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

Plz help fast and correct!!!! (I will report if answer is stupid!!!)

Answers

slope for both is 1/2
A.
Slope: 4/3
Y-int: 2
Equation: y = 4/3x + 2

B.
Slope: -1/3
Y-int: -1
Equation: y= -1/3x - 1

The height h of a square pyramid can be determined from the equation h = l2−(s2)2−−−−−−−−√ , where l is the slant height of the pyramid and s is the side length of the square base. What is the slant height l of the square pyramid shown?

Answers

Answer:

I believe the answer is 34 cm (I may be wrong but I'm 98% that my answer is correct)

Step-by-step explanation:

(excuse my handwriting on the ss its hard to write on a computer lol)

hope this helps :)

Is SAM - DEL? If so, identify the similarity postulate or theorem that
applies.

A. Similar - AA
B. Similar - SSS
C. Similar - SAS
D. Cannot be determined

Answers

Answer:

Step-by-step explanation:

C

The theorem that applies is Similar SAS.

The correct option is C.

What are similar triangles?

Those triangles look the same but are different in size.

And in similar triangles,

the corresponding sides are in proportion to each other and the corresponding angles are equal to each other.

Given information:

SM = 27, angle SMA = 31 degrees, MA = 15, DL = 9, LE = 5 and Angle DLE = 31 degrees.

From the given information, we know that angle SMA is congruent to angle DLE because they both have a measure of 31 degrees. However, we do not have any information about the other angles in the two triangles.

To check if the corresponding sides are proportional, we can compare the ratios of the corresponding side lengths:

SM/ DL = 27/9 = 3

MA/LE = 15/5 = 3

Since the ratio of SM to DL is equal to the ratio of MA to LE, we know that the corresponding sides are proportional.

Therefore, we can use the Similarity-SAS (Side-Angle-Side) postulate to conclude that the triangles are similar. The postulate states that if two pairs of corresponding sides are proportional and the included angles are congruent, then the triangles are similar.

The answer is (C) Similar - SAS.

To learn more about similar triangles;

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I need to find the x pls help and show work

Answers

Answer:

Start giving more points

Step-by-step explanation:

plus i needed the points

Answer:

x=143

Step-by-step explanation:

deNew image over pre-image so 52/4 would equal x/11 because those sides correspond, then cross multiply to get 572 equals 4x then divide each side by 4 to get x=143

A triangle has side lengths of 13, 15 and 25. Find the measure of the angle to the nearest whole degree that is across from the longest side. So find < L ?

Answers

Answer:

Answer in photo

Step-by-step explanation:

Olivia can type 45 words every 2.5
minutes. What is the unit rate of words
per minute that Olivia can type?
What would be the rate of words per second?

Answers

Answer:

18 per min and 0.3 per second

Step-by-step explanation:

Per minut --> 45/2.5 = 18 words per minut

Per sec --> 2.5 mins*60 secs = 150 sec, then 45/150 = 0.3 words per second

Best regards

Write an equation of the line passing through point (7,3) that is parallel to line 4x-7y=9

Answers

Answer:

y= 4/7x -1  

Step-by-step explanation:

solve for y first in 4x-7y=9, which becomes y = 4/7x - 9/7, then since its a parallel line the slope stays the same which is 4/7. Then plug into this equation: y =mx+b, in which you plug in the point for the x and y values and you plug in the slope for m, so the equation becomes, 3 = (7)(4/7) + b and now solve for b in which b = -1 and now write the equation using all the corresponding things so the equation becomes: y= 4/7x -1  

A restaurant customer left ​$ as a tip. The tax was and the tip was ​% of the after tax cost. Which information is not needed to compute the bill after tax and​ tip? What was the total​ bill?

Answers

Complete question :

A restaurant customer left ​$0.90 as a tip. The tax was 8% and the tip was ​10% of the after tax cost. Which information is not needed to compute the bill after tax and​ tip? What was the total​ bill?

Answer:

The tax percentage

9.9

Step-by-step explanation:

Guven that :

Amount of tip left = 0.90

Tip left = 10% of after tax cost

Tax % = 8%

If tip left = 10% of after tax cost; then ;

If after tax cost = x

10% of x = 0.90

0.1x = 0.9

Hence the percentage tax isn't needed :

To obtain the total bill:

Let total bill = y

y = after tax cost and tip

Hence,

y = x + tip

y = x + 0.9

From : 0.1x = 0.9 ; x = 0.9/0.1 = 9

Hence,

Total bill:

y = 9 + 0.9

y = 9.9

Can someone help me pls

Answers

Answer:

1) rational

2) Irrational

3)rational

4) irrational

5) rational

Step-by-step explanation:

If it has a whole number answer and doesn't have never ending number its rational

Joe has to get 80% overall in his 3 tests. He gets 60% in one of them. How much percentage does he need for both of the exams to get 80% overall?

Answers

Answer:

80%

90%

Step-by-step explanation:

BRAINLIEST PLEASE

if x^3+ax^2-18x+b = (x+5)(x-4)(x+2) what is a and b

Answers

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[tex] (x + 5)(x - 4)(x + 2) = [/tex]

[tex](x + 5) ({x}^{2} - 2x - 8) = [/tex]

[tex] {x}^{3} - 2 {x}^{2} - 8x + 5 {x}^{2} - 10x - 40 = \\ [/tex]

[tex] {x}^{3} + 3 {x}^{2} - 18x - 40[/tex]

_________________________________

Compare :

[tex] {x}^{3} + 3 {x}^{2} - 18x - 40[/tex]

[tex] {x}^{3} + a {x}^{2} - 18x + b[/tex]

Thus :

[tex]a = 3[/tex]

and

[tex]b = - 40[/tex]

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-x/3 = -998
please help fast!!!
what does x equal?

Answers

Answer:

2994=x

Step-by-step explanation:

-x/3=-998

multiply 3 on both sides

-x=-2994

x=2994

Hope this helps you!

#Team Rainbows~

This might help for your math homework

1
A percent of change is the ratio of the amount of change to the original amount.

Answers

Answer:

I believe this would be true

Step-by-step explanation:

I can't figure this out :/

Answers

Answer:

I believe it is d because when you get to negatives they are always on the left side

Step-by-step explanation:

charles has 24 marbles. he has 6 more yellow marbles then blue marbles. which equation represents this senctence

Answers

Sksisjjsjskakalalaljdjdh

Answer: n+(n+6)=24,where n is the number of blue marbles. 3. n+6n=24,where n is the number of blue marbles.

Step-by-step explanation:

please help i dont want to fail

Answers

Answer: -2.2

Step-by-step explanation:

Answer:

-3/5 which is the third line between 0 and -1 if you're going back from 0.

I WILL GIVE BRAILYEST!!!!!
What are the solutions to y=5x2−35x+30?
What are the solutions to y=2x2+16x+30?
What are the solutions to y=6x2−48x+42?

Answers

Answer:

0,6

9,8

0,9

Step-by-step explanation:

Rewrite the following equation in standard form.
y + 7 = 2(x - 6)

Answers

Answer:

(-5)

Step-by-step explanation:

(-5)+7=2(×-6) fahhshzhsuhshzhhsbwysvavaghahahahwhwgwvavvwhhwshahwh

i genuinely don't understand . please help me asap

Answers

Answer:

48.17

Step-by-step explanation:

Umm.. i don't really have time to explain but

A^2+B^2=C^2

36^2+32^2=48.17

A video game awards points each time a player finds a diamond. The players' point total increases with each additional diamond the player finds, as shown in the table below.

If n represents the number of diamonds found and p represents the total number of points, write an equation that models the points awarded for finding diamonds in this video game. Use the on-screen keyboard to type the equation in the box.

Answers

Answer:

15x-5=y

Step-by-step explanation:

The equation of the line will be written as y = 15x - 5.

What is an equation of the line?

An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.

The general form of the equation of the line:-

y = mx + c

m = slope

c = y-intercept

Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )

The given data is,

The number of diamonds          Total number of points earned

      1                                                             10    

      2                                                            25

      3                                                            40    

      4                                                            55  

      5                                                            70

The slope of the line will be,

Slope = ( 25 - 10 ) / 1

Slope = 15

The y-intercept of the line,

y = mx + c

y = 15x + c

10 = 15 + c

c = -5

The equation will be written as,

y = mx + c

y = 15x - 5

Therefore, the equation of the line will be written as y = 15x - 5.

To know more about an equation of the line follow

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Which of the following represent an exponential growth function?

Answers

Answer:

[tex]y=3^x[/tex]

Step-by-step explanation:

Exponential Growth Function

The exponential function is often used to model natural growing or decaying processes, where the change is proportional to the actual quantity.

An exponential growth function is expressed as:

[tex]C(t)=C_o\cdot(1+r)^t[/tex]

Where:

C(t) is the actual value of the function at time t

Co is the initial value of C at t=0

r is the (positive) growth rate, expressed in decimal

Since r is positive, 1+r is greater than 1.

From the available options, only the last two of them correspond to exponential functions according to the definition above.

Note the third option has a base of 1/3 which is not greater than 1. In fact, it corresponds to an exponential decay function.

The last option has a base 3 and corresponds to a value of r=2 which correctly fits with the definition presented above, thus the correct choice is

[tex]\mathbf{y=3^x}[/tex]

CAN SOMEONE HELP ME ON THIS QUESTION ASAP IT IS DUE IN 10 MORE MINUTES

Answers

Answer:

90° degrees

Step-by-step explanation:

cause if you look closely inside the semi circle is a right angle and a right angle is 90°

Charlie bought 2 3/4 pounds of pears for $0.76 per pound and 2 3/4 pounds of grapes for $1.40 per pound. How much money in dollars and cents did charlie pay for the pears and grapes.

Answers

Answer

Charlie paid $5.94

Step-by-step explanation:

0.76x2 3/4=2.09

1.40x2.75=3.85

3.85+2.09=$5.94

Solve the following inequality.
7(6 - 4n) + 4n > 138

Answers

Answer:

n <−4

42 - 28n + 4n >138

42 - 24n >138

-24n > 138 - 42

-24n >96

n <−96/24

N <−4

Help please thank you

Answers

i think it’s the last one
130 degrees is the answer

need help pls answer it​

Answers

Answer:

1 5/6 or answer C

Step-by-step explanation:

First: Parenthesis  4/5-1/4 or 11/20x 1/2 is 11/40

Bottom: 1/2*4/5 is 2/5 - 1/4 which is 3/20

11/40 *20/3

11/6 or 1 5/6 which would be answer C.

Hope this helps!

Happy Holidays!

Answer:

C

Step-by-step explanation:

top 4/5-1/4 or 11/20x 1/2 = 11/40

bottom 1/2*4/5 is 2/5 - 1/4 = 3/20

PLEASE HELP

due today in 20 minutes
i will mark you brainliest

Answers

Excuse if I have this wrong but I’m going to guess that in every question how the 2 is up the m or the other letters that means you are multiplying that number/ letter by its self one more time so I’m not really sure, I’m sorry.

The expression 2y+ 2.6 is equal to ? for y=5

Answers

Answer:

Its 12.6

Step-by-step explanation:

first we multiply 2 by 5 and get 10. Then we add 10 to 2.6 and get 12.6 for your answer.

Answer: 12.6

Step-by-step explanation:

2(5)+2.6

10+2.6

12.6

What is the coefficients of x4 in the expansion of (1+x)4(1+2x)3.

Answers

By the binomial theorem,

(1 + x)⁴ = 1 + 4x + 6x² + 4x³ + x

(1 + 2x)³ = 1 + 6x + 12x² + 8x³

In the expansion of (1 + x)⁴ (1 + 2x)³, we get an x⁴ when multiplying

• x⁴ and 1 to get x⁴;

• 4x³ and 6x to get 24x⁴;

• 6x² and 12x² to get 72x⁴; and

• 4x and 8x³ to get 32x⁴.

Add these up:

x⁴ + 24x⁴ + 72x⁴ + 32x⁴ = 129x

Please answer correctly !!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!

Answers

Answer:

2nd answer

Step-by-step explanation:

Answer: 6, 10, 16

Reason:
with a triangle the longest angle should be lower than the two smaller angles combined.

Take for instance

5, 11, 15

5+11= 16

16 is greater than 15

12+ 20= 32

32 is greater

12 + 20 = 32

32 is greater than 30

10 + 6 = 16

16 is not greater than 16

Hope this helps
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