Mathematics Middle School

A rectangular certificate has an area of 54 square inches. Its perimeter is 30 inches. What are the dimensions of the certificate?

Answers

Answer 1

Answer:

9x4 and 9+9+6+6

Step-by-step explanation:

9x4=54

A=54 in.

P=30 in.

9+9+6+6=30

Answer 2
Let the dimensions of the certificate be represented by x & y

given: perimeter is 30 inches. P = 2x + 2y

and area is 54 square inches A = xy

therefore 2x + 2y = 30 & xy = 54

solving for x, put y in respect to x, by dividing both sides of xy = 54 by x. y = 54/x

substitute the y value in 2x + 2y = 30

2x + 2(54/x) = 30

multiply the value of 2(54/x) = 108/x

2x + 108/x = 30

add the two terms on the left side with a common denominator of x and multiply both sides by x

2x² + 108 = 30x ==> x² - 15x + 54 = 0 (divide each term by 2 and subtract 15x from both sides)

(x - 9)(x - 6) = 0 (factor the left side of the equation)

x = 9 or x = 6 answer for one side of the certificate.

Now find the y value.

y = 54/x therefore when x = 9 then y = 6

or when x = 6 then y = 9.

the dimensions of the certificate is 9” by 6”

Related Questions

i need help please! :))

Answers

Draw a line that best represents the data inputs. Write the equation for that line y=mx+b. Then, find where the line has an x-value of 70 and see what the y value is. I would be able help more if the line of fit was drawn in.

the temperature in Alaska can reach -30 degrees Fahrenheit during the winter months it is colder in Antarctica than in the Alaska. which value could represent the temperature in Antartica
A. 25°F
B. -40°F
C. -25°F
D. 40°F​

Answers

Answer:

B. -40°F

Step-by-step explanation:

its- clearly lower than -30

the answer is - 25 which is c

Use benchmark fractions to compare 2/9 and 5/6. Part A Which of the following is a benchmark fraction Heather can use to compare the two fractions?

Answers

Answer:

30

Step-by-step explanation:

2/9 and 5/6 have a lcm of 30.

The answer I’ve got was 30 hope it’s right

Please answer quick! I've been stuck on this one a bit, I keep getting the wrong answer. (I'm not the best at math so maybe ya'll can help?) [tex]4/7=x/5[/tex]

Answers

Answer:

x= 5.6

Step-by-step explanation:

Basically, if you do 7÷5 it would equal 1.4 so you would have to multiply 4x1.4 which would equal 5.6.

In conclusion 4/7 = 5.6/5

PLS HELPP i need it lollll

Answers

Answer:

the first one is 8 and second is 5 without the x

Step-by-step explanation:

The first one is 8 and second one is 5 withoit x

please answer the 1 question in the picture, thanks

Answers

Answer:

40

Step-by-step explanation:

LxW=A

So 4x10=40

Hope this helps

A=bh

A=4 x 10

A=40

Therefore, the area of the parallelogram is 40 square centimeters.

The two-way table shows the number of students in a school who have cats and/or dogs as pets.


How many more students have cats than dogs?

25

22

7

3

Answers

The answer is 3

43-40 = 3

HELPP THIS IS MY LAST QUESTION

Each square in the picture below is 10cm^2.



If the pattern above is folded into a box, what is the surface area of the box?
A
60cm^2

B
50cm^2

C
10cm^2

D
6cm^2

Answers

Your answer would be a 60 CM squared because there are five additional boxes so you would do 10×6 because he would add the one box at the tennis and making 60 Siri answer would be a

Answer:

A 60cm^2

Step-by-step explanation:

The picture represents a cube. If each side of a cube is 10 cm squared then 10 multiplied by 6 equals 60. Therefore the answer is 60cm^2

pls helP!
will give brainlise

Answers

Answer:

A, D, E

Step-by-step explanation:

x and y should add up to 120 bc 180- 60= 120 so thats the only value we're missing

Answer: A, D, and E

Step-by-step explanation:

When you add up all the angles of a triangle it =180. SO you have to figure out what plus 60=180. A, D, and E all equaled to 180 when I added 60 to it

A particle travels along a straight line with a velocity of v(t) = e^t cos(3t) meters per second. What is the total distance, in meters, traveled by the particle during the time interval 0 ≤ t ≤ 1 seconds?
1.765
3.691
1.067
0.254

Answers

Answer:

321

Step-by-step explanation:

The area of a parallelogram is 54 ft2. If the base of the parallelogram is 6 feet, what is its height?

9 feet
9.5 feet
10 feet
8 feet
HELP ASAP

Answers

Answer:

9 feet

Step-by-step explanation:

Area of a parallelogram = base times height

Thus, 54 = 6h

where h = height

* divide each side by 6 *

54 / 6 = 9

6h / 6 = h

h = 9

Thus, the answer is A

The answer is 9 feet king

Please help. Find the value of X

Answers

Answer:

X=9

HOPE THIS HELPS

-Todo ❤️

Step-by-step explanation:

90+32+4+6x=180

-126. -126

6x=54

X=9

9=x
Minutes 32 from 90
You get 54 so set your equation to 58
6x+4=58
Minus four from both sides
6x=54
Divide by 6 to get the variable by itself
x=9

a 52 foot ladder is set against the side of a house so that it reaches 48 feet. If Jevonte grabs the ladder and pulls it 3 feet farther from the house, how far up the side of this house will the ladder reach now​

Answers

45 feet that would be the answer
Answer: 45 feet

Hope this helps :)

A: Increase the pressure to 2 atm
B: Decrease the volume of the water
C: Increase the size of the flame
D: Decrease the pressure to 0 atm

Answers

I believe it is A hope it helped!

IS MY ANSWER CORRECT?IF IT SNOT THAN GIVE ME THE RIGTH ANSWER ILL ONLY GIVE BRAINLIEST IF YOU GET IT CORRECT

Answers

Answer:

its c 21,14 because if u expand the cahart then those two numbers will be a pair

it’s c because i am iron man

4.) write a number that is a natural number
5.) write a number that is an irrational number

Answers

Natural number - 5
Irrational number - π
4 .) Any number such as 1-10 is a natural number, so any one of those could be used
5.) An irrational number is any number that can’t be written as a fraction, so the square root of any number would be a great example. One example is sq rt. 15

Hope this helps, May i please have brainliest :)

Find the area of the figure below:

Answers

Answer:

288

Step-by-step explanation:

Answer:

Step-by-step explanation:

First Part: Square

You need to multiply 16x16 to get 256

Second Part: Triangle

As you know triangle formula is b*h/2

So, Since one side is 16 do 16-8 to get 8. 8*8 would be 64

256+64 would be 320.

Area = 320

Each square represents one square foot. Estimate the area of the figure below.

Answers

Uhm I’m gonna go with 14?

Answer:

15 units^2

Step-by-step explanation:

You have to rearrange some pieces to make it into a rectangle. After that, you will have a 3 x 5 rectangle in which you will multiply the length and width because a=l x w.

a = l x w

a = 3 x 5

15 = 3 x 5

3 m 15 m 6 m Not diom to scale. Find the volume of the triangular prism.
1.) 7.5 m3
2.) 45 m3
3.) 9 m3
4.) 90 m3​

Answers

Answer:

69m^3

Step-by-step explanation:

5x3=15 divided by 2=7.5+7.5=15

3x6=18

18x3=54

54+15=69m^3

The volume of the triangular prism is 45 m³.

How do you find the volume of the triangular prism?

If x and y be the length and width of the base of a triangular prism respectively and z be the height of that prism, then the volume is 1/2 * xyz.

How to solve this problem?

Length of the base = 6m.

Width of the base = 3m.

Area of the base = 6*3 = 18 m²

Height of the triangular prism = 5m.

Then the volume of the triangular prism = 1/2 * 18 * 5 = 9 * 5 = 45 m³.

Therefore, the volume of the triangular prism is 45 m³. So, the second option is correct.

Learn more about volume of a triangular prism here -

https://brainly.com/question/17004095

#SPJ2

hey if anyone can pls answer this including a step - by - step explanation it would help me a lot ty! :)) (CORRECTLY ANSWERED)

Answers

You have to find the total number of computers to find the denominator: 72 + 112 + 711 = 895.To find the probability, you just have to set the number of the different kinds of computers as the numerator:72/895 = 0.080112/895 = 0.125711/895 = 0.794

HOPE THIS HELPED YOU :)

total number of computers =895 then plug in the the other types of computers and use as the denominator to find probability

Can anyone please help me with this?

Answers

9.83
Explanation: 6+8+10+10+12+13 = 59
There are 6 numbers so 59 divided by 6 is equal to 9.833… simplified it would be 9.83
The answer should be 9.83

A particle moves along the x-axis so that at any time t>0, its acceleration is given by a(t) = ln(3^t + 1). If the velocity of the particle is 4.7 at time t = 2, then the velocity of the particle at time t = 5 is...
16.330
11.630
6.930
7.895

Answers

Answer: The answer is 11.630

Step-by-step explanation:

anwser: 11.630


step by step explanation:

For Triangle ABC, what is the length of AB?
A 3
B 4
C 5
D 6

Answers

Answer:

its c

Step-by-step explanation:

Claudia and Jacob are planting wildflowers in their backyard flower garden. They bought a package of seeds with eight daisy seeds, sixteen sunflower seeds, and five bluebonnet seeds. Jacob opens the package and plants one seed. What is the compliment to the probability that Jacob will plant a daisy?

A. 5/29
B. 8/29
C. 16/29
D. 21/29

Answers

Answer:

B. 8/29

Step-by-step explanation:

Answer:

8/29

Step-by-step explanation:

There are 29 seeds of all plants in total. There are 8 daisy seeds. The probability of Jacob picked a daisy seed is 8/29 because there are 8 daisy seeds.

A St. Louis Cardinals hat costs $18. If there is 8% sales tax, what is the total cost of the hat including tax? *

Answers

Answer:

$19.44

Step-by-step explanation:

The total cost including tax is $19.44

What is the length of the paintbrush in centimeters?



A. 16,200 cm
B. 1,620 cm
C. 16.2 cm
D. 0.162 cm

HELPPPPP!!!!!!!

Answers

0.1626 WRONG ANSWER
B is the answer to this problem

help answer these 2 questions

Answers

This is the second one
for the answers use photo math. Take a picture of the equation and it will answer for you :)

I need this answer and i need it fast. 100 points,

Maria is conducting a survey to determine the ages of 100 dogs in an animal shelter.

Which of the following questions is an appropriate statistical question for this survey?


What is the number of dogs in the shelter that are more than 5 years old?

What is the average number of years a dog stays at the shelter?

How old is the youngest dog in the animal shelter?

How old is each dog in the animal shelter?

Answers

Answer:

I would believe the answer would be

What is the number of dogs in the shelter that are more than 5 years old?

I don't know for sure though so answer at your own risk :)

The first one I believe

I’ll give brainliest help ASAP

Answers

The answer is 3 1 2 4



1. 3. 2. 4. ...........

- Write an expression to represent the phrase: 4 less than b

Answers

y=b-4.. hope this helps
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