Apply the distributive property and simplify. -9(x+2)=45 -9x+(__)=45

Answer:

23

Step-by-step explanation:

She originally had 23 because if she gave away 6 bags of chips, she would have 17 left

-

17+6=23

double check answer:

23-6=17

Answer:

the answer is 23

Step-by-step explanation:

17+6=23

so she 23 bags of chips

Answer:

96 cm^2

Step-by-step explanation:

The triangle can be split into 2 6-8-10 triangles, each with area 24. The bottom parallelogram area is base times height, or 8 * 6, so 48. 24 + 24 + 48 is 96.

Answer:

$3,665

Step-by-step explanation:

Answer:

C. 4/8

Step-by-step explanation:

She bought 4 pounds, and she wants to make 8 sandwiches.

1 and a half would be 1.5 pounds. 1.5 lb each sandwich x 8 sandwiches = 12, which is more than 4. So option A is incorrect.

3/4 is 0.75. 0.75 lbs each sandwich x 8 sandwiches = 6 lbs, which is more than 4. Option B is incorrect

4/8 = 0.5. 0.5 lbs each sandwich x 8 sandwiches = 4 lbs. Option C is correct.

1/4 is 0.25. 0.25 lbs per sandwich x 8 sandwiches = 2 lbs, which is less than 4 lbs. Option D is incorrect.

Also, 4 lbs divided by 8 sandwiches is 0.5 lbs a sandwich

Answer:

this can be the answer

because in given question there is no relation between equations

Answer:

What question? <3

Answer:

where are the questions i got you

Step-by-step explanation:

The number of jobs that he could he do if the cost was $four thousand, one hundred twenty five will be 25.

A word problem in mathematics simply refers to a question that is written as a sentence or in some cases more than one sentence which requires an individual to use his or her mathematics knowledge to solve the real life scenario given.

When a man does job at the rate of $165 per job, the number of jobs that he could he do if the cost was $four thousand, one hundred twenty five will be:

= Amount / Rate

= $4125 / $165

= 25

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A man does job at the rate of $165 per job. How many jobs could he do if the cost was $four thousand, one hundred twenty five?

Answer:

<

The symbol < best describes this equation because:

-2.985 is less than -2.428.

< means greater.

So, the answer is <. Hope it helps!

Answer:

wait whaaaaaaaat? like turn it into an equation?

Step-by-step explanation:

Answer:

600 m³

Step-by-step explanation:

Attached Below

If it helps, mark as brainliest. : )

Answer:

18.445

Step-by-step explanation:

Multiply

Answer:

48/50

Step-by-step explanation:

So find 96 percent of 50

Now divide it

48/50

You dont gotta divide, leave it as fraction

Answer:

1/10

Step-by-step explanation:

1/2 * 1/5

Multiply the numerators

1*1 = 1

Multiply the denominators

2*5 =10

Numerator over denominator

1/10

Answer:

1/10

Step-by-step explanation:

multiply the numerators and denominators separately

1×1/2×5

any expression multiplied by 1 remains the same

1/2×5

2×5=10

1×1=1

1/10

Answer:

6.14 is Rational only

The problem represents a linear equation.

What is linear equation?

A linear equation is a particular type of equation in which the highest power of the variable is always 1(linear). This type of equation is also known as a one-degree equation.

Larry is paid $10 per hour he receives a $1 per hour raise each year.

Let he works for x hours.

In 1 hour he receives $10 so for x hours he will receive $10x

$1 per hour raise.

So there will be a linear equation

The linear equation will be if we take total income as $y then,

y= 10x+1

which is of the linear equation form y=m x+ b where m is the slope.

Hence, the problem represents a linear equation.

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The probability that Player A wins the tournament is 1/2.

Case 1: Player B enters the tournament.

In this case, the probability of Player A winning the tournament is given as 1/6.

Case 2: Player B does not enter the tournament.

In this case, the probability of Player A winning the tournament is given as 3/4.

Now, we know that the probability of Player B entering the tournament is 1/3.

To find the overall probability of Player A winning the tournament, we need to consider both cases and weigh them by the probabilities of their occurrence.

The overall probability can be calculated as follows:

P(A wins) = P(A wins | B enters) * P(B enters) + P(A wins | B does not enter) * P(B does not enter)

Substituting the given values:

P(A wins) = (1/6) * (1/3) + (3/4) * (2/3)

         = 1/18 + 1/2

         = 1/18 + 9/18

         = 10/18

         = 5/9(1/2 approx.)

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The complete question is:
Golfing Player A has entered a golf tournament but it is not certain whether player B will enter. Player A has probability 1/6 of winning the tournament if player B enters and probability 3/4 of winning if player B does not enter the tournament. If the probability that player B enters is 1/3, find the probability that player A wins the tournament.

Answer:

C = 7 + 1.25t

Step-by-step explanation:

7 remains constant

1.25 changes according to t

Answer:

C(t ) = 1.25t + 7

Step-by-step explanation:

We can establish the following equation:

C(t ) = 1.25t + 7

Where:

C(t ) = represents the total cost relative to the t  number of tickets used

t = number of tickets used to play games

1.25 = cost per ticket to play games

7 = flat fee to enter the arcade

Hey there,

We have,

f(x) = x² + 11x + 30g(x) = x + 6

Now,

(f.g)(x) = f(g(x))

Substituting...

g(x) = x + 6f(g(x)) = f(x + 6)

Now,

f(x + 6)= (x + 6)² + 11(x + 6) + 30= x² + 12x + 36 + 11x + 66 + 30= x² + 23x + 132

So,The value is x² + 23x + 132

Answer:

sqrt(x) where x is between 81 and 100; example sqrt(88). See explanation for more examples.

Step-by-step explanation:

9=sqrt(81) and 10=sqrt(100)...

So the square root(x) is between 9 and 10 if x is between 81 and 100.

Here are examples:

sqrt(82)

sqrt(83)

sqrt(85.6)

sqrt(92)

sqrt(94)

sqrt(97)

sqrt(99)

sqrt(99.6)

So again the answer is just anything in form sqrt(x) where x is between 81 and 100. The reasoning is because sqrt(81)=9 and sqrt(100)=10 which puts the values we stated between those values.

Answer:

A

Step-by-step explanation:

the cost and weight are directly proportional, so decreasing one decreases the other at the same rate.

ratio is cost : weight, which is 15:10. the simplest ratio is 3:2, on the graph find where the cost is 3 and weight is 2. only graph A satisfy the condition

Answer:

45 degree angle

Step-by-step explanation:

Let's say that the line crossing the middle of quadrant four was on the y-axis, that would be known as a 90 degree angle.  Since it was cut in half, that would become a 45 degree angle.

Withholding food and fluids before surgery is done to ensure that the patient's stomach is empty. This helps to minimize the risk of aspiration, which occurs when stomach contents enter the lungs. Aspiration can lead to respiratory complications such as pneumonia, which can be dangerous for the patient.

The appropriate response by the nurse is d) It prevents aspiration and respiratory complications. Withholding food and fluid before surgery is important to prevent aspiration, which occurs when stomach contents enter the lungs during surgery, and can cause respiratory complications. It also helps ensure a clear surgical field. However, the patient will still receive necessary fluids and medications through an IV during surgery to prevent dehydration and maintain blood pressure. It is important to follow the healthcare provider's instructions on pre-operative fasting to ensure the safest surgical experience.
d) It prevents aspiration and respiratory complications.
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There are now 7 classrooms of 31 and 3 of 30.

A linear equation in mathematics is an equation that can be written as display style a 1x 1+ldots +a nx n+b=0, where x 1, dots, x n are the variables, and display style b, a 1, ldots, a n are the coefficients, which are frequently real integers.

Madison, we first have to add 30 + 31 = 61.

How many times does 61 go into 307

Five,

because 61 x 5 = 305.

This means there are 5 of each classroom.

We still have two students left over, though, so they will have to be added to two of the 30 rooms,

so there are now 7 classrooms of 31 and 3 of 30.

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Answer:  A

Step-by-step explanation:

When multiplying: Numbers multiply with numbers and for the x's, add the exponents

If there is no exponent, you can assume an imaginary 1 is the exponent

2x⁴ (3x³ − x² + 4x)

= 6x⁷ -2x⁶ + 8x⁵

Answer:

A. \(6x^{7} - 2x^{6} + 8x^{5}\)

Label the parts of the expression:

Outside the parentheses = \(2x^{4}\)

Inside parentheses = \(3x^{3} -x^{2} + 4x\)

You must distribute what is outside the parentheses with all the values inside the parentheses. Distribution means that you multiply what is outside the parentheses with each value inside the parentheses

\(2x^{4}\) × \(3x^{3}\)

\(2x^{4}\) × \(-x^{2}\)

\(2x^{4}\) × \(4x\)

First, multiply the whole numbers of each value before the variables

2 x 3 = 6

2 x -1 = -2

2 x 4 = 8

Now you have:

6\(x^{4}x^{3}\)

-2\(x^{4}x^{2}\)

8\(x^{4} x\)

When you multiply exponents together, you multiply the bases as normal and add the exponents together

\(6x^{4+3}\) = \(6x^{7}\)

\(-2x^{4+2}\) = \(-2x^{6}\)

\(8x^{4+1}\) = \(8x^{5}\)

Put the numbers given above into an expression:

\(6x^{7} -2x^{6} +8x^{5}\)

distribution

variable

like exponents

Step-by-step explanation:

draw a number line and plot on 7 and make an arrow at the other end of the line

Answer:

34.1%, D

Step-by-step explanation:

To convert a number into a percent, you multiply it by 1, or more precisely, 100%. 100% can be thought of as 100 * 1%
0.341 * 100 * 1 %   = 34.1%

Answer:

Step-by-step explanat

Square is consider as the king of all the quadrilaterals.

Explanation:

Square is consider as the king of all the quadrilaterals:

Therefore, square shape is consider as the king of all the quadrilaterals.

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Answer:

70°

Step-by-step explanation:

(180-40)/2

= 140/2

= 70

Answered by GAUTHMATH

The solution to the differential equation D²y(t) + 12 Dy(t) + 36y(t) = 2 \(e^{(-5t)}\), with initial conditions y(0) = 1 and Dy(0) = 0, is \(y(t) = (1 + 6t) e^{(-6t)}\).

To solve the given differential equation using the classical method, we can assume a solution of the form \(y(t) = e^{(rt)}\) and find the values of r that satisfy the equation. We then use these values of r to construct the general solution.

Using the classical method:

Substitute the assumed solution \(y(t) = e^{(rt)}\) into the differential equation:

D²y(t) + 12 Dy(t) + 36y(t) = \(2 e^{(-5t)}\)

This gives the characteristic equation r² + 12r + 36 = 0.

Solve the characteristic equation for r by factoring or using the quadratic formula:

r² + 12r + 36 = (r + 6)(r + 6)

= 0

The repeated root is r = -6.

Since we have a repeated root, the general solution is y(t) = (c₁ + c₂t) \(e^{(-6t)}\)

Taking the first derivative, we get Dy(t) = c₂ \(e^{(-6t)}\)- 6(c₁ + c₂t) e^(-6t).\(e^{(-6t)}\)

Using the initial conditions y(0) = 1 and Dy(0) = 0, we can solve for c₁ and c₂:

y(0) = c₁ = 1

Dy(0) = c₂ - 6c₁ = 0

c₂ - 6(1) = 0

c₂ = 6

The particular solution is y(t) = (1 + 6t) e^(-6t).

Using the Laplace transform method:

Take the Laplace transform of both sides of the differential equation:

L{D²y(t)} + 12L{Dy(t)} + 36L{y(t)} = 2L{e^(-5t)}

s²Y(s) - sy(0) - Dy(0) + 12sY(s) - y(0) + 36Y(s) = 2/(s + 5)

Substitute the initial conditions y(0) = 1 and Dy(0) = 0:

s²Y(s) - s - 0 + 12sY(s) - 1 + 36Y(s) = 2/(s + 5)

Rearrange the equation and solve for Y(s):

(s² + 12s + 36)Y(s) = s + 1 + 2/(s + 5)

Y(s) = (s + 1 + 2/(s + 5))/(s² + 12s + 36)

Perform partial fraction decomposition on Y(s) and find the inverse Laplace transform to obtain y(t):

\(y(t) = L^{(-1)}{Y(s)}\)

Simplifying further, the solution is:

\(y(t) = (1 + 6t) e^{(-6t)\)

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Answer:

s(2r + 2s) or 2s(r + s)

Step-by-step explanation:

To factor -10r^2-11sr+6s^2, we need to find two binomials that when multiplied together give us the original expression.

First, we need to find two numbers that multiply to give -60s^2 (the product of the coefficients of the first and last term) and add to give -11s (the coefficient of the middle term). These numbers are -5s and -6s.

We can now split the middle term -11sr into -5sr - 6sr and rewrite the original expression as:

-10r^2 - 5sr - 6sr + 6s^2

Now we can factor by grouping:

(-10r^2 - 5sr) + (-6sr + 6s^2)

Factor out -5s from the first group, and 6s from the second group:

-5s(2r + s) + 6s(1r - s)

Now we have a common factor of (2r + s) - (1r - s):

(-5s + 6s)(2r + s - 1r + s)

Simplifying this expression gives us the final factorization:

s(2r + 2s) or 2s(r + s)

Answer: -(5r-2s)(2r+3s)

Step-by-step explanation: First you factor out the negative 1 and you get -(10r^2 + 11sr -6s^2). Then you factor it to get -(5r-2s)(2r+3s).