Here is an equation: 2x+4 y-31=123
1. Solve for x.
x=
2. Solve for y.
y=

Answer: D

Step-by-step explanation:

2x-36=0                                                

+36     +36

___________

2x=36

x=18

Even if one equation, -18 was not solved, you can easily cross out the ones without 18 and get the answer.

So, each farmer pays the following amounts: The first farmer pays 738.40 euros. The second farmer pays 443.04 euros. The third farmer pays 418.56 euros

Proportion refers to the equality of two ratios. In other words, when two ratios are set equal to each other, they form a proportion. A proportion is typically written in the form of two fractions separated by an equals sign, such as a/b = c/d. Proportions are commonly used in mathematics to solve problems involving ratios and proportions, such as finding missing values or scaling up or down a given quantity.

Here,

To find out how much each farmer pays, we need to determine the proportion of the total rent that each farmer owes based on the number of sheep they have. First, we need to find the total number of sheep:

120 + 72 + 68 = 260

The first farmer has 120 sheep, which is 46.15% of the total number of sheep (120/260). Therefore, the first farmer owes 46.15% of the rent:

0.4615 x 1600 = 738.40 euros

Similarly, the second farmer has 72 sheep, which is 27.69% of the total number of sheep (72/260). Therefore, the second farmer owes 27.69% of the rent:

0.2769 x 1600 = 443.04 euros

The third farmer has 68 sheep, which is 26.15% of the total number of sheep (68/260). Therefore, the third farmer owes 26.15% of the rent:

0.2615 x 1600 = 418.56 euros

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Complete question:

The rent of 1600 euros for a piece of land is divided among three farmers who graze their sheep there. As they do not have the same number of sheep, they decide to pay proportionally according to the number of sheep each has. If the first one has 120 sheep, the second 72, and the third 68. How much does each one pay?

9514 1404 393

Answer:

  B.  (-∞, 1) ∪ (1, 2]

Step-by-step explanation:

When you are looking for answers to domain questions, you are looking for values of the variable(s) that make the function undefined. Here, there is a square root involved, and the rational function has a denominator that might be zero.

The function is only defined for square roots of non-negative numbers. That is ...

  2-x ≥ 0   ⇒   x ≤ 2

The rational function is only defined for non-zero denominators, so ...

  x-1 ≠ 0

  x ≠ 1

__

So, you're looking for a domain description that includes all numbers less than or equal to 2, and excludes x=1. The attached number line shows a graph of this.

The domain divides into two parts: all numbers less than 1, and those numbers between 1 and 2 (including 2). This will be the union ...

  (-∞, 1) ∪ (1, 2]

Answer:

n=6

Step-by-step explanation:

n!/(n-2)! = 30

n(n-1) = 30

n^2 - n = 30

n^2 - n - 30 = 0

(n-6)(n+5) = 0

n=6

The biscuits should be placed 2.54 centimeters apart on the baking tray.

The unitary method is a way for solving a problem by the first value of a single unit and than finding the value by multiplying the single unit. Unitary method is a technique by which we can find the value of a single value from the value of more than one devices and the value of more than one unit from the value of a single unit. We can this method use for most of the calculations in math.

We are given that;

Elana must roll the dough into 7 inch rounds.

a) To convert this measurement to centimeters, we can use the conversion factor 1 inch = 2.54 centimeters. Therefore, 7 inches is equal to:

7 inches x 2.54 centimeters/inch = 17.78 centimeters

So, Elana must roll the dough into 17.78 centimeter rounds.

b) To rewrite all the ingredients using grams or milliliters, we need to know the density of each ingredient. Assuming that the density of each ingredient is the same as that of all-purpose flour (which is approximately 125 grams per cup), we can convert the measurements as follows:

1 cup flour = 125 grams flour

1/2 cup sugar = 100 grams sugar

2 teaspoons baking powder = 10 grams baking powder

1 teaspoon salt = 5 grams salt

1/2 cup cream = 120 milliliters cream (assuming a density of 1 gram per milliliter)

So, the rewritten ingredients are:

125 grams flour

100 grams sugar

10 grams baking powder

5 grams salt

120 milliliters cream

c) The recipe states that the oven should be preheated to 350 °F. To convert this temperature to Celsius, we can use the formula:

Celsius = (Fahrenheit - 32) x 5/9

So, the temperature in Celsius is:

Celsius = (350 - 32) x 5/9 = 176.67 °C

Therefore, Elana should heat the oven to 176.67 °C.

d) The recipe states that the biscuits should be placed on the baking tray 1 inch apart. To convert this measurement to centimeters, we can use the conversion factor 1 inch = 2.54 centimeters. Therefore, the biscuits should be placed on the baking tray:

1 inch x 2.54 centimeters/inch = 2.54 centimeters

Therefore, by unitary method answer will be 2.54 centimeters.

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Answer:

C:

1/64

Step-by-step explanation:

Answer:

If the vertical line intersects the graph in at most one point, then the given graph represents a function. If the vertical line intersects the graph in more than one point, then the given graph does not represent a function.

I HOPE IT HELPS

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Step-by-step explanation:

Answer:

Step-by-step explanation:

For a graph to be a function, there must not be more than one element in the range for each element of the domain.

If x represents the doman, and y represents the range (as usual, in graphing) then each value on the the x-axis should not have more than one point in the graph on it, directly above it, or directly below it. Like if you had a point (5, 7) and also had point (5, -7), that is not a function. The x, 5, has more than one y-value  paired with it.

Visually, any vertical line through the graph should not intersect the graph at more than one point. If it does, then the graph is not a function.

This is called the vertical line test.

I have attached a graphic.

According to the information, this number on an abacus would look like this: tens of a thousand = 10,000, units of a thousand = 6,000, hundreds = 500, tens = 10, and units = 6.

To illustrate this value on an abacus we must find the number of this operation as shown below:

Now we must express it in an abacus, then we must separate each number by classifying it in the type of units to which it corresponds as shown below:

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The lowest common denominator of 3/8 and 3/5 is 40.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

3/8 and 3/5

LCD means the lowest common denominator.

So,

8 x 5 = 40

5 x 8 = 40

Thus,

The lowest common denominator of 3/8 and 3/5 is 40.

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Step-by-step explanation:

21x²-2x +1/2 = 0

x² - 2x ×21 + 1/2× 21 = 0

Answer: the numbers are 6 and 4.

Step-by-step explanation: 6 times 4 equals 24

6 plus 4 equals 10

Answer:

i don't understand sorry

Step-by-step explanation:

Answer:its b im. in fifth grade and I know it Are you at d$mb

Step-by-step explanation:

Answer: 217 women should be sampled to attain an estimate with 95% confidence.

Step-by-step explanation:

Let s be the prior population standard deviation.

Formula to find the sample size: \(n=(\dfrac{z^*\times s}{E})^2\), E=Margin of error

Given: s= 3

E= 0.4

Critical zvalue for 95% = 1.96

So, \(n=(\dfrac{1.96\times3}{0.4})^2\)

\(=216.09\approx217\)

Hence, 217 women should be sampled to attain an estimate with 95% confidence.

9514 1404 393

Answer:

  7317192329

Step-by-step explanation:

The first 10 primes are ...

  2, 3, 5, 7, 11, 13, 17, 19, 23, 29

The number of interest will keep getting larger as long as the first (or next needed) digit keeps getting larger. That is, we want to delete any digit that is not greater than the one previous. Following this rule until we have deleted 6 digits, we find the largest number to be ...

  7317192329

_____

The digits deleted are those in bold in the list of primes.

Answer:

Step-by-step explanation:

hope it helps

Answer:

C: 70 Mins

Step-by-step explanation:

1, 20ft*15ft=300ft^2

2, 30ft*25ft=750ft^2

3, 750ft-350ft=450ft^2

4, 450 ft^2 = 30 mins

5, 350ft=750ft=1050ft^2

6, 1050/450=2.3333

7, 30*2.3333=70

8, 70 mins

At the same rate per square foot , Bert will take 80 minutes to mow the both lawns.

Rate is the ratio between two related quantities in different units.

Area of the rectangular lawn = lw

where

area of the lawn1  = 30 × 25 = 750 ft²

area of the lawn2 = 20 × 15 = 300 ft²

Therefore,

He mow the firts lawn 30 minutes longer than the second lawn. Therefore,

let

x = time to mow the second lawn

x + 30 = time to mow the first lawn

rate for the first lawn = 30 + x / 750

rate for the second lawn = x / 300

Hence,

30 + x / 750 = x / 300

cross multiply

9000 + 300x = 750x

9000 = 750x - 300x

9000 =  450x

x = 9000 / 450

x = 20

it will take him 30 + 20 + 20 = 80 minutes to mow the both lawns.

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Step-by-step explanation:

as I don't see any equations or graphs here I can only answer in general :

f(x) is the patent function.

g(x) is the transformed function.

g(x) = -6f(x-7)

the "-" reflects the curve over the x-axis (what was positive is now negative and vice versa).

the factor 6 stretches the curve up and down by the factor 6 (everything is now 6 times larger or smaller).

and the argument "x-7" relates x (for the new function) with "x-7", meaning that now things are happening at x, that were originally happening at x-7, so they happen now "later" (more to the right on the x-axis) than before - hence a shift to the right.

Answer:

its D

Step-by-step explanation:

took the test :)

The probability that a discrete random variable X takes on a particular value x is equal to the probability mass function (PMF) of X evaluated at x. The PMF of a discrete random variable X is defined as the derivative of its cumulative distribution function (CDF) with respect to x.

Given the CDF for X as F(x), the PMF for X is denoted as f(x) and can be computed as follows:

f(x) = F'(x) = dF(x)/dx

In this case, the CDF for X is given as:

F(0) = 0

F(1) = .15

F(2) = .45

F(3) = .55

F(4) = .85

F(5) = 1

To find the probability that x = 3, we need to compute the PMF of X at x = 3. Using the formula above, we have:

f(3) = F'(3) = dF(3)/dx

Since the CDF for X is a discrete function, we can compute the derivative by taking the difference between the values of the CDF at x = 3 and x = 2:

f(3) = F(3) - F(2) = .55 - .45 = .1

Therefore, the probability that x = 3 is .1.

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The probability she pulls out a purple piece of candy would be 0.22.

In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.

Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.

Given is Sam's fathers collection.

We can write the equations for upstream and downstream as -

x - y = 7/2

x + y = 21/10

Solving the equations graphically -

{x} = 2.8

{y} = 0.7
In still water, the speed would be -

S = 3 - 0.7

S = 2.3 Km/h

Distance peddled upstream -

D = 2.8 x 3.5 = 9.8 Km

Therefore, the speed in still water would be 2.3 Km/h and the distance peddled upstream would be 9.8 Km.

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a) The distance from point P to the pole  is: 6.2 m

b) The height of the Pole is: 6.2 m

The triangle attached shows us the triangle formed as a result of the given word problem about angle of elevation and distance and height.

Now, we are given that:

The angle of elevation of the top of the pole =  45°

Angle of elevation of the top of the pole = 58°.

|PQ|= 10m

a) PR is distance from point P to the pole and using trigonometric ratios, gives us:

PR/sin 58 = 10/sin(180 - 58 - 45)

PR/sin 58 = 10/sin 77

PR = (10 * sin 58)/sin 77

PR = 8.7 m

b) P O can be calculated with trigonometric ratios as:

P O = PR * cos 45

P O = 8.7 * 0.7071

P O = 6.2 m

Now, the two sides of the isosceles triangle formed are equal and as such:

R O = P O

Thus, height of pole R O = 6.2 m

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Answer: here’s the answer!

Step-by-step explanation: hope this helps!

Answer:

x=10

Step-by-step explanation:

3(x-2)+4=28

3x-6+4=28

3x-2=28

3x=30

x=10

Answer:

x = -5

Step-by-step explanation:

-7x + 4 = 39

-7x (+ 4 - 4) = 39 - 4

-7x = 35

-7x/-7 = 35/-7

x = -5

Answer:

Below

Step-by-step explanation:

Population: 10,000

Sample: 250

Answer:

A and C

Step-by-step explanation:

i chose these bc they arwe the 2 reasonable ones

The property you are referring to is called the associative property of multiplication. According to this property, when multiplying three numbers, the grouping of the numbers does not affect the result. In other words, you can change the grouping of the factors without changing the product.

In the equation you provided: 3x(5x7) = (3x5)7

The associative property allows us to group the factors in different ways without changing the result. So, whether we multiply 5 and 7 first, or multiply 3 and 5 first, the final product will be the same.

Given

l = 9 in

b = 5 in

h = 12 in

Find

Surface area of the prism

Explanation

surface area of the given prism =

Final Answer

Therefore , the surface area of the prism = 426 in ssqaured

Answer:

29.4°

Step-by-step explanation:

The equation can be rearranged to give C directly.

 C = arccos((a^2 +b^2 -c^2)/(2ab))

 C = arccos((90^2 +55^2 -50^2)/(2·90·55))

 C = arccos(8625/9900) ≈ 29.4002°

 C ≈ 29.4°

The measure of angle C is approximately 29.46 degrees.

To find the measure of angle C (cos(C)) using the given values a = 55, b = 90, and c = 50, we can use the Cosine Rule formula:

cos(C) = (a² + b² - c²) / (2 * a * b)

Substitute the given values:

cos(C) = (55² + 90² - 50²) / (2 * 55 * 90)

Now, calculate the numerator:

cos(C) = (3025 + 8100 - 2500) / (2 * 55 * 90)

cos(C) = 8625 / 9900

Now, divide to get the final value of cos(C):

cos(C) ≈ 0.8707

To find the measure of angle C itself, we can take the inverse cosine (arccos) of this value:

C ≈ arccos(0.8707)

Using a calculator, you'll find:

C ≈ 29.46 degrees (rounded to two decimal places)

So, the measure of angle C is approximately 29.46 degrees.

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Answer:

D

Step-by-step explanation: