13x + 5 + 17x -4.5 + x

In the proportion (5x + 1):3 = (2x + 2):7, the value of x is -1/29.

In the proportion (6x):(4x) = 7, there is no value of x that satisfies the proportion.

To find the value of x in the given proportions, let's solve them one by one:

(5x + 1) : 3 = (2x + 2) : 7

To solve this proportion, we can cross-multiply:

7(5x + 1) = 3(2x + 2)

35x + 7 = 6x + 6

Subtracting 6x from both sides and subtracting 7 from both sides:

35x - 6x = 6 - 7

29x = -1

Dividing both sides by 29:

x = -1/29

Therefore, the value of x in the first proportion is -1/29.

(6x) : (4x) = 7

To solve this proportion, we can simplify the left side:

6x / 4x = 7

Dividing both sides by 2x:

3/2 = 7

This equation is not true, as 3/2 is not equal to 7.

Therefore, there is no value of x that satisfies the second proportion.

In summary, the value of x in the proportion (5x + 1) : 3 = (2x + 2) : 7 is -1/29, and there is no value of x that satisfies the proportion (6x) : (4x) = 7.

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The general equation of the line is,

Given:

Substitute the values of m and b into the equation, in order to obtain the equation.

Let us solve for the x-intercept and y-intercept in order to plot the graph of the line.

X-intercept

The x-intercept is the value of the x coordinate of a point where the value of y-coordinate is equal to zero.

Y-intercept

The point where a line or curve crosses the y-axis of a graph. In other words: find the y-value when x equals 0.

Hence, the points to plot the graph are (40 , 0) and (0 , 8).

Let us now plot the graph

a) We kindly invite to check the image attached below to see a detailed graph of the piecewise function.

b) The piecewise function is continuous.

A piecewise function is a conditional combination of two or more functions, whose expression depends on which value of the domain is the function evaluated at.

a) The piecewise function described in the question is plotted on a graphing tool (i.e. Desmos), whose result is presented in the image attached below.

b) A function is continuous if and only if there is one value from range for every value of domain. The piecewise function is continuous as linear functions are continuous and the two functions of the conditional combination have the same value for x = 30.

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Answer:

C. How tightly the molecules in a glass of water are packed together

Step-by-step explanation:

Volume of a substance is different according to the state of the matter.

So for a water molecule, the volume of the the water is definite and can be measured by the container which is the glass cup

So volume can be the measure of how tight the molecule of that substance ate together.

The perimeter of the polygon, with the specified coordinate points , found using Pythagorean Theorem  iis  approximately 16 units

The Pythagorean Theorem indicates that the square of the distance between points on the coordinate plans is the sum of the square of the horizontal and vertical distances between the  point.

The coordinates of the vertices of the polygon are;

(-3, 1), (-3, 3), (-1, 5), (2, 4), and (2, 1)

The length of the sides are therefore;

3 - 1 = 2,

√((-1 - (-3))² + (5 - 3)²) = 2·√2

√((2 - (-1))² + (4 - 5)²) = √(10)

4 - 1 = 3

2 - (-3) = 5

The perimeter is therefore;

2 + 2·√2 +  √(10) + 3 + 5  ≈ 16

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Answer:

im pretty sure it is 2m + 10

bc the min is going up by 2 every time and the gallons are going up by 10 each time

Step-by-step explanation

i commented b4 i actually answered it bc it wouldnt let me sry

a. The graph represents a proportional relationship.

b. The graph does not represent a proportional relationship.

c. The graph does not represent a proportional relationship.

d. The graph represents a proportional relationship.

A proportional relationship is a relationship in which a constant ratio between the output variable and the input variable exists.

The equation that defines the proportional relationship is a linear function with slope k and intercept zero presented as follows:

y = kx.

Hence graphs a and d represent proportional relationship, as they have intercepts at the origin.

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Step-by-step explanation:

3.5 inches will be the answer

The values of the terms of the power of a binomial by binomial theorem are, respectively:

Herein we find two cases of power of a binomial, from each we must determine the expression of a given term. This can be done by binomial theorem, where the definition of k-th term of the expression is:

y = (a + b)ⁿ, where n is a natural number. The expanded form of the power binomial has n + 1 terms.

\(C(k) = \frac{n!}{k!\cdot (n - k)!} \cdot a^{n - k}\cdot b^{k}\), for k = {0, 1, 2, ..., n - 1, n}

Where:

Case 1: (a = x, b = - y, n = 8, k = 8)

C(8) = [8! / (8! · 0!)] · x⁰ · (- y)⁸

C(8) = y⁸

Case 2: (a = x, b = - 6 · y, k = 2, n = 10)

C(2) = [10! / (2! · 8!)] · x⁸ · (- 6 · y)²

C(2) = [(10 · 9) / 2] · x⁸ · 36 · y²

C(2) = 1620 · x⁸ · y²

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Therefore, if 24 teaspoons of vegetable oil were used, we would need 16 teaspoons of vinegar to make the recipe correctly.

According to a salad recipe, each serving requires 6 teaspoons of vegetable oil and 9 teaspoons of vinegar. If 24 teaspoons of vegetable oil were used, we can determine the amount of vinegar needed for the recipe to be correct as follows:

First, we must determine the ratio of vinegar to oil in the recipe. To do this, we divide the amount of vinegar needed per serving (9 teaspoons) by the amount of oil needed per serving (6 teaspoons):

9 ÷ 6 = 1.5

This means that for every 1.5 teaspoons of oil used, we need 1 teaspoon of vinegar. Next, we use this ratio to determine the amount of vinegar needed when 24 teaspoons of oil are used:

1.5 ÷ 1 = 1.5

(teaspoons of oil per 1 teaspoon of vinegar)

24 ÷ 1.5 = 16

(teaspoons of vinegar needed)

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You need to multiply by 5 instead of 6 because each pair of opposite faces on a cuboid has the same area, so by considering one face from each pair, you ensure that you don't count any face twice.

When calculating the total surface area of a cuboid, you need to understand the concept of face pairs.

A cuboid has six faces, but each face has a pair that is identical in size and shape.

Let's break down the reasoning behind multiplying by 5 instead of 6 in the given scenario.

To find the surface area of a cuboid, you can add up the areas of all its faces.

However, each pair of opposite faces has the same area, so you avoid double-counting by only considering one face from each pair. In this case, you have five pairs of faces:

(1) top and bottom, (2) front and back, (3) left and right, (4) left and back, and (5) right and front.

By multiplying the average area of a pair of faces by 5, you account for all the distinct face pairs.

Essentially, you are considering one face from each pair and then summing their areas.

Since all the pairs have the same area, multiplying the average area by 5 gives you the total surface area.

When dividing 150 by 4 (to find the average area of a pair of faces), you are essentially finding the area of a single face.

Then, by multiplying this average area by 5, you ensure that you account for all five pairs of faces, providing the total surface area of the cuboid.

Thus, multiplying by 5 is necessary to correctly calculate the total surface area of the cuboid by accounting for the face pairs while avoiding double-counting.

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Answer:

B)Gift shop

pls mark me as BRAINLIEST

hope the answer helped you

Answer: x=3\(\sqrt{2\). y=3\(\sqrt{2\)

Step-by-step explanation: This is a 45-45-90 triangle. Both of the legs, x and y, are congruent. To find the length of the legs, divide 6, the hypotenuse, by \(\sqrt{2\). 6/\(\sqrt{2\)=3\(\sqrt{2\).

The length of the guy wire to the nearest foot would be = 10 ft.

The relationship between the tower, guy wire and pole forms the shape of a right angle triangle.

The distance from the stake to the pole (opposite) =a = 5 ft

The distance from the pole to the tower (adjacent) =b= 9ft

The length of the guy wire= c = X

Using the Pythagorean formula:

c² = a² + b²

c² = 5² + 9²

c² = 25+81

c² = 106

C = √106

C= 10 ft ( to the nearest foot)

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Complete question:

A guy wire runs from the top of a cell tower to a metal stake in the ground. Sophie places a 7 ft tall pole to support the guy wire. After placing the pole, Sophie measures the distance from the stake to the pole to be 5 ft. She then measures the distance from the pole to the tower to be 9 ft. Find the length of the guy wire, to the nearest foot.

The hospital can get 4.15 milligrams from these three companies.

A linear equation is one in which the highest power of any variable is not more than 1. A linear equation in 2 variables can be solved by substitution method, if we have two simultaneous equations.

Here, we know that

Company A's supply of medicine = 1.7 mg

also, company A's supply = 2( B's supply - C's supply)

⇒ 1.7 = 2( B - C)

⇒ 1.7 = 2B - 2C .... (1)

Moreover, we are given that

A's supply = C's supply + 0.9

⇒ 1.7 = C + 0.9

⇒ 1.7 - 0.9 = C

⇒ 0.8 = C

Now, substituting the value of C in (1), we get,

1.7 = 2B - 2(0.8)

1.7 = 2B - 1.6

1.7 + 1.6 = 2B

⇒ B = 3.3/2

B = 1.65

Thus, the total supply from all three companies is (1.7 + 1.65 + 0.8) = 4.15 mg

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The critical value for a confidence level of 98% with a sample size of 32 is given as follows:

t = 2.4528.

The t-distribution is used when the standard deviation for the population is not known, and the bounds of the confidence interval are given according to the equation presented as follows:

\(\overline{x} \pm t\frac{s}{\sqrt{n}}\)

The variables of the equation are listed as follows:

The critical value, using a t-distribution calculator, for a two-tailed 98% confidence interval, with 32 - 1 = 31 df, is t = 2.4528.

(df is one less than the sample size).

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This is the required equation using sine that describes the graph f(x) = 2sin(2x) + 1.

What is the sine equation?

The sine of one of the angles of a right triangle (often abbreviated “sin”) is the ratio of the length of the side of the triangle opposite the angle to the length of the triangle's hypotenuse.

Generally, the sine curve takes the value -1 to 1 in 0 to 2π.
From the given graph,
the curve takes values -3, 1 in 0 to π
i.e. amplitude 2,
so we can take sin(2x) then the range becomes 0 to π.
upward by 1 unit.
So it becomes f(x) = 2sin(2x) + 1
This is the required curve & it also satisfies the points (0, 1), (π/4, 3), (π/2, 1), (3π/4, -1), ((π, 1).

Hence, this is the required equation using sine that describes the graph f(x) = 2sin(2x) + 1.

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The two fractions that will give a sum between 0.75 and 1 are 3/7 + 5/9 and the larger fraction is 5/9

We want to find two fractions using the digits 3, 5, 7 and 9 to find the one that gives a sum between 0.75 and 1.

Since it has to be a sum between 0.75 and 1, it means that the denominator must be greater than the numerator. Thus, let us try as follows;

3/5 + 7/9

Factorize out 45 to get;

¹/₄₅((3 * 9) + (7 *5))

= ¹/₄₅(27 + 35)

= ¹/₄₅(52)

This will not work because it will lead to a sum greater than 1

Let us try another one;

3/7 + 5/9

Factorize out 63 to get;

¹/₆₃((3 * 9) + (5 *7))

= ¹/₆₃(27 + 35)

= 52/63

= 0.8254

Thus, the two fractions that will give a sum between 0.75 and 1 are 3/7 + 5/9 and the larger fraction is 5/9

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Answer:

Step-by-step explanation:

Therefore, the volume of the water in the tank 25 minutes after Baxter begins filling the tank is 255 gallons.

Step-by-step explanation:

Linear Equation; Ax+By=C

A linear equation to model this situation:

8x + 55 = C

Where;

8 is for the rate of gallons.

'X' is the minutes.

55 is the gallons of water the tank already contained.

8(25) + 55 = 255

Where;

8 is for the rate of gallons.

25 is the minutes.

55 is the gallons of water the tank already contained.

Let x be the charge before taxes of the first city and y the charge before taxes of the second city. We will translate each of the given facts about this two quantities into equations that will help us to find the values of x and y.

The first given fact is "The hotel charge before tax in the second city was 1500 higher than in the first one". This means that if we add 1500 to the charge of the first city, we would get the second city's charge. This leads to the equation

We are given the tax rate of each city and that the total amount paid of hotel tax was 665. This means that if we calculate the tax amount for each city and then add this quantities, we should get 665.

Since the tax rate of the first city is 7% (or 7/100) we can calculate the tax of the first city by multiplying x and 7/100. So the tax of the first city would be

as the tax rate of the second city is 4%, following the same procedure we have that the tax amount of the second city is

Then, adding this amounts together, we get

If we multiply each side by 100, we get

Using the first equation to replace the value of y in terms of x, we get

If we operate on the left side, we get

So we have the equation

Now, we subtract 6000 from both sides, so we get

Finally, we divide by 11 on both sides, so we get

Now, we replace this value in the first equation, so we have

So the charge before tax in the first city was 5500 and 7000 in the second one.

Answer:

20x + 8

Step-by-step explanation:

5*4x + 5*5 -17

20x +25 -17

20x + 8

Answer: The musical group sold  60%of the white hats and  70%of the black hats.

A greater percentage of  black hats were sold.

Step-by-step explanation: to answer this question we have to divide the number of hats sold by the number of total hats for each case.

Then, we have to multiply that result by 100, to obtain the result in percentage form.

White Hats: (120/200) x 100 =60%

Black hats: (210/300) x 100= 70%

The musical group sold 60%of the white hats and 70%of the black hats.  

A greater percentage of black hats were sold. (Since 70 > 60 )

Answer:

The answer is 0.01

Step-by-step explanation:

so in order to round it you have to know after the decimal it goes: tenths, hundreds, thousands (0 tenths, 0 hundreds, 0 thousands)

So 0.007492, take the first 3 numbers after the decimal, 0.007, since it will be in the hundreds place, lets see if we can round the 0 up. If the number behind 0 is greater then or equal to 5 round up, if the number is less then 5 then it stays the same. Since 7>5 it rounds up, so the 0 becomes 1. So your new number will be 0.01

Hoped this helped :D

By rounding 0.007492 to the nearest hundredth, we get 0.01.

The number you are rounding is followed by 5, 6, 7, 8, or 9, round the number up.

Example: 0.3879 rounded to the nearest hundredth is 0.39.

If the number you are rounding is followed by 0, 1, 2, 3, or 4, round the number down.

Example: 0.3823 rounded to the nearest hundredth is 0.38.

Given number is 0.007492.

Rounding to nearest hundredth, we get:

0.00749 ⇒ 0.01.

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Answer:

x < 3

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Answer:

Gang ima just take them points tbh

Step-by-step explanation:

Answer:

If two chords intersect in a circle, then the product of the segments of one chord equals the product of the segments of the other chord.

6(3x) = 4(4x + 1)

18x = 16x + 4

2x = 4

x = 2

Answer:

56%

Step-by-step explanation:

This is because the question you need to ask yourself is: 14 is what percent of 25? and the way you solve that is making it 14/25 and then all percents are out of 100 so you need to change the fraction to over 100 so just multiply by 4 (because 25 x 4 is 100) and you get 56/100, which means 56%.

The total amount to each person end up paying $20.54.

To find the total amount each person will pay, first calculate the 20% tip on the total bill and then divide the sum by the number of people.

To split the bill evenly among Raphael and his four friends, we first need to find the total cost including the 20% tip.

The tip is 20% of the original bill, which is equivalent to 0.20 x $85.60 = $17.12.

Therefore, the total cost of the bill with the tip is $85.60 + $17.12 = $102.72.

To split this evenly among the five people, we divide by 5:

$102.72 ÷ 5 = $20.54

So each person will end up paying $20.54.

20% of $85.60 is ($85.60 * 0.20) = $17.12

Add the tip to the total bill:

$85.60 + $17.12 = $102.72

Divide the total amount by the number of people (5): $102.72 / 5 = $20.54

Therefore, the answer is B. $20.54.

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Answer:

total : 12371747

down payment : 10,515,984.95

Step-by-step explanation:

90 is a fourth of 360, so the a fourth of the total circumference is between those two radii. This means that, if you find the circumference and divide it by 4, the resulting number is that length.