Consider this equation:

–2x – 4 + 5x = 8

Generate a plan to solve for the variable. Describe the steps that will be used.

Answers

Answer 1

Answer:

Step-by-step explanation:

Consider This Equation:2x 4 + 5x = 8Generate A Plan To Solve For The Variable. Describe The Steps That
Answer 2

Answer:

Solve for the (number or thing that changes), so you need to (separate far from others)/get x by itself

-2x - 4 + 5x = 8 First I want to combine like terms (-2x and 5x)

-4 + 3x = 8 (Add 4 on both sides)

3x = 12 Then divide 3 into both sides to get x by itself

x = 4

Combine like terms (add the 5x to the -2x to get 3x). Move the -4 to the other side to get 3x= 12. Divide both sides by 3 to get x=4. Apply the addition property of (a state where all things are equal), Apply the division property of (a state where all things are equal) to divide both sides by 3, Finally, check the solution by substituting 4 into the original equation.

*PLEASE MAKE TEXT INTO OWN WORDS IF POSSIBLE


Related Questions

Dan bought a new computer for $900. Each year, the value of the computer decreased by 25% of the previous year’s value. At this rate, what can Dan expect the approximate value of the computer to be after 7 years?

Answers

Answer:

$120.14

Step-by-step explanation:

This question is an example of a compound percentage decrease.

To work this out you would first need to convert the percentage of 25 into a decimal. You can do this by dividing the percentage of 25 by 100, this gives you 0.25. This is because percentages are out of 100.

The next step is to minus 0.25 from 1, this gives you 0.75. This is because we are working out the percentage decrease.

The final step is to multiply the amount of 900 by 0.75 to the power of 7, this gives you $120.14.

1) Divide 25 by 100.

[tex]25/100=0.25[/tex]

2) Minus 0.25 from 1.

[tex]1-025=0.75[/tex]

3) Multiply 900 by 0.75 to the power of 7.

[tex]900*0.75^7=120.14[/tex]

Answer:

If you’re looking for the vale after 8 years, I got $90 but I’m not sure if I’m right .

Step-by-step explanation:

AKS 18/19 A travel agent is arranging a private cruise. The agent can arrange for, at most, 40 people to go on the trip. The trip cannot be finalized unless there are at least 12 men and 15 women committed to the cruise. The agent will make $26 profit per man and $14 profit per woman. What are the constraints for this situation?

Answers

Answer:

M + W <= 40

M >= 12

M >= 15

Total profit =  $26 * M + $14 * W

Step-by-step explanation:

Let the number of men be denoted by M

number of women be denoted by W

Maximum no of people that can go one trip = 40

Therefore representing it mathematically we have

M + W <= 40  -------------- CONSTRAINT 1

Minimum number of men needed on trip = 12

Therefore representing it mathematically we have

M >= 12  CONSTRAINT 2

Minimum number of women needed on trip = 15

Therefore representing it mathematically we have

M >= 15  CONSTRAINT  3

profit on 1 man = $26

profit on M men = $26 * M

profit on 1 woman = $14

profit on M men = $14 * W

Total profit combining for men and women =

 $26 * M + $14 * W  -------------CONSTRAINT  4

___________________________________________

writing together all the constraint

M + W <= 40

M >= 12

M >= 15

Total profit =  $26 * M + $14 * W

x=4
y=3x+6
How do I work this problem

Answers

Answer:

if x=4 then y=18

Step-by-step explanation:

hope this helps

please mark brainliest ;)

Answer:

Step-by-step explanation:

first, do 4x3. that should equal 12. then, do 12 + 6, or 6 times 3, which equals 18. so, the answer is 18

PLEASE HELP ANSWER THESE QUESTIONS!

1) 2n-4/2n divided by n^2-4/n

2) y^2-36/y^2-49 divided by y+6/y-7

3) m^2-1/ m^2-m divided by m^2-7m-8/3m

Dividing rational expressions
Algebra 1 honors
ILL MARK BRAINIEST!

Answers

Answer:

Step-by-step explanation:

a² - b² = (a+ b)(a - b)

1) (2n-4/2n) ÷ (n^2-4/n)

[tex]=\frac{2n-4}{2n}*\frac{n}{n^{2}-4}\\\\=\frac{2n-2*2}{2n}*\frac{n}{n^{2}-2^{2}}\\\\=\frac{2*(n-2)}{2n}*\frac{n}{(n+2)*(n-2)}\\\\=\frac{1}{n+2}[/tex]

2) [y^2-36/y^2-49] ÷[ y+6/y-7]

[tex]=\frac{y^{2}-36}{y^{2}-49}*\frac{y-7}{y+6}\\\\=\frac{y^{2}-6^{2}}{y^{2}-7^{2}}*\frac{y-7}{y+6}\\\\=\frac{(y+6)*(y-6)}{(y+7)*(y-7)}*\frac{y-7}{y+6}\\\\=\frac{y-6}{y+7}\\[/tex]

3) [m^2-1/ m^2-m] ÷ [m^2-7m-8/3m ]

[tex]=\frac{m^{2}-1}{m^{2}-m}*\frac{3m}{m^{2}-7m-8}\\\\=\frac{(m+1)*(m-1)}{m*(m-1)}*\frac{3m}{(m-8)*(m+1)}\\\\=\frac{3}{m-8}[/tex]

Hint :  m² - 7m - 8

sum = -7

Product  = -8

Factor = (-8), 1

m² - 7m - 8  =m² - 8m + m - 8

                   = m*(m - 8) + (m-8)

                   = (m - 8)(m +1)

The scores on a mathematics college-entry exam are normally distributed with a mean of 68 and standard deviation 7.2. Students scoring higher than one standard deviation above the mean will not be enrolled in the mathematics tutoring program. How many of the 750 incoming students can be expected to be enrolled in the tutoring program?

Answers

631 is the answer-I’m taking this castle learning rn

Using the normal distribution, it is found that 631 of the 750 incoming students can be expected to be enrolled in the tutoring program.

Normal Probability Distribution

The z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.

The proportion of students who score one standard deviation below the mean is the p-value of Z = 1, hence it is of 0.8413.

Hence, out of 750 students, the number is given by:

0.8413 x 750 = 631 students can be expected to be enrolled in the tutoring program.

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In addition to the congruent supplements theorem and cpctc, what else is needed to justify the conclusion that ∠ptq ≅ ∠rtq by sas? given: ∆pst ≅ ∆rst the reflexive property of congruence the vertical angles theorem aas theorem sss postulate description

Answers

Final answer:

To justify the conclusion that ∠PTQ ≅ ∠RTQ by SAS, the congruent supplements theorem and CPCTC are needed.

Explanation:

To justify the conclusion that ∠PTQ ≅ ∠RTQ by SAS (Side-Angle-Side) in the given triangles PST and RST, we need to use the following:

The congruent supplements theorem, which states that if two angles are supplements of congruent angles (in this case, the angles ∠PTS and ∠RTS) then the two angles are congruent.The CPCTC (Corresponding Parts of Congruent Triangles are Congruent) theorem, which states that if two triangles are congruent, then their corresponding parts (in this case, the angles ∠PTQ and ∠RTQ) are congruent.

Therefore, by using the congruent supplements theorem and the CPCTC theorem, we can conclude that ∠PTQ and ∠RTQ are congruent.

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Sylvia earns $7 per hour at her after school job. After working one week, she received a paycheck for $91.

a. Write and solve an equation to find the number of hours Sylvia worked to earn $91.

b. The greatest number of hours Sylvia can work in any week is 15. Write an inequality to represent this statement.

c. What is the greatest amount of money Sylvia can earn in one week?

please help

Answers

Answer:

a.) [tex]hours=13[/tex]

b.) [tex]h\leq 15[/tex]

c.) $[tex]$105[/tex]

Step-by-step explanation:

a.) If she earns $7 'per' hour, this multiplication. After a week, we need to see how many hours she worked to earn $91, so this goes behind the equal sign. Let h be the unknown number of hours:

[tex]7h=91[/tex]

Solve for h. Divide both sides by 7:

[tex]\frac{7h}{7}=\frac{91}{7}\\\\h=13[/tex]

Sylvia worked 13 hours at a rate of $7 an hour.

b.) She can work at most 15 hours a week. At 'most' can also mean less than or equal to. Let h be hours:

[tex]h\leq 15[/tex]

Sylvia can work less than or equal to 15 hours per week.

c.) If Sylvia can work 15 hours, plug in this value for h into an equation when she earns $7 per hour. Let the product of the hours and money equal t for total:

[tex]t=7(15)\\t=105[/tex]

The most money Sylvia can earn in a week is $105.

Finito.

120 inch board is cut into two pieces one piece is two times the length of the other find the length of the shorter piece

Answers

Answer: 30(short piece) 90(long piece)

Step-by-step explanation:

whole numbers greater than 15 but less than 16

Answers

Answer:

There are no whole numbers greater than 15 but less than 16... I am pretty sure it cant be 15 1/2 or something like that...

Step-by-step explanation:

78 is what percent of 450

Answers

Answer:

17.33

Step-by-step explanation:

plug 78/450 into your calculator

78 is 17.33% of percent of 450.

78 is what percent of 450?

A percentage is defined as the ratio that can be expressed as a fraction of 100.

To calculate what percent of 450 is 78, we can use the following formula:

percent = (part / whole) * 100

In this case, the part is 78 and the whole is 450. Thus, we have:

percent = (78 / 450) * 100

percent = 17.33%

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Which transformations are needed to change the parent cosine function to the cosine function below?
vertical stretch of 2, horizontal stretch to a period of 2 pi, phase shift of StartFraction pi Over 2 EndFraction units to the right, vertical shift of 1 unit up
vertical compression of 2, horizontal stretch to a period of StartFraction pi Over 4 EndFraction, phase shift of StartFraction pi Over 4 EndFraction units to the left, vertical shift of 2 units down
vertical compression of 2, horizontal compression to a period of 4 pi, phase shift of StartFraction pi Over 3 EndFraction units to the left, vertical shift of 1 unit down
vertical stretch of 2, horizontal compression to a period of StartFraction pi Over 2 EndFraction, phase shift of Pi units to the right, vertical shift of 1 unit down

Answers

Question:

1. vertical stretch of 2, horizontal stretch to a period of 2 pi, phase shift of StartFraction pi Over 2 EndFraction units to the right, vertical shift of 1 unit up

2. vertical compression of 2, horizontal stretch to a period of StartFraction pi Over 4 EndFraction, phase shift of StartFraction pi Over 4 EndFraction units to the left, vertical shift of 2 units down

3. vertical compression of 2, horizontal compression to a period of 4 pi, phase shift of StartFraction pi Over 3 EndFraction units to the left, vertical shift of 1 unit down

4. vertical stretch of 2, horizontal compression to a period of StartFraction pi Over 2 EndFraction, phase shift of Pi units to the right, vertical shift of 1 unit down

Answer:

The correct option is;

4. Vertical stretch of 2, horizontal compression to a period of π/2, phase shift of π units to the right, vertical shift of 1 unit down

Step-by-step explanation:

Here, we have the parent cosine function given by y = cos(x)

A plot of the above function is attached

By comparison, it is observed that the transformation required to change the parent function includes;

1. Vertical stretch from the parent function of amplitude 1 to amplitude 2

2. A horizontal compression so that the period of one complete revolution is π/2 rather than 2·π in the parent cosine function

3. Phase shift of pi units to the right such that cos(π) = 1 rather than cos(2π) = 1 as it applies to the parent function

4. Shift of the y values from the symmetrical x-axis origin downwards by 1 unit such that the maximum y value of the doubly stretched transformation is 1 rather than 2

!! Algebra 2, please help


Plot the zeros of the polynomial y = x4 + 3x3 − 27x2 + 13x + 42.

Answers

-7, -1, 2, and 3 are the zeros of the polynomial

What is the value of x in the equation 2.5 x + 10 = x minus 0.5? –7 –3 3 7

Answers

ANSWER -7NEGATIVE SEVEN

can someone help me with this

Answers

Answer:

  A) 24 ft³

Step-by-step explanation:

The area of the right triangle base is ...

  A = (1/2)(3)(4) = 6 ft²

The volume of the triangular prism is the product of the area of its base (6 ft²) and its height (4 ft).

  V = Bh = (6 ft²)(4 ft) = 24 ft³ . . . . matches choice A

_____

Comment on the triangle

You know the 3-4-5 triangle is a right triangle, because you have seen those numbers many times in relation to the Pythagorean theorem. If you don't know that, then you can check to see by using the Pythagorean theorem:

  5² = 3² +4²

  25 = 9 + 16 . . . . . true; so the triangle is a right triangle

In any event, there are other means for finding the area of the triangle based on the lengths of its sides. You will get the same area result.

Using Heron's formula, s = (a+b+c)/2 = (3+4+5)/2 = 6.

  A = √(s(s -a)(s -b)(s -c)) = √(6(3)(2)(1)) = √36 = 6 . . . . area of base triangle

Ulissa is making a birthday card and wants to put a border made of pink ribbon all the way around the front of the card. The card is a rectangle 7 inches long and 4 inches wide. How long will the pink border be?

Answers

Answer:

22 inches

Step-by-step explanation:

7 + 7 = 14

4 + 4 = 8

14 + 8 = 22

A cube has an edge length of 2/3 inch . What is the volume of the cube ?

Answers

Answer:

The volume would be eight inches. I hope this helps.

Brainliest welcome

Step-by-step explanation:

Final answer:

The volume of a cube with an edge length of 2/3 inch is found by cubing the edge length, which results in a volume of 8/27 cubic inches.

Explanation:

To find the volume of a cube with an edge length of 2/3 inch, we use the formula for the volume of a cube, which is the edge length cubed (V = [tex]s^3[/tex]). Thus, the volume V is:

V = (2/3 inch) * (2/3 inch) * (2/3 inch)V = ([tex]2^3[/tex])/([tex]3^3[/tex]) cubic inchesV = 8/27 cubic inches

Therefore, the volume of the cube is 8/27 cubic inches.

A bag of animal crackers contains 5 monkeys, 4 giraffes, 6 elephants, and 3 tigers. Suppose you draw a cracker at random. Find the probability of pulling a tiger cracker as a fraction.

Answers

Answer: 3/18 simplified is 1/6

Step-by-step explanation:

5 monkeys +4 giraffes +6 elephants+3 tigers= 18 animal crackers in all.

You would put how many animal crackers there are over the total number of animal crackers, which is 3/18 and then you would simplify it. 3/18=1/6

Keisha went into a park at 1:30 pm she hiked for 1 hour 35 minutes. Then she went to the picnic area for 45 minutes and left the park. What time did keisha leave the park?

Answers

Answer:

3:50pm

Time Keisha went to the park- 1:30pm

Time spent for hiking- 1hour 35 minutes

Time spent at the picnic area- 45 minutes

1: 30pm

+1. 35min

2: 65pm

But 60 minutes is 1 hour so the 65 will be changed to 1 hour 5 minutes making it

3: 05pm

3: 05pm

+0: 45min

3: 50pm

Hence the time Keisha left the park was 3:50pm

Final answer:

Keisha entered the park at 1:30 pm, hiked for 1 hour 35 minutes, and spent 45 minutes at the picnic area, which means she left the park at 3:50 pm.

Explanation:

The subject of this question is Mathematics, specifically addressing the concept of adding and subtracting measures of time. Keisha entered the park at 1:30 pm and spent 1 hour and 35 minutes hiking. To calculate the time after hiking, you add 1 hour and 35 minutes to 1:30 pm, which brings the time to 3:05 pm. She then spends 45 minutes at the picnic area, so you add 45 minutes to 3:05 pm. Hence, Keisha leaves the park at 3:50 pm.

which statement is true about the potential solutions to log3(2x^4 +8x^3) -3log3x =2log3x please help!

Answers

Answer:B

Step-by-step explanation:

Answer:

b. Only x = –2 is an extraneous solution.

Step-by-step explanation:

edge 2021

(:

A cylinder has a volume of 375 cubic centimeters. The radius of the cylinder is 12.5 centimeters. What is the approximate height of the cylinder? Use 3.14 for
π
.

A.
9.6 centimeters

B.
7.5 centimeters

C.
2.4 centimeters

D.
0.8 centimeters

Answers

Answer:

0.8 would be the approximate height

Step-by-step explanation:

you can make an equation and solve for the height (x)

375 = 3.14(12.5^2)x

when you solve this equation, you specifically get 0.76. but your question is asking for the approximate, so you would round it up to 0.8. hope this helps!

Answer:

D. 0.8

Step-by-step explanation:

The formula for finding the volume of cylinders is:

V= (pi)(r^2)(h)

r is the radius and h is the height. V is the volume.

plug in the values.

375 = (3.14)(12.5^2)(h)

375 = (3.14)(156.25)(h)

375 = 490.625 x h

Divide both sides of the equation by 490.625

0.7643... = h

round the decimal to the tenths place and get 0.8

Enter values for x and y in the table to plot points in the graph. Please help

Answers

Answer:

Step-by-step explanation:

Final answer:

To plot points on a graph, assign x-values to the x-coordinate and calculate the corresponding y-values using the equation y = x² + 2. Connect the points to graphically represent the dependence of y on x.

Explanation:

The given table contains the following points: (1,5), (2,10), (3,7), and (4,14). These points represent the values of x and y in the equation y = x² + 2. To plot these points on a graph, you can assign x-values to the x-coordinate and calculate the corresponding y-values using the equation. For example, when x=1, y = 1² + 2 = 3, so the point (1,3) can be plotted on the graph. By connecting all the points, you can graphically represent the dependence of y on x.

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Inspect the number line. Which square roots have a difference of about 0.5? StartRoot 11 EndRoot and StartRoot 14 EndRoot StartRoot 11 EndRoot and StartRoot 19 EndRoot StartRoot 14 EndRoot and StartRoot 19 EndRoot StartRoot 19 EndRoot and StartRoot 24 EndRoot

Answers

Answer:

d

Step-by-step explanation

just answered the question

Answer: D

Step-by-step explanation:

A swim team member performs a dive from a 14-foot-high springboard. The parabola below shows the path of her dive.

1- What is the initial height of the swimmer?

2- What is the max height of the dive?

3) What is the x-intercept ? Explain what does it represent?


3 questions needs to be answered please, any help?

Answers

The questions regarding swimmers position is required.

The initial height of the swimmer is 14 foot.

The max height of the dive is 23 foot.

The x intercept is [tex](8,0)[/tex]. This means she is at ground level.

Parabola

It is mentioned that the springboard is 14 foot high.

So, initial height of the swimmer is 14 foot.

The maximum height of the dive will be point of curve which is the highest in the [tex]y[/tex] axis.

That point is 23 foot.

The x intercept is the point where the parabola touches the [tex]x[/tex] axis.

Here that point is [tex](8,0)[/tex]

This means that the diver is at ground level but she traveled a horizontal distance of 8 feet.

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Maria has 14 pencils, Ted has 9 pencils, Tom has 12, pencils, Lucinda has 13 pencils, so that they all have the same amount? How many pencils should each person have?

Answers

Answer:

"If they add all of the pencils together and then divided by how many of them there, which is 60/5, we can that there will be 12 pencils given to each person."

"Sample Response: Maria should give away 2 pencils. Ted should get 3 pencils. Lucinda should give away 1 pencil. Everyone should have 12 pencils. "

Check all that you included in your response.

Maria should give away 2 pencils.

Ted should get 3 pencils.

Lucinda should give away 1 pencil.

Everyone should have 12 pencils.

Step-by-step explanation:

Which relation is NOT a function?


Help ASAP

Answers

Answer:b

b

Step-by-step explanation:

tell me if you got it right.

olve these story problems.
Mr. Wilcox drove 459 miles at the aver-
age speed of 51 miles per hour. How
many hours did it take him to reach his
destination?​

Answers

Step-by-step explanation:

Simple

Speed of 1 hour = 51 miles

Total miles = 459

459 ÷ 51 = 9

It will take 9 hours for him to reach his destination

A small university enrolls in-state and out-of-state students. Enrolled in their most recent freshman class was 243. The school reported that it enrolled seven in-state students for every two out-of-state students. How many of each type of student was enrolled in the freshman class?

Answers

There were 189 in-state students and 54 out of state students.

Total number of students = 243

Number of In-state students will be:

= 7/(7+2) × 243

= 7/9 × 243

= 189

Number of Out of states students will be:

= 2/(7+2) × 243

= 2/9 × 243

= 54

Therefore, there were 189 in-state students and 54 out of state students.

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Jane earns money walking dogs on the weekends. Jane charges $5 dollar sign, 5 for each dog she walks.
Complete the table for the given ratio.
Dogs, x Charge in dollars, y
1 5
3 ?
5 ?
FIND OUT THE QUESTION MARK

Answers

Answer:

3 x 5 is 15 so it would be 3:15

5 x 5 is 25 so it would be 5:25

Step-by-step explanation:

Just multiply by 5 for each one

3 x 5 is 15 so it would be 3:15

5 x 5 is 25 so it would be 5:25

I need help with this ASAP please!!! Also, please EXPLAIN how to do it instead of just saying the answer. Thanks!

Answers

The whole shape is a quadrilateral so total internal angle is 360 degrees. There are 2 right angles so -180 degrees. The final 2 angles must add to 180 degrees.

Let PKH and GKP = y

GPK + KPH = GPH = 32x + 20

KPH + PKH = 90 because KHP = 90 degrees and a triangle has 180 degrees.

Lower triangle:
14x + 15 + y = 90
14x + y = 75

Whole quadrilateral:
360 - 180 = 180, angle of remaining two angles which aren’t right angles.

GPH + GKH = 180
32x + 20 + 2y = 180
32x + 2y = 160
16x + 2y = 80

14x + y = 75 — y = 75 - 14x
16x + y = 80

Substitute y = 75 - 14x into 16x + y = 80
16x + 75 - 14x = 80
2x = 5
x = 2.5

Substitute x = 2.5 into 16x + y = 80
16(2.5) + y = 80
40 + y = 80
y = 40

Test x and y with lower triangle
14x + 15 + y + 90 should equal 180
14(2.5) + 15 + 40 + 90 = 180
35 + 15 +40 + 90 = 180

It’s true: x = 2.5

KPH = 14x + 15
14(2.5) + 15
= 50 degrees

Tyler borrowed $2,000 at an 11.5% simple interest rate. What is the total amount Tyler will pay back at the end of 5 years?​

Answers

Answer: $3,150.00

Step-by-step explanation:

[tex]Formula: A=P(1+rt)[/tex]

Where;

A = amount

P = principal ($2,000)

r = rate (11.5% or 0.115)

t = time (5 years)

Plug this into the formula

[tex]A=(2000)(1+(0.115)(5))\\A=(2000)(1+0.575)\\A=(2000)(1.575)\\A=3150[/tex]

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