the length of a rectangle is 10 meters more than the width. if the perimeter is 72 meters, what are the length and width?

Answers

Answer 1

Check the picture below.

The Length Of A Rectangle Is 10 Meters More Than The Width. If The Perimeter Is 72 Meters, What Are The
Answer 2

Step-by-step explanation:

let's say a is length, and b is width:

a = 10 + b

after this, we can write:

2(a + b) = 72

2(10 + b + b) = 72

2(10 + 2b) = 72

20 + 4b = 72

4b = 72 - 20

4b = 52

b = 52 ÷ 4

b = 13

if b = 13, then a = 10 + b = 10 + 13 = 23

so: a = 23 and b = 13


Related Questions

A population of bacteria is initially 2,000. After three hours the population is 1,000.

Assuming this rate of decay continues, find the exponential function that represents the size of the bacteria population after t hours. Write your answer in the form f(t)=a(b)t. Report numbers as fractions when necessary, or if using decimals, round to four decimal places.

Answers

The population starts at 2000, so a=2000.

We also know that the population in 3 hours is 1000, so we can setup the equation:

     2000 b^3 = 1000

This gets us:

    b^3 = 1/2

And taking the cube root of both sides gives us:

    b ≈ 0.7937005259841

Rounding that to 4 places, we have:

    f(t) = 2000 (0.7937)^t

You charge $1625 on your credit card that adds 8.2% intere don't make any payments, what will your balance be after 4 years compounded continuously?"​

Answers

Answer:$2227.22

Step-by-step explanation: I answered your question in your comment. If its not right report it please.

Math
........................................................................

Answers

Answer:

i believe the and\swe is g because it is located within the boundaries of plane p but is on a line (not the green segments) that goes outside of plane p

Step-by-step explanation:

6.2 Margin of error and the confidence interval. A study of stress on the campus of your university using the College Undergraduate Stress Scale (CUSS) reported an average stress level of 1123 (a higher score indicating more stress) with a margin of error of 43 for 95% confidence. The study was based on a random sample of 400 undergraduates. a. Give the 95% confidence interval. b. If you wanted 99% confidence for the same study, would your margin of error be greater than, equal to, or less than 43

Answers

Using confidence interval concepts, it is found that:

a. The 95% confidence interval is (1080, 1166).

b. The margin of error would be greater than 43.

Item a:

The interval is the sample mean plus/minus the margin of error, hence:

[tex]1123 - 43 = 1080[/tex]

[tex]1123 + 43 = 1166[/tex]

The 95% confidence interval is (1080, 1166).

Item b:

The margin of error is direct proportional to the critical value.The higher the confidence level, the higher the critical value, and thus, the higher the margin of error.

Hence: The margin of error would be greater than 43.

A similar problem is given at https://brainly.com/question/25675821

Please help me ASAP this has limited time olease

Answers

Answer:

x= 67

Step-by-step explanation:

Angle CGE makes a 23 degree angle, and makes a 90 degree angle with CGB.

By subtracting 90 and 23, you get 67 degrees for the angle EGB.

Since angle EGB and angle AGF are vertical angles, they are the same. So, x would equal 67.

Answer:

x = 67°

Step-by-step explanation:

Solving for x

We know that AGC is a right angle, thus AGD has to be a right triangle as well. Angle CGE is 23°, which would mean that FGD is also 23°.

90°-23°=67°

A family buys airline tickets online. Each ticket costs $208. The family buys travel
insurance with each ticket that costs $16 per ticket. The web site charges a fee of
$22 for the entire purchase. The family is charged a total of $1142. How many
tickets did the family buy

Answers

the family brought 2271 tickets.

Answer:

5 tickets

Step-by-step explanation:

Each ticket costs $224 including the travel insurance and they are charged $22 regardless of the number of tickets they buy.

Therefore, the equation is 224x + 22 = 1142

First, you have to subtract the 22 from both sides to amount to 224x = 1120

Now, you divide 224 from 1120 to get 5

The family bought 5 tickets.

A

Triangle ABC is right-angled at A, and AD is the altitude from A to the hypotenuse BC.
Find x

Answers

Answer:

Step-by-step explanation:

5 x 6:30

emily ran 3 3/4 miles in 5 hours what unit rate for miles per hour did she run

Answers

Answer: The answer is 3

Step-by-step explanation:

:]

in a box of chocolate 1/5 are plain chocolate 1/3 are white chocolate the rest are white​

Answers

...ok and?

finish the question

Answer:

Step-by-step explanation:

[tex]\frac{1}{5}+\frac{1}{3}+x=1[/tex]

[tex]\frac{3}{15}+\frac{5}{15}+x=\frac{1.15}{15}[/tex]

[tex]\frac{8}{15} + x=\frac{15}{15}[/tex]

[tex]\frac{8}{15} - \frac{8}{15} + x=\frac{15}{15}-\frac{8}{15}[/tex]

[tex]x=\frac{7}{15}[/tex]

I think you are missing the question but I bet you are looking for the rest of chocolate in the box.

Determine the greatest common factor of the numbers 24 and 56

Answers

Answer:

8

Step-by-step explanation:

yw :)

What is the average rate of change of the functionf (x) = 20(1/4)^xfrom x = 1 to x = 2?​

Answers

Step-by-step explanation:

the average rate of change of a function f(x) between two values of x is

(f(x2) - f(x1)) / (x2 - x1)

f(x) = 20× (1/4)^x

x1 = 1

x2 = 2

f(x2) = 20× (1/4)² = 20/16 = 5/4

f(x1) = 20× (1/4)¹ = 20/4 = 5

(5/4 - 5) / (2 - 1) = (5/4 - 20/4) / 1 = -15/4

the average rate of change is -15/4.

Help help help help help help math sucks help

Answers

-24,16
16,8
-8,-24
Hope this helps.

A triangle has an angle that measures 60°. The other two angles are in a ratio of 3:5. What are the measures of those two angles?

Answers

Answer:

180

Step-by-step explanation:

all 3 angles of all triangles sum to 180

if one angle = 60, the other two angles sum to 120

a 3:5 ratio means one angle is 3/8 of 120 and the other is 5/8 of 120

3/8 times 120 = 3(120)/8 = 3(15)= 45 degrees

5/8 times 120 = 5(120)/8 = 5(15) = 75 degrees

45+75 = 120

120+60 = 180 degrees = sum of all 3 angles

in case you need an explanation and can I be get brainlest?

What is the cost of 4 pounds of apples, if 3 pounds of apples cost $5.28 and the unit price for each pound of apples is the same? *
10 points
A $6.28
B $7.04
C $12.32
D $7.40
Help please:)

Answers

Answer:

B. $7.04

Step-by-step explanation:

5.28 / 3 = 1.76

1.76 x 4 = 7.04

someone please help me on this anyone pls no link :(​

Answers

9514 1404 393

Answer:

  The correct answer is marked. (8·3)

Step-by-step explanation:

The order of operations requires that you start with by evaluating expressions in parentheses. Within parentheses, the order of operations applies, so you need to do multiplication before addition.

In this expression, the multiplication operation inside the parentheses is performed first. That is, you first compute 8·3.

_____

Additional comment

After that, you do the subtraction, to get ...

  11 ÷ (-12) +2⁴

Then the exponential term is evaluated, and you have ...

  11 ÷ (-12) +16

The division will result in a fraction, making it ...

  (-11/12) +16

And, finally, the addition gives you ...

  15 1/12

How do you find the answer for 30=6x+20

Answers

Answer:

5/4

Step-by-step explanation:

How do you find the answer for 30=6x+20?

solve for x

30 = 6x + 20

10 = 6x

x = 10/6

semplify

5/4

------------------ check

30 = 6 * 10/6 + 20

30 = 10 + 20

30 = 30

the answer is good

Timmy has a total of 15 dimes and nickles i his pocket. He has 7 more dimes than nickels. How many dimes does he have.

Answers

Answer:

1.98 I think sorry if it's wrong

-6 10/9 divided by 6/5

Answers

Answer:

-160/27

Step-by-step explanation:

-160/27.
I hope this helps if I’m wrong I apologize

A.CED.A Garnetta owned 2400 shares of Metropolitan Corporation at a price of $45.50. The stock split 4-for-3. How was Garnetta financially affected by the split

Answers

Garnetta will have 3,200 shares worth $ 34,125 each.

Given that Garnetta owned 2400 shares of Metropolitan Corporation at a price of $ 45.50, and the stock split 4-for-3, to determine how Garnetta was financially affected by the split the following calculation must be performed:

3 = 2400 4 = X 4 x 2400/3 = X 9600/3 = X 3200 = X  (2400 x 45.50) / 3200 = X 109200/3200 = X 34.125 = X

Therefore, Garnetta will have 3,200 shares worth $ 34,125 each.

Learn more in https://brainly.com/question/13981349

A recipe calls for 2 cups of sugar for each 5 cups of flour. How many cups of sugar needed for 15 cups of flour?

Answers

Answer:

6 cups of sugar

Step-by-step explanation:

2/5=x/15

x=6

50 points + brainliest answer questions 7 and 8 with work and all

Answers

Answer:

7) m∠BHE = 146°

8) m∠BAC = 25°

Step-by-step explanation:

Question 7:

Given that, [tex]\displaystyle\mathsf{\overline{CD}\:||\:\overline{EF}}[/tex], and that [tex]\displaystyle\mathsf{\overline{AB}}[/tex] is a transveral.

We are also provided with the following measures of the angles: m∠DGH = 2x, and m∠FHB = 5x - 51.

∠DGH and ∠FHB are also corresponding angles, as they have corresponding positions on the same side of the transversal, [tex]\displaystyle\mathsf{\overline{AB}}[/tex]. These two angles also have the same measure.  

Solve for x:

In order to find the measure of ∠BHE, we could set up an equality statement on ∠DGH and ∠FHB to solve for the value of x.

m∠DGH = m∠FHB

2x = 5x - 51

Add 51 and subtract 2x from both sides of the equation:

2x -2x + 51  = 5x - 2x - 51 + 51

51 = 3x

Divide both sides by 3:

[tex]\displaystyle\mathsf{\frac{51}{3}\:=\:\frac{3x}{3}}[/tex]

x = 17

 m∠DGH = 2x = 2(17) = 34°,

 m∠FHB = 5x - 51 = 5(17) - 51 = 34°.

Since ∠FHB and ∠BHE are supplements (whose sum add up to 180°), we could determine the measure of ∠BHE as follows:

m∠BHE + m∠FHB  = 180°

m∠BHE + 34° = 180°

m∠BHE + 34°- 34° = 180°- 34°

m∠BHE = 146°.

Therefore, the measure of ∠BHE is 146°.

Question 8:

Given that ΔABC with [tex]\displaystyle\mathsf{\overline{AC}}[/tex] extended to D, and that m∠ABC = 63° and m∠BCD = 92°:

The Exterior Angle Theorem states that the measure of an exterior angle of a triangle is equal to the sum of the two nonadjacent interior angles. In other words: ∠BCD = ∠BAC + ∠ABC.  

Before we could apply the Exterior Angle Theorem, we must first find m∠BAC. Since ∠BCD and ∠BCA are supplements:

m∠BCD + m∠BCA = 180°

92° + m∠BCA = 180°

92° - 92°+ m∠BCA = 180° - 92°

m∠BCA = 88°

Solve for m∠BAC:

Now that we have the measure for ∠BCA, we can find m∠BAC by applying the Triangle Sum Theorem where it states that the sum of the interior angles of a triangle is equal to 180°.

m∠BCD + m∠ABC + m∠BAC = 180°

92° + 63° + m∠BAC  = 180°

125° + m∠BAC  = 180°

155° - 155° + m∠BAC  = 180° - 155°

m∠BAC  = 25°

Therefore, the measure of ∠BAC is 25°.

What is the answer to this question?

Answers

Answer:

The answer should be A.

Step-by-step explanation:

A garden table and a bench cost $907 combined. The garden table costs $43 less than the bench. What is the cost of the
bench?

Answers

907 - 43 = 864 / 2 = 432: 907 - 432 = 475

The garden table costs $432.

The bench costs $475.

475 + 432 = 907

I hope this helps! :)

What is the value of x in the solution to this system of equations?
y = x + 1
y = 5x + 13

Answers

Step-by-step explanation:

y=x+1

y=5x+13

=13x/1

=5x/x

mark is paid $12.45 and hour at his job.he works a shift of 4 hours and 20minutes. how much does john earn for this shift?​

Answers

Answer:

$53.95

Step-by-step explanation:

[Setting up an equation] 12.45x = y

         () x is time worked and y is money made

[Plugging-in time worked] 12.45(4 [tex]\frac{1}{3}[/tex]) = y

[Multiply] 53.95 = y

[Answer] y = $53.95

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Review:
Match each decimal with its equivalent simplified fraction.
NOTE: Simplified fractions may be in the improper fraction format.
0.25
[Choose]
0.14
[Choose ]
1.4
[Choose ]
0.4
[Choose ]
0.375
[Choose ]

Answers

Answer:

0.25-1/4

0.14-7/50

1.4-7/5

0.4-2/5

0.375-3/8

Can someone please help me with this? I will give brainlist :(

Answers

Answer:

2nd

Step-by-step explanation:

The second one

Write a recursive formula for An, the nth term of the sequence 80, -20,5, ....

Answers

Answer:

  a[1] = 80; a[n] = -a[n-1]/4

Step-by-step explanation:

The given sequence has a first term of 80 and a common ratio of -20/80 = -1/4. That is, each term is -1/4 times the previous one. The recursive formula is ...

  [tex]A_1=80\\A_{n}=-\dfrac{1}{4}\times A_{n-1}[/tex]

Please check the mcq in the following picture and thank you

Answers

Answer 2nd one

Step-by-step explanation:

domain for f(x) = -0.25(x − 4) 2 − 6

Answers

Answer:

The domain will be (-8,8), {x|x E R}

Step-by-step explanation:

The -8,8 has to be sideways on the right. Thats the answer.

Other Questions
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