The length of a rectangle is 12 units longer than the width. The perimeter is 7 times the width. Find the length and the width of the rectangle?

You have to divide 27 by 15 to get your answer

Answer:

The Correct answer to this question for Penn Foster Students is: 214.4 J

Step-by-step explanation:

Answer:

For Ajay , [tex]y=200x+325[/tex]

For Tory, [tex]y=250x[/tex]

Step-by-step explanation:

Formula to find distance = rate × time

Rate of Ajay = 200

Rate of Tory = 250

In x minutes

Distance travelled by Ajay = 200 ×x = 200x

Distance travelled by Tory = 250 ×x = 250x

But Ajay was already ahead by 350 meters.

So for Ajay, the distance y traveled in x minutes

[tex]y=200x+375[/tex]

For Tory

[tex]y=250x[/tex]

Answer:

The rates are:

Ajay : 200

Tory : 250

I assume those are in meters per minute.

Now, we suppose that Ajay began the trail 325 meters ahead, so if we put the zero in Tory position, we got:

Ajay position = 325 meters + 200*x meters

Tory position = 250*x meters

Where x is the number of minutes after they started to bike.

From this, we can compare their positions, and see in which minute x Tory position and Ajay position are the same.

325 + 200x = 250x

325 = 250x - 200x = 50x

x = 325/50 = 6.5 minutes.

So before of x = 6.5 minutes, Ajay is ahead. After x =6,5 minutes, Tory is ahead.

the first answer is correct

In one year there are 365 days of 24 hours. Each hour has 60 minutes and each minute is 60 seconds long. So, 60s/min x 60 min/hr x 24hr/day x 365 days equals 31,536,000s.

Hope this helps you with your answer. If it is incorrect, then I am sorry.

I'm going to do this in meters which will turn into km. which you can then convert into miles.

The speed of light is 2.998 * 10 ^8 meters /second

2.998*10^8m/s[3600 s/hr]*[24 hrs/day]*[365 days/year]

2.998*10^8 * 3600 * 24 * 365 = 9.45*10^15 m/year

9.45*10^15 m/year / 1000 m/km = 9.45 * 10^12 km/year

If you want miles, just divide this number by 1.6

9.45 * 10^12 / 1.6 = 5.91 * 10^12 miles / year. When you google this, the answer they give is 5.87 * 10^12 miles / yr. The difference is in where you round, the use of an approximate 1.6 and the length of a year.

Answer:

Max is currently 12 years old.

Step-by-step explanation:

Zeke's current age = 8 years

Lets take Max's current age as [tex]x[/tex] years.

Then Max's age 3 years ago = [tex]x-3[/tex]

Double Max's age 3 years ago = [tex]2*(x-3)[/tex]

Double Max's age 3 years ago + Zee's current age = 26

⇒ [tex]2*(x-3)[/tex] + [tex]8[/tex] = [tex]26[/tex]

=[tex]2*(x-3)+8=26[/tex]

=[tex]2x-6+8=26[/tex] (Simplifying the brackets)

=[tex]2x+2=26[/tex]

=[tex]2x+2-2=26-2[/tex][tex]2x=24

=[/tex][tex]x=12[/tex]

So Max's current age is 12 years.

Answer:

-3x+8

Step-by-step explanation:

-x is the same as -1x

-2x plus -x is 3x

8 stays the same

Miguel rode his bike 20 miles in 2.5 hours

(1)Starting information is , In 2,5 hours Miguel traveled 20 miles

(2)Now we complete the table

In 2,5 hours distance traveled = 20 miles

So in 1 hour distance traveled = [tex]\frac{20}{2.5} =8 miles per hour[/tex]

Time             0   0.5       1         1.5       2        2.5

Distance       0    4         8         12       16         20

(3) The graph is attached below

(4) Equation y = kx

y is the distance

x is the time

Distance = k (time)

We know speed is 8 miles per hour

So k is 8

y = 8k is the final equation

(5) k is the constant of proportionality

the value of k= 8

so 8 is the constant of proportionality.

Answer:

Step-by-step explanation:

1). Miguel rode his bike 20 miles in 2.5 hours.

2). Since Miguel rode his bike with the speed = [tex]\frac{20}{2.5}=8[/tex] miles per hour

So the table will be

Time          0       0.5      1       1.5        2       2.5

Distance    0        4        8       12       16       20    

3). Graph for the given equation is attached.

4). Since y = kx represents the situation then for Distance y = 4 miles in time x = 0.5 hours

4 = k(0.5)

k = [tex]\frac{4}{0.5}=8[/tex]

Therefore, equation will be y = 8x.

5). Since y = kx

⇒ k = [tex]\frac{y}{x}[/tex]

Proportionality constant k represents the speed of Migual.

Answer:

3d = 51 is the desired equation; its solution is d = 17.

Step-by-step explanation:

Let d represent Diego's score.  Then 3d = 51, or d = 17.

"51 is the product of Diego's score and 3" is written as 51=3x. We know this because "is" means "=", and "the product of" means multiplication. Since "Diego's score" is unknown, it would be a number x (multiplied by 3 would make it 3x). The answer to this is 17, because 51/3=17. :)

Answer: 2 and -4

Step-by-step explanation:

tiffanyrenaew21 is not completely right. The correct answer would be 2 and -4. This is how you find your answer:

First you form an equation: |x-(-1)|=3

|x+1|=3 - - - - - - - - |x+1|=-3

Subtract 1 from both sides

x=2 - - - - - - - - - - x=-4

You will always have 2 answers as absolute value equations and inequalities can always be positive or negative. |positive or negative| = positive.

If |x|=-n, then there are no solutions, becuase absolute value can't be negative.

Final answer:

Frances will first have piano lessons, ballet lessons, and soccer on the 20th day as it is the least common multiple of the days she has each activity (4, 5, and 2 days respectively).

Explanation:

The student is asking about the day Frances will first have piano, ballet, and soccer activities all on the same day. This calls for finding the least common multiple (LCM) of the numbers representing the days on which she has each activity (every fourth, fifth, and second day).

Frances has piano lessons every fourth day, ballet every fifth day, and soccer every second day. To find the day when all three activities coincide, we need to calculate the LCM of 4, 5, and 2:

The first common multiple they all share is 20. Therefore, Frances will first have all three activities on the 20th day.

Note that when a number is to the power of 2, just multiply the number to itself once.

(-10)^2 = (-10)(-10)

(-10) x (-10) = 100

(Note that two negatives, when multiplied, will result in a positive answer)

100 is your answer

~Rise Above the Ordinary

Answer:

13

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

trust

Step 1. Divide both side by 16

100/16 = 6t - 13

Step 2. Dimplify 200/16 to 25/2

25/2 = 6t - 13

Step 3. Add 13 to both sides

25/2 + 13 = 6t

Step 4. Simplify 25/2 + 13 to 51/2

51/2 = 6t

Step 5. Divide both sides by 6

51/2/6 = t

Step 6. Simplify 51/2/6 to 51/2 * 6

51/2 * 6 = t

Step 7. Simplify 2 * 6 to 12

51/12 = t

Step 8. Simplify 51/12 to 17/4

17/4 = t

Step 9. Switch sides

t = 17/4

Remark

Let's just figure out what f(1) and f(3) are and what equation to use.

f(1)

f(1) is defined by the top condition. Look at the condition carefully. -3 ≤ x ≤ 1

So the value of f(1) is

(x + 1)² -1

(1 + 1)² - 1

2² - 1

4 - 1 = 3

f(3)

f(3)  is governed by the middle condition. 1 < x ≤ 3

The value of f(3) is  - x + 2 = - 3 + 2 = - 1

Conclusion

f(1) > f(3)

Comment

Both f(1) and f(3) are defined. You just have to look around to find out where. D is wrong.

We calculated both f(1) and f(3). f(1) is larger than f(3)  so that is your answer.

A dilation and a translation could have occurred to map [tex]{\Delta \;\text{ABC}}[/tex] to [tex]{\Delta \;\text{A''B''C''}}.[/tex]

Further Explanation:

Given:

The options are as follows,

(A). A dilation and a reflection

(B). A dilation and a translation

(C). A translation and a rotation

(D). A translation and a reflection

Explanation:

The reflection symmetry is defined as a line that divides the Figure into two equal parts.

Translation can be defined as to move the function to a certain displacement.

Rotation is defined as a movement around its own axis. A circular movement is a rotation.

A dilation and a translation could have occurred to map [tex]{\Delta \;\text{ABC}}[/tex] to [tex]{\Delta\; \text{A''B''C''}}.[/tex]

Option (a) is not correct.

Option (b) is correct.

Option (c) is not correct.

Option (d) is not correct.

Learn more:

Answer details:

Grade: High School

Subject: Mathematics

Chapter: Geometry

Keywords: sequence, similar, Transformation, reflection, dilation, rotation, translation, rigid, motion, rigid motions.

According to the Rational Root Theorem, the potential rational roots of the equation 9x^3 + 14x^2 - x + 18 = 0 are ±1/3 and ±3. The values ±1/8 and ±1/2 are not valid since their denominators are not factors of the leading coefficient, which is 9.

The possible rational roots of the polynomial equation 9x^3 + 14x^2 - x + 18 = 0 can be determined using the Rational Root Theorem. This theorem states that any rational solution, expressed in the form of a fraction p/q, where p is a factor of the constant term and q is a factor of the leading coefficient, must be among these possible roots.

The constant term in this equation is 18, and its factors are ±1, ±2, ±3, ±6, ±9, ±18. The leading coefficient is 9, with factors of ±1, ±3, ±9. According to the Rational Root Theorem, we take each factor of the constant term and divide by each factor of the leading coefficient to find the possible rational roots. Thus, the potential rational roots are ±1/1, ±1/3, ±1/9, ±2/1, ±2/3, ±2/9, ±3/1, ±3/3, ±3/9, and so forth, including their negative counterparts.

From the options provided in the question, the potential rational roots that fit the criteria set by the theorem are: ±1/3, and ±3. The other options, ±1/8, ±1/2, do not satisfy the theorem as their denominators are not factors of the leading coefficient.

https://brainly.com/question/31805524

#SPJ2

Start with congruencies of 130°:

∠1 and 130° are vertical angles

∠2 and 130° are corresponding angles

∠5 and 130° are alternate exterior angles

m∠1 = m∠2 = m∠5 = 130°

∠7 and 130° are supplementary angles (which means their sum is 180°). So, ∠7 = 50°

Next, find congruencies of ∠7:

∠3 and ∠7 are vertical angles

∠4 and ∠7 are corresponding angles

∠6 and ∠7 are alternate exterior angles

m∠3 = m∠4 = m∠6 = m∠7 = 50°

Answer: B

z and 100 are on the same line so the total is 180

180-100=z

80=z

Please give Brianest

The answer is choice D) Two rays that share the same endpoint

======================================

Here's a full breakdown of the four choices

A. False. If the ray and line aren't touching, then an angle can't be formed.

B. False. Parallel lines never cross. The same issue as before (in part A) comes up.

C. False. Again the rays need to meet up somehow.

D. True. If you have two rays that share the same endpoint, then they form an angle. Think of it like a pair of scissors. Each blade is a ray. The blades are joined at a common node to allow the blades to swing open or closed. You could have an angle formed by line segments or lines, but they would have to intersect in some way.

Option D. two rays that share the same endpoint, is correct.

An angle is formed by:
A. any ray and any line
B. parallel lines
C. any two rays
D. two rays that share the same endpoint

The angle can be defined as the one line inclined over other line.

When the line as same end points and
one of the line is inclined over other by some measure called as angle.

Thus the option D two rays that share the same endpoint is correct

Learn more about Angles here:
https://brainly.com/question/13954458

#SPJ2

Subtract the difference from the total, then divide by 2, that would be the age of the youngest, then add the difference to that for the age of the oldest.

37 - 5 = 32

32 / 2 = 16

The youngest is 16.

16 + 5 = 21

The oldest is 21.

The ages are 16 and 21.

Final answer:

The equation 7.5x + 20y = 900 can be solved for y by substituting different values for x to find three combinations that satisfy the equation: (0 hours, 45 lawns), (40 hours, 30 lawns), and (80 hours, 15 lawns).

Explanation:

The equation 7.5x + 20y = 900 models the relationship between the hours worked (x) and lawns mowed (y) for Jon to save up $900. To find combinations that result in $900, we can select different values for x or y and solve for the other variable.

These three combinations represent different ways Jon can work hours and mow lawns to reach his goal of saving $900.

Answer:

She would have to spend $168

Step-by-step explanation:

Step one:

Divide 28 by 8 to find out how much one individual notebook costs.

28/8 = $3.50

$3.50(a)

a = amount of notebooks bought

Now multiply it by how many she buys

$3.50(48) = $168

This means she spend $168 on 48 notebooks.

Let

x-------> the length of the rectangle

y------> the width of the rectangle

we know that

the perimeter of the rectangle is equal to

[tex]P=2x+2y[/tex]

[tex]P=190\ in[/tex]

so

[tex]2x+2y=190[/tex]------> equation A

[tex]y=4\ in[/tex] ------> equation B

substitute equation B in equation A

[tex]2x+2*4=190[/tex]

[tex]2x+8=190[/tex]

therefore

the answer is

[tex]2x+8=190[/tex]

A. 405,000

B. 450,000

C. 540,000

The answer is

T= 5j+s+2

t=5j+s+2. Your answer should be: t=5j+s+2.

Let's solve for t.

5j+s=t−2

Step 1: Flip the equation.

t−2=5j+s

Step 2: Add 2 to both sides.

t−2+2=5j+s+2

t=5j+s+2

Answer:

9 is your answer

Step-by-step explanation:

Remember to follow PEMDAS (Parenthesis, Exponents (& roots), Multiplication, Division, Addition, Subtraction). Remember to also follow the left -> right rule.

Solve:

8 - 2 x 3 + 7

First, Multiply -2 and 3 together

8 + (-2 x 3) + 7

8 - 6 + 7

Next, follow the left to right rule, subtract.

(8 - 6) + 7

(2) + 7

Finally, Add

2 + 7

9

9 is your answer

~

I'm pretty sure the answer would be 9

Best of luck, Hope this helps if I'm wrong I'm terribly sorry

~Animaljamissofab ♥

Remark

The best way to answer something like this is to actually graph both equations. I have done that for you below.

Red Line: f(x) = 1/4x - 1

Blue Line: g(x) = 1/2x - 2

Now look at the answers.

A: The first one is incorrect. You don't need the graph to tell you that. The larger the number in front of the x, the steeper the line. Put another way, the larger the slope, the steeper the line. The y intercept is lower however.

B is wrong. g(x) is steeper, but the y intercept is lower not higher than f(x) [Negatives do strange things].

C:The g(x) is steeper (we've said that a couple of times), and it has a lower y intercept.

D is correct.

E is just wrong. Both parts are incorrect.

Answer:

13.5 kgs.

Step-by-step explanation:

Here we have to find conversion factor of lbs into kg.

For this we use the given information.

Given that the weight of a dog is 20 lbs and also 9 kg.

Hence we have conversion factor as

20 lbs = 9 kg

Or 1 lb =9/20 = 0.45 kg.

Using this, we find the 30 lb converted into kg.

For 1 lb, equivalent kg = 0.45

Hence for 30 lbs equivalent kg= 30(0.45) = 13.5 kg.