the length of a rectangle is 5 less than twice its width. the perimeter is 26 meters. find the dimensions of the rectangle.

Answers

Answer 1

Step-by-step explanation:

Let x be the length of rectangle and y its width.

P is the perimeter.

So it is given that length is 5 less than twice its width

x=2y-5 so 2y=x+5

also P=2x+2y=26

lets find x

we know 2y=x+5 we replace 2y on P=2x+2y=26

so 26=2x+(x+5)

26=3x+5

21=3x

x=7

so we have that 2y=x+5 so 2y=7+5=12

y=6

we found

length=7

and

width=6


Related Questions

Which of the following is an example of an improper fraction?
A. 3
B. 9/5
C. 5/9
D. 1 1/2

Answers

B and C those are improper fractions

Find the value of the expression below
8(15-4)/4^2-5

Answers

Reduce the expression, if possible, by cancelling the common factors.

Answer:
8

Answer:

8 IS YOUR ANSWER

Step-by-step explanation:

HAVE A GREAT DAY

Domain and range of a graph please helppppp

Answers

Answer:

Domain : (-∞,∞)

Range : (-∞,∞)

Step-by-step explanation:

Domain is how many x-values the graph touches and Range is how many y-values the graph touches. And this graph has no point on which it stops nor any asymptotes, so both domain and range are all real numbers.

Answer:

if FB gxjxjdjdjhgdjjdidjqjdjjdid

Line f has a slope of -3/4 line g is perpendicular to f. What is the slope of like g

Answers

Answer:

Slope of line g = [tex]1\frac{1}{3}[/tex]

Step-by-step explanation:

Line f has a slope of [tex]-\frac{3}{4}[/tex] Line g is perpendicular to f

* Mathematics rule: If two lines are perpendicular to each other, then the product of their slopes is equal to -1 .

∴ [tex]-\frac{3}{4}[/tex] × slope of line g = -1

Slope of line g = -1 ÷ [tex]-\frac{3}{4}[/tex] = 4/3 = [tex]1\frac{1}{3}[/tex]

what is the ratio of students to adults ? complete the statement the ratio of students to adults is ? 20 to 4 is the awnser

Answers

Answer:

20 to 4

Step-by-step explanation:

is the answer because it is the amount of students to adults.

5b.) Use this equation to write the area A in terms of the perimeter p.

Answers

Area of the square will be x^2
And the perimeter is 4x
We know that x = p/4

As area is x^2 , we can substitute the value of p/4 in x place to get:

(p/4)^2
= p^2/4^2
=p^2/16

So this is the area A In terms of the perimeter p

Which prime number do the prime factorization of 130 and 165 have in common?

Answers

Answer:

They both have the #5 and they both have 3 #'s that are prime?

Step-by-step explanation:

what is the slope between the points (1,19) and (-2,-7) simplify

Answers

-5
18 or = -0.27777777777778

Need Help with this Appreciate!​

Answers

Answer:

Whatever problem choice is equivalent to 2

Step-by-step explanation:

4/5% of 192?
show work please

Answers

Answer:

153.60

Step-by-step explanation:

This will help you and make me burillan

Henry is playing a new game app where he needs to navigate through a maze without touching the walls. each player stars with 1,000 points, and 5 points are deducted each time a wall is touched.

What type of relationship most appropriately models this situation?

A. Exponential Decay
B. Linear Decrease
C. Exponential Growth
D. Linear Decrease​

Answers

Answer:

Step-by-step explanation:

Linear decrease

-24+to the power of 3

Answers

Answer:

-13824

Step-by-step explanation:

A tennis racket normally costs $70. The tennis racket is on sale for 30% off. What is the sale price of the tennis racket?

Answers

The sale price is $49 dollars

Jeremy's boss increased his salary from $8 per hour to $12 per hour. By
what percent did his hourly wages increase?

Answers

Answer:

1.5 percent

Step-by-step explanation:

A factory produces 150 plastic compounds per hour. How many components does the factory produce per minute?

Answers

Answer:

2.5 components but if you need to round 2

Answer:  

150 per 60 mins would be 2.5 per 1 min

Step-by-step explanation:

150/60 = 2.5

The average person takes in 900 breaths per hour. How many breaths does an average person take in 6 hours?

A 1,500 breaths1,500 breaths

B 4,500 breaths4,500 breaths

C 5,400 breaths5,400 breaths

D 54,000 breaths54,000 breaths

Answers

Answer:

C 5,400 breaths

Step-by-step explanation:

900 breaths per hour x 6 hours = 5,400 breaths in 6 hours

Elaine drove 3 miles forward, then 3 miles backward. How many miles did she drive?​

Answers

Answer:

6 miles

Step-by-step explanation:

3 plus 3= 6

Answer:

6 miles

Step-by-step explanation:

3 miles + 3 miles = 6 miles

-f-6-2f=8
I need help

Answers

Answer:

f= -14/3

Step-by-step explanation:

-f-6-2f=8

(given)

-3f-6=8

(combine like terms)

-3f=14

(add 6 to both sides)

f= -14/3

−7x − 7y = −14 2x +7y = 19

Answers

Answer:

(-1, 3)

I hope this helps

if you could, feel free to mark me Brainliest it would be much appreciated :D

The answer is (-1, 3)

put the following numbers in order from smallest to largest
548654
550654
1547521
1485554
1547656
1256441
995841​

Answers

Answer: 548654, 550654, 995841, 1256441, 1485554, 1547521, and 1547656

Hope this helps

In a batch of ​pedometers, are believed to be defective. A​ quality-control engineer randomly selects units to test. Let random variable Xthe number of defective units that are among the units tested. The probability mass function ​f(x)​P(X​x) is given below. ​f(x)​{(0,​), ​(1,​), ​(2,​), ​(3,​)} Recall that the mean of a discrete random variable X with probability mass function ​f(x)​P(X​x) is given by . Find for the probability mass function above. What does this number​ represent?

Answers

Answer:

The mean for the probability mass function is 0.64287.

Step-by-step explanation:

The complete question is:

In a batch of ​28 pedometers, 3 are believed to be defective. A​ quality-control engineer randomly selects 6 units to test. Let random variable X = the number of defective units that are among the units tested.

The probability mass function ​f (x) is:

f (x)​ = {(0, 0.47009​), ​(1, 0.42308​), ​(2,​ 0.10073), ​(3, 0.00611​)}

Solution:

The mean of a discrete random variable X with probability mass function f (x) is:

[tex]\mu=\sum\limits^{n}_{x=1}{x\times f(x)}[/tex]

Compute the mean for the probability mass function above as follows:

[tex]\mu=\sum\limits^{n}_{x=1}{x\times f(x)}[/tex]

  [tex]=(0\times 0.47009)+(1\times 0.42308)+(2\times 0.10073)+(3\times 0.00611)\\=0+0.42308+0.20146+0.01833\\=0.64287[/tex]

Thus, the mean for the probability mass function is 0.64287.

This values represents the expected number of defective units for every 6 units tested.

I need help please ​

Answers

The answer is 14! All you need to do is replace x for 2 and solve. Hope this helped at all :)

6. Which of the following is true about the
graph of the equation y = -5x + 10?
A. The graph would increase from left to right.
B. The graph would pass through the origin.
C. The graph would have a positive y-intercept.

Answers

Answer:

C

Step-by-step explanation:

The graph would have a positive y-intercept

The y-intercept is when x = 0

To find the y-intercept, plug in 0 for x

y = -5(0) + 10

y = 0 + 10

y = 10

10 is a positive number

Y-intercept is positive

C. The graph would have a positive y- intercept

What is the slope of a line perpendicular to the line whose equation is x−3y=12. Fully reduce your answer.

Answers

Answer:

m perpendicular = - 3

Step-by-step explanation:

To start with, we need to find the slope of the given line, by solving for y in the equation

x - 3 y = 12

x = 3 y + 12

x - 12 = 3 y

divide by 3 both sides:

y = x/3  - 12/3

y = (1/3) x - 4

then, the slope of the given line is 1/3, and according to the property of perpendicular lines, a perpendicular slope will be the 'opposite of the reciprocal" of the slope of the original line. That is: the value - 3.

Then the slope of the perpendicular line is: m = - 3.

Answer:

3

Step-by-step explanation:

5.
Evaluate f(x) = -2x2 -4 for x = 3.
O -10
O -18
10
-22

Answers

Answer:

-22

Step-by-step explanation:

f(x) = -2x^2 - 4 for x = 3

f(3) = -2(3)^2 - 4

f(3) = -2(9) - 4

f(3) = -18 - 4

f(3) = -22

Answer: -22

Answer:

-22

Step-by-step explanation:

Joanne and Ed Greenwood built a new barn with an attached arena. To finance the loan, they paid $1,326 interest on $47,600 at 4%. What was the time, using exact interest? (Do not round intermediate calculations. Round up your answer to the nearest day.)

Answers

Answer:254 days

Joanne and Ed Greenwood built a new barn with an attached arena. To finance the loan, they paid $1,326 interest on $47,600 at 4%. What was the time, using exact interest? (Do not round intermediate calculations. Round up your answer to the nearest day.)

Step-by-step explanation

Note that

Interest is represented by I=1326

The principal is represented by P=47,600

Rate is R =4%

And Time is year

Interest is calculated using the formulae,

I =PRT/100

From the above formulae, time can be calculated as

T=100I/PR

T= 100×1326/(47600×4)

T= 132600/190400

T= 0.6964 years

To convert to days, multiply by 365(since those no of days make a year)

T= 0.6964×365=254 days

This was approximated to the nearest day

Answer is 254 days

△ABC and △CDE similar right triangles. The coordinates of all the vertices are integers.

A: The relationship between the slope of AC¯¯¯¯¯ and the slope of CE¯¯¯¯¯ cannot be determined, because the triangles are congruent.

B:The slope of AC¯¯¯¯¯ is equal to the slope of CE¯¯¯¯¯ . This this because ratio of the change in y-values of the endpoints to the change in x-values of the endpoints is the same for AC¯¯¯¯¯ as for CE¯¯¯¯¯

C:The slope of AC¯¯¯¯¯ is greater than the slope of CE¯¯¯¯¯ . This is because the ratio of the change in y-values of the endpoints to the change in x-values of the endpoints is greater for AC¯¯¯¯¯ than for CE¯¯¯¯¯ .

D:The slope of AC¯¯¯¯¯ is less than the slope of CE¯¯¯¯¯ . This is because the ratio of the change in y-values of the endpoints to the change in x-values of the endpoints is less for AC¯¯¯¯¯ than for CE¯¯¯¯¯ .

Answers

Answer:

Option B.

Step-by-step explanation:

Slope of the line AC = [tex]\frac{\text{Rise}}{\text{Run}}[/tex]

                                  = [tex]\frac{\text{AB}}{\text{BC}}[/tex]

                                  = [tex]\frac{4}{6}[/tex]

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

Slope of the line CE = [tex]\frac{\text{DC}}{\text{DE}}[/tex]

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

Therefore, slope of the line AC = Slope of the line AC

And this is because ratio of change in y-values of the endpoints to the change  in x-values of the endpoints is the same for AC as for CE.

Option B. is the answer.

PLS I NEED THIS LIKE TODAY
Consider an example of a deck of 52 cards:

The dealer in a card game draws 3 cards from a deck of 52 cards and places them face up on a table. Select all of the correct probabilities.

Answers

Answer:

please be more specific

Divide and write the answer in the simplest form:

110
1
10
÷ 512
5
12
=
124
1
24
311
3
11
625
6
25
120

Answers

Answer:

What?

Step-by-step explanation

now I'm confused

write it regularly

How many degrees is the measurement of the missing angle? (Only numeric answer, no words or symbols at all)

Answers

Answer:

The answer is 135

Step-by-step explanation:

all angles in a triangle equal to 180.

so, 25+22= 45

then, 180-45= 135

the missing angles measure is 135 degrees

hope this helps!

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