the length of a rectangle is 5 more than twice the width. if the perimeter of the rectangle is 76 meters, find the dimensions of the rectangle and choose the equation that represents the perimeter:

1. 76=2w+5
2. 76=2w+2(2w+5)
3. 76=w+2w+5
4. 76=2w+(2w+5)

Answers

Answer 1

Answer:

Dimensions: 11 meters by 27 meters

2. [tex]76=2w+2(2w+5)[/tex]

Step-by-step explanation:

Finding Dimensions:

The perimeter of a rectangle can be written as [tex]2l+2w[/tex] where [tex]l[/tex] is the length and [tex]w[/tex] is the width. It is given that the length is 5 more than twice the length of width and the perimeter of the rectangle is 76 meters.

With this information we can write:

Length = [tex]2w+5[/tex]

[tex]2(2w+5)+2w = 76[/tex] (perimeter of the rectangle)

[tex]4w+10+2w=76[/tex]

[tex]6w=66[/tex]

[tex]w=11[/tex]

Length = [tex]2(11)+5[/tex]

Length = [tex]27[/tex]

∴ The dimensions of the rectangle is 11 meters by 27 meters.

Perimeter

Since the length can be written as [tex]2w+5[/tex], the equation that represents the perimeter of the rectangle is [tex]76=2w+2(2w+5)[/tex]


Related Questions

The bus drives 66 km at an average speed of 24 km/h. How long does the journey take?

Answers

Answer:

2.75 hours

Step-by-step explanation:

Speed is 24km per hour ([tex]\frac{24km}{1hour}[/tex]), and the bus covered 66km.

We need to get a value of km with the rate (24/1) and distance (66) given.

We get:  [tex]\frac{1hour}{24km} *66km[/tex].  

The km cancel out, leaving us with 66/24 hours, or 2.75 hours.

Lynne was wondering which game was more popular so she aksed her friends which they liked to play more, FortNite or Among Us. She found that of the 80 people who responded, 0.55 of them preferred FortNite, and 30% of them preferred Among Us. How many more of her friends prefer FortNite than Among Us?

Answers

Answer:

20 more of her friends prefer FortNite than Among Us

Step-by-step explanation:

Lynne was wondering which game was more popular so she aksed her friends which they liked to play more, FortNite or Among Us.

She found that of the 80 people who responded:

For fortnite:

0.55 of them preferred FortNite

Hence, = 0.55 × 80 people

= 44 people preferred fortnite

For Among us

30% of them preferred Among Us.

= 30% × 80 people

= 30/100 × 80 people

= 24 people preferred Among us.

How many more of her friends prefer FortNite than Among Us?

This is calculated as:

44 - 24

= 20 more people

Hence, 20 more of her friends prefer FortNite than Among Us

Answer:

20 more of her friends prefer Forte than Among

f(x)= x^2 + 10f(x)=x

2

+10f, left parenthesis, x, right parenthesis, equals, x, squared, plus, 10

Over which interval does fff have a positive average rate of change?

Choose 1 answer:

Choose 1 answer:


(Choice A)

A

[-3,3][−3,3]open bracket, minus, 3, comma, 3, close bracket


(Choice B)

B

[-4,-1][−4,−1]open bracket, minus, 4, comma, minus, 1, close bracket


(Choice C)

C

[-3,1][−3,1]open bracket, minus, 3, comma, 1, close bracket


(Choice D)

D

[-1,2][−1,2]

Answers

Answer:

The option D represents an interval with a positive average rate of change.

Step-by-step explanation:

Let [tex]f(x) = x^{2}+10[/tex], the average rate of change on the interval [tex][a,b][/tex] is represented by the definition of the secant line:

[tex]\bar f = \frac{f(b) -f(a)}{b-a}[/tex] (1)

Where:

[tex]a[/tex], [tex]b[/tex] - Lower and upper bounds, dimensionless.

[tex]f(a)[/tex], [tex]f(b)[/tex] - Function evaluated at lower and upper bounds, dimensionless.

Now we proceed to check each option:

A. [tex]a = -3[/tex], [tex]b = 3[/tex]

[tex]\bar f = \frac{19-19}{3-(-3)}[/tex]

[tex]\bar f = 0[/tex]

B. [tex]a = -4[/tex], [tex]b = -1[/tex]

[tex]\bar f = \frac{11-26}{(-1)-(-4)}[/tex]

[tex]\bar f = -5[/tex]

C. [tex]a = -3[/tex], [tex]b = 1[/tex]

[tex]\bar f = \frac{11-19}{1-(-3)}[/tex]

[tex]\bar f = -2[/tex]

D. [tex]a = -1[/tex]. [tex]b = 2[/tex]

[tex]\bar f = \frac{14-11}{2-(-1)}[/tex]

[tex]\bar f = 1[/tex]

The option D represents an interval with a positive average rate of change.

Answer:

It would be D

Step-by-step explanation:

what do you think of france

Answers

Answer:

Baguette is very important

Step-by-step explanation:

they don't have bidet but baguette

Answer:

honestly i think its a pretty country, its pretty nice and wish i could go.  

Step-by-step explanation:

If i = -1, then i^2 =

Answers

Answer:

1

Step-by-step explanation:

The exponent is the number of times you multiply the base aka i in this case.

i = -1

Substitute -1 for i.

-1^2

-1 x -1 = 1

because when you multiply two negatives they make a positive.

mark me brainliest : )

Calculate the circumference of the following circles. Give your answers to 1 decimal place.​

Answers

Answer:

a) 31.4 cm b) 22.0 cm c) 9.4 mm d) 18.8 m e) 1.6 m f) 28.3 cm g) 78.5 cm h) 9.7 m

Step-by-step explanation:

All it really is multiply the diameter which is the straight line through the center of the circle

C = d × \pi

The circumference of the circles is A. 31.4 cm, B. 22cm approx,

C. 9.4 mm, D. 18.88 m, E. 1.6 m, F. 28.3 cm, G. 78.5 cm, H. 4.1 m.

What is a circle?

A circle is a closed, two-dimensional object where every point in the plane is equally spaced from a central point. The line of reflection symmetry is formed by all lines that traverse the circle. Additionally, every angle has rotational symmetry around the center.

Given circles,

circumference  of circle is 2πr in form of diameter = πd

where d is diameter,

A. given d = 10 cm

circumference   = c = πd

c = 3.14 x 10

c = 31.4 cm

B. given, d = 7 cm

c= πd

c = 3.14 x 7

c = 21.98 cm = 22 cm approx

C.given, d= 3 mm

c = πd

c = 3.14 x 3

c = 9.4 mm

D. given d = 6 m

c = πd

c = 3.14 x 6

c = 18.8 m

E. given c = 0.5 m

c = πd

c = 3.14 x 0.5

c = 1.6 m

F. given d = 9 cm

c = πd

c = 3.14 x 9

c = 28.3 cm

G. given d = 25 cm

c = πd

c = 3.14 x 25

c = 78.5 cm

H. given d = 1.3 m

c = πd

c = 3.14 x 1.3

c = 4.1 m

Hence the circumference is as follows.

Learn more about circles;

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You were given a Starbucks gift card for your birthday. One day, you used the gift card to order 3 drinks that cost $5.20 each. When you looked at your receipt, you noticed that there was a remaining balance of $26.00 on the gift card.

Write an equation in point-slope form that represents the total balance left on the gift card, y, in terms of the number of drinks ordered, x.

Answers

Answer:

The card had 41.60 originally

Step-by-step explanation:

3 x 5.20 = 15.60

15.60 + 26.00 = 41.60

unless there is tax

What is the equation to find d

Answers

Ebjnxnebchhxbbxhdhdbhx

How many solutions can be found for the system of linear equations represented on the graph?
A) no solution
B) one solution
C) two solutions
D) infinitely many solutions

Answers

Answer:

D, ininitely many

Step-by-step explanation:

A- incorrect since the lines intersect

B - incorrect since the lines intersect at more than one point

C - incorrect since the lines intersect at more than 2 points

D- correct since the lines intersect at infinitely many points (since they're the same line)

Answer:

D) infinitely many solutions

Step-by-step explanation:

we can see that the graphs shows two lines that are exactly one on top of the other. This means that every point on either line will also coincide with a point on the other line.

Because of this, every point on one line is also a solution on the other line, thus there are infinitely many solutions.

Answer this question, and dnt answer it if u dnt know the answer :|

Answers

Answer: 45

Step-by-step explanation:

The sides are 2x,3x,4x

Add them up and you have 9x=45

A grocery store offers a 10% discount on your entire purchase when you spend more than $50. You have $117 to spend on groceries and the cost of the groceries in your cart is currently $50. The inequality 0.9(a+50)≤117 represents the cost a (in dollars) of groceries that you can add to your cart.

Answers

Answer:

a≤80

Step-by-step explanation:

Answer:

a≤80

Step-by-step explanation:

a bolt has 6 1/2 turns per inch how many turns would be in 2 1/2 inches of threads

Answers

Answer:

famwfklawf'ajnkpfjnflasjfajlkfjlk/ajkljkljklasjkfjkajkjkfajkfjkj/fj/fsklafnwklasj'fawJFAKLfajfl;ajfafjafafafafaf

Step-by-step explanation:

is 2(x+3)=5x+6-3x always true or never true?

Answers

Answer:

always true

Step-by-step explanation:

Distribute the left side

2(x + 3) = 2x + 6

Simplify the right side

5x + 6 - 3x ← collect like terms

= 2x + 6

Thus

left side = right side , so always true

Equation 2(x + 3) = 5x + 6 - 3x is an identity which is always true.

What is identity?

An identity is an equation which is always true, no matter what values are substituted.

Identities can be written with the sign ≡.

Given equation,

2(x + 3) = 5x + 6 - 3x

Simplifying

2x + 6 = 2x + 6

LHS = RHS

Hence, equation 2(x + 3) = 5x + 6 - 3x  is always true.

Learn more about identity here:

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Hello Guys it’s FreeGiftCardCodes I’ll be posting PS4 Xbox apple And Nintendo switch Gift cards ILL send a 2 when I get to 5 followers so add me if you want one And thank me also

Answers

Answer:

alright bet

Step-by-step explanation: ayyyeeeee

Answer:

Alright bro I will add you and thank you

Step-by-step explanation:

When trying to find a common denominator, can you multiply the denominators and get a common denominator?(example: 3/7 2/5
7 x 5 = 35
2/35 3/35)

Answers

Answer:

im pretty sure you have to cross muliply

but i learned in school what ever you do to the top do to the bottom

hope it helps

sorry no definet answer

Step-by-step explanation:

help me pleaseeeeeeeeee

Answers

Answer:

C) [tex]45^{\circ}[/tex]

Step-by-step explanation:

There are 2 pi radians in 360 degrees:

 [tex]\frac{17\pi}{4}rad \cdot\frac{360^{\circ}}{2\pi{rad}}=765^{\circ}=45^{\circ}[/tex]

Answer: I think it 45°

Explanation:360-315=45

1. Analyze the question below. What is the slope of the line?
y = 10
A. m = -10/1
B. m = -100/10
C. m = 10
D. m = All of the Above
2. What is the slope of the line?
y = -9/3x
A. m = -9/3
B. m = -3
C. m = -9/-3
D. m = All of the Above
3. What is the slope of the line?
y = -9x
A. m = -9/1
B. m = -9/-1
C. m = -9
D. All of the Above
4. What is the slope of the line?
7x = y
A. m = -7/1
B. m = 7
C. m = 1/7
D. All of the above
5. How do I find a slope on the linear graph in simplest form? ​

Answers

1.c

2.a

3.b

4.b

5. not enough points for me to answer

Answer:

1.c

2.a

3.b

4.b

5. not enough points for me to answer

Step-by-step explanation:

1.c

2.a

3.b

4.b

5. not enough points for me to answer

The table shows the location of four cities relative to sea level.
Which city is closest to sea level? Explain.

Answers

Answer:its citc (C)

Step-by-step explanation:

graph the function -4x + 3y = 15

Answers

Y=10 X=3.75 is the answer

Use a positive or negative number to represent a stock market loss of $1,500.​

Answers

Answer:

negative

Step-by-step explanation:

negative because you are losing something

find 150 of 28 by writing the percent as a decimal

Answers

Answer:

28 / 150 = 18.666666666667%

Step-by-step explanation:

28 / 150 = 18.666666666667%

4.45 / 100 = 4.45%

143 / 165 = 86.666666666667%

127,998 / 1,609,008 = 7.955087855374%

Find the missing length.
С
9
c= /[?]
TX
Pythagorean Theorem: a2 + b2 = c2
3



Don’t mind the broken laptop

Answers

Answer:

c = [tex]\sqrt{90}[/tex]

Step-by-step explanation:

Using Pythagoras' identity in the right triangle.

The square on the hypotenuse c is equal to the sum of the squares on the other 2 sides, that is

c² = 9² + 3² = 81 + 9 = 90 ( take the square root of both sides )

c = [tex]\sqrt{90}[/tex]

Please hurry I am being timed!

The three angles of a triangle have equal measures. The sum of their measures is 180º. What is the measure of each angle?
A. 45º
B. 30º
C. 60º
D. 55º


Please select the best answer from the choices provided

Sorry if this is easy for you I'm bad at math

Answers

The angle of each measure is 60 degrees

The length of the day in Lagos, Nigeria (in minutes), ttt days since the beginning of the year can be estimated by this formula: \qquad L(t) = 727+22\sin \left(\dfrac{2\pi (t - 80.75)}{365}\right)L(t)=727+22sin( 365 2π(t−80.75) ​ )L, left parenthesis, t, right parenthesis, equals, 727, plus, 22, sine, left parenthesis, start fraction, 2, pi, left parenthesis, t, minus, 80, point, 75, right parenthesis, divided by, 365, end fraction, right parenthesis. When is the longest day of the year? Give an exact answer.

Answers

Answer:

The longest day of the year is day 172  

Step-by-step explanation:

Since the length of day is L(t)=727+22sin[2π(t−80.75)/365], the maximum length of day is obtained when sin[2π(t−80.75)/365] is at its maximum value which is 1. So. sin[2π(t−80.75)/365] = 1

We now solve this to find the day at which this maximum value occurs.

sin[2π(t−80.75)/365] = 1

[2π(t−80.75)/365] = sin⁻¹(1)

[2π(t−80.75)/365] = π/2

dividing both sides by 2π/365, we have

[2π(t−80.75)/365] ÷ 2π/365 = π/2 ÷ 2π/365

t−80.75 = 365/4

t−80.75 = 91.25

t = 91.25 + 80.75

t = 172

The longest day of the year is day 172

Answer:

172

Step-by-step explanation:

Keep in mind, that when graphed one of the "tallest" points is 172,749. Using this, you'll find that 172 is the tallest

HELP ME PLEASE I NEED HELP I BEG OF U WILL MARK AND 5 STARS

Answers

x=43 because the whole triangle is 180 degrees so you simply just add the 25 and 112 together and minus that answer by 180

Maria would like to leave a tip (D) of at least 15% of her total dinner bill (3). Which inequality could Maria use to calculate the possible amounts she could leave as a tip?


OT ≥0.15B

O T > 0.15B

O T ≤ 0.15B

OT < 0.15B​

Answers

An

Step-by-step explanation:

Which of the following statements must be true about this diagram? check all that apply.​

Answers

Answer:

F & B

Step-by-step explanation:

Answer:

C, D, E

Step-by-step explanation:

Remote angles theorem; when one side of a triangle is extended, the angle formed must equal the sum of the two angles in the triangle, that it isn't adjacent to.

C. (m<4) > (m<1), this has to be true because of remote angles theorem.

(m<4) must be greater than (m<1) because it is equal to (m<1) + (m<2)

D. (m<4) > (m<2), apply the same logic here, as was applied to the first problem.

E. (m<1) + (m<2) = (m<4), this is essentially remote angles theorem.

In the metric system, which prefix would you use for "1/100"?
A. Kilo-
B. Milli-
C. Centi-
O D. Hecto-

Answers

Answer:

C

Step-by-step explanation:

Centi means 1/100.

Answer:  C. Centi-

Step-by-step explanation:

It comes from Latin. You can remember that 0ne Cent is 1/100 of a dollar.

PLZ HELP!!
f(x) = x2 is graphed in red. Which of the following
functions is graphed to the left in purple?
O f(x) = -(x + 3) 2 - 2
Of(x) = (x – 3)2 +2
O f(x) = - ] (x+3)2 - 2
O f(x) = (x – 3)2 – 2
10

Answers

9514 1404 393

Answer:

  f(x) = -1/4(x +3)² -2

Step-by-step explanation:

The graph is shifted left 3 and down 2. It is also reflected over the x-axis and vertically compressed. The leading coefficient will be a negative fraction, and the offsets will replace x with x+3, and will add -2 to the scaled function.

The result is shown below.

I dont understand this at all. I really need help! ​

Answers

Hello!

[tex]\large\boxed{x^{4}}[/tex]

Recall that:

[tex]\sqrt[z]{x^{y} }[/tex] is equal to [tex]x^{\frac{y}{z} }[/tex].  Therefore:

[tex]\sqrt[3]{x^{2} } = x^{\frac{2}{3} }[/tex]

There is also an exponent of '6' outside. According to exponential properties, when an exponent is within an exponent, you multiply them together. Therefore:

[tex](x^{\frac{2}{3} })^{6} = x^{\frac{2}{3}* 6 } = x^{\frac{12}{3} } = x^{4}[/tex]

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