What are the side lengths of the rectangle area 40 perimeter 26

Answers

Answer 1

Recall the formula for finding the area of a rectangle:

Area = Length × Width

Recall the formula for finding the perimeter of a rectangle:

Perimeter = 2 ( Length + Width )

Given in your problem:
Area = 40 sq. units
Perimeter = 26 units

Required to solve for:
Length (L) and width (W)

• First, substitute the given to the formula:

Area = Length x Width
  40 = L × W   ⇒ equation number 1

Perimeter = 2 ( Length + Width )
26 = 2 ( L + W ) ⇒ equation number 2

• Simplifying equation number 2,
13 = L + W

• Rearranging the equation,

L = 13 - W ⇒ equation 3

Substituting equation 3 from equation 1:

( equation 1 ) 40 = (L)(W)
( equation 3 ) L = 13 - W
   40 = (13 - W) (W)
40 = 13W - W²
( regrouping ) W² - 13W + 40 = 0
( factoring ) (W - 8) (W - 5) = 0
W - 8 = 0 ; W - 5 = 0
   W = 8 ; W = 5

Therefore, there are 2 possible values for the width of the rectangle. It can be 8 units or 5 units.

• Now to solve for the length of the rectangle, substitute the two values of width to equation 3.

(equation 3) L = 13 - W
for W = 8   ⇒ L = 13 - 8
L = 5 units

for W = 5   ⇒ L = 13 - 5
L = 8 units

Related Questions

The number 50 is no more than a number h times 2

Answers

That depend what #uou plug in for the variable h

The statement 'The number 50 is no more than a number h times 2' is an algebraic inequality stating that 50 is less than or equal to 2h. To solve for h, we divide 50 by 2, yielding h must be greater than or equal to 25.

The question "The number 50 is no more than a number h times 2" relates to a basic algebraic concept where we represent numbers or quantities using variables. The statement can be translated into an inequality that states 50 is less than or equal to 2 times a number h, or mathematically, 50 <= 2h. This could be solved for h by dividing both sides of the inequality by 2, resulting in h >= 25.

The Daily Focus newspaper has a circulation of 382 198. Round this number to the nearest 100 000.

Answers

390000 because the 82 rounds up to a nine

A rectangular picture is 7 inches long and 5 inches wide. What is the area of the picture? A. 35 in² B. 35 in. C. 24 in. D. 24 in²

Answers

The answer is B) 35 inches.

A. 35 in. squared is the answer because 7 times 5 equals 35

I’m on khan academy(6th grade math) and I’m confused so here’s the question
“ Hanna is recovering hundreds of treasure chests from an ancient shipwreck. She is able to recover 8 chest every 4 hours
Complete the table using equivalent ratios.”
The table is:
8 chests every 4 hours
12 chests every 6 hours
10 chests every _(blank)_ hours
So yea I did the middle one myself but I’m stuck on the last one

Answers

I think it’s 5 hrs I’m not sur though but that was I think it is

8/4=2. So 2 chests per hour would be recovered. 10/2=5. So the answer is 10 chests every 5 hours.

draw a polygon that has 2 pairs of parallel sides, 2 pairs of sides equal in length 2 acute and 2 obtuse angles

Answers

I don't think that I could show you on this website. Sorry.

the polygon is called a rhombus

a candy machine contains 120 spherical kids each candy is solid and has diameter of 0.25 in what is the total volume of the candies in the machine

Answers

Final answer:

The total volume of the candies in the machine is approximately 0.981 cubic inches.

Explanation:

To find the total volume of the candies in the machine, we first need to calculate the volume of one candy. The diameter of each candy is 0.25 inches, so the radius is half of the diameter, which is 0.125 inches. The formula for the volume of a sphere is V = (4/3)πr³. Plugging in the values, we get V = (4/3)π(0.125)³ = 0.0081777 cubic inches.

Since there are 120 candies in the machine, we can multiply the volume of one candy by the number of candies to get the total volume. Total Volume = 120 * 0.0081777 = 0.981324 cubic inches.

Trying to graduate with in the next week please help!

Answers

The Answer to your question is D. 1 and 2

Angle 1 and angle 2 hope this helps

Easy 7th grade pre algebra!

Help!

Answers

Statement A is the false one.

f(x)=(2x+1)(3x-2)
The zero product property says that f(x)=0 when either (2x+1)=0, or (3x-2)=0, or both.
We also know that the zeroes of an equation are the values of x when f(x)=0.
So f(x)=0 when (2x+1)=0 or (3x-2)=0 => x=-1/2 or when x=2/3. which are the roots of f(x).

A. the y-intercepts have nothing to do with the zeroes of f(x).
B. By definition of zero of a function, it is true that the values of x when f(x)=0 are the zeroes of f(x).
C. The zeroes of f(x) are the same as the ones calculated above, so it is true.
D. The x-intercepts of the lines are basically the zeroes of the function f(x), as explained above. So the statement is true.

Rewrite the following equation in slope-intercept form. 6x − 14y = -3 Write your answer using integers, proper fractions, and improper fractions in simplest form.

Answers

Answer:
y = (3/7) x + (3/14)

Explanation:
The slope-intercept form has the following formula:
y = mx + c
where:
m is the slope
c is the y-intercept

The given is:
6x - 14y = -3

To get in the slope-intercept form, we need to isolate the y as follows:
6x - 14y = -3
14y = 6x + 3
y = (6/14)x + (3/14)
y = (3/7) x + (3/14)

Hope this helps :)

Y=0
6x = -3
X= -2

X=0
-14y=-3
Y= 3/14

What is the value of the underlined digit?

5,682, 450,003

A. eighty thousand
B. eighty million
C. eighty-two million
D. eighty billion

Answers

Which digit is underlined

Your answer is C.. If i am incorrect, then i am sorry..

how many ways can you arange the letters in the word cube

Answers

You could four times because there are four letters in the word cube, so there are only four possible ways you could spell it.

Hope this helps:)
Plz rate branliest

at a local gas station, regular gasoline sells for $2.899 per gallon, while premium gasoline sells for $3.379 per gallon. how much does a person save on 15.25 gallons of gas by buying regular instead of premium?

Answers

the person saved $7.32

We first need to find what each type of gasoline equals at 15.25 gallons.
Regular Gasoline:
2.899•15.25
44.20975
Premium Gasoline:
3.379•15.25
51.52975
Let’s subtract regular from premium to see how much you would save.
51.52975-44.20975
7.31975
So you would save $7.31975 when buying regular gas instead of premium.

PLEASE HELP! What is the value of x?

Answers

It is a rectangle so its opposite sides are congruent. Because they are congruent we can set them equal to each other and solve for x.

40 = 5x + 10
30 = 5x
6 = x

So the value of x is 6.

The two sides are congruent so the value of x can be found with the equation 5x+10=40.

5x+10-10=40-10

5x=30

5x/5=30/5

x=6

Starting at home, Ishaan traveled uphill to the gift store for 18 minutes at just 10 mph. He then traveled back home along the same path downhill at a speed of 30 mph.

What is his average speed for the entire trip from home to the gift store and back?

Answers

D=TxR
D=18 minutes x 10 miles/hr
D= 180 minutes miles / hr 1 hr/60 minutes
D= 3 miles

T= D/R T= 3 miles/ 30 miles/ hr T= 1/10/hr 6 minutes

It took Ishaan 24 minutes to go 6 miles so his average speed is D/T=R
6miles/24minutes=miles/hr 1 miles/4 minutes x 60 minutes/hr = 15 miles/hr
Ishaan's average speed was 15 mph.

Of all the people that attend movies 67% are in the 12-29 age group. At one theater 500 people attended a showing of a certain movie. How many were in the 12-29 age group

Answers

You do 500 people times .67 to get the answer. The answer is 335 people

Ken is a tour guide at an art museum. He earns $11 an hour regular pay and receives time-and-a-half for overtime. Last week he worked 40 hours plus overtime. If he made $66.00 in overtime, how many overtime time hours did he work?

Answers

He earns $16.50 for one hour of overtime.
He worked 4 hour of overtime.
I figured this out by first finding out how much he earns in one overtime so that equals $16.50. Then you need to divide $66.00 by $16.50 to get 4.

Answer:

Ken worked 4 hours overtime.

Step-by-step explanation:

Ken earns $11 for an hour in his regular pay.

He receives time-and-a-half for overtime = $11 + (11/2) = 11 + 5.50 = $16.50

Ken worked 40 hours plus overtime and he made $66.00 in his overtime.

So he worked overtime = $66.00 ÷ 16.50 = 4 hours

Ken worked 4 hours overtime.

what is the greatest common factor (GCF) OF 88 and 72?

Answers

The Greates Common Factor (GCF) is: 2 x 2 x 2 = 8

The GCF of 72 and 88 is 8. 8 is the highest number that both of these numbers are divisible by.
Answer: 8

50 POINT QUESTION. ANSWER AND EXPLAIN HOW YOU GOT THE ANSWER. IF NOT, YOU GET REPORTED. THANK YOU VERY MUCH !
In the morning, a farm worker packed 3 pints of strawberries every 4 minutes. In the afternoon, she packed 2 pints of strawberries every 3 minutes. What was the difference between her morning and afternoon packing rates, in pints per hour?

A. 5
B. 10
C. 40
D. 45

Answers

A. 5
her morning packing rate was 45 pints per hour.
her afternoon packing rate was 40 pints per hour.

Edit:
By dividing 60 by 4, you get 15, so multiply 15 by 3, this gives you 45.
By dividing 60 by 3, you get 20, so multiply 20 by 2, this gives you 40

3 pints every 4 minutes = ? pints every 60 minutes.
2 pints every 3 minutes = ? pints every 60 minutes.

For the first one, just divide 60/4. That is 15. 15*3 = 45, so 45 pints every hour.

Do the same process for the second equation. (60/3) * 2 = 40

Finally, 45-40=5.

The answer is A.

Hope that helps!

victor has the map scale missing.he knows the distance from the lake to the youth center is 8 miles. on the map they are 2in. apart. what is the scale for victors map

Answers

The correct scale is 1 in = 4 mi.

Explanation:

The scale tells us what a given measurement on the map equals in real-life distance.

The measurement on the map that we have is 2 inches, and it equals 8 miles:

2 in = 8 mi

This can also be written as 2/8. This fraction can be simplified, since both 2 and 8 are divisible by 2; it will simplify to 1/4. This is the same as
1 in = 4 mi.

Answer:

The correct scale is 1 inch = 4 miles.

Step-by-step explanation:

Map scale is defined as the ratio between the marked distance on a map to the corresponding distance on the ground.

Here, it is given that the measurement on the map is 2 inches, and it equals to 8 miles; so 2 inches = 8 miles

Simplifying this we get:

1 inch = 4 miles.

Hence, the scale is 1 inch equals 4 miles.

HELP ME PLEASE!!!! Giving 40 points!!!!!!!

What is the area of this figure?

Enter your answer in the box.

Explain how you got the answer as well please.

Answers

for the rectangle: l x w = Area
l = 18
w = 18

18 x 18 = 324

If 16m is for dash line

1/2bh
1/2(16)(16)
4(16) = 64

1/2bh
1/2(8)16
8(8) = 64

324 + 64 + 64 = 452

Your area should be 452m²

hope this helps

15 points just please help and dont guess

Answers

The answer is the first one, because the number of tires properly installed on Monday will not be the same as everyday.

The answer is A
Hope I helped!

Please help me!!! WITH MATH
30 points for this and brainliest!
Answer all question and don't steal the points or i will report.

Answers

1. I think A is 5 because it is the lower quartile range

2. The median of the data is 56 because the median of a plot is in the middle of the data

3. The greatest value of the data plot is 45 because it is higher than the rest of the numbers (upper quartile range).

4. The median of the plot is 41 because if you look at the box-whisker plot you can see that it is in the middle of the box

5. Your answer would be 42 because on a box-whisker plot, the first quartile is on the side of the box(first quartile).

Hope this helps :)
Pls mark as BRAINLIEST!

Answer:

1. I think A is 5 because it is the lower quartile range

2. The median of the data is 56 because the median of a plot is in the middle of the data

3. The greatest value of the data plot is 45 because it is higher than the rest of the numbers (upper quartile range).

4. The median of the plot is 41 because if you look at the box-whisker plot you can see that it is in the middle of the box

5. Your answer would be 42 because on a box-whisker plot, the first quartile is on the side of the box(first quartile).

Hope this helps :)

Pls mark as BRAINLIEST!

Step-by-step explanation:

The function f is defined by f(x) x2 +3x-10.

If fx +5)x2 +kx+30, k = [?]

Find the smallest zero of f(x+5). x = [?]

Answers

f(x+5)=(x+5)²+3(x+5)-10
f(x)=x²+10x+25+3x+15-10
f(x)=x²+13x+30
k=13

x²+13x+30=0
(x+3)(x+10)=0
x=-3 or -10
the smallest zeros is x=-10

Answer:

K=13

X=-10

Step-by-step explanation:

Joseph borrowed a book from a library. The library charged a fixed rental for the book and a late fee for every day the book was overdue. The expression below shows the charges Joseph paid for the book when he returned it x days after the due date: 2 + 0.25x What does the coefficient of the expression represent?

Answers

The coefficient, 0.25, of the expression represents the late fee for every day the book was overdue.

And the constant, 2, represents the fixed rental fee.

The variable, x, represents the number of days Joseph had the book for.

Hope this helps :)

I BEG YOU MY FRIENDS HELP ME!

Answers

The maximum point is (3,4) so a<0.The axis of synmentry is x=3.The maximum value is 4.

How do I find the prime factorization of 40? And what is prime factorization?

Answers

Prime factorization is a way of showing which prime numbers (numbers that can only be divided by one and itself) can go into a number. For instance, the prime factorization of 4 would be 2 x 2. Two can only be divided by one and itself, so it is a prime number, and 2 x 2 = 4. For larger numbers, divide by a prime number until the number that is being divided is a prime number. Each divisor will be used as part of the prime factorization. The final dividend will also be used. Add the dividend, order each divisor from least to greatest, and then you're done. Therefore, the prime factorization of 40 would be 2 x 2 x 2 x 5.

Final answer:

Prime factorization is finding the prime numbers that multiply to create the original number. The prime factorization of 40 is 2³ × 5.

Explanation:

Prime factorization is the process of breaking down a composite number into the prime numbers that, when multiplied together, give the original number. To find the prime factorization of 40, you would start by finding two numbers that multiply to give you 40. You could start with 4 × 10. Since 4 is not a prime number, it can be further broken down into 2 × 2. The number 10 can also be broken into prime factors 2 × 5. Therefore, the prime factorization of 40 is 2 × 2 × 2 × 5, or 2³ × 5.

I need help with this:

The volume of a cube is 729 cubic units. What expression makes 729?

Answers

[tex] {9}^{3} [/tex] ..nine cubed. If you multiply 9×9×9 you will get 729

If g(x) = x3 + 4x2 + 5x + 2, which statement is true?

Answers

Which statements, do you have any pics of the statements?

Answer:

If g(x) = x3 + 4x2 + 5x + 2, which statement is true?

Step-by-step explanation:

The function g(x) intersects the x-axis the same number of times as the function f(x).

The function g(x) intersects the x-axis more times than the function f(x).

The function g(x) does not intersect the x-axis.

The function g(x) intersects the x-axis fewer times than the function f(x

What fraction is equivalent to 4/10

Answers

To get equivalent fraction, we multiply or divide the numerator and denominator by the same number

[tex] \dfrac{4}{10} = \dfrac{4 \div 2}{10 \div 2} = \dfrac{2}{5}[/tex]

[tex]\text {So } \dfrac{4}{10} \text { is equivalent to } \dfrac{2}{5}[/tex]

4 / 10 = 2 / 5

The fraction equivalent to 4 /10 can be gotten by reducing the actual fraction to it lowest term.

Therefore, let's divide the numerator and denominator by 2.

4 / 10 ÷ 2 / 2 = 2 / 5

The fraction equivalent to 4 / 10 is 2 /5 .

read more: https://brainly.com/question/189315?referrer=searchResults

Two supplementary angles have the same measurements of 2x - 8 and 8x - 12. What is the measurement of the largest angle?

Answers

Supplementary angles add up to 180 degrees.
2x - 8 + 8x - 12 = 180
10x - 20 = 180
10x = 200
x = 20

Angle 1 = 32
Angle 2 = 148
The measure of the largest angle is 148

Hope this helps =)

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