derived. (b) Using (1) and the derived formula in part (a), E(Y5) = 5E(Y1) is obtained, and using both (a) and (b), Nˆ = 6Y5 - 1 is shown to be an unbiased estimator of N.

(a) Using the given formula and taking expectations, we get:

N = E(Y1) + E(Y2 - Y1) + E(Y3 - Y2) + E(Y4 - Y3) + E(Y5 - Y4) + E(N - Y5 + 1) - 1

Substituting E(Yi - Yi-1) = N - E(Y5) + 1, we get:

N = 6E(Y1) - E(Y5) - 1

Using (1), we can substitute E(Y5) = N - E(Y1) + 1, and we get:

N = 6E(Y1) - (N - E(Y1) + 1) - 1

Simplifying, we get:

N = 6E(Y1) - 6

Therefore, Nˆ = 6Y5 - 1 is an unbiased estimator of N.

(b) From (1), we know that:

E(Y5 - Y4) = N - E(Y5) + 1

Substituting E(Y4 - Y3) = N - E(Y5) + 1, and so on, we get:

E(Y5) = N - E(Y5) + 1 + N - E(Y5 - Y4) + 1 + N - E(Y4 - Y3) + 1 + N - E(Y3 - Y2) + 1 + N - E(Y2 - Y1) + 1

Simplifying, we get:

E(Y5) = 5N - (E(Y1) + E(Y2 - Y1) + E(Y3 - Y2) + E(Y4 - Y3) + E(Y5 - Y4))

Substituting E(Yi - Yi-1) = N - E(Y5) + 1, we get:

E(Y5) = 5N - (E(Y1) + 4(N - E(Y5) + 1))

Simplifying and rearranging, we get:

E(Y5) = 5E(Y1)

(c) Substituting the result from (b) into the estimator Nˆ = 6Y5 - 1, we get:

Nˆ = 30E(Y1) - 1

Since E(Y1) is an unbiased estimator of N, Nˆ is also an unbiased estimator of N.

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Answer:

-12/6 or -2

Step-by-step explanation:

Answer:

-2

Step-by-step explanation:

Gradient = slop

(-3,6)

(3,-6)

\(gradient \: = \frac{difference \: of \: y \: }{difference \: of \: x} \)

\(gradient \: = \frac{6 - ( - 6)}{ - 3 - 3} \)

= 12/-6

= - 2

Answer:

Find two points on the line and write them out: (x1,y1) (x2,y2)

Use this formula: y2-y1/x2-x1

The answer you get is the slope which is "m" in y=mx+b

Now in y=mx+b plug in one point's y into y and x into x. 

Find b

Answer:

Use points from the graph to create a table of data points. Then find a rule for the data in the table and write an equation that represents that rule. Lastly, check that the equation holds true for other data points in the table or graph.

Step-by-step explanation:

There are 2 different bad arrangements possible.

We see that there are 5! absolute ways of orchestrating the numbers. Nonetheless, we can constantly turn these numbers so that, for instance, the number 1 is dependably at the highest point of the circle. Consequently, there are just 4! ways under turn, which is easy to drill down. We methodically list out every one of the 24 cases.

Presently, we should inspect assuming they fulfill the circumstances. We can see that by selecting each number, in turn, we can continuously acquire subsets with aggregates 1, 2, 3, 4, and 5. By picking the round trip, we can get 15. By selecting everything aside from 1, 2, 3, 4, and 5, we can get subsets with amounts of 10, 11, 12, 13, and 14.

This implies that we presently just have to check for 6, 7, 8, and 9. Be that as it may, whenever we have found a set adding to 6, we can pick all the other things and get a set adding to 9, and comparably for 7 and 8. Hence, we just have to check each case for whether we can acquire 6 or 7.

We observe that there are just 4 arrangements that fulfill these circumstances. In any case, each of these is an impression of another. We divide by 2 for these reflections to get the final answer of B = 2.

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answer:

choose A

choose B

Answer:

Step-by-step explanation:

1/5 units

2/5 units

2 units

10 units

Answer:

10units

Step-by-step explanation:

Answer:

320

Step-by-step explanation:

joe has 80 three times eighty is 240 so they have 240+80=320 so they have 320 games in total