What is 8409 times 1683?

The unit rate of the relationship will be 10/3. The correct option is C.

The given equation is,

y = 10/3x + 8

The general form of an equation of the line is,

y = mx +  c

here, the slope will be 10/3

Slope refers to the steepness or incline of a line on a graph. It is a measure of how much the dependent variable changes for a given change in the independent variable.

The slope of a line is represented by the ratio of the change in the y-axis (vertical) to the change in the x-axis (horizontal) between any two points on the line. It can also be interpreted as the rate of change of the dependent variable with respect to the independent variable.

A positive slope indicates an upward trend, while a negative slope indicates a downward trend. The slope of a line is often denoted by the letter m.

The unit relationship will be 10/3.

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Answer: (D) 12 to 4

Step-by-step explanation:

        First, we will find the number of people waiting in line for each activity.

➜ Bumper cars is 12

➜ Slingshot is 4

        Next, we will create our ratio. This is asking for Bumper cars to Slingshot, so Bumper cars is first with Slingshot second.

➜ 12 to 4

The percentage of the council members who voted in favor of the tax is 50%.

The percentage is a ratio that can be expressed as a fraction of 100.

Given that, the council has 76 members out of which 38 members voted in favor of the tax.

The percentage amount of members who favor the tax is:
(38/76) × 100%

= 50%

Hence, the percentage of the council members who voted in favor of the tax is 50%.

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The probability that all three number cubes will land on an odd number is 1/8

From the question, we have the following parameters that can be used in our computation:

Number of cubes = 3

Sections on each cube = 6

Odd sections on each cube = 3

This means that

P(Odd) = Odd sections/Total sections

So, we have the following representation

P(Odd) = 3/6

Simplify

P(Odd) = 1/2

For the three cubes, we have

P(All odd) = P(Odd)^Number of cubes

Substitute the known values in the above equation, so, we have the following representation

P(All odd) = (1/2)³

Evaluate

P(All odd) = 1/8

Hence, the probability is 1/8

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Answer: 1/8

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Answer:

Step-by-step explanation:

Discussion

You have to rearrange the equation so that y is all by itself on the left and it must be positive. Stay tuned to get the rest of the rule.

x - y = 3                       Multiply the whole equation by -1

-1(x - y = 3)                   Remove the brackets. This gets y to be +

-x + y = - 3                   Add x to both sides of the equation.

-x+x + y = -3 + x           Combine the left. Notice the x's disappear on the left

y = - 3 + x

Now for the rest of the rule. The number in front of the x is the slope. But, you say, there is no number. Well there is. It's 1.

Answer

The slope of the line is 1.

The only true statement about the domain of the given function is:

B. f(x) is negative for all x < -5

The domain of a function is defined as the set of values that we can possibly plug into our function. This set is the x values in a function such as f(x).

Now, we are given the function as:

f(x) = \(\frac{2}{x^{2} } + 3x - 10\)

When x < -5, we have:

f(-4) = \(\frac{2}{(-4)^{2} } + 3(-4) - 10\)

f(-4) = -21.875

This suggests that for all values below x = -5 will result in negative values

When x > 2

f(3) = \(\frac{2}{3^{2} } + 3(3) - 10\)

f(3) = -0.78

Thus, it will get positive for higher values but it can also be negative as seen here.

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Answer:

265.1

Step-by-step explanation:

10% = 0.1

15% = 0.15

0.1(42)(8) + 0.15(14)(15) + 200 = 33.6 + 31.5 + 200 = 265.1 - total amount  Adam earned last week.

Answer:

w-9≤12

I wrote it out.

Answer:

1. C = $1.65p

2. $260.10 ÷ $1.65 = 157.64 because we need to round it will be rounded up to 158 pounds

Answer:

KL = 17.32

Step-by-step explanation:

\(KL^{2} = (ML)(JL)\\KL^{2} = (15)(20)\\KL^{2} = 300\\\sqrt{KL^{2} } = \sqrt{300} \\KL = 17.32\)

Using Trigonometry, the value of x in the right triangle is 17.1

Since we have a right angle triangle ; The angle L can be obtained thus ;

L = 180 - (90+67)

L = 23

Using Trigonometry:

Sin23° = opposite/ hypotenuse

Opposite= 6.7

hypotenuse= x

Sin23° = 6.7/x

x = 6.7/sin(23°)

x = 17.14

Therefore, the value of x to the nearest tenth is 17.1

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The probability of selecting a girl and a boy for the class committee can be calculated by considering the total number of outcomes and the number of favorable outcomes.

Identify the number of girls and boys in the class. In this case, there are 5 girls and 7 boys.

Determine the total number of students in the class. That is 5 + 7 = 12.

Determine the number of ways to select two students from the class.

Here we can use the combination formula, which is written as C(n, r), where n is the total number of items and r is the number of items to be chosen.

In our case, n = 12 (total number of students) and r = 2 (number of students to be selected).

C(12, 2) = 12! / (2!(12-2)!) = 66.

Determine the number of favorable outcomes.

In this case, we want to select one girl and one boy. We multiply the number of girls by the number of boys: 5 x 7 = 35.

To find the probability, we divide the number of favorable outcomes (35) by the total number of outcomes (66):

Probability = Number of favorable outcomes / Total number of outcomes = 35 / 66 = 5/6.

So, the probability of selecting a girl and a boy for the class committee is 5/6.

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The price per cup is $0.20.

To determine the price per cup, we need to first find the number of cups in a 2-quart carton of apple juice.

Since 1 quart is equal to 4 cups, a 2-quart carton contains 2 x 4 = 8 cups of apple juice.

Therefore, the price per cup of apple juice can be found by dividing the total cost of the carton by the number of cups:

$1.60 / 8 cups = $0.20 per cup

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The percent of his monthly budget that his transport costs account for will be 17.8%.

The percent of his monthly budget that his transport costs account for will be:

= 325/(800 + 450 + 125 + 325 + 125) × 100

= 325/1825 × 100

= 17.8%

The percent of his monthly budget has he accounted for will be:

= 1825/2500 × 100

= 73%

When he saves 10% of his take-home pay towards retirement, the amount saved will be:

= 10% × $2500

= $250

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The percent of Rayan's monthly budget that his transport costs account for will be 17.8%.

1. The proportion of his monthly budget that his transit expenses make up is:

= 325/(800 + 450 + 125 + 325 + 125) × 100

= 325/1825 × 100

= 17.8%

The proportion of his monthly budget that he has already accounted for is:

= 1825/2500 × 100

= 73%

He will save the following sum for retirement if he sets aside 10% of his after-tax income:

= 10% × $2500

= $250

The answer is $250.

2. To find the percentage of his monthly budget accounted for by transport costs, we add up the amounts for Car Payment and Gas:

$325 + $125 = $450.

Then we calculate the percentage: (450 / 2500) x 100% = 18%. Therefore, his transport costs account for 18% of his monthly budget.

3. To find the percentage of his monthly budget accounted for overall, we sum up all the amounts in the table:

$800 + $450 + $125 + $325 + $125 = $1,825.

Then we calculate the percentage: (1825 / 2500) x 100% = 73%. Therefore, he has accounted for 73% of his monthly budget.

4. To calculate how much Ryan can save each month for retirement, we take 10% of his take-home pay:

10% of $2,500 = $250.

Thus, he can save $250 each month for retirement.

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The labeling of bases and height in a trapezium is not fixed and can vary based on the context or problem. It doesn't matter where they are on the trapezium, as long as they are clearly defined and consistent within the given situation.

In a trapezium (or trapezoid), the labeling of the bases and height is not fixed or standardized. It can vary depending on the context or the specific problem being considered. However, there are a few general guidelines to keep in mind when labeling a trapezium.

Bases: The trapezium has two parallel sides, often referred to as the "top base" and the "bottom base." The bases are usually labeled based on their relative lengths or position in the trapezium. The longer parallel side is commonly referred to as the "top base," while the shorter parallel side is referred to as the "bottom base." However, this is not a strict rule and can vary depending on the problem or preference.

Height: The height of a trapezium is the perpendicular distance between the bases. It is generally labeled as a vertical line segment connecting the bases. The placement of the height is not fixed, and it can be drawn from any point on the top base to any point on the bottom base, as long as it forms a perpendicular line. The height is usually labeled with the symbol "h" or sometimes "x" or "y" depending on the context.

It's important to note that the labeling of the bases and height is primarily for communication and clarity. As long as the labeling is consistent and clearly defined within the given problem or context, it does not have to conform to any specific arrangement or be in a rectangular shape. The key is to ensure that the labels are clearly understood and can be used to calculate the desired quantities or solve the problem at hand.

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Answer:

lol

Step-by-step explanation:

Answer:

math kinda sucks. :) Brainliest pls???

Step-by-step explanation:

Answer:

The third one

Answer:

0.25

Step-by-step explanation:

The completely factoring form of 6a^2 - 15a + 6 is 3(2a - 1)(a - 2).

To completely factor the expression 6a^2 - 15a + 6, the first step is to check if there is a common factor among the coefficients (6, -15, and 6) and the terms (a^2, a, and 1).

In this case, we can see that the common factor among the coefficients is 3, so we can factor out 3:

3(2a^2 - 5a + 2)

Now we need to factor the quadratic expression inside the parentheses further. We are looking for two binomials that, when multiplied, give us 2a^2 - 5a + 2. The factors of 2a^2 are 2a and a, and the factors of 2 are 2 and 1. We need to find two numbers that multiply to give 2 and add up to -5.

The numbers -2 and -1 fit this criteria, so we can rewrite the expression as:

3(2a - 1)(a - 2)

Therefore, the completely factored form of 6a^2 - 15a + 6 is 3(2a - 1)(a - 2).

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Answer:

An explicit representation for the nth term of the sequence:

\(f_n=-\frac{1}{2}\cdot \:4^{n-1}\)

It means, option (B) should be true.

Step-by-step explanation:

Given the geometric sequence

\(-\frac{1}{2},\:-2,\:-8,\:-32,...\)

A geometric sequence has a constant ratio, denoted by 'r', and is defined by

\(f_n=f_1\cdot r^{n-1}\)

Determining the common ratios of all the adjacent terms

\(\frac{-2}{-\frac{1}{2}}=4,\:\quad \frac{-8}{-2}=4,\:\quad \frac{-32}{-8}=4\)

As the ratio is the same, so

r = 4

Given that f₁ = -1/2

substituting r = 4, and f₁ = -1/2 in the nth term

\(f_n=f_1\cdot r^{n-1}\)

\(f_n=-\frac{1}{2}\cdot \:4^{n-1}\)

Thus, an explicit representation for the nth term of the sequence:

\(f_n=-\frac{1}{2}\cdot \:4^{n-1}\)

It means, option (B) should be true.

The share of the whole bag of raisins individually of the friends get will be 1/12.

Algebra is the study of ideational symbols, while logic is the manipulation of all those opinions.

James had a large bag of raisins and he consumed 3/4 of it over the weekend. Then the share of raisins left is given as,

⇒ 1 - 3/4

⇒ 1/4

Monday he determined to share the remaining raisins with 2 friends so that individuals of the 3 of them fetches a fair share. Then the portion of the entire bag of raisins did separately of the friends get will be given as,

⇒ (1/4) / 3

⇒ 1 / (4 x 3)

⇒ 1 / 12

The share of the whole bag of raisins separately among the friends get will be 1/12.

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Answer:

Step-by-step explanation:

slope = (-5-(-1))/(0-(-2)) = (-4)/2 = -2

y+5 = -2(x-0)

y = -2x - 5

Answer:

-2x - 5

Step-by-step explanation:

Each of the five friends needs to pay £14.40 to cover the cost of the birthday person's meal.

To calculate how much each of the five friends needs to pay, we can use the concept of averages or mean.

The total cost of the meal for 6 people is £12 per person. This means that the total cost of the meal is 6 * £12 = £72.

Since the other five friends have decided to pay for the birthday person's meal, they will evenly divide the total cost of £72 among themselves.

To find the average amount each friend needs to pay, we divide the total cost by the number of friends paying, which is 5:

£72 / 5 = £14.40

Using the concept of averaging or finding the mean allows us to distribute the cost equally among the friends, ensuring fairness in sharing the expenses.

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Step-by-step explanation:

y² - x² + 1 = 50

y² = x² - 1 + 50 = x² + 49

y = ±sqrt(x² + 49)

this is not a function in that sense, as for every x there are not one but 2 y (result) values.

Answer:

8 1/2

2 19/36

1 9/10

23/42

a. Let \(d\) be the number of daytime calls Eshwa makes, and \(e\) the number of evening calls. Then the cost \(C\) (in pence) of making \(d+e\) calls is

\(C = \boxed{50d + 40e}\)

b. £1 = 100p, so the cost \(C'\) (in £) is 1/100 of the cost found in part (a),

\(C' = \dfrac{50d + 40e}{100} = \boxed{\dfrac d2 + \dfrac{2e}5}\)

c. If Eshwa makes 30 of each type of call in a month, then the total cost (in £) is

\(C' = \dfrac{30}2 + \dfrac{2\cdot30}5 = \boxed{27}\)

c2. If Eshwa makes 20 daytime calls and 50 evening calls, then the total cost (in £) is

\(C' = \dfrac{20}2 + \dfrac{2\cdot50}5 = \boxed{30}\)

d. Let \(e=40\) and \(C'=42\). Solve for \(d\).

\(42 = \dfrac d2 + \dfrac{2\cdot40}5\)

\(42 = \dfrac d2 + 16\)

\(\dfrac d2 = 26\)

\(d = \boxed{52}\)

The value of sin A is, 7/25.

The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.

We have to given that;

The terminal side of angle A goes through the point (−24/25,7/25) on the unit circle.

Now, By definition we get;

⇒ cos A = - 24/25

⇒ Sin A = 7/25

Thus, The value of sin A is, 7/25.

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Answer:

12

Step-by-step explanation:

A. Ram spent $18 on six pens and six books. The grand total is $72.

B. The cost of each pen is $9.

C. The variable is called x.

What is an equation?

A set of variables, constants, and mathematical operations such as addition, subtraction, multiplication, or division balanced by the equal sign is known as an equation. The equation's left-hand side (LHS) is on the left side, and its right-hand side (RHS) is on the right side (RHS).

Here, we have

Given: the equation 6x + 18 = 72:

A. The issue is that Ram spent $18 on six pens and six books. The total amount he paid is $72.

B. The following equation will be used to demonstrate this:

6x + 18 = 72

Compile similar terms.

6x = 72 - 18

6x = 54

On dividing,

x = 54 / 6.

x = $9

Hence, each pen will set you back $9.

C. The variable's value is x = 9.

Hence, the pen's price is 9.

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