The perimeter of a rectangle is 15x + 17y
If the length is 7/2x + 7y then find the width of the rectangle.
Answer choices:
A. 4x + 3/2y
B. 8x + 3y
C. 8x + 10y
D. 4x + 3y

The Perimeter Of A Rectangle Is 15x + 17y If The Length Is 7/2x + 7y Then Find The Width Of The Rectangle.

Answers

Answer 1
Final answer:

The width of the rectangle, given its perimeter and length, is calculated using the formula for the perimeter of a rectangle. By reorganizing the terms and isolating the width, we find that the width is 4x + 3/2y, which is Answer Choice A.

Explanation:

The perimeter of a rectangle is given as 15x + 17y. The length is provided as 7/2x + 7y. To find the width, we need to remember that the perimeter of a rectangle is twice the sum of its length and width (P = 2l + 2w). Let's denote the width of the rectangle as 'w'.

So, the equation representing the perimeter is:

15x + 17y = 2(7/2x + 7y) + 2w

Now let's multiply out the factors on the right side:

15x + 17y = 2(7/2x) + 2(7y) + 2w

15x + 17y = 7x + 14y + 2w

To find 'w', we need to move all terms involving 'w' to one side of the equation and all other terms to the other side:

2w = 15x + 17y - (7x + 14y)

2w = 15x - 7x + 17y - 14y

2w = 8x + 3y

Divide throughout by 2 to find 'w':

w = 4x + 3/2y

The width of the rectangle is 4x + 3/2y, which corresponds to Answer Choice A.


Related Questions

Order the numbers from greatest to least.
332 233 323

Answers

Answer:

Step-by-step explanation:

332 323 233

Answer:

233, 323, 332.

Step-by-step explanation:

Starting from 200 and count by 10 (200, 210, 220, 230.) 233 is the smallest number, repeat with each number.

How many soution does this system have ?
Y=3/4x-5
-3x+4y=-20

Answers

Answer:

There is no solution

Step-by-step explanation:

1. y = 3/4x - 5

2. -3x + 4y = -20

-3x + 4(3/4x - 5) = -20

-3x + 3x - 20 = - 20

-20 = -20

you pick a card at random what is p(3 or even)

Answers

Final answer:

The probability of drawing a 3 or an even card from a 52-card deck is calculated by adding the probability of drawing a 3 (1/13) and the probability of drawing an even card (5/13), resulting in a total probability of 6/13.

Explanation:

In a standard 52-card deck, there are four 3's and twenty even cards (2, 4, 6, 8, 10 in each of four suits: hearts, diamonds, clubs, and spades). Therefore, the probability, p, of drawing a 3 or an even card is calculated by adding the probabilities of these two independent events.

First, calculate the probability of drawing a 3: P(3) = 4/52 = 1/13, as there are 4 cards with a 3 and 52 total cards.

Next, calculate the probability of drawing an even card: P(even) = 20/52 = 5/13, because there are twenty even cards in the deck.

Finally, add these probabilities: p(3 or even) = p(3) + p(even) = 1/13 + 5/13 = 6/13.

Note: We can add these probabilities directly because these are mutually exclusive events -- a card cannot simultaneously be a 3 and an even number.

Learn more about Probability here:

https://brainly.com/question/32117953

#SPJ12

Is -2 1/6 greater or less than -2 5/6

Answers

Answer: -2 1/6 is greater than -2 5/6

Step-by-step explanation:

To know the greater value, convert the mixed fraction to a decimal, this gives:

-2 1/6 = -2.1667

-2 5/6 = -2.833

Please note that a less negative number is always greater than a more negative number.

-2.1667 is greater than -2.833

Therefore, -2 1/6 is greater than -2 5/6

I hope this helps, thank you.

Please Help, it’s needed.

Answers

Answer:

A: She earns 10 dollers per houer

B: x*2=y

Step-by-step explanation:

Answer:

Step-by-step explanation:

Manuela makes 10 dollar for each hour she/he works.

Every number the line goes through the multiple of 10. (Ex. 2, 4, 6, 8, are all met up with 20, 40, 60, 80 on the Y axis.)

The Tran family uses up a 1/2 gallon jug milk every 3 days. At what rate do the drink milk

Answers

Answer: 1/6 of a gallon per day

Step-by-step explanation: divide 1/2 by 3 and you get 1/6 .

The Tran family drinks milk at a rate of 1/6 gallon per day.

To find the rate at which the Tran family drinks milk, we can calculate the amount of milk consumed per day. First, determine how much milk they consume in 3 days: 1/2 gallon every 3 days. To find the daily consumption, divide the amount consumed in 3 days by 3:

\[\frac{1/2}{3} = \frac{1}{6} \text{ gallons per day}.\]

This means the Tran family drinks 1/6 of a gallon of milk every day. To express this rate in a more common unit, there are 128 ounces in a gallon. Therefore, the Tran family drinks:

\[\frac{1}{6} \times 128 = 21.\overline{3} \text{ ounces of milk per day}.\]

So, the Tran family drinks milk at a rate of approximately \(21.\overline{3}\) ounces per day.

For more about Rate of Milk Consumption:

https://brainly.com/question/35061004

#SPJ3

88+(-39)
show how you got the answer please

Answers

Answer:

49

Step-by-step explanation:

88+(-39) is the same as 88-39 given the distributive property, so 88-39=49

Given the point A(-3,-2) and B(6, 1), find the coordinates of the point P on directed line segment AB that partitions AB in the ratio 2:1.

Answers

Answer:

P: (3,0)

Step-by-step explanation:

AB = (9,3)

⅔(9,3) = (6,2)

(-3,-2) + (6,2) = (3,0)

the coordinates of the point P on directed line segment AB that partitions AB in the ratio 2:1 is (3,0).

What is the ratio formula for line segment?

P=(mx2​+nx1/m+n​​,my2​+ny1/m+n​​).

The formula can be derived by constructing two similar right triangles, as shown below. Their hypotenuses are along the line segment and are in the ratio m : n m:n m:n.

Here, given that,

Given the point A(-3,-2) and B(6, 1),

Let, (x.y) is the coordinates of the point P on directed line segment AB that partitions AB in the ratio 2:1.

Using the formula we get,

(x,y) = (nx1 + mx2)/(m + n) , (ny1 + my2)/(m + n)

P=(3,0)

hence, the coordinates of the point P on directed line segment AB that partitions AB in the ratio 2:1 is (3,0).

To learn more on ratio formula for line segment click:

https://brainly.com/question/19339816

#SPJ3

Can someone please help me ?

Answers

Answer:

The first picture will have a solution a (3,4)

The second will have no solutions

The third picture will have a solution at (-4,-3)

Step-by-step explanation:

The solution is when the lines intersect you can tell in the first and third picture when they will and the second picture has parrell lines meaning they will never intersect

Yeah what he said and messeng me if you need help

A conical glass flower vase has a base that is 6 inches in diameter and a vase that holds approximately 113 in.³ of water what is the height of the vase?

Answers

Final answer:

To find the height of the vase, use the formula for the volume of a cone (V = (1/3)πr^2h) and solve for h. Given the base diameter and the volume of the vase, substitute the values into the formula to find the height. The height of the vase is approximately 4 inches.

Explanation:

To find the height of the vase, we can use the formula for the volume of a cone which is V = (1/3)πr^2h, where V is the volume, r is the radius of the base, and h is the height. Given that the base of the vase has a diameter of 6 inches, the radius is half the diameter, which is 3 inches. We also know that the volume of the vase is approximately 113 in.³. We can substitute these values into the formula to find the height:

V = (1/3)π(3^2)h

113 = (1/3)π(9)h

113 = (3/3)π(9)h

113 = (π)(9)h

h = 113 / (π)(9)

h ≈ 4 inches

Therefore, the height of the vase is approximately 4 inches.

A triangle with an area of 3 mm squared is dilated by a factor of 6. What is the area of the dilated triangle?

Answers

By definition, the area of a triangle is given by:

 A = (1/2) * (b) * (h)

 Where,

 b: base

 h: height

 The area of the original triangle is 3 mm² and is dilated by a factor of 6. We have then

 A = (1/2) * (6b) * (6h)

 A = (1/2) * (b) * (h) * (6) * (6)

 A = 3 * (6) * (6)

 A = 108 mm²

 answer

 The area of the dilated triangle is 108 mm²

When a triangle with an original area of 3 mm squared is dilated by a factor of 6, the new area is found by multiplying the original area by the square of the dilation factor. This results in a new area of 108 mm squared.

The question asks about the effect of dilation on the area of a triangle. Specifically, it asks for the new area if a triangle with an original area of 3 mm² is dilated by a factor of 6. When dealing with dilation, the area of a shape changes by the square of the dilation factor. This means that if the dilation factor is 6, the new area will be 62 times the original area. This calculation can be performed as follows:

Original area = 3 mm²

Dilation factor = 6

New area = Original area × (Dilation factor)2 = 3 mm² × 62

New area = 3 mm² × 36 = 108 mm2

Therefore, the area of the dilated triangle is 108 mm²

Mischa wrote, “Anderson has ten trading cards. He gives some to Desai.” This describes a possible context for the expression x minus 10. Which explains the accuracy of what Mischa wrote?

Answers

Answer:

It is inaccurate. Her words translate to 10 minus x

Step-by-step explanation

she minuses x and gives it to desai

It is not correct. Her words translate to 10 minus x

Given that,

Mischa wrote, “Anderson has ten trading cards. He gives some to Desai.”

Information regarding context:Since anderson does have 10 trading cards, So here the context should be that it minuses x and then it provides to the desai.The given context mentioned in the question is wrong.

Learn more about the expression here: https://brainly.com/question/13947055?referrer=searchResults

The coefficient of 9(14)P is
09
14
126

Answers

Answer:

126

Step-by-step explanation:

The coefficient of 9(14)P = 9*14 = 126

Help with #15, please show all work, will mark brainliest!

Answers

Measure of ∠B is 110°

Step-by-step explanation:

Step 1: Find ∠B of the parallelogram.

In a parallelogram, opposite angles are equal.

⇒ ∠B = ∠D

∠B = (5x + 10)°

Step 2: Use theorems of quadrilaterals to form equations to find x and y.

Now, angles in a parallelogram are equal to 360°.

⇒ ∠A + ∠B + ∠C + ∠D = 360°

⇒ (3x + y)° + (5x + 10)° + (5y + 20)° + (5x + 10)° = 360°

⇒ 13x + 6y + 40° = 360°

⇒ 13x + 6y = 320°  ------ (1)

Also, adjacent angles in a parallelogram are supplementary.

⇒ ∠A + ∠D = 180°

⇒ (3x + y)° + (5x + 10)° = 180°

⇒ 8x + y = 170° ----------- (2)

Step 3: Solve the 2 equations to find x and y.

13x + 6y = 320

48x + 6y = 1020  (After multiplying eq. 2 with 6 to make coefficients equal)

Subtract (2) from (1)

⇒ -35x = -700

∴ x = 20

⇒ (5x + 10)° = 100 + 10 = 110°

Answer:

110°

Step-by-step explanation:

Angle A = Angle C

3x + y = 5y + 20

3x = 4y + 20

Angle C + Angle D = 180

5y + 20 + 5x + 10 = 180

5x + 5y = 150

x + y = 30

x = 30 - y

3(30 - y) = 4y + 20

90 - 3y = 4y + 20

7y = 70

y = 10

x = 30 - 10

x = 20

Angle B = Angle D

= 5(20) + 10

= 110°

Line with a slope of -4 and y intercept of -3

Answers

Answer:

y = -4x - 3

Step-by-step explanation:

Step 1:  Plug into slope-intercept form

y = mx + b

y = (-4)x + (-3)

y = -4x - 3

Answer:  y = -4x - 3

The perimeter of a triangle below is 58 units. Find the value y

Answers

Answer:

1

Step-by-step explanation:

The blue line and the yellow line trains just arrived at the station.
When will they next arrive at the station at the same time?
Blue arrives very 10 minutes and yellow arrives every 12 minutes

Answers

Answer:

After 60 minutes. Least common multiple I think is the reason

Step-by-step explanation:

Kyle has $4 more than twice as much money as Lana. Lana has x dollars. Kyle does not
have enough money to buy a video game that costs $56, but he has enough money to buy a
textbook that costs $38.
Part A: Write a compound inequality that represents all the possible amounts of money Kyle
could have in terms ofx.
A. 2x + 4 S 56
B. 2x + 4 > 38
C. 38 < 2x + 4 5 56
D. 38 5 2x + 4 < 56
2.19.
Part B: What is the least amount of money Lana could have?
A. 17
B. 18
C. 21

Answers

part a - b

part b- a

so ya thats all

The compound inequality that represents all the possible amounts of money Kyle could have in terms of x are :

4 + 2x < 56

4 + 2x ≥ 38

The least amount of money Lana could have is 17 dollars

How to write a compound inequality ?

Lana has x dollars.

Therefore,

Lana money = x  dollars

Kyle has $4 more than twice as much money as Lana.

Kyles money = 4 + 2x

Kyle does not have enough money to buy a video game that costs $56, but he has enough money to buy a textbook that costs $38.

Therefore,

4 + 2x < 56

4 + 2x ≥ 38

Hence, the least amount of money Lana could have is as follow:

4 + 2(17) ≥ 38

4 + 34 ≥ 38

learn more on inequality here: https://brainly.com/question/822179

#SPJ2

True or False: If you shift one of the lines incorrectly and the other correctly, you will receive credit for the correctly shifted line. True

Answers

Final answer:

In logic and truth tables, shifting one line correctly while the other is shifted incorrectly will result in credit for the correctly shifted line.

Explanation:

True or False: If you shift one of the lines incorrectly and the other correctly, you will receive credit for the correctly shifted line. True

The statement is true in the context of logic and truth tables. When dealing with truth tables and logical operations, if one line is shifted correctly and the other incorrectly, credit is given for the line that was correctly shifted.

6 less than the product of 8 and a
number n is 34

Answers

Answer:

8n-6 = 34

Step-by-step explanation:

6 less than the product of 8 and a  number n is 34

less than means subtract from the next thing

 -6

product means multiply

8n

Now we have 8n-6

is means equals

8n-6 = 34

the value of n is 5.

Step-by-step explanation:

Given,

6 less than the product of 8 and a  number n is 34

To find the value of n

According to the problem,

n×8 - 6 = 34

or, 8n = 34+6

or, 8n = 40

or, n = 40÷8

or, n= 5

Hence, the value of n is 5.

In Practing Partial Products Multiplictaion What im Going to do to 65 × 32 ?​

Answers

Answer:

2080

Step-by-step explanation:

Step 1:  Multiply

65 × 32

60*30 + 60*2 + 5*30 + 5*2

1800 + 120 + 150 + 10

2080

Answer:  2080

Answer:

2080

Step-by-step explanation:

10+20= answer and explanation please​

Answers

Answer:is 30

Step-by-step explanation:

So u can say 5+5=10, well if the answer is 10 then 10+10= 20 and then if u add 10 to 20 you will get 30

Last year, 2376 people attended a summer music festival. This year the attendance was 2950. What was the percent of change in attendance to the nearest whole percent?

Answers

24% is this the answer you were looking for
Final answer:

The percent change in attendance from last year to this year is approximately 24% after rounding to the nearest whole percent.

Explanation:

To calculate the percent change in attendance, you can use the formula for percent change which is (new value - original value)/original value × 100%.

Last year, the attendance was 2376 people, and this year, it increased to 2950 people. Let's plug these numbers into the formula to find the percent change:

(2950 - 2376)/2376 × 100% = 574/2376 × 100% ≈ 24.16%.

When we round to the nearest whole percent, the percent change in attendance is approximately 24%.

Wendy is deciding which summer job she should take.The two different pay options she may choose from are either $62 per day or $304 per week.Which is the best deal for Wendy?

Answers

Answer:

$62 per day

Step-by-step explanation:

$62 a day equals $434 a week witch turns out to be $22,568 a year

$304 a week equals $15,808 a year

62 per day because of your multiple $62 times 7(the number of days of the week) it is 434 and that’s more then 304

What is the value of x?
30
45
(3x)
55
-20

Answers

Answer:45 Degrees

Step-by-step explanation:

3x+x= 180

4x=180

x=45 Degrees.

Write an exponential function in the form of y=ab^x that goes through points (0,6) and (2,96)

Answers

Final answer:

The exponential function that goes through the points (0,6) and (2,96) is y = 6 * 4^x, where 6 is the initial value (a) and 4 is the base growth rate (b).

Explanation:

The student is asking for an exponential function in the form y = ab^x that passes through the points (0,6) and (2,96).

To find this function, we must determine the values of 'a' and 'b'. Since the function passes through the point (0,6), if we substitute x = 0, we get y = a * b^0. Since any number raised to the power of 0 is 1, it simplifies to y = a. Therefore, a = 6.

Next, we substitute the second point (2,96) into the original equation with our known value for 'a': 96 = 6 * b^2. To solve for 'b', we divide both sides of the equation by 6, resulting in 16 = b^2. Finding the positive square root of 16 gives us b = 4.

Therefore, the exponential function is y = 6 * 4^x.

The exponential function that goes through the points [tex]\((0, 6)\)[/tex] and [tex]\((2, 96)\)[/tex] is [tex]y = 6 \times 4^x[/tex]

To find the exponential function in the form [tex]\( y = ab^x \)[/tex] that goes through the points [tex]\((0, 6)\)[/tex] and [tex]\((2, 96)\)[/tex], we need to determine the values of [tex]\(a\)[/tex] and [tex]\(b\)[/tex].

1. Use the point [tex]\((0, 6)\)[/tex]

When [tex]\( x = 0 \), \( y = 6 \).[/tex]

[tex]\[6 = ab^0\][/tex]

Since [tex]\( b^0 = 1 \)[/tex]

[tex]\[6 = a \times 1\][/tex]

Therefore, [tex]\( a = 6 \).[/tex]

2. Use the point [tex]\((2, 96)\)[/tex]

When [tex]\( x = 2 \), \( y = 96 \)[/tex]

[tex]\[96 = 6b^2\][/tex]

Solving for [tex]\( b^2 \)[/tex]

[tex]\[b^2 = \frac{96}{6} = 16\][/tex]

Taking the square root of both sides:

[tex]\[b = 4\][/tex]

Thus, the exponential function is:

[tex]\[y = 6 \times 4^x\][/tex]

To verify, we can check both points:

For [tex]\((0, 6)\)[/tex]

[tex]\[y = 6 \times 4^0 = 6 \times 1 = 6\][/tex]

For [tex]\((2, 96)\)[/tex]

[tex]\[y = 6 \times 4^2 = 6 \times 16 = 96\][/tex]

What is the solution to the problem 2y+3=4y+2

Answers

Answer:

y = 1/2

Step-by-step explanation:

Step 1:  Solve for y

2y + 3 = 4y + 2

2y + 3 - 2 - 2y = 4y + 2 - 2 - 2y

1 / 2 = 2y / 2

1/2 = y

Answer:  y = 1/2

Step-by-step explanation:

2y + 3 = 4y + 2

-2y + 3 = 2

-2y = -1

2y = 1

y = 1/2

y = 0.5

Felix scored an 80% on his last test. He missed five problems. How many problems were on the test?

Answers

Answer:

25 Questions

Step-by-step explanation:

100% - 80% = 20%

20/5 = 4

Each question is worth 4 points.

100/4 = 25

if you multiply 4 points by 25 questions you get 100 points or 100%.

Hope it helps : )

how do you solve -10+2y=7

Answers

Answer

y = [tex]\frac{17}{2}[/tex]

Step-by-step explanation:

-10 + 2y = 7

Add 10 to both sides of the equation

2y = 7 + 10

Add 7 and 10

2y = 17

divide each term in 2y=17 by 2

[tex]\frac{2y }{2} = \frac{17}{2}[/tex]

Divide y by 7

y = [tex]\frac{17}{2}[/tex]

Hope this helps

The cafeteria director at Great Minds School wants to know what percent of the students would choose vegetarian entrees if they were available. Which of the following survey methods will allow the director to make a valid conclusion about the percentage of students who would choose vegetarian entrees?

Answers

Answer:

Sort a list of the students into a random order, then ask the first 353535 students on the list.

Step-by-step explanation:

Answer:

Sort a list of the students into a random order, then ask the first 353535 students on the list.

Other Questions
Character pieces are by definitionA. based on real people.B. funny.C. short.D. complicated. Acceptable documents verifying legal eligibility to work include all of the following except:_______. A. Hide Feedback Incorrect B. Check My Work C. Feedback Immigration Law 3. D. Individuals with H-1B visas can stay in the United States for____to____years and can work only for the sponsoring employer. which statement best describes the relation (3, 4), (4, 3), (6, 3), (7, 8), (5, 4)? Question 2 options: The relation represents y as a function of x, because each value of x is associated with a single value of y. The relation represents y as a function of x, because one value of y is associated with two values of x. The relation does not represent y as a function of x, because each value of y is associated with two values of x. The relation does not represent y as a function of x, because each value of x is associated with a single value of y. A rose garden is going to be built in the city park in the shape of a parallelogram with a rectangular walkway through it. The garden region is shown below. There will not be roes in the walkway. Find the total area where roes will be planted. Show your work. I could really use some help right now. I have been trying to do this for a few hours and still can't seem to find the right answer. If someone could please help me out it would mean a lot to me. A survey of 550 male managers and 650 female managers was conducted. All 1,200 managers identified whether, for each of six characteristics, the characteristic is important to consider when hiring a new employee. For each of the six characteristics, the percent of managers surveyed who identified that characteristic as important to consider is given in the following table. SURVEY RESULTSCharacteristic Percent Work Experience 72%Proficiency in English 68%Ability to Follow Directions 65%Specific Occupational Skill 60%Computer Expertise 58%Appropriate Attire and Behaviour 55%The number of managers surveyed who identified work experience as an important characteristic to consider was approximately what percent greater than the number who identified appropriate attire and behavior as an important characteristic to consider?A. 15%B. 20%C. 25%D. 30%E. 35% What do you think might be the evolutionary benefit of the milk production regulation mechanism in breastfeeding? Few students manage to complete their schooling without taking a standardized admissions test such as the Scholastic Achievement Test, or SAT (used for admission to college); the Law School Admissions Test, or LSAT; and the Graduate Record Exam, or GRE (used for admission to graduate school). Sometimes, these multiple-choice tests discourage guessing by subtracting points for wrong answers. In particular, a correct answer will be worth +1 point, and an incorrect answer on a question with five listed answers (a through e) will be worth 1/4 points.What is the expected value of eliminating one answer and guessing among the remaining four possible answers?What is the expected value of eliminating three answers and guessing between the remaining two possible answers? A city will serve as a conduit for federal grant money, which is sent to the city by the state government and must be remitted to various not-for-profit organizations that will use the money. The ultimate allocation of the money is decided by the state government. Which of the following terms describes the nature of this grant?(A) Agency grant(B) Fiduciary grant(C) Pass-through grant(D) Partial Grant Which technique provides a smooth transition from acceleration to braking? Dome Metals has credit sales of $180,000yearly with credit terms of net 60 days, which is also the average collection period. Dome does not offer a discount for early payment, so its customers take the full 60 dys to pay. What is the average receivables balance? Receivables turnover? 4.00 g of sodium and 2.00 g of oxygen react according to the following balanced equation 4 Na + O2 2 Na2O Calculate the mass of Na2O that can be produced by this reaction What is the indirect -21 is a number b divided by 3minus 5. what does quadratic function? Which is a symbiotic relationship? SC.7.L.17.2A. a hawk eating a mouseB.a fish laying eggs in a stream C.a mistletoe plant living on a treeD.a plant using sunlight to ake food Like most characteristics of a population, WAIS-IV scores are distributed in a bell or normal curve. Which of the following is an accurate characteristic of those types of curves? Group of answer choices Scores are clumped around the midpoint. Scores are more common at the ends of the distribution. Scores are evenly distributed across the population. The curve resembles an "S." Infrasounds _____.can be used to view internal organsare sounds with frequencies below 20 Hzare sounds with frequencies above 20,000 Hztravel in transverse waves A dishwasher has a mean life of 12 years with an estimated standard deviation of 1.25 years ("Appliance life expectancy," 2013). Assume the life of a dishwasher is normally distributed. Find the number of years that the bottom 25% of dishwasher would last. True or false. Pure forms of chemical agents can be colorless and odorless, making them harder to detect. This is a disadvantage to terrorists