The width of a rectangle is 4x - 4.25 feet and the length is 7x + 7 feet. Write and
expression to find the perimeter of the rectangle.

Answers

Answer 1

Perimeter is 2l+2w in the case of a rectangle, so you would write:

2(4x - 4.25) + 2(7x +7)

Answer 2

Answer: The expression can be written as Perimeter = 22x + 5.5

Step-by-step explanation: The perimeter of a rectangle is given as 2(L + W), where L is the length and W is the width. In the question, the length L has been given as 7x + 7 while the width W has been given as 4x - 4.25.

Inserting the values of the length and the width, the perimeter can now be properly written as,

Perimeter = 2(L + W)

Perimeter = 2( {7x + 7} + {4x - 4.25} )

By collecting like terms we now have

Perimeter = 2(11x + 2.75)

Perimeter = 22x + 5.5


Related Questions

$300 invested at 12% compounded monthly after a period of 1.5 years

Answers

Answer: $358.8 to the nearest tenth

Step-by-step explanation:

Compound interest is calculated by Where: A = P(1 + r)t

Where P= 300, r= 12% = 0.12, t= 1.5 years

Slot in the figures

300 (1 + 0.12) 1.5

300 (1.12) 1.5

300x 1.12

336e1.12

A = $ 358.84

Two linear functions are combined with addition, and then the same two linear functions are combined by multiplication.
Which functions could be the result of the combinations? Select two options.
16x - 12
17x - 12
72x? - 96x
72x2 - 108
72x2 - 204x + 144

Answers

Final answer:

Adding two linear functions results in a linear function, which could be represented as '16 x - 12' or '17 x - 12'. Multiplying two linear functions results in a quadratic function, which could be represented as '72 x² - 204 x + 144'.

Explanation:

In this scenario, when the two linear functions are being combined by addition and multiplication, it results in an expression that could be either linear or quadratic. When you add two linear functions together: f(x) = ax + b and g(x) = cx + d, the result is also a linear function: h(x) = (a+c)x + (b+d). Therefore, both 16 x - 12 and 17 x - 12 could be the result of an addition of two linear functions.

However, when you multiply two linear functions, you get a quadratic function: i(x) = (ax + b)(cx + d) = acx^2 + (ad+bc)x + bd. So 72 x² - 204 x + 144 could be the result of a multiplication of two linear functions.

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2. The 120 sixth graders are going on a
field trip to the museum. The museum
requests a ratio of students to adult
chaperones of 8:1. How many adult
chaperones will be needed?

Answers

Answer:

15 chaperones

Step-by-step explanation:

In a club there is 13 women and 8 men. A committee of 9 women and 4 men is to be chosen. How many different ways are there to select the committee?

A. 50,050 ways
B. 3,744 ways
C. 273 ways
D. 34 ways​

Answers

Final answer:

To find the number of ways to form a committee of 9 women and 4 men from a group of 13 women and 8 men, calculate the combinations separately for women and men, and multiply them together. The answer is 50,050 ways. So the correct option is A.

Explanation:

The question involves calculating the number of ways to choose a committee consisting of 9 women from a group of 13 women, and 4 men from a group of 8 men. This is a problem that requires knowledge of combinations, a concept in probability and statistics.

Step-by-step solution:

Calculate the number of ways to choose 9 women out of 13, which is given by the combination formula C(n, k) = n! / (k!(n-k)!), where n is the total number of items to choose from, k is the number of items to choose, and ! denotes factorial. For the women, C(13, 9) must be calculated.Calculate the number of ways to choose 4 men out of 8, using the same formula. This will be C(8, 4).Multiply the two results to get the total number of ways to form the committee, since the selections of women and men are independent events.

Now, using the combination formula:

C(13, 9) = 13! / (9! × (13-9)!) = 13! / (9! × 4!)C(8, 4) = 8! / (4! × (8-4)!) = 8! / (4! × 4!)Therefore, the total number of ways to select the committee = C(13, 9) × C(8, 4).

After calculating, we find that the number of ways to form the committee is 50,050, which corresponds to option (A).

what is the value of 4(3x + 5) when x = 11?

Answers

Answer:

152

Step-by-step explanation:

3(11)= 33

4(33+5)

4(33)=132

4(5)=20

132+20=152

Final answer:

The value of the expression 4(3x + 5) when x = 11 is 152. This was calculated by replacing x in the equation with 11, simplifying the resultant equation and finally calculating the product.

Explanation:

The student has asked to compute the value of 4(3x + 5) when x = 11. This a problem in the field of Algebra, where 'x' is a variable and the equation 4(3x + 5) is an expression.

First, let's substitute x in the equation with 11. So the equation becomes 4(3*11 + 5). Let's simplify the equation. This gives us 4(33 + 5), which equals 4*38. Multiplying 4 by 38 gives us the final answer, 152.

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4x−4<8 AND 9x+5>23 Solve for X.

Answers

Hope this will help u...

(24y + 2x)divide(1/4z

Answers

Answer:

96y/z + 8x/z

Step-by-step explanation:

hope this helped

What is the slope of a line perpendicular to the line whose equation is y= 2x + 5?
slope = -1
Slope = -1/2
slope = -2

Answers

Answer:

The slope is -1/2 which is Option B

Step-by-step explanation:

A line that is perpendicular to another has the slope that has the sign reversed and is the reciprocal.

Example:  Find the line perpendicular to y = 3x

First, you flip the sign which makes 3 into -3

Next, you make the reciprocal which makes -3 into -1/3

Problem: Find the line perpendicular to y= 2x + 5

First, you flip the sign which makes 2 into -2

Next, you make the reciprocal which makes -2 into -1/2

Answer:  The slope is -1/2 which is Option B

The slope of a perpendicular line is the opposite reciprocal of the slope of the original line.

Opposite → -2

Reciprocal → -1/2

Therefore, the answer is -1/2

Best of Luck!

Jared made 12 3/4 cups of snack mix for a party.His guests eat 2/3 of the mix.How manysnack mix did his guest eat?

Answers

Answer:

The number of snacks did Jared's guest eat is [tex]12\frac{1}{12}[/tex]

Step-by-step explanation:

Given that Jared made [tex]12\frac{3}{4}[/tex] cups of snack mix for a party.

Let x be the cups of snacks mix made by Jared.

Therefore  [tex]x=12\frac{3}{4}[/tex]

His guests eat [tex]\frac{2}{3}[/tex] of the mix.

Let y be the guest eated snacks mix

Therefore [tex]y=\frac{2}{3}[/tex]

To find how many snack mix did his guest eat :

Let z be the number of snacks did Jared's guest eat

Therefore z=x-y

[tex]z=12\frac{3}{4}-\frac{2}{3}[/tex]

[tex]=\frac{51}{4}-\frac{2}{3}[/tex]

[tex]=\frac{51(3)-2(4)}{4\times 3}[/tex]

[tex]=\frac{153-8}{12}[/tex]

[tex]=\frac{145}{12}[/tex]

[tex]=12\frac{1}{12}[/tex]

Therefore [tex]z=12\frac{1}{12}[/tex]

Therefore the number of snacks did Jared's guest eat is [tex]12\frac{1}{12}[/tex]

A painter estimates she can paint a house in 40 hours. She knows her assistant can do the same job is 60 hours. How long would it take them to paint the house working together?

Answers

24 hours

Step-by-step explanation:

1 hour

Painter1 1/40

Painter2 1/60

together 1/40+1/60=5/120=1/24

The time it would take them to paint a house working together is 24 hours.

How are number of people to time needed to complete a task related?(WORK DONE)

More people to do a task means less time it will take.

Less people to do a task means more time it will take.

Thus, they are inversely related.

If x men take y time for a work,

We can define a constant as "Manpower" needed for doing that specific work.

Let we define:

Manpower needed for a work = y + y + y + .. + y = Time per man × count of men

Manpower needed for a work = xy

We are given that;

Time = 40hours

Time for her assistant= 60hours

Now,

First, let’s find their individual rates. The painter can paint 1/40 of a house per hour and the assistant can paint 1/60 of a house per hour. To find their combined rate, we add these fractions:

1/40 + 1/60 = 3/120 + 2/120 = 5/120

This means that together they can paint 5/120 of a house per hour. To find how long it would take them to paint one whole house (or 1/1), we use the formula:

Work done = Rate × Time 1/1 = (5/120) × Time Time

= (120/5) × (1/1) Time

= 24 hours

Therefore, by work and time the answer will be 24 hours.

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Wendy already owns 4 necklaces, and additional necklaces are priced at 1 for a dollar. How
much money does Wendy need to spend on new necklaces in order to own a total of 26
necklaces?

Answers

Answer:

$22

Step-by-step explanation:

If she wants to own 26 necklaces. You take that number and subtract the four she already owns, leaving you with 22.

Answer:

She needs to spend $22.

Step-by-step explanation:

She has 4 necklaces. In order to have 26, she needs to buy more necklaces. How many does she need to buy?

We subtract 4 from 26.

26 - 4 = 22

She needs to buy 22 necklaces to have a total of 26 necklaces.

Each necklace costs $1.

22 necklaces cost 22 times $1.

22 * $1 = $22

Answer: She needs to spend $22.

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Volume of Prisms & Pyramids Practice
Find the volume of each figure. Be sure to include the units, and circle or box your answers.
1)
4 in
2)
12 m
10 m
2 in
2 in
2 in
2 in
3)
4 ft
4)
10 yd
8 yd
6 yd
8m
6m
9 yd
5 ft
12 ft
5)
11 m
6)
4 ft
12 ft
12 ft
4 ft
2 ft
10 m
4m
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Worksheet by Kuta Software LLC

7)
7 ft
8)
8 m
3m
4m
9)
12 in
9 in
9 in
10)
11 mi
8 ft
6 ft
5m
10 ft
12 in
12 in
11)
12)
6 mi 6 mi
8 mi
8 mi
10 in
10 in
3 in
7 in
5 mi
6 mi
3 in
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6 mi
Worksheet by Kuta Software LLC

Answers

Not sure because I don’t see the figures I’m supposed to find the volume of

What ratio is equivalent to 2/8

Answers

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{\dfrac{2}{8}=\dfrac{2\div2}{8\div2}=\boxed{\bf{\dfrac{1}{4}}}}}[/tex]

[tex]\mathsf{Rewrite\ \dfrac{1}{4}\ as\ ratio\ and\ that\ will\ be\ your\ answer!}[/tex]

[tex]\mathsf{\dfrac{1}{4}=\bf{1:4}}[/tex]

[tex]\boxed{\boxed{\bf{Your\ answer: \boxed{\huge\text{\bf{1:4}}}}}}}}\huge\checkmark[/tex]

[tex]\large\text{Good luck on your assignment and enjoy your day!}\\\\\dfrac{\frak{LoveYourselfFirst}}{:)}[/tex]

Part B: If Taylor and Miley both
work for 2 weeks, how much more
will Taylor earn?

Answers

Answer: $661.50

Step-by-step explanation:

Taylor makes $771.25 per week and makes twice that much in two weeks.

2×771.25=2(700+70+1+0.25)=1400+140+2+0.50

So Taylor makes $1542.50 in two weeks.

Miley makes $440.50 per week and so will make $881 in two weeks. Since

1542.50−881=742.50−81=741.50−80=701.50−40=661.50

We know that Taylor will make $661.50 more than Miley in two weeks.

Hope this helps!

The measure of 2 ACD is 147º and the measure of Z BAC is 29º. What is the measure of Z ABC?
(not drawn to scale)

Answers

Answer:

Answer is option c) 118 degrees

Step-by-step explanation:

[tex]the \: exterior \: angle \: is \: equal \: to \: the \: \\ sum \: of \: the \: opposite \: interior \: angles \\ by \: using \: this \: concept \: \: we \: find \: that \\ angle \: abc \: is \: 118 \: degrees.[/tex]

If you have any doubts see the image. or write in comments box.

HAVE A NICE DAY !

Two farmers bought a truck. The first farmer paid 4/5 of the price, and the second paid the rest. The first farmer's share was
$9,600. What was the total price of the truck?
A $10,000
B
$12,000
C
$20,000
D
$25,000
Next >>

Answers

Answer:

C) $12,000

Step-by-step explanation:

4/5 = 9600

÷4

1/5 = 2400

4/5 + 1/5 = 5/5 = the whole price

9600 + 2400 = 12000

=$12,000

solve the system of equations -x-y=-4 and -2x+4y by combining the equation

Answers

what does the second equation equals to? (-2x+4y=?) I’ll help u out

Answer:

×=8/3 and y=4/3

Step-by-step explanation:

-x-y=-4

-2x+4y=0

-2x=-4y

x=2y

so -2y-y= -4 and x= 2•4/3

-3y=-4 x=8/3

y=4/3

A bake sale earns 80$ from selling 50 brownies. Each brownie cost the same amount. How much was 1 brownie?

Answers

$1.60
Divide 80 by 50 to find the cost of one brownie which will then lead you to get you the answer of $1.60

Answer:

cost of one brownie is $1.60

Step-by-step explanation:

Cost of one brownie

$80 from selling 50 brownies

we can create a ratio

80     :    50

x       :      1

we can use cross multiplication to solve this:

80 = 50x

80/50 = x

x = $1.60

cost of one brownie is $1.60

During halftime of a football ​game, a sling shot launches​ T-shirts at the crowd. A​ T-shirt is launched from a height of 4 feet with an initial upward velocity of 80 feet per second. The​ T-shirt is caught 35 feet above the field. How long will it take the​ T-shirt to reach its maximum​ height? What is the maximum​ height? What is the range of the function that models the height of the​ T-shirt over​ time?

Answers

It takes 2 seconds to reach a maximum height of 69 feet, and the range is [5, 69].

The equation is of the form

h(t) = -16t² + v₀t + h₀, where -16 is the gravitational constant, v₀ is the initial velocity, and h₀ is the initial height.  Using the values from our problem, we have:

h(t) = -16t² + 64t + 5

To find the maximum height, we find the vertex.  The first step in this is to find the axis of symmetry, which is given by -b/2a:

-64/2(-16) = -64/-32 = 2

This is our value for t, so it takes 2 seconds to reach the maximum.  Substituting this into our function, we have

h(2) = -16(2²) + 64(2) + 5 = -64 + 128 + 5 = 64 + 5 = 69

This is the maximum height.

The range of heights goes from 5 to 69, inclusive, or [5, 69].  

The T-Shirt reaches its maximum height of 104 feet at 2.5 seconds. The range of the height over time is from 4 feet to 104 feet.

To analyze the projectile motion of the T-Shirt, we'll use the kinematic equations. The height h(t) at any time t can be modeled by the equation:

h(t) = -16t2 + v0t + h0

where:

h(t) is the height at time tv0 is the initial velocity (80 ft/s)h0 is the initial height (4 ft)

1. Time to reach maximum height:

To find the time to reach maximum height, we use the formula for the time at which the velocity becomes zero:

t = v0 / g

t = 80 ft/s / 32 ft/s2 = 2.5 s

2. Maximum height:

Now, substituting t = 2.5 s into the height equation, we get:

h(2.5) = -16(2.5)2 + 80(2.5) + 4

h(2.5) = -100 + 200 + 4 = 104 feet

3. Range of the height function:

The T-Shirt starts at 4 feet, reaches a maximum of 104 feet, and is caught at 35 feet. Hence, the range of the height function is [4, 104] feet.

Find the slope of the line that passes through -2,5 and -1,1

Answers

Answer:

m= -4

Step-by-step explanation:

use the slope formula m=rise/run  y2-y1/x2-x1

the answer to this is -4

Which is the equation of the function?

f(x) = 3|x| + 1
f(x) = 3|x – 1|
f(x) = |x| + 1
f(x) = |x – 1|

Answers

Answer:

the answer is d

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

8(4x + 6) what is the answer

Answers

Answer:

32x+48

Step-by-step explanation:

All that is needed to be done here is to multiply each digit inside the bracket by 8. We can even expand it to make it simpler to understand.

8(4x)+8(6)

8(4x)=32x

8(6)=48

We therefore have as our answer

32x+48

Write a polynomial function f of least degree that has rational coefficients, a leading coefficient of 1, and the given zeros.

1. -2, -1, -i
2. 4, -√5, -5

Answers

Answer:

y=(x^2 -1)(x^2 +1)(x^2 -4)(x^2 -5)(x +5)(x -4)

sry, but i didn't want to multiply it out. T-T

explanation needed tip by using chain rule​

Answers

Answer:

1/(810pi) cm/s

Step-by-step explanation:

V = pi×r²×h = pi×90²×h = 8100pi×h

dh/dt = dh/dV × dV/dt

dV/dh = 8100pi

dV/dt = 10

dh/dt = (1/8100pi) × 10

= 1/(810pi) cm/s

Find the value of x to the nearest tenth! Help ASAP

Answers

The value of x is 10.

Solution:

Given triangle is a right triangle.

θ = 50°, adjacent side = 6, hypotenuse = x

The value of cos 50° = 0.6

Using trigonometric ratio formulas,

[tex]$\cos \theta=\frac{\text { Adjacent side of } \theta}{\text { Hypotenuse }}[/tex]

[tex]$\cos50^\circ=\frac{6}{x}[/tex]

[tex]$0.6=\frac{6}{x}[/tex]

Do cross multiplication, we get

[tex]x\times 0.6=6[/tex]

Divide by 0.6 on both sides, we get

[tex]$\frac{x\times 0.6}{0.6}=\frac{6}{0.6}[/tex]

x = 10

The value of x is 10.

Which expressions are equivalent to 7⋅7⋅7⋅7⋅7⋅7
SELECT 2 Answers
It's FROM KHAN academy

Answers

Answer:

7^6

and

7⋅7⋅7⋅7⋅7⋅7/1

Step-by-step explanation:

Hope this helps! It would be better for me to see the selections though.

Answer:

A - 7^8/7^2
C - (7^2)^3

Step-by-step explanation:

So there's a question exactly like this on khan, so here's the khan answer
Don't worry I tested it

Solve t. Soving proportion 7-3=4-t t=

Answers

Answer:

t = 0

Step-by-step explanation:

Step 1:  Solve for t

7 - 3 = 4 - t

4 - 4 = 4 - t - 4

0*-1 = -t*-1

0 = t

Answer:  t = 0

Help with any please!

Answers

Answer:

1. A

2. 128°

3. 112°

4. 20°

5. 125°

6. 35°

7. 158°

8. 140°

9. B

10. C

3. What is the correct factorization of x2 – 2x – 15?

Answers

Answer:

(x+3)(x−5)

Step-by-step explanation:

to factor, simply just think of what two numbers multiplied together would give you -15 but added together give you -2. since the produce is negative, you know one number is positive, and one is negative, and since the sum is also negative, you know that the larger root is negative

Hope this will help u..

Last month, the Nunez family spent $218.85 for 1,214 kilowatt hours of electricity. What is the unit rate per kilowatt hour?

Answers

Answer:

$.18 per kilowatt hour

Step-by-step explanation:

To find the rate per kilowatt hour

Take the price and divide by the kilowatt hours

218.85/1214

.180271829

Since this is money,we round to the nearest cent

$.18 per kilowatt hour

Other Questions
Associated Breweries is planning to market unleaded beer. To finance the venture, it proposes to make a rights issue with a subscription price of $10. One new share can be purchased for each two shares held. The company currently has outstanding 100,000 shares priced at $40 a share. Assuming that the new money is invested to earn a fair return, give values for the following: (Do not round intermediate calculations. Enter your answers in dollars not millions.) Just plug in the numbers then find the derivative.h(x)=f(g(x))f(x)=sqrt(x)g(x)=5x^2+4h(3)=[]h'(3)=[]/[] O. Sawyer discovered problems in coordinating the work flow going from her department to marketing. To solve the problem, she identified some situations that needed correction and asked employees to submit their suggestions for improvement. After their suggestions were summarized, the employees selected one for implementation. Next, a supervisor was given responsibility and authority to oversee implementation and to keep Sawyer informed. Sawyer's actions exhibit the ____ leadership style. ____ evaluation is when each part of an expression that uses an operator is evaluated only as far as necessary to determine whether the entire expression is true or false. a. Loop b. Truth c. Binary d. Short-circuit Another pitfall cited in Section 1.10 is expecting to improve the overall performance of a computer by improving only one aspect of the computer. Consider a computer running a program that requires 250 s, with 70 s spent executing FP instructions, 85 s executed L/S instructions, and 40 s spent executing branch instructions. Theme-and-variations form may be schematically outlined as A landscaping company accepts MasterCard as payment for $1,000 worth of services. MasterCard charges a service fee of 2 percent. Which of the following would be recorded by the store? Multiple Choice Debit $20 to Service Fee Expense Debit $1,000 to Cash Credit $980 to Service Revenue Credit $980 to Cash I need help with number 7 please. Use avoir to write the sentence in French.1. tu / quel/age / Josphine Fern Corporation manufacturers a single product that has a selling price of $25.00 per unit. Fixed expenses total $33,000 per year, and the company must sell 5,500 units to break even. If the company has a target profit of $12,000, sales in units must be: To win a bowling trophy, you need a 3 game total score of at least 500.on the first two games,your scores are 183 and 165.what score do you need on game 3? How does a glacier move? The "Open Door notes" cross out A) sought to give the United States a monopoly on trade with China. cross out B) gave the United States a reason to be militarily involved in China. cross out C) were directed to imperial powers in Europe and Asia. cross out D) were written by Theodore Roosevelt. cross out E) argued that Japan should open its borders to free trade. Ramon sees a therapist because he is reliving a traumatic experience and has been trying to avoid reminders of it. The onset of his problem occurred three weeks ago, after he was brutally assaulted and robbed. The therapist would most likely diagnose Ramon with which disorder? 1. acute stress disorder 2. generalized anxiety disorder 3. panic disorder 4. post traumatic stress disorder Victoria works in the production department for a manufacturer of coffee equipment. A new promising product idea the company is considering involves the development of simple pour-over coffee makers. These coffee makers would be made of wood with a cotton drip bag, similar to what is known in Costa Rica as Chorreadores. Victoria's firm thinks this type of product can catch on in the United States because they are exotic and highly environmentally friendly. Refer to Scenario 12.4. Victoria is working with a team to determine the feasibility of the product. Together with her team, she shows a small group of avid coffee customers a written description as well as a photo of the proposed product. She hopes to determine whether they would buy the product and what they think about it. Victoria and her team are at what stage in the product development process? Which statement about the point (2,0) is true? Carol will be a bridesmaid next summer, and she purchased her dress online. The next time she turned on her computer, Carol was surprised to see special offers for matching accessories. This is an example of which marketing strategy?A. public relationsB. sales promotionsC. direct marketingD. personal sellingE. media advertising The graph of the equation x^2+6x+y^2-16y=-9 is a circle. Choose True or False for each statement A. The center of the circle is (3,-8). (true or false?) B. The circle is tangent to the x-axis. (true or false?) C. The circle has a radius of 64. (true or false?) The following are budgeted data: January February March Sales in units 16,600 23,200 19,600 Production in units 19,600 20,600 19,300 One pound of material is required for each finished unit. The inventory of materials at the end of each month should equal 25% of the following month's production needs. Purchases of raw materials for February would be budgeted to be: Garrison 16e Rechecks 2017-10-03 Multiple Choice A.20,925 pounds B.20,575 pounds C.20,275 pounds D.18,325 pounds HELP QUICK PLEASEThe perimeter is 116 in and the width is 27 in.What's the length?