The length of a rectangle is 5 less than 3 times its width. The perimeter is
78. Find the LENGTH.*

Answers

Answer 1

Answer:

The length is 28 and the width is 11

Step-by-step explanation:

To solve this problem, we can make the width as x.

Since the length is 5 less than 3 times the width, it's going to be 3x - 5

So now we've got the length and width, just need to find the perimeter, which is all the sides added up together. They already gave us the perimeter, so we just have to solve the equation:

2(3x - 5) + 2x = 78

6x - 10 + 2x = 78

8x - 10 = 78

8x = 88

x = 11

x = 11, but remember, x is the width, not the length. Since we already found what x is, we just have to plug it into the equation of:

3x - 5

3 × 11 - 5

33 - 5 = 28

Answer: Length = 28 (don't forget to add the unit if there is one)


Related Questions

HELP
ME
PLEASE!!!!!NOWWW

Answers

Answer:

1.a

2.j

3.g

4.d

5.i

6.l

7.b

8.c

9.f

10.h

11.e

12.k

Step-by-step explanation:

Can somebody help me on this

Answers

Answer/Step-by-step explanation:

a. 3x + 13 = 12x - 2x

Add like terms

3x + 13 = 10x

3x = 10x - 13 (subtraction property of equality)

3x - 10x = - 13 (substraction property of equality)

-7x = -13

-7x = -13/-7 (division property of equality)

x = 13/7

b. 6j - 12 + 4j - 8 = 10

Add like terms

6j + 4j - 12 - 8 = 10

10j - 20 = 10

10j = 10 + 20 (addition property of equality)

10j = 30

10j/10 = 30/10 (division property of equality)

j = 3

c. 10y - 4y = 14 + 2y - 3y

Add like terms

6y = 14 - y

6y + y = 14 (addition property of equality)

7y = 14

7y/7 = 14/7

y = 2

d. 4p + 8 - 3p = 33

Add like terms

4p - 3p + 8 = 33

p + 8 = 33

p = 33 - 8 (subtraction property of equality)

p = 25

Pascal reaches -12 meters only 3 seconds after passing 0. At what rate
does he run?

Answers

Answer:

About 30 m/s

Step-by-step explanation:

GENERATE THE FIRST 4 Terms of f(n)=-2(n-1)+8


Help

Answers

Answer:

8, 6, 4, 2

Step-by-step explanation:

f(n)=-2(n-1)+8

Plug n =1

f(1)=-2(1-1)+8 = - 2*0+8 = 0+ 8 = 8

Plug n =2

f(1)=-2(2-1)+8 = - 2*1+8 = - 2+ 8 = 6

Plug n =3

f(1)=-2(3-1)+8 = -2*2+8 = -4+ 8 = 4

Plug n =4

f(1)=-2(4-1)+8 = -2*3+8 = -6+ 8 = 2

[WORTH 100 WHOLE POINTS] !!

I need it soon!!

Answers

1. 1/5
2. 3/5
3. i do not understand
4. 1/2 (even chance)

Answer:

1. 1/5    2. 3/5       4. 1/2    I dont know what 3 is

Step-by-step explanation:

PLEASE HELP ASAP Which of the following expressions is equivalent to the expression 42 + 90?

Answers

Answer:

6(7+15)

Step-by-step explanation:

6×7=42

6×15=90

2) Suppose it is known that 80% of the people exposed to the flu virus will contract the flu. Out of a family of six exposed to the virus, what is the probability that:

a) no one will contract the flu?
b) all will contract the flu?
c) at least two will contract the flu?

Answers

Answer:

a) .000064

b) .2621

c) .9984

Step-by-step explanation:

esta correcta confianza en me

xoxo, your highness...

Andrew buys 8 pounds of apples for $11.60. He wants to know and use the unit rate of the cost per pound.

True or False: Two pounds of apples cost more than $3.

Answers

Answer:true

Step-by-step explanation:

if a student answer 67 exam questions correctly out of 100,what fraction and what personage of question did the students answers incorrectly.
A. 67/100
B.67%
C. 0.67
D. 30/100
E. 33 %
F. 33/100

Answers

Answer:

A and D

Step-by-step explanation:

67 right out of 100 for the fraction and 67/100 = 67%

i think it’s A and B

20 miles in 6 hours =

Answers

Answer:

3.33

hope I helped

Answer:

18 seconds per mile  

Step-by-step explanation:

The line plot shows the number of hours students in Mrs. Timberlake’s class worked on a project. How many students are included in the data?

Answers

15 students are in Mrs Timberlake's class

Answer:

15

Step-by-step explanation:

I got this answer because I just added up all the x's.

1=3

2=2

3=5

4=3

5=2

3+2= 5

5+5=10

10+3=13

13+2=15

Kevyn is visiting France where they use the Euro instead of the dollar to pay for things. His grandparents give him $200 to spend on his trip. How many Euros is that? ($1.00 = 0.85 Euros)

Answers

Answer:

200$ equals 170 euros so he will have 170 euros

Plz help I’m getting timed

Answers

Answer:

$38,465

Step-by-step explanation:

35 x 1,099 = 38,465

The sum of two positive numbers is 45. The difference between the numbers is 9. What
is the value of the larger number?

Answers

Answer:

value of larger number is27

Step-by-step explanation:

x+y=45

x-y=9

2x=36

x=18

y=27

Answer: 27 + 18 = 45

27 - 18 = 9

Step-by-step explanation:

A boat is carrying containers that weigh 4000 pounds each.
Use this information to fill in the table. Then plot the ordered pairs given by the table.

Answers

Answer:

4 = 16,000

8 = 32,000

10 = 40,000

Step-by-step explanation:

4 x 4 = 16 then add the zeros and then you have 16,000. Same thing with 8. 4 x 8 = 32 then add the zeros. Also goes for 10. 4 x 10 = 40 then add the zeros.

What is the equation of the line that has a slope of 5 and passes through the point (-4, 10)? * (20 Points)​

Answers

Slope intercept: y = mx + b
Y = 5x + b
10 = -20 + b, b = 30
Equation: y = 5x + 30

I am very confused with this problem please help me

Answers

Answer:

The answer is -0.5

Step-by-step explanation:

Divide both side by the numeric factor on the left side then solve

The answer to this problem is X= -1/2, -11/2

NEED HELP ASAP!

The sum of two numbers is 105. The larger number is 6 less than twice the smaller
number. What are the numbers?

Answers

Answer: x=68, y=37

Step-by-step explanation:

The equation for the sum of two numbers is 105 would be x+y=105. You can say the larger number would be x and the smaller would be y. So, x=2y-6. then you plug that into the x in the first equation.

2y-6+y=105

3y-6=105

3y=111

y=37

Then you would plug in the y to one of the equations. I will do the second one but you can do either one.

x=2y-6

x=2*37-6

x=74-6

x=68

Solve the inequality 3(x - 7) + 2(4x + 9) > 0.

Answers

Answer:

x>3/11

3x - 21 + 8x + 18 >0

11x - 3 >0

11x >3

x>3/11

​​

Answer:

Step-by-step explanation:

3(x - 7) + 2(4x + 9) > 0

3x-21+8x+18>0

11x-3>0

11x>3

x>3/11

Find the missing side of the triangle. Side LaTeX: cc is the hypotenuse and sides LaTeX: aa and LaTeX: bb are legs. Leave your answer in simplest radical form. LaTeX: a=2,\:b=4

Answers

Answer:

[tex]c = 2\sqrt{5[/tex]

Step-by-step explanation:

Given

[tex]a = 2[/tex]

[tex]b = 4[/tex]

c = hypotenuse

Required

Find c

Using Pythagoras theorem, we have:

[tex]c^2 = a^2 + b^2[/tex]

Substitute values for a and b

[tex]c^2 = 2^2 + 4^2[/tex]

[tex]c^2 = 4 + 16[/tex]

[tex]c^2 = 20[/tex]

Take square roots of both sides:

[tex]c = \sqrt{20[/tex]

Express 20 as 4 * 5

[tex]c = \sqrt{4 * 5[/tex]

Split surd

[tex]c = \sqrt{4} * \sqrt{5[/tex]

Take square root of 4

[tex]c = 2 * \sqrt{5[/tex]

[tex]c = 2\sqrt{5[/tex]

derivative of (a^x/Log a)?​

Answers

[tex]\large\bold{\underline{\underline{To \: \: Differentive:-}}}[/tex]

[tex]\sf{\dfrac{a^x}{log(a)} }[/tex]

(OR)

[tex]\sf{\dfrac{a^x}{ln(a)} }[/tex]

[tex]\large\bold{\underline{\underline{Solution:-}}}[/tex]

[tex]\sf{Let\ y=\dfrac{a^x}{ln(a)} }[/tex]

[tex]\sf{=\dfrac{d}{dx}\bigg[\dfrac{a^x}{ln(a)} \bigg] }[/tex]

(Linear differentiation)

[tex]\sf{=\dfrac{1}{ln(a)}.\dfrac{d}{dx}(a^x) }[/tex]

[tex]\sf{=\dfrac{ln(a)a^x}{ln(a)} }[/tex]

[tex]\boxed{\sf{=a^x}}[/tex]

[tex]\large\bold{\underline{\underline{Applied:-}}}[/tex]

✭ Linear differentiation

→ [tex]\sf{[a.b(x)+c.d(x)]'=a.b'(x)+c.d'(x)}[/tex]

✭ Exponential function rule

→ [tex]\sf{(a^x)'=ln(a).a^x}[/tex]

Answer:

a^x.

Step-by-step explanation:

y = a^x / log a

Assuming the log is to the base e:

y = (1/ log a) * a^x

Derivative of a^x:

Let u = a^x

log u = log a^x

log u = x log a

1/u * du/dx = log a

du/dx =  = u * log a

y = (1 / log a) * u

so  dy/du = 1/log a

and dy/dx = dy/du * du/dx

=  (1/log a )* log a u

= u

= a^x.

Actividad: Elabora tu propia ficha de autoevaluación de las 11 áreas que desarrollas y contesta las siguientes preguntas:
- acciones que realizaste para lograrlo.
- dificultades que encontraste.
- como te sentiste con el resultado.​

Answers

Answer:

i dont speak chinese

Step-by-step explanation:

sorry ;-;

Find the perimeter and area of the polygon

Answers

Answer:

p= 76

A=338

Step-by-step explanation:

Perimeter: 15+18+18+8+17=76

Area:

15x18=270+(8x17/2)

270+68=338

Please help!!!!!!!!!

Answers

Can you mark as BREINLEST

Three friends pay 1025 to rent a vacation home. Beth contributed $80 more than danny. Katie contributed $20 less than Beth. How much did Danny contribute?

Answers

Answer:

Danny contributed $295

Step-by-step explanation:

Assume that Danny contributed $x

Danny contributed x

∵ Beth contributed $80 more than Danny

→ Add The amount of Danny by $80 to get the amount od Beth

Beth contributed x + 80

∵ Katie contributed $20 less than Beth

→ Subtract the amount of Beth by 20 to get the amount of Katie

∴ Katie contributed x + 80 - 20

Katie contributed x + 60

∵ The three friends pay $1025

→ Add their amounts and equate the sum by 1025

x + x + 80 + x + 60 = 1025

→ Add the like terms in the left side

∵ (x + x + x) + (80 + 60) = 1025

∴ 3x + 140 = 1025

→ Subtract 140 from both sides

∴ 3x + 140 - 140 = 1025 - 140

∴ 3x = 885

→ Divide both sides by 3

x = 295

∵ x represents the amount of Danny contributed

Danny contributed $295

A rectangle has width (2x + 3) and length (2x - 4). What is the AREA of the rectangle?

Answers

Answer:

85

Step-by-step explanation:

Can someone help please

Answers

Answer:

b

Step-by-step explanation:

Please please help i’m in eighth grade.

Answers

Answer:

Option D

Step-by-step explanation:

36 represents the total cost that they spent

A school hoped to raise $30,000 at an auction to pay for
new computers. After the auction was over, the school
found they had made $34,800. What percent of their goal
did the school raise?
A
186%
B
116%
с
86%
D
16%

Answers

The answer is B
Explanation:::

Ms. McGuirk wants to know if she built her son's new sandbox with a perfect right angle or not? The shorter sides are 15 feet and 8 feet what should the measure of the 3rd side be to make it a perfect right angle?

Answers

Answer:

17 feet

Step-by-step explanation:

A right angle has 3 sides: the adjacent, the opposite and the hypotenuse.

The hypotenuse is the largest side of the right angle

The shorter sides are 15 feet and 8 feet which should represent opposite and adjacent sides respectively

Opposite = 15 feet

Adjacent = 8 feet

Hypotenuse = x feet

Using Pythagoras theorem to solve

Hypotenuse ² = opposite ² + adjacent ²

x² = 15² + 8²

x² = 225 + 64

x² = 289

Find the square root of both sides

√x² = √289

x = 17 feet

The 3rd side is 17 feet

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The table shows the cost to Brenda for her textbooks at her local college. Which description accurately matches the table?A)New textbooks cost $120 each, and used textbooks cost $40 each. She isbuying 2 new textbooks and x used textbooks.B)New textbooks cost $100 each, and used textbooks cost $80 each. She isbuying 2 new textbooks and x used textbooks.C)New textbooks cost $120 each, and used textbooks cost $80 each. She isbuying 2 new textbooks and x used textbooks.D)New textbooks cost $100 each, and used textbooks cost $40 each. She isbuying 2 new textbooks and x used textbooks. What does x = if x multiplied by 7/3 = 1 It is approximately 32 miles from Dallas to Fort Worth.Which number sentence could be used to find f, the numberof feet from Dallas to Ft. Worth.(A) 1760 x 1/32 = f because the scale factor is 5280 (B) 32 x 1760 = f because the scale factor is 5280.(C)5280 x 1/32 = f because the scale factor is 5280.(D)32 x 5280 = f because the scale factor is 5280. I need to know if is true or false please When a tree is cut and burned, it is converted into which of the following?carbon reservoircarbon cyclecarbon sourcecarbon sink If you flip a fair coin 6 times, what is the probability that you will get exactly 4 tails At a shelter, 35% of the dogs are puppies. There are 200 at the shelter. How many are puppies? A soccer team uses 5-gallon coolers to hold water during games and practices. Each cooler holds 640 fluid ounces. The team has small cups that each hold 6.25 fluid ounces and large cups that each hold 8.75 fluid ounces. 1. The team fills c coolers for practice. During practice, the players pour s small cups and g large cups of water. Write an expression that represents the amount of water that remains in the coolers. Juanita drive 40 miles in 48 minutes At this rate, she will drive _______ miles in 6 minutes Q = x^2 - 15x + 56 = 0 What is one thing you want to remember about your art lessons this week? On Monday, Takira counted 75 splatters of bird droppings on her car. On Tuesday afternoon, she counted 21 more. What is the percent change in the number of bird droppings on Takira's car from Monday to Tuesday? Fishing and farming are examples of which type of industry? pls help me with this There are 120 boys in Morris middle school. What is the total numberstudents in Morris middle school? 1. Which of the following is a typical characteristic of ionic solids?A. low melting pointC. no conductivity in solutionB. soft and malleableD. neutral net charge What is the purpose of the farming technique shown here? a. to enable farmers to plant a new crop without plowing up the old cropb. to allow a crop that requires flooded fields to be grown on a slopec. to provide a windbreak and avoid erosion by windd. to allow for crop rotation so that friends do not become depleted of minerals Which is the graph of the equation y-1 =-1 =3(x-3)?106.-4.(34)2.-10-85--222488 10x-4-6.-8.10morang What verb is used to describe what Japan did when they claimed Manchuria, or what America did to Hawaii?A. AnnexB. JoinC. ConquerD. Legislate what is the value of the expression of 83-5x6