Question 6 Points 1 There were 896 passengers on a train. Out of that total, 764 passengers had to get off on the way. About how many passengers were remaining (round off)?

Answer:

Question 1: 29

Question 2: 50

Question 3: AD≅BC

Step-by-step explanation:

question 1: Since it's a parallelogram opposite sides are equal.

4x+5=5x-1   add one to both sides

4x+6 =5x subtract 4x from both sides

6 = x

So AD is equal to 5(6) - 1 = 30-1 =  29=AD

Question 2: Since diagonals in a parallelogram bisect each other AE = EC

So...

5x+5 = 8x- 7 add 7 to both sides

5x+12 = 8x subtract 5x from both sides

12=3x divide both sides by 3

4=x

AC= 5(4) + 5 + 8(4) - 7

AC= 20 + 5 + 32 - 7

AC= 50

Question 3: Lines can only be congruent, represented by ≅, not equal which is represented by =. Values can be equal.

By using the elimination method you get the answer  line AD ≅ line BC

The probability that a ball selected at random from the jar is number 1, rounded to two decimal places, is 0.17.

To find the probability of selecting ball number 1 from a jar containing 6 balls numbered from 1 to 6, we need to determine the number of favorable outcomes (selecting ball number 1) and the total number of possible outcomes.

The total number of possible outcomes is 6 since there are 6 balls in the jar.

The number of favorable outcomes is 1 since we are interested in selecting ball number 1.

Therefore, the probability of selecting ball number 1 is given by:

Probability = Number of Favorable Outcomes / Total Number of Possible Outcomes

Probability = 1 / 6

To express this probability in decimal form, we divide 1 by 6:

Probability ≈ 0.1666667

Rounded to two decimal places, the probability of selecting ball number 1 is approximately 0.17.

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Value of expression 8+7×10+(-5-7)÷(-4)(-3) is 69.

The order of operations is a rule that tells the correct sequence of steps for evaluating a math expression. We can remember the order using PEMDAS: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

Given expression,

8+7×10+(-5-7)÷(-4)(-3)

Using PEMDAS rule, solving parentheses

8+7×10 -12 ÷ (-4)(-3)

Solving division

8 + 70 + 3(-3)

Solving multiplication

8 + 70 - 9

Solving addition

= 78 - 9

Solving subtraction

= 69

Hence 69 is the value of expression 8+7×10+(-5-7)÷(-4)(-3)

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The following set of real numbers  R = { (x,y) : (2,3), (4,4), (6,5), (8,6)...} is linear.

A set is a collection of well defined objects.

According the given set we have R = { (x,y) : (2,3), (4,4), (6,5), (8,6)...}

The set is of real numbers and it is linear.We can define this linear relationship by for every 2 point right shift or run in x axis results in 1 point up shift in y axis or rise.

We know linear equation is of form y = mx + b. Where m is the slope and b is the y intercept.

Slope(m) = rise/run or (y₂ - y₁)/(x₂ - x₁).

lets take two pair of co-ordinates from he given set.

(x₁,y₁) = (2,3) and (y₁,y₂) = (4,4).

Slope (m) = (4 - 2)/(4 -3)

           m = 2.

Now the equation can be written as

y = 2x + b to find the y intercept we will put the values of x and y from any of the co-ordinate.

(x,y) = (2,3)

∴ y = mx + b

3 = 2(2) + b

b = -1.

∴ y = 2x - 1.

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A predicate nominative is a noun or a pronoun which follows the verb and describes the subject.

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The length FE in the circle is 6 units

The arc AE has a measure of 64 degrees

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

The circle

Given that the lengths from the center to either chords are equal

This means that

FE = 6 units

For the other circle, we have

BC = 58 degrees

AB = ED

The arc AE is calculated as

AE = 180 - BC - ED

Where

AB = ED = BC = 58 degrees

So, we have

AE = 180 - 58 - 58

Evaluate

AE = 64

Hence, the arc AE is 64 degrees

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Answer:

y = 14x - 1

Step-by-step explanation:

By equation of the line, we mean the slope intercept form equation \(y=mx+b\) where m is the slope and b is the y intercept. As a result, we are given the slope and the y intercept in the problem. So we can use this to write our equation

\(y=14x-1\)

Hope this helps!

Answer:

1 adult ticket and 7 student tickets were purchased

Step-by-step explanation:

let a represent number of adult tickets purchased and s the number of student tickets purchased, then

a + s = 8 ( subtract s from both sides )

a = 8 - s → (1) ← based on total tickets purchased

10.5a + 7.25s = 61.25 → (2) ← based on cost of tickets

substitute a = 8 - s into (2)

10.5(8 - s) + 7.25s = 61.25

84 - 10.5s + 7.25s = 61.25

84 - 3.25s = 61.25 ( subtract 84 from both sides )

- 3.25s = - 22.75 ( divide both sides by - 3.25 )

s = 7

substitute s = 7 into (1)

a = 8 - 7 = 1

that is 1 adult ticket and 7 student tickets were purchased

Answer:

x=

−32/9y +14/9

Step-by-step explanation:

Answer:

e-5=2f

take '-5' to the other side where '2f' is

e=2f+5

Step-by-step explanation:

To eliminate x in the system of equations:

1. Multiply Equation 1 by 9 and multiply Equation 2 by -4, this gives:

Equation 1: 36x -54y = 90

Equation 2: -36x - 8y = -28

2. Add the two equations together to eliminate x:

(36x - 54y) + (-36x - 8y) = 90 - 28

Simplifying, we get:

-62y = 62

3. Solve for y:

y = -1

4. Substitute y = -1 into one of the original equations, say Equation 1:

4x - 6(-1) = 10

Simplifying, we get:

4x + 6 = 10

5. Solve for x:

4x = 4

x = 1

Therefore, the solution to the system of equations is x = 1 and y = -1. We can check that these values are correct by substituting them back into the original equations and verifying that they satisfy both equations.

Answer:

The company charged $500 for its services,and Mia gives the movers a 16% tip. Now, we can add the tip amount to the cost of the service to find the total amount Mia paid: Total amount = Cost of service + Tip amount = $500 + $80 = $580

Step-by-step explanation:

Answer:

Step-by-step explanation:

So for the fewest days it would be 3 days. The reason for that is because she has 254 pound coins. And she can inly take 5 bags to the bank a day, all of those 5 bags have 100 pound coins in them. If she take 2 days and get 200 pound coins to the bank. Then on the third day she would only have to bring three bags. So your answer for the fewest days possible is three days!

Hope it helps

Answer:

12

Step-by-step explanation:

You simply add the coefficients together.
3 + 4 + 5 = 12

Two times or Twice the sum of a number and 3 is 8. The value of the number will be 1.

Let the value of the unknown number or variable be c.

Given,

"Two times the sum of a number and 3 is equal to 8", which means when you add the unknown number with 3 and then multiply it by 2, then the final answer will come as 8.

If we form the statement into an equation, then finding the value of the unknown variable will be a lot easier.

The equation will be:

    2(c + 3) = 8

=> 2c + 6 = 8

=> 2c = 8- 6

=> 2c = 2

=> c = 2/2

=> c = 1.

Hence, the value of the unknown number c will be 1.

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You have the right one selected.

The answer is 2:1

To find this take each side of ABC and its corresponding side on DEF, then simplify. You can treat ratios just like fractions, so simplify them in the same way.

20:10 becomes 2:1

12:6 becomes 2:1

16:8 becomes 2:1

Answer:

A function is a relation in which each input has only one output.

Step-by-step explanation:

In the relation Y is a function of X because for each input x(1,2,3 or 0) there is only one output y.

The relation that is a function is the relation (d)

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

The relations (1) to (4) represent the given parameter (see attachment)

Next, we test the options

Relation (a)

This relation is not a function

This is because it fails the vertical line test i.e. some output values all point to the same input value,

Relation (b)

This relation is not a function

This is because it fails the vertical line test i.e. some output values all point to the same input value,

Relation (c)

This relation is not a function

This is because it fails the vertical line test i.e. some output values all point to the same input value,

Relation (d)

This relation is a function

This is because the inputs all point to different output values

Hence, the option (d) is a relation

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Answer:

x = -2 ± 3√2

Step-by-step explanation:

x^2 + 4x + 4 = 18:

or, (x + 2)^2 = 18

Taking the square root of both sides, we get:

or, x + 2 = ±√18

or, x + 2 = ±3√2

or,x = -2 ± 3√2

therefore, x = -2 + 3√2 or x = -2 - 3√2

or,

using Shridharacharya's formula

x = (-b ± √(b^2 - 4ac)) / (2a)

now,

x^2 + 4x + 4 = 18.

or, x^2 + 4x + 4 - 18 = 0

or, x^2 + 4x - 14 = 0

or, x = (-4 ± √(4^2 - 4(1)(-14))) / (2(1))

or, x = (-4 ± √(16 + 56)) / 2

or, x = (-4 ± √72) / 2

(√72 = √(36 x 2) =6√2)

or, x = (-4 ±6√2 ) / 2

or, x = -2 ± 3√2

Therefore,x = -2 + 3√2 and x = -2 - 3√2.

Answer:

18

Step-by-step explanation:

The value of such that = k * 180, where k is an integer, is the value at which cotangent is undefinable.

Cotangent, or cot, is one of the six standard trigonometric functions. Cotangent of an angle is defined as the ratio of the adjacent side to the opposite side of a right-angled triangle.

The value of cotangent is undefined when the denominator is zero. This implies that cotangent is undefined at angles where the value of sine is zero.

Since the sine function is periodic and has a period of 360 degrees, the values of sine repeat themselves after every 360 degrees.

For this reason, cotangent is undefined at angles such that θ = k * 180, where k is an integer.

That is, cotangent is undefined at 0°, 180°, 360°, and so on. It is also important to note that cotangent is a periodic function, and its values repeat every 180 degrees.

Therefore, cotangent is undefined at 0° + k * 180°, where k is an integer.

To summarize, the value of Θ at which cotangent is undefined is such that θ = k * 180, where k is an integer.

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The steps in solving the given expression shows that the result is:

0.92 * 10²

The expression is given as:

6.89 * 10⁻⁴/(7.5 * 10⁻⁶) = 0.92 * 10¹

The steps that Maggie followed are:

Step 1: Rewrite the given expression:

6.89 * 10⁻⁴/(7.5 * 10⁻⁶) = 0.92 * 10¹

Step 2: Divide the coefficients:

The coefficient of the numerator (6.89) is divided by the coefficient of the denominator (7.5) to get:

6.89 / 7.5 = 0.9186667.

Step 3: Divide the powers of 10:

This is done by subtracting the exponent of the denominator 10⁻⁶ from the exponent of the numerator 10⁻⁴ to get: 10²

Step 4: Combine the results:

This gives:

0.9186667 * 10²

Step 5: Simplify the coefficient:

She rounded the coefficient (0.9186667) to two decimal places, resulting in 0.92.

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Answer:

It would take 5 days

Step-by-step explanation:

1990/400 is 4.975 round that it is 5 so 5 days

Answer:

At least 5 days

Step-by-step explanation:

400 miles per day  / 1990 miles trip would take?

Cross multiplying gives;

\(\frac{1990}{400}\) = 4.975 days

Rounding off the answer to nearest day gives 5 days.

Answer:

Step-by-step explanation:

1+sin(θ)=√3/2+2/2

sin(θ) = √3/2

on unit circle this is where y is positive because sin so it will be pi/3 and 2pi/3

Answer:

C

Step-by-step explanation:

Reflect over y axis the rotate 180 degrees.

There are 9,000 numbers that have 7 in the thousands of places and are less than 54,000.

Consider the possible digits in the hundreds, tens, and one's places.

Thousands of places: There is only one possibility, which is 7.

Hundreds place: Any digit from 0 to 9 is possible.

Tens place: Any digit from 0 to 9 is possible.

One place: Any digit from 0 to 9 is possible.

Since the number is less than 54,000, the digit in the hundreds place cannot be 5.

So, there are 9 possible digits (0 to 9, except 5) for the hundreds place, and 10 possible digits (0 to 9) for the tens and one's places.

So, the total number of such numbers is:

9 x 10 x 10 x 10 = 9,000

Therefore, there are 9,000 numbers that satisfy the given condition.

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àaaaaaaaaaaaass la verdad no se

Answer:

 =  1.6

Unless you meant to clarify what in the equation you needed, but that is the answer to it.

Answer:

Step-by-step explanation:

True.

To calculate Jane's debt-to-income ratio, we need to divide her total liabilities by her total income. However, the prompt only gives us the sum of Jane's assets and liabilities, not her income.

Assuming that Jane's assets are not considered as part of her income, we can conclude that she falls within the recommended amount, since her total liabilities ($2,300) divided by her total income (which we don't know but is presumably greater than her liabilities) would be less than 15%.