The equation 22 = 2y + x represents the perimeter of a flower garden with
length y (in feet) and width x (in feet). Solve for y. Then find the length of the
flower bed when the width is 2 feet, 3 feet, and 4 feet.

Answers

Answer 1

Answer:

[tex]y =  \frac{22-x}{2}[/tex]

For width = 2 ft, the length of the flower bed = 10 ft.

For width = 3 ft, the length of the flower bed = 9.5 ft.

For width = 4 ft, the length of the flower bed = 9 ft.

Step-by-step explanation:

Here, the Perimeter of the flower garden is given as

22 = 2 y + x

: where, y : Length of the garden

and x : Width of the garden .

Now, solving for y in the above expression,we get

22 = 2 y + x  ⇒    22 - x = 2 y

or, [tex]y =  \frac{22-x}{2}[/tex]

Now, when the width (x) = 2 feet

Length of the flower  bed [tex]y =  \frac{22-x}{2}  = \frac{22-2}{2}  = \frac{20}{2}  = 10[/tex]

or, x = 10 ft

For, the width = 2 ft, the length of the flower bed = 10 ft.

when the width (x) = 3 feet

Length of the flower  bed [tex]y =  \frac{22-x}{2}  = \frac{22-3}{2}  = \frac{19}{2}  = 9.5[/tex]

or, x = 9.5 ft

For, the width = 3 ft, the length of the flower bed = 9.5 ft.

when the width (x) = 4 feet

Length of the flower  bed [tex]y =  \frac{22-x}{2}  = \frac{22-4}{2}  = \frac{18}{2}  = 9[/tex]

or, x = 9 ft

For, the width = 4 ft, the length of the flower bed = 9 ft.


Related Questions

Which fraction is equal to one third 7/21 , 6/9 or 13/33

Answers

Answer:

7/21

Step-by-step explanation:

1/3 = 0.333333

7/21 = 0.3333333

Answer:

The 7/21

Step-by-step explanation:

You can simply it by dividing the 7 by 7 which equals 1 and the 21/7 equals 3 so that means it equals 1/3

NEED SMART STUDENT PLEASEE​

Answers

PLEASE MARK BRAINLIEST!

Answer:

All triangles equal up to 180⁰. With that in mind, let's solve

Step-by-step explanation:

x + 124⁰ + 33⁰ = 180⁰

    \_______/

x    +   157⁰      = 180⁰

      -   157⁰         -157⁰

    _______   ______

x                      =   23⁰

x = 23

The bolded part is your answer. I hope this helps!

Answer:

The x is equal to 23°.

Step-by-step explanation:

Because any triangle's three angles add up to 180°, all you have to do is add the other two angles together and subtract that sum from 180.

180 - (124 + 33) = 23°

Hope this helps,

A.W.E.S.W.A.N.

(P.S. You can give 5accsdeletedalready Brainliest, you need either 2 people to be able to choose Brainliest or you have to wait until the next day.)

Divide ..............

Answers

The quotient is: 4a-5

The remainder is: 0

Step-by-step explanation:

We need to divide -40a^6+50a^5 by -10a^5

The division is shown in figure attached.

The quotient is: 4a-5

The remainder is: 0

Keywords: Division of polynomials

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A restaurant offers delivery for their pizzas. The total cost is a delivery fee added to the price of the pizzas. One customer pays $25 to have two pizzas delivered. Another customer pays $58 for five pizzas. How many pizzas are delivered to a customer who pays $80?

Answers

Answer:

7

Step-by-step explanation:

We know, slope = rise/ run. We can use this slope formula to find out the value of every pizza.

So, 58-25/( 5-2) = 33/ 3= 11

So, every pizza costs $11

Now, A customer pays $80 for a number of pizzas. So, if we divide 80 by 11 we can find the value of unknown number of pizzas he ordered.

So, 80/11= 7.27

Here, pizzas can't be fraction and cost of a delivery fee is added to the cost. So, we can remove the fraction.

So, the customer ordered 7 pizzas for $80.  

Could someone please answer question b) ii) ?
The question is on the attached image.

Answers

b) ii) The value of y when x is 2.5 is -1.5

How to find the value of y

b) ii) The value of y when x is 2.5 is read from the graph to be approximately -1.8  

An mage  is attached to show how to read the value.

This can be solved by substitution

For x = 2.5

y = (2.5)² - (2.5) - 3 = 1.75

Find the slope of (-6,2) and (-4,13)

Answers

We can use the points (-6, 2) and (-4, 13) to solve.

Slope formula: y2-y1/x2-x1

= 13-2/-4-(-6)

= 11/2

______

Best Regards,

Wolfyy :)

Please help me find the value of the missing variable

Answers

Answer:

x = 10

Step-by-step explanation:

The sides of an equilateral triangle are all 60°. Divide 60 by 6 and get 10

Yeah just divide 60÷6 which equals 10

Help me what is 11u2 over 121v​

Answers

Answer:

u^2/11v

Step-by-step explanation:

11u^2/121v=u^2/11v

Because 11/121=1/11.

Sam has a piece of rope that is 3 feet long. He cuts the rope so that one piece
is 15 feet long. How long is the other piece?
Done →

Answers

Answer:

that makes no sense unless you meant to put 30 instead of 3 then the answer would be 15

Step-by-step explanation:

can you help me with 1-8?!

Answers

Answer:

1-8 would be 1 minus 8, which would give you the answer of -7.

Step-by-step explanation:

For myself, imagine the numbers on a number line, such as on the coordinate plane. Imagine 1(positive 1) plotted on the positive side. "Minus 8 would mean jumping back 8 times, which would bring you to negative 7, or -7.

The diagonal of a square measured 7 square root of 2 cm. Find the length of a side of the square

Answers

The diagonal of a square measured 7 square root of 2 cm. Then the length of side of square is 7 cm

Solution:

Given that,

The length of diagonal of a square is [tex]7 \sqrt{2}[/tex] cm

The figure is attached below

So length of diagonal = AC = [tex]7 \sqrt{2}[/tex] cm

Let the length of sides of the square be ‘a’

Since, the diagonal and the sides are forming a right angled triangle

So, we can use Pythagoras theorem,

Pythagorean theorem, states that the square of the length of the hypotenuse is equal to the sum of squares of the lengths of other two sides of the right-angled triangle.

In triangle ABC, AC forms the hypotenuse and BC is the perpendicular and AB is the base

So above Pythagoras theorem definition,

[tex](\mathrm{BC})^{2}+(\mathrm{AB})^{2}=(\mathrm{AC})^{2}[/tex]

[tex]\begin{array}{l}{(a)^{2}+(a)^{2}=(7 \sqrt{2})^{2}} \\\\ {2 a^{2}=98} \\\\ {a^{2}=98 \div 2=49} \\\\ {a=\sqrt{49}=7}\end{array}[/tex]

Hence, the length of the square is 7 cm

roberto has 200$ to spend on tickets to the hockey game . since each ticket costs $30, that means he could purchase 6.67 tickets with his $200. how many tickets can he buy ?

Answers

Answer:

6 tickets

Step-by-step explanation:

you can't round it so just says 6 tickets with left over money

The number of tickets Roberto can buy with his $200 is 6 tickets.

The total amount Roberto has to spend on tickets = $200.

The cost of each ticket = $30.

We need to find the number of tickets Roberts can buy for the hockey game.

Total amount to spend on ticket = $200.

Cost of each ticket = $30.

The number of tickets possible to buy with $200 :

= 200 / 30

= 6.67 tickets.

We can not have 6.67 tickets so we can say 6 tickets.

Since each ticket cost $30, the total cost for the ticket is :

= 6 x $30

= $180

So after buying 6 tickets Roberto will be left with $20.

The number of tickets Roberto can buy with his $200 is 6 tickets.

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1. Refer to the equation 2x − 6y = 12.
(a) Create a table of values for at least 4 points. Show your work.
(b) Use the table of values to graph the line.

Answers

Answer:

In pictures.

Step-by-step explanation:

2x-6y=12

-6y=-2x+12

y=2/6x-2

Now the equation is in standard form.

Table in attachments.

Graph in attachments.

Sorry, I made a mistake somewhere and got 2 different lines.

This answer might not be right.

Mara's family is driving to her grandmothers' house. The family travels 239.4 miles between the hours of 9:10 a.m. to 1:40 p.m. Write an equation that Mara can use to determine their average rate of travel, R, rounded to the nearest mile per hour.


Use the given numbers and operations to complete an equation.

Answers

Mara's family's average rate of travel, R, is calculated by dividing the total distance of 239.4 miles by the total time of 4.5 hours and then rounding to the nearest mile per hour.

To determine Mara's family's average rate of travel, R, you should start by calculating the total travel time. They started at 9:10 a.m and ended at 1:40 p.m, which is a span of 4 hours and 30 minutes, or 4.5 hours when converted to decimals to match the units of the distance traveled. Now use the formula for average speed, which is distance divided by time.

So, R = total distance / total time.

Substitute the given values into this formula to arrive at R = 239.4 miles / 4.5 hours. To find the average rate of travel, rounded to the nearest mile per hour, you would complete the division and then round the result.

Example Equation:

R = 239.4 miles / 4.5 hours

use two unit multipliers to convert 628 kilometers to centimeters

Answers

Using two unit multiplier 628 km is equal to 62800000 cm

Solution:

628 kilometer to centimeter

We will go from kilometers to meters to centimeters.

Start by putting 628 km over 1:

[tex]\frac{628 km}{1}[/tex]

We want to get rid of km and bring in m.

We know that 1000 m = 1 km.

Since km is in the numerator, we will make the  first unit multiplier by putting 1 km in the  denominator and 1000 m in the numerator, so the  km will cancel. So we multiply by the unit multiplier,

[tex]\frac{628 km}{1} \times \frac{1000m}{1km}[/tex]

Now the km's will cancel:

[tex]\frac{628}{1} \times \frac{1000m}{1}[/tex]

Now we want to get rid of m and bring in cm.

We know that 100 cm = 1 m.

Since meter is in the numerator, we will make the  first unit multiplier by putting 1 meter in the  denominator and 100 cm in the numerator, so the  meter's will cancel. So we multiply by the unit  multiplier

[tex]\frac{100cm}{1m}[/tex]

[tex]\frac{628}{1} \times \frac{1000m}{1} \times \frac{100cm}{1m}[/tex]

We cancel the m's and we end up with:

[tex]628 \times 1000 \times 100 cm[/tex]

= 62800000 cm

Thus 628 km is equal to 62800000 cm

Final answer:

To convert 628 kilometers to centimeters, multiply by the conversion factors for kilometers to meters and then meters to centimeters, leading to 62,800,000 centimeters.

Explanation:

To convert 628 kilometers to centimeters, we need to apply two unit multipliers. The first conversion factor is 1 kilometer = 1000 meters, and the second conversion factor is 1 meter = 100 centimeters.

First, we convert kilometers to meters:

628 km × 1000 m/km = 628,000 meters

Then, we convert meters to centimeters:

628,000 m × 100 cm/m = 62,800,000 centimeters

Therefore, 628 kilometers is equal to 62,800,000 centimeters.

The probability that an event will
occur is 0.25.

Answers

Answer:

PLEASE PROVIDE MORE INFORMATION

Step-by-step explanation:

describe a situation that can be modeled by the integer -15 explain what zero represents in the situation

Answers

Answer:

Step-by-step explanation:

The current weather in a strange place is known to be 0 degrees, after a couple of hours, the weather has dropped 15 degrees, making the day much more colder than usual. What's the degree after the weather has dropped?

Solution:

0-15=-15

Final answer:

The integer -15 can be used to describe a situation of temperature falling below freezing point or owing someone money. In these situations, zero represents the freezing point or balanced position (no debt) respectively.

Explanation:

A situation that can be modeled by the integer -15 could be the temperature outside on a very cold day in winter. If we are expressing the temperature in degrees Fahrenheit, for instance, a temperature of -15 could represent a day that is 15 degrees below the freezing point, which is 32 degrees Fahrenheit. In this situation, the integer zero represents the freezing point. So, if the temperature is -15, it means the temperature is 15 degrees below the freezing point.

Another example could be a debt. If you owe someone $15, then your balance can be represented by -15. In this case, zero represents the point where you do not owe any money, it is the neutrally balanced point of your financial situation.

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Shen the trainer has two solo workout plans that he offers his clients: Plan A and Plan B. Each client does either one or the other (not both). On Friday there were 3 clients who did Plan A and 5 who did Plan B. On Saturday there were 6 clients who did Plan A and 2 who did Plan B. Shen trained his Friday clients for a total of 10 hours and his Saturday clients for a total of 10hours. How long does each of the workout plans last?

Answers

Final answer:

To find the duration of workout plans A and B offered by Shen, we set up a system of linear equations and solved them. Both plans last 1.25 hours each.

Explanation:

Let us denote the duration of workout Plan A as A hours and Plan B as B hours. We can use the provided information to set up a system of linear equations representing the total training time on each day. On Friday, 3 clients did Plan A and 5 did Plan B for a total of 10 hours, leading to the equation 3A + 5B = 10. On Saturday, 6 clients did Plan A and 2 did Plan B for a total of 10 hours, resulting in the equation 6A + 2B = 10.

To solve this system of equations, we can use substitution or elimination. Multiplying the first equation by 2 gives us 6A + 10B = 20. Then we can subtract the Saturday equation from this to find the value of B:

(6A + 10B) - (6A + 2B) = 20 - 108B = 10B = 1.25 hours

Now that we know the duration of Plan B, we can plug this into either of our original equations to find the duration of Plan A. Let's use the Friday equation for this purpose:

3A + 5(1.25) = 103A + 6.25 = 103A = 3.75A = 1.25 hours

As it turns out, both workout plans last the same amount of time, 1.25 hours each.

If 23 boxes of neon bouncy ball are sold and 31 boxes of glow in the dark stickers were sold what were the total sales in dollars.

Answers

Answer:

You can't because we don't know the price of the boxes

Final answer:

To find the total sales in dollars, you need to know the price of each box of neon bouncy balls and each box of glow in the dark stickers. Let's assume that each box of neon bouncy balls costs $10 and each box of glow in the dark stickers costs $5. Calculate the total sales from the neon bouncy balls and the glow in the dark stickers separately, then add the totals together to find the total sales.

Explanation:

To find the total sales in dollars, you need to know the price of each box of neon bouncy balls and each box of glow in the dark stickers. Let's assume that each box of neon bouncy balls costs $10 and each box of glow in the dark stickers costs $5.

First, calculate the total sales from the neon bouncy balls: $10 x 23 = $230.

Then, calculate the total sales from the glow in the dark stickers: $5 x 31 = $155.

Finally, add both totals together to find the total sales: $230 + $155 = $385.

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please help quick will give brainliest

Answers

Answer:

.49

Step-by-step explanation:

So pretty much all you have to do is divide 8,526 by 42 which gives you .49, I know its pretty hard on paper but using a handy algebra calculator I was able to do it for ya :)

Which graph represents the function h(x)=-(x+6)3-3

Answers

Answer:

Step-by-step explanation:

Slope: -3

Y-Intercept: -21

x: 0, 1,

y: -21, -24

h(x)=−3x−21 is the closest answer

A company charges $25 a day for a car rental along with a $60 one time fee. Complete the table to determine the cost to rent the car for 1, 2, 3, or 4 days.

Answers

Answer:

Day 1 = 85 dollars

Day 2 = 110 dollars

Day 3 = 135 dollars

Day 4 = 160 dollars

Step-by-step explanation:

$60 is a one time fee so only has to be used once in a formula.

Y:25x+60 X= the # of days so just multiply numbers of days by 25 then add the 60.

Which number line represents the solution to 2.5 – 1.2x < 6.5 – 3.2x?

A number line from negative 5 to 5 in increments of 1. An open circle is at 4 and a bold line starts at 4 and is pointing to the left.
A number line from negative 5 to 5 in increments of 1. An open circle is at 4 and a bold line starts at 4 and is pointing to the right.
A number line from negative 5 to 5 in increments of 1. An open circle is at 2 and a bold line starts at 4 and is pointing to the left.
A number line from negative 5 to 5 in increments of 1. An open circle is at 2 and a bold line starts at 4 and is pointing to the right.

Answers

The number line which represents the solution of 2.5 -1.2 x < 6.5 - 3.2 x is " A number line from negative 5 to 5 in increments of 1. An open circle is at 2 and a bold line starts at 2 and is pointing to the left "

Step-by-step explanation:

On the number line, when we represent the solution of an inequality:

If the sign of inequality is ≥ or ≤ we draw a black circle to represent the numberIf the sign of inequality is > or < we draw an open circle to represent the numberIf the sign of inequality is > or ≥, then the line starts from a point and is pointing to the rightIf the sign of inequality is < or ≤, then the line starts from a point and is pointing to the left

∵ 2.5 -1.2 x < 6.5 - 3.2 x

- Add 3.2 x to both sides

∴ 2.5 + 2 x < 6.5

- Subtract 2.5 from both sides

∴ 2 x < 4

- Divide both sides by 2

∵ x < 2

∴ The solution of the inequality is x < 2 ⇒ all numbers less than 2

∵ The sign of inequality is <

- By using the points above

∴ The solution represented on the number line by an open circle

   is at 2 and the line starts at 2 and pointing to the left

The number line which represents the solution of 2.5 -1.2 x < 6.5 - 3.2 x is " A number line from negative 5 to 5 in increments of 1. An open circle is at 2 and a bold line starts at 2 and is pointing to the left "

The answer is not in the choices

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Answer:

C

Step-by-step explanation:

Your answer in simpler terms is c or the 3rd one this is for edge 2021-2020

Have a great day!

pls help answering a b and c

Answers

Answer:

a) The very first one where the line starts to the left

b) m=125.82

c) 320.81 thousand dollars

Step-by-step explanation:

a) The point on the graph who corresponds to x=3 years and Salary=$200,000 is the very first one where the line starts to the left

b) If a line is given by Y=mx+b, m represents the slope of the line. In this case, m=125.82 which can be interpreted as the rate of growth of the salary per year in thousands of dollars. A doctor can expect to earn 125.82 thousand dollars more than the previous year.

c) If we use the given regression line Y=125.82x-182.47 and make x=4, we get

y=125.82 (4)-182.47 =320.81 thousand dollars

Danielle earns a 7.25% commission on everything she sells at the electronics store where she works. She also earns a base salary of $650 per week. How much did she earn last week if she sold $4,400 in electronics merchandise? Round your intermediate calculations and answer to the nearest cent.

Answers

Danielle earned $969 last week if she sold $4,400 in electronics merchandise

Solution:

Given that, Danielle earns a 7.25% commission on everything she sells at the electronics store where she works.  

She also earns a base salary of $650 per week.  

We have to find how much did she earn last week if she sold $4,400 in electronics merchandise?  

Now, we know that, earned amount = base salary + commission

Given that she earns a 7.25% commission on everything she sells

So commission earned for selling $ 4400 is given as:

commission earned = 7.25 % of 4400

[tex]\text { commission earned }=\frac{7.25}{100} \times 4400=7.25 \times 44=319[/tex]

Earned amount = base salary + commission = 650 + 319 = 969

Hence, she earned $969 last week

What divided by 2000 equals 2 hundreds

Answers

Answer:

400,000

Step-by-step explanation:

Lets do the inverse of division which is multiplication so we are going to multiply 2,000 by 200 and get 400,000 and you can check by dividing 400,000 by 2,000 and you would get 200

If f(x) = –4x^2 – 6x – 1 and g(x) = –x^2 – 5x + 3, find (f – g)(x)

Answers

Answer:

B

Step-by-step explanation:

Note (f - g)(x) = f(x) - g(x)

f(x) - g(x)

= - 4x² - 6x - 1 - (- x² - 5x + 3) ← distribute parenthesis by - 1

= - 4x² - 6x - 1 + x² + 5x - 3 ← collect like terms

= - 3x² - x - 4 → B

Lucy is on her way home in her car. Her drive is 18 miles long. She has finished one-third of the drive so far. How far has she driven

Answers

Answer:

6 miles

Step-by-step explanation:

1/3 of 18 is 6 since 18 / 3 is 6

Answer:

6

Step-by-step explanation:

18 divided by 3 =6

-3,6,-9,12,-15 which of the following represents the general term for the sequence give?


(-1)^n3^n
(-1)^n3n
(-1)^n+1(3)

Answers

The general term for the sequence [tex]a_{n}=(-1)^{n} 3 n[/tex]

Solution:

Given sequence is -3, 6, -9, 12, -15

We have to find the general term of sequence

The terms in the sequence are found out by using the recursive definition:

[tex]a_{n}=(-1)^{n} 3 n[/tex]

Let us use this definition to find out the terms and check if it matches our given sequence

[tex]\begin{array}{l}{\text { For } n=1:-(-1)^{n} 3 n=(-1)^{1} \times 3 \times 1=-3} \\\\ {\text { For } n=2:-(-1)^{n} 3 n=(-1)^{2} \times 3 \times 2=1 \times 6=6} \\\\ {\text { For } n=3:-(-1)^{n} 3 n=(-1)^{3} \times 3 \times 3=-1 \times 9=-9} \\\\ {\text { For } n=4:-(-1)^{n} 3 n=(-1)^{4} \times 3 \times 4=1 \times 12=12} \\\\ {\text { For } n=5:-(-1)^{n} 3 n=(-1)^{5} \times 3 \times 5=-1 \times 15=-15}\end{array}[/tex]

Thus the general term is given by [tex]a_{n}=(-1)^{n} 3 n[/tex]

14y+6=2 in standard form

Answers

Answer:

y=-2/7

Step-by-step explanation:

14y+6=2

14y=2-6

14y=-4

y=-4/14

simplify

y=-2/7

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