A rectangle's length is 3 more than it width, if the perimeter is 26 inches, what is the width of therectangle.

Answers

Answer 1
Answer:

Answer:

So the width is 3.25

Step-by-step

If the perimeter of a rectangle is 300 and the length is two times the  

width, what are the length and the width?

  • Call the width of the rectangle x.  Then, if the length is three times  the width, the length must be 3x.  
  • Now, if you have a rectangle whose  width is x and whose length is 3x, the perimeter must be  3x + 3x + x + x = 8x.  
  • You are told that the perimeter is 26, so the equation is 8x = 26.  
  • Dividing both sides by 8, one gets x = 3.25.  So the width is 3.25 and the  length is 6.5.

*Please don't get upset if this is incorrect, I am in 9th grade and I have severe dyslexia and dyscalculia*

:)

Answer 2
Answer:

Final answer:

Given the length is 3 more than the width, and the perimeter is 26 inches, by solving the equation corresponding to the perimeter of the rectangle, we find that the width of the rectangle is 5 inches.

Explanation:

The question is asking for the width of a rectangle given that its length is 3 more than its width and the perimeter is 26 inches. Let's denote the width as x. Therefore, the length is x + 3.

The formula for the perimeter of a rectangle is 2*(length + width), which in this case translates into 2*(x + (x + 3)). As given, this equals 26. Solving the equation 2*(2x + 3) = 26, we find that x = 5. Therefore, the width of the rectangle is 5 inches.

Learn more about Rectangle dimensions here:

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What is the volume in cubic feet of a greenhouse that is 20 ft long, 15 ft wide, 10 ft high

Answers

To do this multiply the three numbers together.  20 times 15 is 300 and 300 times 10 is 3,000.  So the volume would be 3,000 feet cubed.

4. What is the unit rate for a pound of seed? Circle the correct answer choice.Pounds of Seed
10
20
Total Cost
$17.50
$35.00
$52.50
$70.00
30
40
$3.50
$1.75
$17.50
$7.25

Answers

Answer:  B) $1.75

===================================================

Explanation:

To get the unit cost, we divide the total cost over the number of pounds.

We can do this for any row

  • row one: ($17.50)/(10) = $1.75
  • row two: ($35.00)/(20) = $1.75
  • row three: ($52.50)/(30) = $1.75
  • row four: ($70.00)/(40) = $1.75

You don't need to show all four row calculations. You can simply pick one row.

This tells us that each pound costs $1.75

Put another way: the price is $1.75 per pound

In one day, Annie traveled 5 times the sum of the number of hours brian traveled and 2. Together they traveled 20 hours. Find the number of hours each person traveled

Answers

Brian traveled 1 2/3 hours while Annie traveled 18 1/3 hours.

Explanation:
Let b be the number of hours Brian travels. Annie travles 5 times the sum of Brian's hours and 2, or 5(b+2). Together they travel 20 hours:
5(b+2)+b=20.

Use the distributive property:
5*b+5*2+b=20
5b+10+b=20.

Combine like terms:
6b+10=20.

Subtract 10 from both sides:
6b+10-10=20-10
6b=10.

Divide both sides by 6:
6b/6=10/6
b=5/3=1 2/3.

Brian travels 1 2/3 hours. This means Annie travels
5(1 2/3+2)=5(3 2/3)=5(11/3)=55/3=18 1/3 hours.

Annie and Brian traveled 18.3 hours and 1.7 hours respectively

Further explanation

Simultaneous Linear Equations can be solved using one of the following methods :

  • Elimination Method
  • Substitution Method
  • Graph Method

Let's try to solve the problem now.

Let :

Annie's number of hours = A

Brian's number of hours = B

If Annie traveled 5 times the sum of the number of hours brian traveled and 2 , then it could be written as :

\boxed {A = 5 * ( B + 2 )} → Equation 1

If together they traveled 20 hours , then it could also be written as :

\boxed {A + B = 20}

5 * ( B + 2 ) + B = 20  ← Equation 1

5B + 10 + B = 20

6B = 20 - 10

6B = 10

B = 10 / 6

B = (5)/(3) ~ hours

\boxed {\boxed {B \approx 1.7 ~ hours} }

A = 5 * ( (5)/(3) + 2 )

A = 5 * ( (5)/(3) + (6)/(3) )

A = 5 * ( (11)/(3) )

A = (55)/(3)

\boxed {\boxed {A \approx 18.3 ~ hours} }

Learn more

Answer details

Grade: High School

Subject: Mathematics

Chapter: Simultaneous Linear Equations

Keywords: Elimination , Substitution , Graph , Method , Linear , Equation , Simultaneous

Solve the system of linear equations below.6x + 3y = 33
4x + y = 15

x = 2, y = 7

x = -13, y = 7

x = - 2

3 , y = 12 2

3

x = 5, y = 1

Answers

Asking the Math Gods...

y=7 
x=2


Use the distributive property to find the value of 8(10 + 9).
152
82
89
97

Answers

The answer is 89 because you distribute the 8 to the 10 and then to the 9. 80+9=89
152 because 8x10=80 and 8x9=72 so 80+73=152

Could anyone please help me with this for Calculus AB? I'm not entirely sure if the answer I put down is correct or not; I got some funky graphs for it though.

Answers

Hi there! :)

C. has both jump and infinite discontinuity.

Evaluate both piecewise functions at x = 1;

1 / (x + 1) = 1 / ((1) + 1) = 1/2

2x - 1 = 2(1) - 1 = 1

As the piecewise functions contain different y-values when evaluated at

x = 1,  there is a jump discontinuity at x = 1.

However, the first function also contains a vertical asymptote or infinite discontinuity where it is undefined, or at x = -1. (1 / 0 = undefined). This means that the function also contains an infinite discontinuity.

Therefore, the correct choice is:

C. has both jump and infinite discontinuity.