If two opposite sides of a square are increased by 8 meters and the other sides are decreased by 5 meters, the area of the rectangle that is formed is 68 square meters. Find the area of the original square.

Answers

Answer 1

Answer:

21

Step-by-step explanation:

8 * 2 = 16

5 * 2 = 10

68 - 16 = 52 - 10 = 42.

The perimeter of the square is 42.

42 / 4 = 10.5. 10.5 is the length of a side.

10.5 * 2 = 21.


Related Questions

study of class attendance and grades among first-year students at a state university showed that, in general, students who missed a higher percent of their classes earned lower grades. Class attendance explained 36% of the variation in grade index among the students. What is the numerical value of the correlation between percent of classes attended and grade index?

Answers

Yess yes yes yes ffnjtssnm

4 kitchen assistants can prepare 10kg of vegetables in 45 minutes. How long would it take 25 assistants to prepare

Answers

2.5














If you add and divide do one it helps

The Lions won 35 out of 40 games this season. What fraction of the games did the Lions win?Write your answer in simplest form.___________________________________

Answers

Answer:

7/8

Step-by-step explanation:

Answer:

7/8

Step-by-step explanation:

Divide common factors from both the numerator and denominator. Divide 5 from both top and bottom:

(35/40)/(5/5) = 7/8

7/8 is your answer.

~

Is x a natural number

Answers

Answer:

no because natural numbers are positive integers (whole numbers) 1, 2, 3, etc., and sometimes zero as well. not variables

no x is not a natural number because it is 1

OPEN ENDED QUESTION
Rewrite the following problem using
commutative property of addition: -3 + 7

Answers

Answer:

4

Step-by-step explanation:

7+-3=4

Answer:

4

Step-by-step explanation:

Step 1:

7 + ( -3)

Step 2:

7 - 3

Answer:

4

Hope This Helps :)

Suppose 7 quarters, 4 dimes, 4 nickels, and 3 pennies are in a box. One coin is selected at random. What is the expected value of the money drawn from the box?

Answers

Since the quarters have a highest percentage. You would likely draw 25 cents from the box

State the horizontal asymptote of the rational function.
f(x) = quantity x plus nine divided by quantity x squared plus four x plus two

Answers

Answer:

there is no meme

Step-by-step explanation:

A line passes through (0, 2) and has a slope of 3. Which function's graph is parallel to this line?
A. f(x) = 2 O
B. f(x) = 3 O
C. f(x) = 2x O
D. f(x) = 3x o TUL earch​

Answers

ANSWER IS B 30

Step-by-step explanation:

The function's graph is parallel to this line is 3x.

What is equation of a straight line ?

The general equation of a straight line is y = mx + c, where m is the gradient or slope, and y = c is the value where the line cuts the y-axis. This number c is called as intercept.

From the question,

Parallel lines have same slope.

The slope given, m =3.

The function's graph is parallel to this line is 3x.

Hence the required answer is f(x)= 3x.

To learn more on equation of straight line click:

brainly.com/question/28951575

#SPJ2

Help. Your backyard is 10 feet longer than it is wide. Its area is 8624 square feet. Its width is Solve in quadratic equation.

Answers

Would you say 88in by 98in is correct?

work out the difference in minutes between 1 hour 25 minutes and 1 1/4 hours step by step please :)

Answers

[tex]\huge\boxed{\boxed{\bold{10\ \bftext{minutes}}}}[/tex]

[tex]\hrulefill[/tex]

First, let's change both of these times into just minutes. (We know that one hour is sixty minutes.)

[tex]\text{First time: } 1*60+25=60+25=85[/tex]

[tex]\text{Second time: } 1*60+\frac{1}{4}*60=60+15=75[/tex]

Now, just subtract:

[tex]85-75=\large\boxed{10}[/tex]

a gallon of paint can cover about 350 square feet of wall space. You have measured a wall to be 210 inches by 120 inches. Will one gallon of paint be enough to cover the wall?

Answers

1 foot = 12 inches.

210/12 = 17.5 feet

120/12 = 10 feet

17.5 x 10 = 175 square feet

175 is less than 350 so yes one gallon will be enough.

Answer: yes

Step-by-step explanation:  because it is only 175 ft of wall

12 x 3 x 8 + 3 + 1 - 100 x 2323

Answers

Answer:

-232008

Step-by-step explanation:

Order of Operations: BPEMDAS

Step 1: Write out expression

12 x 3 x 8 + 3 + 1 - 100 x 2323

Step 2: Multiply

36 x 8 + 3 + 1 - 100 x 2323

Step 3: Multiply

288 + 3 + 1 - 100 x 2323

Step 4: Multiply

288 + 3 + 1 - 232300

Step 5: Add

291 + 1 - 232300

Step 6: Add

292 - 232300

Step 7: Subtract

-232008

Answer

-232,008 is ans of this simplification

Please help!! What is the quotient??

Answers

4x10^4 should be the answer

10X10 in exponent form?

Answers

Answer:

[tex] {10}^{2} [/tex]

Step-by-step explanation:

10^2
10 to the power of 2

a well is being dug into the ground. the well needs to reach the depth of 120 feet. a machine can dig down in 12 minutes. what is the change in depth each minute the machine is digging​

Answers

Answer:

10 feet

Step-by-step explanation:

If r objects are being selected from a group of n distinct objects and order does matter, then this arrangement is known as a

Answers

Answer:

Permutation

Step-by-step explanation:

The term to describe the given statement is permutation.

When defining permutation, certain keywords such as order does matter and arrangement are used to describe permutation.

Take for instance:

The arrangement of 3 boys on a seat

Ways 4 friends can sit to take photographs

...are examples of permutation

Permutation of r objects in n distinct objects is calculated as:

[tex]^nP_r = \frac{n!}{(n -r)!}[/tex]

A scuba driver was swimming at an elevation of -8 meters. A shark was swimming at an elevation of -29 meters. Find the difference between these two elevations.

Answers

Answer:

-21

-29-(-8)=-21

Find the interest

earned:

$ 15,500 for 7.5 years

at 4.9% annual

compound interest

Answers

Answer:

In 7.5 years, you will have $21,665.07 - $15,000 = $6,665.07 Interest

Step-by-step explanation:

factor an expression:
(x²+x+1)²+3x(x²+x+1)-18x²​

Answers

Answer:

( x - 1 ) ^ 2 ( x ^ 2 + 7 x + 1 )

Step-by-step explanation:

Sorry about the spaces, thought it would make it look better!

A technician compares repair costs for two types of microwave ovens (type I and type II). He believes that the repair cost for type I ovens is greater than the repair cost for type II ovens. A sample of 61 type I ovens has a mean repair cost of $79.60, with a standard deviation of $23.47. A sample of 45 type II ovens has a mean repair cost of $75.25, with a standard deviation of $15.07. Conduct a hypothesis test of the technician's claim at the 0.05 level of significance. Let μ1 be the true mean repair cost for type I ovens and μ2 be the true mean repair cost for type II ovens.Step 3 of 4 : Determine the decision rule for rejecting the null hypothesis H0. Round the numerical portion of your answer to three decimal places.

Answers

The question is missing some parts. Here is the complete question.

A technician compares repair costs for two types of microwave ovens (type I and type II). He believes that the repair cost for type I ovens is greater than the repair cost in type II ovens. A samplle of 61 type I ovens has a mean repair cost of $79.60, with a standard deviation of $23.47. A sample of 45 type II ovens has a mean repair cost of $75.25, with standar deviation of $15.07. Conduct a hypothesis test of the technician's claim at the 0.05 level of significance. Let [tex]\mu_{1}[/tex] be the true mean repair cost for type I ovens and [tex]\mu_{2}[/tex] be the true mean repair cost for type II ovens.

Step 1 of 4: State null and alternative hypothesis for the test.

Step 2 of 4: Compute the value of test statistics. Round your answer to 2 decimal places.

Step 3 of 4: Determine the decision rule for rejecting the null hypothesis. Round the numerical portion of your answer to 3 decimal places.

Step 4 of 4: Make the decision for the hypothesis test. (Reject or fail to reject Null Hypothesis)

Answer and Step-by-step explanation:

First, state null and alternative hypothesis:

[tex]H_{0}: \mu_{1}=\mu_{2}[/tex]

[tex]H_{a}: \mu_{1}>\mu_{2}[/tex]

Use z-statistics:

[tex]z = \frac{x_{1}-x_{2}}{y}[/tex]

where x₁ and x₂ are the means and:

[tex]y=\sqrt{\frac{s_{1}^{2}}{n_{1}}+\frac{s_{2}^{2}}{n_{2}} }[/tex]

Calculating value of test stattistic:

[tex]y=\sqrt{\frac{(23.47)^{2}}{61}+\frac{75.25^{2}}{45} }[/tex]

[tex]y = \sqrt{9.030+5.046}[/tex]

[tex]y = \sqrt{14.076}[/tex]

y = 3.752

[tex]z = \frac{79.6-75.25}{3.752}[/tex]

z = 1.16

The test statistics is z = 1.16

The decision rule for rejecting null hypothesis is: [tex]\alpha[/tex] ≤ test statistics

Using z-score table, it is possible to determine p-value, which is:

p-value = 0.877

Comparing p-value with level of significance (α = 0.05):

0.877 > 0.05

Therefore, we fail to reject the null hypothesis.

Can you solve (x-2)(x+3)=5 by solving x-2=5 and x+3=5? Explain

Will MARK BRAINLIEST

Answers

Answer:

Yes you can.

Step-by-step explanation:

You can because you can just subsitute x-2=5 and x+3=5 into the equation.

Answer:

x=3±/5

Step-by-step explanation:

i don't actually know how to do certain symbols sorry but i hope you know what this means

What is the degree of the polynomial

Answers

I believe the degree of the polynomial is 3 because that is the highest exponent

two groups of people need to get to the top floor of a building. the first. group had 33 people, and its elevator can carry 6 people per trip. the second group has 49 people,but its elevator can carry 7 people per trip..... group 1 is represented by the equation 6x=33. solving the equation gives x what​

Answers

Step-by-step explanation:

6x = 33

or, x=33/6

x=5.5

what is -66 2/3 - 24 1/8 + -78 3/4

Answers

Answer:

-169.541667

Step-by-step explanation:

Answer:

Step-by-step explanation:

i belive your asnwer would be -257/24 but what are u trying to find?  

Dante’s cell phone company charges $45 per month for unlimited calls and texts,plus $0.25 per gigabyte of data.His last cell phone bill was $60.50.How many gigabytes of data did Dante use last month?

Answers

15.50 gigabytes were used last month

How many days equal 7344 minutes?

Answers

The answer is 5.1 days

60*24= 1440 minutes in one day

7344/1440= 5.093 or 5.1 rounded to the nearest tenth

Item 3 A snail travels 3/8 feet in 1/2 hour. How many feet does the snail travel in one hour? Express your answer in simplest form. 3/16ft 1/4ft 1/8ft 3/4ft

Answers

The answer in simplest form would be 3/4ft

If you get this you are a critical thinker. I enter the garden. There are 34 people. You kill 30. How many people are in the garden. Good luck! If you get it correct your answer will be deleted and l will message you to continue the game.

Answers

Answer:

35

Step-by-step explanation:

34+ you = 35

After killing still people are inside room.

State the domain and range in set notation​

Answers

Answer:

Image result for State the domain and range in set notation​

The domain is the set of all first elements of ordered pairs (x-coordinates). The range is the set of all second elements of ordered pairs (y-coordinates). Only the elements "used" by the relation or function constitute the range. Domain: all x-values that are to be used (independent values).

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

The last option is not complete, but since the first three options are incorrect, the last option is correct

PLEASE HELP IF YOU KNOW ​

Answers

Your answer is going to be A

Step-by-step explanation:

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