pls help me I need this

Pls Help Me I Need This

Answers

Answer 1

Answer:

150x÷×÷320y

Step-by-step explanation:

it's hard to tell in writing I can speak it but


Related Questions

Write 12 as a percentage of 15.

Answers

Answer:

80

now enjoy your answer.

Step-by-step explanation:

12 as a percent of 15 = 80 . . . .

It was found out that out of 110 students in a school,20 read both Newspapers and story books.10 read neither newspaper nor story book and thrice as many students read story books as read Newspapers.find the number of students who read
(i) Newspapers
(ii) story books ​

Answers

The students who read newspapers is 30, and the read story books is 90.

Let number of students read newspapers as N and story books as S.

We have

Out of 110 students, 10 read neither newspaper nor story book.

This means that these 10 students are not included in either N or S.

As, students who read story books is three times read newspapers. then, S = 3N.

So, the total number of students who either read newspapers or story books is given by:

= 110 - 10

= 100

and, the total number of students who either read newspapers or story books is given by:

N + S - 20 = 100

Substituting S = 3N, we have:

N + 3N - 20 = 100

4N - 20 = 100

4N = 120

N = 30

Now, we can calculate the number of students who read story books:

S = 3N = 3 c 30 = 90

Therefore, the students who read newspapers is 30, and the read story books is 90.

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Evaluate the expression without using a calculator 16^3/4

Answers

16^3/4 =(2^4)3/4 = 2^3 = 8

Make t the subject of the formula 2(d-t) = 4t+7

Answers

Answer:

2(d-t)=4t+7

Step-by-step explanation:

I don't know

Answer:

2(d-t)=4t+7

2d-2t=4t+7

Group like terms

2d-7=4t+2t

2d-7=6t

simpify

\( \frac{2 d- 7 } 6t= \frac{6t}{6t} \)

Answer

\(t = \frac{2d - 7}{6t} \)

For the following set of questions, let us consider generating documents that are English letter sequences (assume no spaces or punctuation), i.e. the vocabulary W={a,b,c...,z} is made up of all the letters in the English alphabet.
We would like to generate documents using this vocabulary using a multinomial model M. As described in the lecture, what is the minimal number of parameters that the model M should have?

Answers

The multinomial model is used to generate documents using a fixed vocabulary of English letter sequences.

In this model, the probability of each letter is represented by a parameter, and the counts of each letter in the document are assumed to follow a multinomial distribution. The minimum number of parameters required in the multinomial model is 26, since there are 26 letters in the English alphabet.

These probabilities can be estimated from a corpus of text data using maximum likelihood estimation, which involves maximizing the likelihood of the observed data with respect to the parameters. The estimated probabilities can then be used to generate new documents using the multinomial model.

Overall, the multinomial model is a useful tool for generating new text data, and its simplicity and flexibility make it well-suited for a variety of natural language processing tasks.

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4) 1, -4, 16, -64, 256, ...
A) -3125, 15625, -78125
C) -32, 64, -128
B) 243, 729, 2187
D) -1024, 4096, -16384

Answers

Answer:

D) -1024, 4096,- 16384

Researchers for a company that manufactures batteries want to test the hypothesis that the mean battery life of their new battery is greater than the known mean battery life of their older version. The researchers selected random samples of 32 of the new batteries, subjected the batteries to continuous use, and determined the mean and standard deviation of the battery lives in the sample. Which of the following is an appropriate test for the researchers' hypothesis? A. A one-sample z-test for a population mean B. A one-sample t-test for a population mean C. A one-sample z-test for a population proportion D. A matched-pairs t-test for a mean differenceE. A two-sample t-test for a difference between means

Answers

The other possibility is that the new battery will last longer on average than the known average battery life of the previous model. A one-sample t-test for a population mean is an appropriate test for the researchers' hypothesis. So, option B. is the correct choice.

The researchers are interested in comparing the mean battery life of the new batteries to the known mean battery life of the older version. Since the sample size is relatively small (n=32), and the population standard deviation is unknown, a t-test is appropriate for testing the hypothesis.A one-sample t-test for a population mean is used to compare a sample mean to a known or hypothesized population mean when the population standard deviation is unknown. In this case, the null hypothesis would be that the mean battery life of the new battery is equal to or less than the known mean battery life of the older version, and the alternative hypothesis would be that the mean battery life of the new battery is greater than the known mean battery life of the older version

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The grade of a road is its slope written as a percent. A warningsign must be posted if a section of road has a grade of at least 8% and ismore than 750 feet long.a. Interpret and Apply A road rises 63 feet over a horizontal distanceof 840 feet. Should a warning sign be posted? Explain your thinking.b. Critical Thinking The grade of a section of road that stretches over ahorizontal distance of 1000 feet is 9%. How many feet does the roadrise over that distance?

Answers

Answer:

(a)Grade =7.5% (No warning sign is needed)

(b)Rise =90 feet

Step-by-step explanation:

\(\text{Slope = }\dfrac{Rise}{Run}\)

(a)

Rise = 63 feet

Run (Horizontal distance) = 840 feet.

\(\text{Slope = }\dfrac{63}{840}=0.075\\\\$Grade=Slope \times 100 = 0.075 \times 100 = 7.5\%\)

A warning sign should not be posted since its grade is less than 8%.

(b)

Grade = 9%

Run (Horizontal distance) = 1000 feet.

Recall that:

Grade = Slope X 100

\(9 =\dfrac{Rise}{1000} \times 100\\\\9 =\dfrac{Rise}{10}\\\\$Rise = 9 \times 10 \\$Rise=90 feet\)

The road rises 90 feet over a distance of 1000 feet.

(WILL GIVE LOTS OF POINTS, PLEASE HELP!!!) The triangle shown is a right triangle. Create the equation to be used to find the missing lengths. (Enter the smaller leg of the triangle first.) Do not solve the equation.

(WILL GIVE LOTS OF POINTS, PLEASE HELP!!!) The triangle shown is a right triangle. Create the equation

Answers

Answer:

(COS) and something I forgot dude

Step-by-step explanation:

(1 point) consider the ellipsoid x2 5y2 z2=18. find all the points where the tangent plane to this ellipsoid is parallel to the plane 3z−(2x 5y)=0.

Answers

The points on the tangent plane are (1/10, 1/20, 3/20) and (-1/10, -1/20, -3/20) if the tangent plane to this ellipsoid is parallel to the normal plane.

The given ellipsoid equation points are :

\(x^{2} + 5y^{2} + z^{2} = 18\)

\(3z - (2x + 5y)=0\)

To find the points on the ellipsoid surface x^{2} + 5y^{2} + z^{2} = 18 which is the tangent plane to this ellipsoid is parallel to the plane 3z - (2x + 5y)=0,  we must to calculate the gradient of the surface and set it comparable to the normal vector of the plane.

The gradient of the surface is calculated by the product of square numbers by its coefficients.

Gradient surface = 2x + 10y + 2z =18

normal vector = (-2, -5, -3)

Considering that the tangent plane is parallel to the plane

2x + 10y + 2z = k(-2, -5, -3)

Therefore we can get the equations,

2x = -2k = -1 x

10y = -5k = (1/2)x

2z = -3k = 3/2 x

Now, these equations are substituted in the Gradient surface equation,

2(-1x)+ 10(1/2x) + (3/2x) =18

3/2x = 18- 3 = 15

3/2x = 15

x = 1/10

similarly, we can calculate the y and z values

y = (1/2) * (1/10) = 1/20

z = (3/2) * (1/10) = 3/20

Therefore we can conclude that the points on the tangent plane are (1/10, 1/20, 3/20) and (-1/10, -1/20, -3/20).

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Can you please solve this

Can you please solve this

Answers

Step-by-step explanation:

To get the x intercepts you need to set y = 0.

So you will get:

\(x^{2}\) - 4x - 12 = 0

which can then be put in the form of:

(x - 6) (x + 2) = 0

The x intercepts are: (6,0) and (-2,0).

For the vertex you would need to convert the equation to vertex form.

which is : y = a\((x-h)^{2}\) =k

\(x^{2}\) - 4x - 12 = y

turn it in to square form:

(\(x^{2}\) - 4x + 4) - 12 - 4 = y

\((x-2)^{2}\) - 16 = y

so the vertex is = (2, -16)

Describe the error in finding the measure of one exterior angle of a regular polygon.

Answers

The error in finding the measure of one exterior angle of a regular polygon lies in using the formula 360°/n, where n is the number of sides of the polygon.

The formula 360°/n is used to find the measure of each exterior angle of a regular polygon. It is based on the idea that the sum of all exterior angles of any polygon is always 360 degrees. However, this formula assumes that the polygon has internal angles of 180°, which is true only for regular polygons.

The error occurs when this formula is applied to a non-regular polygon, as non-regular polygons have varying internal angles. Using the formula 360°/n for a non-regular polygon will give incorrect results because the internal angles are not all equal.

For regular polygons, each exterior angle is indeed 360°/n, and the sum of all exterior angles will be 360 degrees. However, for non-regular polygons, this formula cannot be used, and the measures of exterior angles must be calculated differently based on their internal angles and sides.

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The error in finding the measure of one exterior angle of a regular polygon is they divided 360 by 10 instead of 5.

Given that,

There are a total of 10 exterior angles, two at each vertex, so the measure of one exterior angle is 360°/10 = 36°.

Here, at each vertex there are two angles.

So, there must be 5 vertices and 5 sides.

Then, the measure of one exterior angle = 360°/5

= 72°

Therefore, the error in finding the measure of one exterior angle of a regular polygon is they divided 360 by 10 instead of 5.

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"Your question is incomplete, probably the complete question/missing part is:"

Describe and correct the error in finding the measure of one exterior angle of a regular polygon. There are a total of 10 exterior angles, two at each vertex, so the measure of one exterior angle is 360°/10 = 36°.

If two angles are supplementary to the same angle, then:
a. They are adjacent angles
b. They are congruent angles
c. They are complementary angles
d. They are congruent supplementary angles

Answers

  The option D is the correct answer.

a. They are adjacent angles: Adjacent angles are angles that share a common side and vertex, but do not overlap. It is possible for two angles to be supplementary and adjacent, but it is not always the case. Therefore, option a is not the correct answer.

b. They are congruent angles: Congruent angles have the same measure. Two angles that are supplementary to the same angle can have different measures, so option b is not the correct answer.

c. They are complementary angles: Complementary angles are two angles that add up to 90 degrees. Since two angles that are supplementary to the same angle add up to 180 degrees, they cannot also be complementary. Therefore, option c is not the correct answer.

d. They are congruent supplementary angles: Congruent supplementary angles have the same measure and add up to 180 degrees. This is the correct answer because if two angles are supplementary to the same angle, their measures must be equal in order for their sum to be 180 degrees. Therefore, option d is the correct answer.

To summarize, if two angles are supplementary to the same angle, they are congruent supplementary angles because their measures are equal and add up to 180 degrees.

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Question 2 points)
Simpliny
70 %
1
1

Answers

Answer:

70% of 1/1 (1) is 0.7

Solve for g.
g=
G|N
7
+-70

Solve for g.g=G|N7+-70

Answers

Answer:

g=−28

Step-by-step explanation:

-74 = g/7 + -70

Let's solve your equation step-by-step.

−74=g/7−70

Step 1: Simplify both sides of the equation.

−74=g/7−70

−74=1/7g+−70

−74=1/7g−70

Step 2: Flip the equation.

1/7g−70=−74

Step 3: Add 70 to both sides.

1/7g−70+70=−74+70

1/7g=−4

Step 4: Multiply both sides by 7.

7*(1/7g)=(7)*(−4)

g=−28

Questions 154020 refer to tho following example. Red Dawi, a specialist widgot retailer started business on 1 tarkuary 2121 . In the first, year, bie businass made the following trantactions. 1. The owners plinoed 550.000 of their own funds irlo the business bank acoount. 2. The thusiness used the bank acoount to buy shon fatures and fation whith cost £16,000. 3. The business used the bank account to buy new impensory for E10,000. 4. The business bought further inventory of £9,000 on credit. 5. The shop soid 28,000 of its inwentory for Σ4,000 to customers throught the shop for cas?. 6. Also, the business eold goods that cost R6.,000 to another business for E8,000 on credt 7. The business paid 89,000 in ren from the bank accoint. This covered the 18 months to 30 dune 2022 B. The builnoss caloulated depreciation on tne straight-fine method at 10 per cent per annum, 9. Although the bel had not been received, the ownem ostimated that the electicity would be f.2, 000 for the year, 10. The omners withdrew E0.000 in cash for the own une Question 17: Wrat is the net profit for the year ording 31 Deconter 2021? a. - f3,100 b. −51,600 c.
E500
d E1,500

Answers

The net profit for the year ending December 31, 2021, is £1,000. Therefore, the correct answer is d) £1,000.

To determine the net profit for the year ending December 31, 2021, we need to calculate the total revenue and subtract the total expenses. Let's analyze the transactions provided:

The owners invested £550,000 of their own funds into the business bank account. This does not affect the net profit as it represents an owner's contribution of capital.

The business used £16,000 from the bank account to purchase short features and fashion. This expense reduces the net profit.

The business used £10,000 from the bank account to buy new inventory. This expense also reduces the net profit.

The business bought additional inventory worth £9,000 on credit. This is not an expense for the current year as it represents an increase in assets.

The shop sold £28,000 worth of inventory to customers for cash. This revenue increases the net profit.

The business sold goods costing £6,000 to another business on credit for £8,000. This revenue also increases the net profit.

The business paid £9,000 in rent from the bank account. This expense reduces the net profit.

Depreciation and estimated electricity expenses are not mentioned in the given transactions and cannot be calculated.

The owners withdrew £10,000 in cash for personal use. This is not an expense for the business and does not affect the net profit.

Based on the provided information, we can calculate the net profit as follows:

Total Revenue = £28,000 (from sales to customers) + £8,000 (from sales to another business) = £36,000

Total Expenses = £16,000 (short features and fashion) + £10,000 (new inventory) + £9,000 (rent) = £35,000

Net Profit = Total Revenue - Total Expenses = £36,000 - £35,000 = £1,000

Therefore, the net profit obtained is £1,000.

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If f'(c) < 0 then f(x) is decreasing and the graph of f(x) is concave down when x = c. True False Question 4 (1 point). A local extreme point of a polynomial function f(x) can only occur when f'(x) = 0. True False Question 5 (1 point) If f'(x) > 0 when x < c and f'(x) < 0 when x > c, then f(x) has a maximum value when x = C. True False

Answers

Question 3: True

Question 4: False

Question 5: True

If the derivative of a function, f'(x), is positive for values of x less than c and negative for values of x greater than c, then it indicates a change in the slope of the function. This change from positive slope to negative slope suggests that the function has a maximum value at x = c.

This is because the function is increasing before x = c and decreasing after x = c, indicating a peak or maximum at x = c.

Question 3: If f'(c) < 0 then f(x) is decreasing and the graph of f(x) is concave down when x = c.

True

When the derivative of a function, f'(x), is negative at a point c, it indicates that the function is decreasing at that point. Additionally, if the second derivative, f''(x), exists and is negative at x = c, it implies that the graph of f(x) is concave down at that point.

Question 4: A local extreme point of a polynomial function f(x) can only occur when f'(x) = 0.

False

A local extreme point of a polynomial function can occur when f'(x) = 0, but it is not the only condition. A local extreme point can also occur when f'(x) does not exist (such as at a sharp corner or cusp) or when f'(x) is undefined. Therefore, f'(x) being equal to zero is not the sole requirement for a local extreme point to exist.

Question 5: If f'(x) > 0 when x < c and f'(x) < 0 when x > c, then f(x) has a maximum value when x = c.

True

If the derivative of a function, f'(x), is positive for values of x less than c and negative for values of x greater than c, then it indicates a change in the slope of the function. This change from positive slope to negative slope suggests that the function has a maximum value at x = c. This is because the function is increasing before x = c and decreasing after x = c, indicating a peak or maximum at x = c.

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10. Olive Street crosses two parallel railroad tracks, as shown below
Railroad tracks
30°
Answer
What is the measure of Z1? [2 pts]
Show your work.
2
degrees
1
-Olive Street

Answers

The measure of angle 1 is given as follows:

m < 1 = 150º.

How to obtain the measure of angle 1?

From the image given at the end of the answer, we have that two Railroad tracks are transversal to the Olive Street.

Considering that Olive Street is transversal to the parallel lines, we have that the angle 2 forms a linear pair with the angle of 30º.

Linear pairs are supplementary angles, meaning that the sum of their measures is of 180º, hence the measure of angle 2 is given as follows:

m < 2 + 30º = 180º

m < 2 = 180º - 30º

m < 2 = 150º.

Now we have that angles 1 and 2 are alternate interior angles, as they are between the two parallel lines, on the opposite side of the transversal.

Alternate interior angles are congruent, meaning that the measure of angle 1 is given as follows:

m < 1 = 150º.

Missing Information

The diagram is given by the image shown at the end of the answer.

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10. Olive Street crosses two parallel railroad tracks, as shown belowRailroad tracks30AnswerWhat is the

HELP ASAPPPPPPPP !!!!!! PICTURE BELOW !!! PLEASE I NEED TO PASS .

HELP ASAPPPPPPPP !!!!!! PICTURE BELOW !!! PLEASE I NEED TO PASS .

Answers

The parent would have to earn at least $4.166

How to solve for the earning

$2,475 * 12 months = $29,700

$4,000 savings goal to the family's yearly income

$29,700 + $4,000 = $33,700

yearly income for second parent

80 hours/month * 12 months = 960 hours/year

If offer of daycare is accepted

$33,700 (total income) - $29,700 (first parent's income)

= $4,000

$4,000 / 960 hours = $4.166

this is the minimum wage

The parent would have to earn at least $4.166

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Ameekah is working with consecutive integers. If she uses x to represent her first number, what should she use to represent her second number?
x
x + 1
x + 2
2x

Answers

She should use (b) x + 1 to represent her second number

How to determine the representation of the second number?

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

She uses x to represent her first numberThe numbers are consecutive numbers

As a general rule

Consecutive numbers are number that have a difference of 1 i.e both numbers are next to each other

Take for instance:

2 and 3, 5 and 6, 10 and 11 are all instances of consecutive numbers

Recall that she uses x to represent her first number

This means that the next number is

Next number = First number + 1

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

Next number = x + 1

Hence, the second number is (b) x + 1

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Question Find the cube root. -125 divided by 3

Answers

Answer:

First of all multiply 5 in three times

Select the correct answer.
Consider these functions:
f(x) = 4x³ - 10
g(x) = 3x - 4/2
What is the value of g(f2))?

Answers

Answer:

3x - 4/2

Step-by-step explanation:

2 result(s) for "f(x) = 4x³ - 10 g(x)

find the area of the surface. the part of the sphere x2 y2 z2 = a2 that lies within the cylinder x2 y2 = ax and above the xy-plane

Answers

The area of the part of the sphere x² + y² + z² = a² that lies within the cylinder x² + y² = ax and above the xy-plane.

Step 1: Determine the intersection curve

To find the region on the sphere that lies within the cylinder, we need to determine the points where the sphere and the cylinder intersect. By substituting the equation of the cylinder into the equation of the sphere, we can find the points of intersection.

Substituting x² + y² = ax into x² + y² + z² = a², we have:

(ax) + z² = a²,

z² = a² - ax,

z = ±√(a² - ax).

Step 2: Set up the integral

To find the area of the surface, we'll use a double integral over the region of interest. Since we're dealing with surfaces, it's convenient to express the area element in terms of the cylindrical coordinates (r, θ, z).

The area element in cylindrical coordinates is given by dA = r dz dθ.

Step 3: Define the limits of integration

To set up the limits of integration, we need to consider the region of interest.

Therefore, the limits of integration are:

For θ: 0 ≤ θ ≤ 2π (since we want to integrate over the entire circle)

For r: 0 ≤ r ≤ a (to stay within the sphere)

For z: 0 ≤ z ≤ √(a² - ax) (to stay above the xy-plane and below the sphere)

Step 4: Evaluate the integral

Now, we can set up and evaluate the double integral using the defined limits of integration:

Area = ∫∫r dz dθ.

Integrating with respect to z:

Area = ∫[0 to 2π] ∫[0 to a] r √(a² - ax) dr dθ.

Evaluating this integral will give us the desired area.

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An education budget went from $800,000 to $900,000. What is the approximate percent increase? The approximate percent increase is 13%. The approximate percent increase is 89%. The approximate percent increase is 98%. The approximate percent increase is 113%.

Answers

Answer:

The answer is 13%

Step-by-step explanation:

The approximate percent increase is 13%.

What is Percentage Increase?

Percentage increase is the difference between the final value and the initial value, expressed in the form of a percentage. To calculate the percentage we need to have the initial value and the increased (new) value. In other words, we can say that percentage increase is a measure of percent change which gives the extent to which a quantity gains magnitude, intensity, or value. If the percentage increase is a negative value, then we can say that there is a percentage decrease of the same magnitude.

Percentage Increase Formula

Following the concept of percentage increase, the percentage increase formula is derived and expressed as: Percentage Increase = [(Final Value - Initial Value)/Initial Value] × 100. It should be noted that since the percentage has to be a positive quantity, we take the absolute value of the initial value. If the percentage increase is a negative value, then it is a percentage decrease. The percentage increase is the relative change in the quantity with respect to its initial value. If the percentage change is positive, then it is the percentage increase and if the percentage change is negative, it is a percentage decrease.

Given:

initial =$900,000

Final = $900,000

% increase = $900,000- $800,000/ $800,000 * 100

% increase = 100, 000/8000

% increase = 12.5 %

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1. Which two points fail the VLT here in this graph?


PLEASE HELP!!!!

1. Which two points fail the VLT here in this graph?PLEASE HELP!!!!

Answers

Kiki and Rose's points

They are on the same vertical line so they fail

whichh methods are used for extra comfort during travelling

Answers

Answer:

Remember your good memories

and just relax drink a water it can

comfort u

Answer:

Here's the 10 tips goodluck and be safe okay?

Choose comfortable clothing and footwear: Wear loose, breathable clothing and comfortable shoes to help reduce discomfort during long periods of sitting or walking.Bring a neck pillow: A neck pillow can help support your head and neck while you sleep on long flights or car rides.Use a lumbar support: A lumbar support can help reduce strain on your lower back while sitting for extended periods of time.Take breaks: If you are on a long car or train ride, take breaks to stretch your legs and move around to reduce stiffness and discomfort.Stay hydrated: Drink plenty of water and avoid alcohol and caffeine, which can dehydrate you.Bring healthy snacks: Pack healthy snacks, such as nuts, fruits, and granola bars, to help keep you energized and satisfied during your travels.Use earplugs and a sleep mask: Earplugs can help block out noise, and a sleep mask can help you sleep better on long flights or in bright hotel rooms.Use a travel pillow: A travel pillow can help support your neck and head while sitting or sleeping in an upright position.Choose a comfortable seat: If you are flying, consider upgrading to a more comfortable seat or booking a seat with more legroom to increase your comfort level.Practice relaxation techniques: Techniques such as deep breathing, meditation, or yoga can help you relax and manage stress during travel.

TU = 1 - x, UB = 4x + 17, TB = -3x

Answers

A line is the shortest distance between two points. The value of x from the given parameters is 3

Line segmentation

A line is defined as the shortest distance between two points. Given the following parameters

TU = 1 - x,

UB = 4x + 17,

TB = -3x

According to the addition postulate;

TU + UB = TB

Substitute the given parameters to have:

1 - x + 4x + 17 = -3x

Collect the like terms to have:

1+3x+17 = -3x

3x+3x = -1-17

Simplify

6x = -18

Divide both sides by 6

6x/6 = -18/6

x = -18/6

x = -3

Hence the value of x from the given parameters is 3

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x + 14 = 26, x =

I need help please​

Answers

x=12

hope this helps :))

Answer:

x = 12

Step-by-step explanation:

subtract 12 from the 26 and you get 14 so x = 12

x +y = y-m

what is m

Answers

Answer:

m = -x

Step-by-step explanation:

x +y = y-m

subtract y on both sides which will cancel them out, we are left with

x = -m

multiply both sides by -1 to get rid of the -m

x × -1 = -x, -m × -1 = m

final answer: m = -x

Let's solve

x+y=y-mx=y-y-mx=0-mx=-mm=-x

Done!

Select the correct answer. Cole’s age is 3 years less than his sister Tina’s age, t. If Cole is 18, which equation represents this situation, and how old is Tina? A. The equation that represents this situation is t − 3 = 18. Tina is 21. B. The equation that represents this situation is t + 3 = 18. Tina is 15. C. The equation that represents this situation is 3 − t = 18. Tina is 21. D. The equation that represents this situation is -3 − t = 18. Tina is 15.

Answers

Step-by-step explanation:

A. t-3=18. Tina is 21. Here's your answer.

The correct option is A

The equation that represents this situation is \(t-3=18\). Tina is \(21\).

The explanation for the correct option:

Option A:

It is given in the question, Tina's age is \(t\).Cole's age is \(3\) year less than Tina's age, that is \(t-3\).It is given that Cole's age is given to be \(18\).

From the given question:

\(t-3=18\)

Adding \(3\) both sides in order to solve for \(t\):

\(t=18+3\)

  \(=21 \ years\)

Therefore, the equation to find the age of Tina is \(t-3=18\) and the age of Tina is \(21\) years.

Hence, Option (A) is the correct option.

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