What is the additive inverse of 9/10

Answer: A.  D.

Step-by-step explanation:

A.

x-b-3<0

x-b-3+3<0+3

x-b<3   (yes)

B.

0>b-x+3

0+x>b-x+3+x

x>b+3

x-b>b+3-b

x-b>3   (no)

C.

x<3-b

x+b<3-b+b

x+b<3   (no)

D.

-3<b-x

-3+3<b-x+3

0<b-x+3

0+x<b-x+3+x

x<b+3

x-b<b+3-b

x-b<3    (yes)

Answer:

A and D

Step-by-step explanation:

Option A

\(\begin{aligned}& \textsf{Given inequality}: & x-b-3 & < 0\\& \textsf{Add 3 to both side}: \quad & x-b-3+3 & < 0+3\\& \textsf{Simplify}: & x-b & < 3\end{aligned}\)

Option B

\(\begin{aligned}& \textsf{Given inequality}: & 0 & > b-x+3\\& \textsf{Add $x$ to both sides}: & 0+x & > b-x+3+x\\& \textsf{Simplify}: & x & > b+3\\& \textsf{Subtract $b$ from both sides}: \quad& x-b & > b+3-b\\& \textsf{Simplify}: & x-b & > 3\end{aligned}\)

Option C

\(\begin{aligned}& \textsf{Given inequality}: & x & < 3-b\\& \textsf{Add b to both sides}: \quad & x+b & < 3-b+b\\& \textsf{Simplify}: & x+b & < 3\end{aligned}\)

Option D

\(\begin{aligned}& \textsf{Given inequality}: & -3 & < b - x\\& \textsf{Divide both sides by -1}: \quad & \dfrac{-3}{-1} & > \dfrac{b}{-1}-\dfrac{x}{-1}\\& \textsf{Simplify}: & 3 & > -b+x\\& \textsf{Simplify}: & x-b & < 3\end{aligned}\)

Note: When multiplying or dividing by a negative number in an inequality, remember to flip the inequality sign.

Answer: D because this is a positive non-linear relationship.

Step-by-step explanation:

     First off, we will rule out answer options A and C because they both are negative and the problem says that the value is being increased.

     Next, we need to decide between answer option B (linear) or option D (exponential). Since the computer increases \(\frac{1}{3}\) of it's value every year, this is an exponential growth.

     For example, let us say the computer is currently worth $10. Next year it will be worth $13.33 (10 * 1.3333) and the year after that it will be worth $17.77 (13.33 * 1.333). This is not a linear relationship.

Answer:

3/2

Step-by-step explanation:

7 x 3/14 can be simplified to 21/14, which is written in simplest form as 3/2.

Hope can help :)

The simplest form of the fraction of the expression is 3/2.

We have,

The expression:

7 x 3/14

Now,

14 is a multiple of 7.

i.e

7 x 2 = 14

So,

7 x 3/(7 x 2)

7 gets canceled.

= 3/2

Thus,

The simplest form of the fraction of the expression is 3/2.

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Answer:

t=23

Step-by-step explanation:

Answer:

Step-by-step explanation:
\(168yd^{2}\)

Answer:

168 yd²

Step-by-step explanation:

4 × 7 yd × 12 yd / 2 = 168 yd²

The maximum revenue is $987, and it occurs when the company produces 141 kg of the second mix and 0 kg of the first mix.

Corner point (0, 81): R = 7x + 5y = 7(0) + 5(81) = 405

Set up variables

Let x be the number of kilograms of the first mix (half nuts and half raisins) that the company produces. Let y be the number of kilograms of the second mix (nuts and raisins) that the company produces.

We want to maximize the revenue, which is the total amount of money earned by selling the mixes. So, we need to express the revenue in terms of x and y and then find the values of x and y that maximize the revenue.

Step 1: Rewrite the revenue function

The revenue from selling the first mix is still 7x dollars, but the revenue from selling the second mix is now 11y dollars (since it sells for $11 per kg).

Therefore, the total revenue is R = 7x + 11y dollars.

Step 2: Rewrite the constraints

The constraints are still the same: x/2 + y/2 ≤ 141 and x/2 + y/2 ≤ 81.

Step 3: Draw the feasible region

The feasible region is still the same, so we can use the same graph:Graph of the feasible region for the chocolate mix problem

Step 4: Find the corner points of the feasible region

The corner points are still the same: (0, 81), (141, 0), and (54, 54).

Step 5: Evaluate the revenue function at the corner points

Corner point (0, 81): R = 7x + 11y = 7(0) + 11(81) = 891

Corner point (141, 0): R = 7x + 11y = 7(141) + 11(0) = 987

Corner point (54, 54): R = 7x + 11y = 7(54) + 11(54) = 756

The maximum revenue is $987, and it still occurs when the company produces 141 kg of the second mix and 0 kg of the first mix.

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Note that the rule that describes the translation that was aplied to the trapezoid D.O.G.S to create D'.O'. G'. S' is (x,y) → (x-3, y-7).

A translation is a sort of transformation that involves sliding each point in a figure the same distance in the same direction.

Translation in geometry refers to shifting a form into a different place without affecting it in any manner. Shape translation is presented to Year 5 students by providing them shapes on squared paper that must be moved a specified number of squares up, down, left, or right.

Hence, the  translation rule

that was aplied to the trapezoid D.O.G.S to create D'.O'. G'. S' is (x,y) → (x-3, y-7).

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Full Question:

Although part of your question is missing, you might be referring to this full question: See attached image.

Answer:

The area is the product of length and width, which is to say that the length and width are factors of the area.

Assuming the dimensions are integers, you want factors of 84 that differ by 5.

Step-by-step explanation:

... 84 = 1×84 = 2×42 = 3×28 = 4×21 = 6×14 = 7×12

The last of these pairs differ by 5, so ...

the length is 12 inches

the width is 7 inches.

The answer is l=12, w=7

Answer:

Step-by-step explanation:

Givens

Let the width be w

Let the length be w + 5

Let the area = 84

Equation

A = L*w

Solution

x(x + 5) = 84              Remove the brackets

x^2 + 5x = 84            Subtract 84 from both sides

x^2 + 5x - 84 = 0      This will factor

(x - 7)(x + 12) =0

x + 12 has no meaning. Geometry does not use negative numbers.

x - 7 = 0                      Add 7 to both sides

x = 7

The width = 7

The length = 7 + 5 = 12

Answer:

22

Step-by-step explanation:

a=larger number     b= smaller number

a=2b-10,  a+b=38

2b-10+b=38

3b=48

3b/3=48/3

b=16

a+16=38

a=38-16

a=22

answer: FALSE

Step-by-step explanation:

V=Bh

The formula for the volume of a prism is V=Bh , where B is the base area and h is the height. The base of the prism is a rectangle. The length of the rectangle is 9 cm and the width is 7 cm. The area A of a rectangle with length l and width w is A=lw .

The average speed of the car is 40 km/hr.

It would take a car 3 hours to cover 120 km at a speed of 40 km/h.

The car moves for a time period of 3 hours.

The car has to travel a total distance of 120 km.

As we know the formula of speed is distance/time,

Hence, s = d/t km/hr

Let speed, distance and time be s, d, t respectively.

So by putting the values,

speed s = d/t = 120/3 = 40 km/hr.

Hence it can be said that the car would cover 120 km at the speed of 40 km/hr in 3 hours.

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the given vectors. −4i + 8j − 6k, 6i + 2j + 5k  positive i-component of -0.678 and a negative i-component of 0.678.

The two given vectors are as follows:Vector A = −4i + 8j − 6kVector B = 6i + 2j + 5kThe dot product of the two vectors is:A · B = (−4i + 8j − 6k) · (6i + 2j + 5k) = −24 + 16 − 30 = −38Since the dot product is negative, we can conclude that the two vectors are orthogonal to each other.

Any vector that is orthogonal to both A and B must also be orthogonal to the plane that they span. We can create the normal vector to the plane by taking the cross product of A and B.The cross product of A and B is given by:A × B = det | i j k |-4 8 -6 6 2 5 = i(-40-12) - j(-30-36) + k(8+24) = -52i + 66j + 32k

Any unit vector in the direction of the cross product is normal to the plane. We can find a unit vector by dividing the cross product by its magnitude. Therefore, we can find the unit vector that is orthogonal to both A and B as follows:n = (A × B) / |A × B| = (-52i + 66j + 32k) / √(52² + 66² + 32²)

Now we can find the positive i-component of n:Positive i-component = (-52) / √(52² + 66² + 32²)And we can find the negative i-component of n:Negative i-component = -Positive i-component = 52 / √(52² + 66² + 32²)Therefore, the unit vector that is orthogonal to both A and B has a positive i-component of -0.678 and a negative i-component of 0.678.

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Answer:

A: 0

Step-by-step explanation:

Important to remember - total displacement is the direct distance between the start and finish points, and isn't always equal to the total distance travelled.

In the case of the table above, the hiker travels the same distance in opposite directions, which actually means they cancel each other out! Traveling 4 km to the west, then 4 km to east means you end up in the same spot, right? So your total displacement is 0! (or 4 - 4, which equals 0). Same happens with the north-south hikes - the hiker ends up in the same spot, as the displacement is equal to 6 - 6 = 0.

So, the total displacement of the hiker is 0. (Even though the hiker travelled 20 km!)

Total number of students that likes both dog and Cat = 194 students.

Total number of students = 335 students

Therefore,

percentage = 58%

Brutus Construction Company pays approximately 0.80% of the outstanding principal in interest each month.

To calculate the percentage of the outstanding principal that Brutus Construction Company pays in interest each month,

Calculate the monthly interest rate.

The Annual Percentage Rate (APR) is 9.60%.

To find the monthly interest rate, we divide the APR by 12: 9.60% / 12 = 0.80% (0.008 in decimal form).

Determine the number of months for the loan.

The loan is for five years, so the number of months is 5 years× 12 months/year = 60 months.

Calculate the monthly payment.

To calculate the monthly payment,

we can use a loan amortization formula or financial calculator.

For the purpose of this calculation,

we'll assume the loan is fully amortizing,

meaning the principal and interest are paid off by the end of the loan term.

In this case, the monthly payment can be calculated by dividing the total loan amount by the number of months:

$1,235,000 / 60 = $20,583.33.

Calculate the interest payment for the first month.

The interest payment for the first month can be calculated by multiplying the outstanding principal (initial loan amount) by the monthly interest rate:

$1,235,000×0.008 = $9,880.

Calculate the percentage of the outstanding principal paid in interest each month.

To find the percentage, we divide the interest payment for the month by the outstanding principal and multiply by 100:

($9,880 / $1,235,000) × 100 ≈ 0.80%.

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For the arrival of both Bob and alice independently at uniformly distributed times on that day. The probability they will meet for lunch that day is equals to the 0.4514.

Let X = arrival time (in minutes past noon) of the first-to-arrive person and

Y = arrival time (in minutes past noon) of the second-to-arrive person. Then, we have X and Y are independent implies their joint probability = product of their individual probabilities .... (1)

Probability density function, Pdf of X is : (1/60)dx [noon to 1 pm is 60 minutes and X ~ Uniform ....(2)

Similarly, Pdf of Y is: (1/60)dy [noon to 1 pm is 60 minutes and Y ~ Uniform] ...(3)

The two will meet for lunch on that day if

Y = X ± 15...(4)

To expand equation (4), further,

P(The two will meet for lunch on that day) = A + B + C, ...(5)

where \(A = \int_{0}^{15}(\frac{1}{60}\int_{0}^{x +15}\frac{1}{60}dy)dx\)

\(B = \int_{15}^{45}(\frac{1}{60}\int_{x- 15}^{x +15}\frac{1}{60}dy)dx \\ \)

\(C= \int_{45}^{60}(\frac{1}{60}\int_{x- 15}^{60}\frac{1}{60}dy)dx \)

Now, we solve the above integrales one by one, \(A = \int_{0}^{15} \frac{1}{3600} (x + 15)dx\)

\(A =\frac{1}{3600}[x^{2}+15x]_{0}^{15}\)

\(= \ \frac{1}{3600}[15^{2} + 15 \times 15 - 0]\)

A = \( \frac{775}{7200} = 0.1076 \)

\(B= \int_{15}^{45} \frac{1}{3600} [(x + 15) - (x - 15)]dx \\ \)

\(= \int_{15}^{45} \frac{1}{3600}[30]dx \)

= \( \frac{1}{3600}[30x]_{15}^{45} \\ \)

\(= \frac{30}{3600} [ 45 - 15 ]\)

\( \frac{900}{3600} \: = 0.25\)

\(C = \int_{45}^{60} \: \frac{1}{3600}(60 - x + 15)dx\)

\(= \int_{45}^{ 60} \: \frac{1}{3600}(75 - x )dx\)

\(= \frac{1}{3600}[75x - \frac{x²}{2}]_{45}^{ 60} \)

\(= \frac{1}{3600}[75 \times 60 - \frac{{60}^{2}}{2} - 75 \times 45 + \frac{ {45}^{2}}{2}] \\ \)

\(= \frac{1}{3600}[ 1125 - 787.5] \)

= \( \frac{337.5}{3600} = 0.0938\)

From Required probability = 0.1076 + 0.25 + 0.0938 = 0.4514

Hence, required probability is 0.4514.

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Answer:

2 to 1

Step-by-step explanation:

there is a ratio of 6 squares to 3 triangles

6/3, simplified would be 2/1

1.) Bobby wants to give a tip of $86.70 to the bike specialist. 2.) Final total = $953.69 - $142.55 = $811.14

To find out Bobby's new total after the bike shop's special offer, we need to take into account the tip he wants to give to the bike specialist before the discount is applied.

We first figure out the tip Bobby wishes to give the bike specialist, which is 10% of the subtotal before the discount is applied, to determine his new total after the bike shop's promotional offer. Then, in order to obtain a new subtotal that includes the tip, we add this tip amount to the subtotal. The final total is then calculated by applying the 15% discount to the new subtotal and deducting it from the new subtotal.

First, we'll calculate the tip amount:

Tip = $866.99 x 10% = $86.70

So Bobby wants to give a tip of $86.70 to the bike specialist.

Then, we'll add the tip amount to the subtotal before the discount was applied:

Subtotal + Tip = $866.99 + $86.70 = $953.69

This is the new subtotal, including the tip before the discount is applied.

Now, we can apply the discount of 15% to this new subtotal:

Discount = $953.69 x 15% = $142.55

Finally, we'll subtract the discount from the new subtotal to find the final total:

Final total = $953.69 - $142.55 = $811.14

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Answer: ..

Step-by-step explanation:

Wed: 0%

Thu: 30%

Fri: 50%

Sat: 80%

Sun: 100%

I got these answers by taking 100, and subtracting the rain percentage from it. For instance, if it was a 45% to rain, and a unknown amount for it to not rain, I would take 100 and subtract 45 from it, resulting in a 55% chance of it not raining.

The expression for the area under the graph of f(x) over the interval [2, 4] is given by the limit as n approaches infinity of the Riemann sum: A = lim(n→∞) Σ[f(xi)Δx].

To express the area under the graph of f(x) as a limit, we divide the interval [2, 4] into n subintervals of equal width Δx = (4 - 2)/n = 2/n.

Let xi be the right endpoint of each subinterval, with i ranging from 1 to n. The area of each rectangle is given by f(xi)Δx.

By summing the areas of all the rectangles, we obtain the Riemann sum: A = Σ[f(xi)Δx], where the summation is taken from i = 1 to n.

To find the expression for the area under the graph of f(x) as a limit, we let n approach infinity, making the width of the rectangles infinitely small.

This leads to the definite integral: A = ∫[2, 4] f(x) dx.

In this case, the expression for the area under the graph of f(x) over the interval [2, 4] is given by the limit as n approaches infinity of the Riemann sum: A = lim(n→∞) Σ[f(xi)Δx].

Evaluating this limit would yield the actual value of the area under the curve.

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The total number of seats in the theatre are 1287.

Given that:-

Number of rows in the theatre = 22

Seats in 1st row = 27

Seats in 2nd row = 30

Seats in 3rd row = 33

and so on.

This is a question of Arithmetic Progression (AP).

Here,

First element = 27

Common difference = 3

Number of terms = 22

First we will find the number of seats in 22nd row.

Number of seats in 22nd row = 27 + (22-1)*3 = 27 + 21*3 = 27 + 63 = 90.

Now, we have to find,

27 + 30 + 33 + 36 + .... + 90

Hence, sum of the number of seats in all the rows = (22/2)(2*27 + (22-1)*3) = 11(54 + 21*3) = 11(54+63) = 11(117) = 1287.

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Answer:

x ≤ 40

Step-by-step explanation:

-75-6x+13x ≤ 200

-75 is the cost of the booth a day

-6 is the intial cost of the paintings for Chris

x is the amount of paintings

13 is the price Chris sells the paintings for

200 is the profit needed

First thing you do is add like terms -75-6x+13x ≤ 200

add -6x and 13x

-75+7x ≤ 200

Now add 75 to both sides

7x ≤ 275

Now divide both sides by 7

x≤ 275

x≤ 39.2857142857

round up to x≤ 40   (because 39 paintings is not enough, 40 gives him $205 in profit while 39 only gives him $198 in profit)

The graphs which show functions with direct variation include the following:

B. A coordinate plane showing Cost of Cinnamons with Quantity in ounces on the x-axis and Total Cost in dollars on the y-axis with a line passing through points at (1, 0.3) and (5, 1.5).

C. A coordinate plane showing Breakfast Cost with Number of Meals on the x-axis and Total Cost in dollars on the y-axis with a line passing through points at (1, 1.2) and (5, 6).

E. A coordinate plane showing Euro to U.S Dollar Conversion with Euros on the x-axis and U.S Dollars on the y-axis with a line passing through points at (1, 1.4) and (5, 7).

A graph is a type of chart that's commonly used for the graphical representation of data on both the horizontal and vertical lines of a cartesian coordinate, which are the x-axis and y-axis.

Generally speaking, the graph of any proportional relationship (direct variation) is characterized by a straight line with the points passing through the origin (0, 0) because as the values on the x-axis decreases or increases, the values on the y-axis decreases or increases simultaneously.

In conclusion, the graphs representing direct variation are shown in the image attached below.

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Complete Question:

Which graphs show functions with direct variation? Select three options.

A coordinate plane showing Parking Garage Rates with Time in hours on the x-axis and Total Cost in dollars on the y-axis with a line passing through points at (1, 2.4) and (5, 4).

A coordinate plane showing Cost of Cinnamons with Quantity in ounces on the x-axis and Total Cost in dollars on the y-axis with a line passing through points at (1, 0.3) and (5, 1.5).

A coordinate plane showing Breakfast Cost with Number of Meals on the x-axis and Total Cost in dollars on the y-axis with a line passing through points at (1, 1.2) and (5, 6).

A coordinate plane showing Ferry Ride Cost with Number of Persons on the x-axis and Total Cost in dollars on the y-axis with a line passing through points at (1, 2) and (5, 8).

E. A coordinate plane showing Euro to U.S Dollar Conversion with Euros on the x-axis and U.S Dollars on the y-axis with a line passing through points at (1, 1.4) and (5, 7).

Answer:

The tatal budget of what, there's no budget the budget down so I can do the problem.

The test statistic for this hypothesis is 8.57, rounded to two decimal places.

A hypothesis is a proposed explanation for a phenomenon or set of observations that can be tested through experimentation or further observation. It is essential to scientific inquiry, as the hypothesis provides a starting point for further investigation. Hypotheses can be generated through observation, existing research, or logical deduction. Once a hypothesis is identified, it can be tested through experimentation or observation.

The test statistic for this hypothesis is calculated using the formula t = (M - μ) / (s/√n),
where M is the sample mean,
μ is the population mean (in this case, 0 days late),
s is the sample standard deviation and n is the sample size.
Therefore, the test statistic is calculated as:
t = (1.2 - 0) / (1.4 / √100)
t = 1.2 / 0.14
t = 8.57
Therefore, the test statistic for this hypothesis is 8.57, rounded to two decimal places.

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Answer:

proportional!!!!!!

Step-by-step explanation:

The expression that represent the total amount Ilean earned last week is 27(18) + 75  

An equation is an expression that shows the relationship between two or more variables and numbers.

Let y represent the total amount Ilean earned last week for working x hours.

Since she worked for 27 hours and earned $75 to design a web page. Hence:

y = 27(18) + 75

The expression that represent the total amount Ilean earned last week is 27(18) + 75  

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Data:

Weekdays: m dollars/hour

Weekend: 1.2m dollars/hour

If (1.2m dollars/hour) is the cost in weekends, and (m dollars/hour) is the cost in weekdays.

Answer:(-2,-3)

Step-by-step explanation: We are using elimination to solve this system of equations. They've already done the balancing so let's use their given equation. It states

\(4y+3x=-6\)  and  \(3y-3x=-15\)

Combine the equations which will eliminate the x term and you get :

\(7y = -21\)

which means

\(y=-3\)

plug it back in to solve for x and you get the x-value to be -2.