How many triangles can be formed with angles 117°, 24°, 39°?

The equation associated with the quotient of twenty and a number, decreased by 4, is equal to zero is 20/x - 4 = 0 and that number will be 5.

Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.

In other words, an equation is a set of variables that are constrained through a situation or case.

Let's say that number is x,

Quotients of 20 and x will be given as 20/x

20/x - 4 = 0

20/x = 4

x = 20/4 = 5

Hence"The equation associated with the quotient of twenty and a number, decreased by 4, is equal to zero is 20/x - 4 = 0 and that number will be 5".

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When a quadratic equation is graphed, a parabola is produced, whereas a linear equation results in a straight line.Consequently, (1, 3) and are the answers to the system of equations (-5, -3)

In the following respects, quadratic equations differ from linear equations:When a quadratic equation is graphed, a parabola is produced, whereas a linear equation results in a straight line.In contrast to the slope of a linear polynomial, a quadratic polynomial's slope is dynamic.

(1, 3) and are the answers to the system of equations (-5, -3)

Considering the subsequent features

Y=x^2+5x-3

Y-x=2; y = x + 2

The result of equating both outputs is

x^2+5x-3 = x + 2

x^2+5x-3 - x - 2 = 0

x^2 + 4x - 5 = 0

Formulation factorization

x^2 + 5x - x - 5=0

x(x+5) - 1(x+5) = 0

(x-1)(x+5) = 0

x = 1 and -5

Remember that y=x+2

y = 3 and -3

Consequently, (1, 3) and are the answers to the system of equations (-5, -3)

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Answer:

AB = 40 units

Step-by-step explanation:

Given:

AC = 6 x - 2

AB = 2 x + 12

BC = 3 x

Find:

AB

Computation:

Assume, AC is a straight line

So,

AC = AB + BC

6 x - 2 = 2 x + 12 + 3 x

6 x - 5 x = 14

x = 14

AB = 2 x + 12

AB = 2 (14) + 12

AB = 40 units

Answer:

8

Step-by-step explanation:

-4(-4+3)+2^2

-4(-4+3)+4

16-12+4

8

Answer: f(x)=44

Step-by-step explanation:

Since x is given, we can directly plug it into our function.

\(f(8)=6(8)-4\)

\(f(8)=48-4\)

\(f(8)=44\)

Answer:

p = 6 , q = 43

Step-by-step explanation:

x² + 12x - 7

using the method of completing the square

add/subtract ( half the coefficient of the x- term )² to x² + 12x

=x² + 2(6)x + 36 - 36 - 7

= (x + 6)² - 43 ← in the form (x + p)² - q

with p = 6 and q = 43

The transformations that change the domain of a function are given as follows:

The domain of a function is defined as the set containing all the values assumed by the independent variable x of the function, which are also all the input values assumed by the function.

Hence we must look at transformations that change the values of x of the function, which are given as follows:

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Answer:

The Success Leadership Program is part ofany Academy and enrolls all year.

Step-by-step explanation:

From the given probability distribution, the probability of x being 4 in the given probability distribution is 0.15,

According to the given probability distribution in Table 1, the probability of x being 4 is 0.15. This means that out of all the possible values of x (0 to 6), there is a 15% chance that x will be equal to 4.

To understand the probability distribution better, we can visualize it using a graph. The x-axis represents the possible values of x, while the y-axis represents the probability of each value. We can plot the values from Table 1 to create a histogram or a bar graph.

From the graph, we can see that the probability distribution is skewed to the right, with the highest probability being at x=2. This means that there is a higher chance that x will be closer to 2 than to 0 or 6.

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Answer:

1) the angles are supplementary because they sum up to 180 degrees

2) the two angles are same-side interior angles

3) 3x + 10 + 3x - 28 = 180

4) => 6x = 198 => x = 33

Answer:

33 messy

Step-by-step explanation:

The line 5 = 3X - Y or3X minus Y equals five is the same line of  Y equals 3X -5. The correct option is A.

Equations whose variables have a power of one are called linear equations. One example with one variable is where ax+b = 0, where a and b are real values and x is the variable.

Given line:

Y equals 3X -5

Simplifying,

Y = 3X - 5

This is a linear equation.

To find the same line:

Y = 3X - 5

Taking constant to one side and variable to one side,

That means,

5 = 3X - Y

3X minus Y equals five

Therefore, 3X minus Y equals five or 5 = 3X - Y is the required line.

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Answer:

A

Step-by-step explanation:

Because 30+18=48, and 3(10+6)=48

10+6=16

3•16=48

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

You can find the intercepts by dividing the constant (1) by the coefficient of x (1) for the x-intercept, and the coefficient of y (-1) for the y-intercept.

Knowing the x-intercept is +1 and the y-intercept is -1 tells you the graphed line makes a triangle with the axes in the 4th quadrant. The attachment shows a graph of the equation.

The Stafford loan will have a higher balance of $36.53 at the time of repayment.

The correct option is C.

The formula:

PV = PMT/i[1 - {1/(1+i)ⁿ]

PV denotes the loan sum.

PMT stands for "monthly payment," I for "interest rate" (interest rate % divided by 12), and "n" for the number of months (term of the loan in months)

To compare the balances of the two loans at the time of repayment, we need to calculate the total amount owed for each loan.

For the Unsubsidized Stafford Loan:

The total loan amount is $6,720, and the annual interest rate is 3.99%, compounded monthly.

Therefore, the monthly interest rate is 3.99% / 12 = 0.3325%. The loan has a grace period of 6 months, so interest will not start accruing until 6 months after graduation.

The loan will be repaid over a period of 10 years, or 120 months.

Using the formula for the future value of an annuity, the total amount owed for the Unsubsidized Stafford Loan is:

FV = PMT x [(1 + r)ⁿ - 1] / r

where PMT is the monthly payment, r is the monthly interest rate, and n is the number of months.

We can solve PMT using a loan repayment calculator, such as the one found on bankrate.com, and we get a monthly payment of $73.80. Plugging this into the formula, we get:

FV = $73.80 x [(1 + 0.003325)¹¹⁴ - 1] / 0.003325

FV = $9,222.41

Therefore, the total amount owed for the Unsubsidized Stafford Loan at the time of repayment is $9,222.41.

For the PLUS Loan:

The loan amount is $7,241.17, and the annual interest rate is 4.99%, compounded monthly. Therefore, the monthly interest rate is 4.99% / 12 = 0.4158%. Interest starts accruing immediately, and the loan will be repaid over a period of 10 years, or 120 months.

Using the same formula, the total amount owed for the PLUS Loan is:

FV = PMT x [(1 + r)ⁿ- 1] / r

Again, using a loan repayment calculator, we get a monthly payment of $78.93. Plugging this into the formula, we get:

FV = $78.93 x [(1 + 0.004158)^120 - 1] / 0.004158

FV = $9,258.94

Therefore, the total amount owed for the PLUS Loan at the time of repayment is $9,258.94.

Comparing the two loan amounts, we see that the Unsubsidized Stafford Loan will have a higher balance of $36.53 ($9,222.41 - $9,258.94) at the time of repayment.

Therefore, the answer is:

The Stafford loan will have a higher balance of $36.53 at the time of repayment.

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There are 5 equally likely outcomes

P( >1) means the spinner lands on a number greater than 1

P( 2 or 3 or 4 or 5) = number of outcomes with 2 or 3 or 4 or 5 / total number of outcomes

= 4/5

A 4/5

Answer:

calculator gave me 6.5732

Step-by-step explanation:

Answer:

  x^4 -20x^3 +150x^2 -500x +625

Step-by-step explanation:

You want the expansion of (x -5)^4 using the distributive property.

This can be written as ...

  (x -5)^4 = ((x -5)^2)^2

Here's the expansion of the inner parentheses:

  (x -5)^2 = (x -5)(x -5) = x(x -5) -5(x -5)

  = x^2 -5x -5x +25 = x^2 -10x +25

Then the expansion of the outer parentheses is ...

  (x^2 -10x +25)(x^2 -10x +25)

  = x^2(x^2 -10x +25) -10x(x^2 -10x +25) +25(x^2 -10x +25)

  = x^4 -10x^3 +25x^2 -10x^3 +100x^2 -250x +25x^2 -250x +625

  (x -5)^4 = x^4 -20x^3 +150x^2 -500x +625

__

Additional comment

If the 4 is intended to be a factor, then it distributes as ...

  (x -5)(4) = (x)(4) -(5)(4) = 4x -20

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The total materials handling cost allocated to the modular homes is $246,372.84.

The total materials handling cost allocated to the Prefab Barns is closest to $108,000.

To allocate materials handling cost based on material moves, we must determine proportion of material moves for each product and then apply that proportion to the total materials handling cost.

Proportion of material moves for Modular Homes:

= (Total expected material moves for Modular Homes) / (Total expected material moves for both products)

= 590 / (590 + 190)

= 0.756

Total materials handling cost allocated to Modular Homes:

= Proportion of material moves for Modular Homes * Total materials handling cost

= 0.756 * $325,890

= 246 372.84

= $246,372.84.

To allocate the materials handling cost based on direct labor-hours, we need to determine proportion of direct labor-hours for each product.

For Modular Homes:

Total direct labor-hours for Modular Homes:

= 6,000 units * 800 hours/unit

= 4,800,000 hours

For Prefab Barns:

Total direct labor-hours for Prefab Barns:

= 9,000 units * 300 hours/unit

= 2,700,000 hours

Total direct labor-hours for both products:

= 4,800,000 hours + 2,700,000 hours

= 7,500,000 hours

Proportion of direct labor-hours for Prefab Barns:

= 2,700,000 hours / 7,500,000 hours

= 0.36

Allocated materials handling cost for Prefab Barns:

= Proportion of direct labor-hours for Prefab Barns * Total materials handling cost

= 0.36 * $300,000

= $108,000.

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The Equivalent ratio to 8/2 is 4/1, 24/6, 32/8 and 48/12.

We have,

Cylinder and prism.

Here we have to find the equivalent ratio to 8/2.

First simplifying the given ratio as

8/2

= (4 x 2)/2

= 4 /1

Now, some more ratios equivalent to 8/2.

1. 8/2 x 3/3 = 24/ 6

2. 8/2 x 4/4 = 32/8

3. 8/2 x 6/6= 48/12

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Answer:

0

Step-by-step explanation:

After two reflections, P(0, 0)'s reflection image is P (8,-6).

The given point is(0,0)

Therefore, P' is the reflection image of P(0, 0) following two reflections (8,-6).

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Based on the information, there are 25 cars with good brakes and good tires.

Total cars = 50

Cars with faulty brakes = 10

Cars with faulty tires = 15

Cars with faulty brakes and good tires = 2

Let's calculate the number of cars with good brakes and good tires:

Cars with faulty brakes or faulty tires = Cars with faulty brakes + Cars with faulty tires - Cars with faulty brakes and good tires

= 10 + 15 - 2

= 25

Cars with good brakes and good tires = Total cars - Cars with faulty brakes or faulty tires

= 50 - 25

= 25

Therefore, there are 25 cars with good brakes and good tires.

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The equation formed after the transformations is given as follows:

\(g(x) = \frac{1}{6}\sqrt{x + 3}\)

The parent function in this problem is defined as follows:

\(f(x) = \sqrt{x}\)

For the vertical shrink by a factor of 1/6, the function is multiplied by 1/6, hence it is given as follows:

\(g(x) = \frac{1}{6}\sqrt{x}\)

For the translation left 3 units, we have that x -> x + 3, hence:

\(g(x) = \frac{1}{6}\sqrt{x + 3}\)

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Answer:

96

Step-by-step explanation:

3x + 5x = 8x.

8 altogether -->  3 tulips and 5 daisies

16 altogether --> 6 tulips and 10 daisies

24 altogether ---> 9 tulips and 15 daisies

etc

etc

48 altogether --> 12 tulips and 20 daisies

96 altogether --> 15 tulips and 25 daisies

Answer:

55 : 56.6666666667

Step-by-step explanation:

3:5 ÷ 3 = 1 : 1.66666666667 + 55= 56.6666666667

Answer:

B.

Step-by-step explanation:

Answer: answer is B similar to the original image

Step-by-step explanation: i teach this class in highschool

Answer:

the result for Outcome A was 6 more than expected (A)

Step-by-step explanation:

Given:

The binomial model has two outcomes that have the same probability of occurring.

n= number of trials = 60 trials

After the experiment, the researcher found that Outcome A occurred 36 times. This implies the experimental probability of outcome A = 36times

In a binomial distribution, there is a fixed number of trials = n.

There are only two possible outcome in a trial: a success and a failure.

When n= 1

Let p = the probability of a success = 0.5

q = the probability of a failure = 0.5

The sum of the probability of a success and failure = 1

p + q = 0.5+0.5 = 1

The theoretical probability is what you expect to happen, but it isn't always what actually happens when the experiment is carried out

The theoretical probability of success for 1 trial = The theoretical probability of failure for 1 trial= 0.5

when n = 60trials

The theoretical probability of outcome A = The theoretical probability of outcome B = 1/2 (60) = 30times

But the experimental probability of outcome A = 36times

This means that the experimental outcome of A = 6 more than the theoretical probability of outcome A

36 = 30 + 6

Therefore, the result for Outcome A was 6 more than expected (A)

Answer:

5=x

Step-by-step explanation:

Q=2(2x-5)=3x+x-2x

SOLUTION:

4x-10=4x-2x

-10=2x-4x

-10= -2x

(-+-=+ so 10 and 2 are positive now)

10/2=x

5=x