A rectangle sticker had a perimeter of 32 centimeters and a area of 48 square centimeters. what are the dimensions of the sticker

Answers

Answer 1

Answer:

4 cm ×12 cm

Step-by-step explanation:

To find the dimensions of the sticker, start by forming 2 equations for its area and perimeter.

Perimeter of rectangle= 2(length +breadth)

Let the length and breadth of the rectangle be L and B cm respectively.

2(L +B)= 32

Divide both sides by 2:

L +B= 16 -----(1)

Area of rectangle= length ×breadth

LB= 48 -----(2)

From (1): L= 16 -B -----(3)

Substitute (3) into (2):

(16 -B)(B)= 48

Expand:

16B -B²= 48

B² -16B +48= 0

(B -4)(B -12)= 0

B -4= 0 or B -12= 0

B= 4 or B= 12

Substitute into (3):

L= 16 -4 or L= 16 -12

L= 12 or L= 4

Thus, the dimensions of the sticker is 4 cm ×12 cm.


Related Questions

how to draw a model of 2 divided by 1/4

Answers

Answer: Answer below

Step-by-step explanation:

just draw 2 rectangles and draw 3 lines in each one to make 4 equal sections

A basketball team has 15 members, and 18 of them are sixth graders what percentage of the team is in sixth grade?

Answers

Answer:

120% are sixth graders

But, If you meant to say 18 basketball players and 15 6th graders, the percentage would be around 83.3%

120% but not sure if u meant to say 18 sixth graders

PLS HURRY ON CURRENTLY I WILL GIVE BRAINLIST


A box plot is titled Daily Reading Time and labeled Time (min). The left most point on the number line is 15 and the right most point is 55. The box is labeled 21 on the left edge and 48 on the right edge. A vertical line is drawn inside the rectangle at the point 37. The whiskers are labeled as 16 and 53

What information is provided by the box plot? (3 points)



The mean for the data


The median for the data


The number of students who provided information


The number of students who read for more than 21.5 minutes

Answers

Answer:

The right one is ........

A brick layer can build a wall in 6 hours and his apprentice would need 16 hours to build the same wall. When they work together, the apprentice works 5 hours longer than the brick layer. How many hours does each work

Answers

Answer:

Step-by-step explanation:

The brick layer builds ( 1 wall ) / ( 6 hrs )

That's the same as ( 1/6 wall ) / ( 1 hour )

------------------------------------

The apprentice builds ( 1 wall ) / ( 16 hrs )

That's the same as ( 1/16 wall ) / ( 1 hour )

--------------------------------------

Let t = the time that the brick layer works

t + 5 = the timer the apprentice works

-----------------------------------------

( brick layer's rate ) x ( brick layer's time ) +

( apprentice's rate ) x ( apprentice's time ) = 1

( 1 is the whole job )

-----------------------------------------

(1/6) · t + (1/16) · (t + 5) = 1

Multiply both sides by 48

8t + 3t + 15 = 48

11t = 33

t = 3

t + 5 = 8

the brick layer works 3 hrs

The apprentice works 8 hrs

----------------------------

Check:

(1/6) · t + (1/16) · (t + 5) = 1

(1/6) · 3 + (1/16) · (3 + 5) = 1

1/2 + 1/2 = 1

OK

please answer lol i need some help

Answers

I dont know the answer lol

A certain radionuclide is used to diagnose lymphoma. an atom of this radionuclide contains 31 protons and 36 neutrons. which statement is correct about the radionuclide? the atomic number is 31, the mass number is 67, and its symbol is superscript 67 subscript 31 baseline upper g a. the atomic number is 31, the mass number is 67, and its symbol is superscript 31 subscript 67 baseline upper g a. the atomic number is 67, the mass number is 31, and its symbol is superscript 67 subscript 31 baseline upper g a. the atomic number is 67, the mass number is 31, and its symbol is superscript 31 subscript 67 baseline upper g a.

Answers

The statement is correct about the radionuclide the atomic number is 31, the mass number is 67, and its symbol is superscript 67 subscript 31 baseline upper g a.

To answert the question, we need to know what an atom is.

What is an atom?

An atom is the smallest indivisible part of a substance. It is represented by letters.

It has an atomic number which is the number of protons or electrons present in an atom and is written as a subscript in from of the letter symbol.It has a mass number which is the number of protons plus neutrons in an atom and is written as a subscript in from of the letter symbol.

So, since the atom of this radionuclide contains 31 protons and 36 neutrons.

So, its atomic number is 31. Its mass number is number of protons + number of neutrons = 31 + 36 = 67. Its symbol is superscript 67 and subscript 31.

So, the statement is correct about the radionuclide the atomic number is 31, the mass number is 67, and its symbol is superscript 67 subscript 31 baseline upper g a.

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please help mehhhh quick​

Answers

Answer:

A

Step-by-step explanation:

If you read the sentences aloud, A is the only answer that makes grammatical sense, since colons are short pauses in sentences, much like commas. Colons are also commonly used for the beginning of a list, as shown here.

Hope this helped!

The answer is A! :) I hope this helped

The graph below represents data that was collected by students on the
number of social media posts they made the previous day.
SOCIAL MEDIA POSTS
umber of Students)
2
g





Question: what was the mean number of posts made?

Answers

The mean is the ratio of the actual number of observations to the sum of the observations. Then the mean will be 2.5.

What is Mean?

The average of a group of numbers is simply defined as the mean. In statistics, the mean is regarded as one of the indicators of central tendency. Arithmetic mean is a term used to describe the average.

The graph below represents data that was collected by students on the number of social media posts they made the previous day.

Then the mean will be

The sum of the observation will be

Observation sum = 4 + 2 + 2 + 3 + 3 + 2 + 1 +3

Observation sum = 20

Then the mean will be

Mean = 20/8

Mean = 2.5

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Dorothy is trying to lose weight. She is exercising and eating right
every day. She started out with a weight of 203 pounds. Each day, she
loses 1.5 pounds. What is her weight after 21.5 days? Round your
answer to the nearest tenth of a pound.

Answers

I accidentally deleted the thing that said answer but the answer is 170.7

Step-by-step explanation:

You multiply 1.5 times 21.5 you get 32.25 then you round and get 32.3 lastly you do 203 minus 32.3 to get 170.7.

My son would like to know what is the solution to Pi and i don't even know so I someone to help me with this!

Answers

Answer:

3.14285714

Step-by-step explanation:

[tex] \frac{22}{7} = 3.14285714[/tex]Stay safe, stay healthy and blessed.Stay safe, stay healthy and blessed.Have a good day !Stay safe, stay healthy and blessed.Have a good day !Thank you



Write a system of inequalities using the given graph

Answers

For dark line

(0,1)(-1,-4)

Slope

m=-4-1/-1=5

Equation in point slope form

y-1=5xy=5x+1

Put (0,0)

0<1

As line is dark sign is ≤

The inequality

y≤5x+1

For dashed line

(2,0)(0,-2)

Equation in intercept form

x/2-y/2=1x-y=2y=x-2

Put (0,0)

0>-2

Symbol is >

Inequality is

y>x-2

(giving brainliest and 40 points) a package of trail mix weighs \frac {7}{8} pound. raisins make up \frac {1}{10} of the trail mix. how much of the trail mix, in pounds, is raisins? move numbers to the boxes to show the answer. if there is no whole number, enter () in the first box. \frac {\square }{\square } 0 1 7 8 10 18 39 40 70 80

Answers

Answer:

  7/80 lb

Step-by-step explanation:

We are given that 1/10 of the 7/8 pound package is raisins.

__

The weight of raisins is ...

  (1/10)(7/8 lb) = 7/80 lb

This is a substitution problem


Mike has 12 computers in his classroom, some are PCs and some are Macs. There are two
Macs for every PC in his classroom. How many Pcs and Macs are there in Mike's classroom

Answers

Answer:4 PCs and 8 Macs

Step-by-step explanation:

They consists of equations and unknown variables. There are 4 PCs and 8 Mac in the room

System of equation

They consists of equations and unknown variables

Let the number of PCs be x

Let the number of Mac be y

If Mke has 12 computers, then;

x + y = 12

If there are two Macs for every PC in his classroom, then;

y = 2x

Substitute

x + 2x = 12

3x = 12

x = 4

Recall y = 2x

y = 2(4)

y = 8

There are 4 PCs and 8 Mac in the room

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Match the correct corresponding parts. Make sure your letters are in the correct order!!
SAT~GRE

Answers

Answer:

Step-by-step explanation:

Please help thanks!!!!!!

Answers

Answer:

See below ~

Step-by-step explanation:

Subpart (e) :

⇒ New volume = 2 x 3 x 2 x 4 x 2 x 5

⇒ New volume = 8 x 60

⇒ New volume = 480 in³

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

Subpart (f) :

⇒ New volume : Original volume

⇒ 480 : 60

1 : 8

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

Subpart (g) :

Step 1

⇒ SA = 2(6 × 9 + 9 × 11 + 6 × 11)

⇒ SA = 2(54 + 99 + 66)

⇒ SA = 2(219)

⇒ SA = 438 in²

Step 2

⇒ V = 6 × 9 × 11

⇒ V = 54 × 11

⇒ V = 594 in³

Step 3

⇒ New SA = 2 x 438

⇒ New SA = 876 in²

Step 4

⇒ New : Original

⇒ 876 : 438

2 : 1

Step 5

⇒ New V = 2³ x 594

⇒ New V = 8 × 594

⇒ New V = 4752 in³

Step 6

⇒ New : Original

⇒ 4752 : 594

8 : 1

Evaluate f(8): f(x) = x²-4​

Answers

Answer:

60

Step-by-step explanation:

[tex]\begin{aligned}f(x) & =x^2-4\\\implies f(8) & =(8)^2-4\\& =64-4\\& =60\end{aligned}[/tex]

(r^-7)^6 im looking for anwser

Answers

Answer:

( r^-7 )^6 = r^-42 ( in exponential form )

        ( or )

1 / r^42 ( in fractional form )

Step-by-step explanation:

( r^-7 )^6

Formula : -

( a^m )^n = a^( mn )

Here,

a = r

m = - 7

r = 6

mn

= - 7 * 6

= - 42

Hence,

( r^-7 )^6 = r^-42 ( in exponential form )

        ( or )

( r^-7 )^6 = 1 / r^42 ( in fractional form )

Rectangle QUAD has coordinates​ Q(0,0), ​U(0,​), ​A(​,​), and ​D(​,0). ​Q'U'A'D' is the image of QUAD after a dilation with center​ (0,0) and scale factor . What are the coordinates of point ​D'?

Answers

The coordinates of point ​D' are (36,0).

What is scale factor?

The scale factor is a measure for similar figures, who look the same but have different scales or measures.

QUAD has coordinates​ Q(0,0), ​U(0,3​), ​A(6,3​), and ​D(6​,0).

The scale factor for ​Q'U'A'D' is 6.

So, the coordinates of ​Q'U'A'D' after dilation is:

Q'(0,0), ​U'(0,3*6​), ​A'(6*6​,3*6​), and ​D'(6*6​,0).

and Q'(0,0), ​U'(0,18​), ​A'(36​,18), and ​D'(36​,0).

Hence, the coordinate of D' is (36,0).

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PLEASE HELP ME SOLVE THIS!!

Answers

Answer:

x = 18

Step-by-step explanation:

Let's find x :-

[tex] {x}^{2} - 11 + 3 = 180^{o} [/tex]

[tex] {x}^{2} - 8x = 180[/tex]

[tex] {x}^{2} = 8x - 180 = 0[/tex]

[tex](x - 18)(x + 10)[/tex]

[tex]x = 18[/tex]

GUYS PLEASE HELP LIKE ASAP

What is the mean, median, mode, and range of the
following data set? Be sure to label which
measurement you are referring to.
7,9,6,9, 7, 4,7

Answers

Answer:

if im not wrong all answers are 7

Step-by-step explanation:

if you add all the numbers u get 49 and if u divide by 7 cuz u have seven numbers. you should get 7 thats you mean. then for median if u put them from least to greatest ur middle number would still be seven and then your mode would be seven since seven shows up the most.

Calculate the area of ABC​
There's a mistake in the picture - AC is 5cm too

Answers

The answer is located at the bottom of the image attached

Help pls!!!!! Quickly pls worth 100 points!!!!!!!!!

Answers

Answer:

[tex]\sf m = \dfrac{2}{5}[/tex]

Explanation:

A system of equations will have no solution when:

1st equation = y = ax + b2nd equation = y = ax + c

Meaning they shall have the same slope but different constant.

Here given:

[tex]\sf y = \dfrac{2}{5} x - 7[/tex]       Here slope: 2/5  and constant: -7

Another equation:

[tex]\sf y = \dfrac{2}{5} x + 3[/tex]       Has the same slope but different constant.

Answer:

m = 2/5

Step-by-step explanation:

Understanding :

A system of equations have no solutions when they do not cross/intersect each other at any point.

This is only possible when the slopes of the lines are equal.

Solution :

Hence,

m = 2/5

A group of researchers want to determine whether type of psychotherapy has an effect on the number of PTSD symptoms in refugees. Specifically, they wan to determine if MDMA, a hallucinogenic drug given in a one-time dose, has a greater effect on reducing PTSD symptoms in refugees than the standard PTSD treatment or a placebo control. The researcher randomly assigns 60 people to 1 of the 3 treatment conditions. What is the alternative hypothesis in notation form? u1 =/ u2 =/ u3 p > 0 u1 = u2 = u3 It cannot be written in notation form.

Answers

The option u1 =/ u2 =/ u3 is correct if the researcher randomly assigns 60 people to 1 of the 3 treatment conditions.

What are the null hypothesis and alternative hypothesis?

The null and alternative hypotheses are two generalizations about a population that are strictly contradictory. The null hypothesis can be denoted by H₀ and the alternative hypothesis can be denoted by H₁.

We have:

A group of researchers wants to determine whether the type of psychotherapy has an effect on the number of PTSD symptoms in refugees.

As we can see in the problem, there are three treatment conditions are given.

Alternative hypothesis H₁: Not all means are equal

[tex]\rm H_0: \mu_1\neq \mu_2\neq \mu_3[/tex]

Thus, the option u1 =/ u2 =/ u3 is correct if the researcher randomly assigns 60 people to 1 of the 3 treatment conditions.

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Click “show your work” and graph the absolute value function shown below. f(x) =|x – 4| + 1

Answers

Answer: here u go

Step-by-step explanation:

Please help if you know!

Answers

Answer:

2.5 cups

Step-by-step explanation:

[tex]\frac{2}{12} =\frac{x}{15}[/tex] (x is the amount of cups of zucchini you will need to feed 15 people)

This proportion is showing that 2 cups of zucchini can feed 12 people, and we will use it to find how much zucchini we will need to feed 15 people.

Cross multiply

30 = 12x

divide both sides by 12 to isolate x

[tex]\frac{30}{12}[/tex] = x

2.5 = x

That is your answer

- Kan Academy Advance

What is the measure of ZRMN?
1179
M
R
N
[Not drawn to scale)
2270
639
1170
1639

Answers

Yes! Yup your right! Congrats yup!

Andy was practicing for a marathon. Each week he ran, he increased his distance by 3 km. If he ran 8 km the first week, after how many weeks will he be able to run 29 km?​

Answers

Answer:

Week 8

Step-by-step explanation:

week 1 8

week 2 11

week 3 14

week 4 17

week 5 20

week 6 23

week 7 26

week 8 29

у= 1/5x -4 #1
у= -4/1х + 3 | #2
X
y
у

Answers

the left is number 1 graphed. middle is number 2.

right is number 3.

A segment in the complex plane has a midpoint at 7 – 2i. if the segment has an endpoint at 11 – 3i, what is the other endpoint? –10 –2i 3 – i 9 – 2.5i 18 – 4i

Answers

[tex]~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ (\stackrel{x_1}{11}~,~\stackrel{y_1}{-3})\qquad (\stackrel{x_2}{x}~,~\stackrel{y_2}{y}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left(\cfrac{ x +11}{2}~~~ ,~~~ \cfrac{ y -3}{2} \right)~~ = ~~\stackrel{\stackrel{midpoint}{\downarrow }}{(7~~,~~-2}) \\\\[-0.35em] ~\dotfill[/tex]

[tex]\cfrac{ x +11}{2}~~ = ~~7\implies x+11=14\implies \boxed{x=3} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{ y -3}{2}~~ = ~~-2\implies y-3=-4\implies y=-1\implies y=-1i\implies \boxed{y=-i}[/tex]

Log5(2x)=4 can u please help me im bout to take a test

Answers

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

Let's solve ~

[tex]\qquad \sf  \dashrightarrow \: log_{5}(2x) = 4[/tex]

[tex]\qquad \sf  \dashrightarrow \: 2x= {5}^{4} [/tex]

[tex]\qquad \sf  \dashrightarrow \: 2x= 625[/tex]

[tex]\qquad \sf  \dashrightarrow \: x= 625 \div 2[/tex]

[tex]\qquad \sf  \dashrightarrow \:x = 312.5[/tex]

I Hope you understood the procedure ~

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a juggler needs both rings and bowling pins no more than 12 of these no less than 5 rings let x represent the rings and y the pins is 2-3y a binomial or a trinomial or polynomial or monomial Which of the following numbers is irrational?a fraction with numerator negative 15 and denominator 4, a fraction with numerator negative 7 and denominator 9, square root of 4, a fraction with numerator negative 15 and denominator 4 a fraction with numerator negative 7 and denominator 9 square root of 4 according to the preamble to the constitution what is one purpose of governmentA. To establish equality among all citizensB. To protect the rights of citizensC. To create wealth through foreign warsD. To outlaw violence Jim has been given the assignment to speak to his biology class on the function and structure of a cell. give some specific ideas of how he can approach this topic to make it clear and interesting for his classmates. how might he simplify the complex ideas and make the presentation fun and exciting A recipe for fruit punch calls for 3 liters of orange juice and 2 liters of pineapple juice. Jo creates a drink by mixing 4 liters of orange juice with 3 liters of pineapple juice.Which recipe will have the stronger pineapple taste? help me on this plsss I beg u I don't know this!!! 7. Diethyl ether burns in air according to the following equation. C4H10O(l) + 6O2 (g) 4CO2 (g) + 5H2O(l) If 7.15 L of CO2 is produced at a temperature of 125C and a pressure of 1.02 atm, what volume of oxygen, measured at STP, was consumed and what mass of diethyl ether was burned? 1. Despicably define the word Please help ASAP!George believes the Art Club students at his school have an unfair advantage in being assigned to the art class they request. He asked 500 students at his school the following questions: "Are you in the Art Club?" and "Did you get the art class you requested?" The results are shown in the table below: Art Club Not in Art Club TotalReceived art class requested 100 265 365Did not get art class requested 65 70 135Total 165 335 500Help George determine if all students at his school have an equal opportunity to get into the art class they requested. Show your work, and explain your process for determining the fairness of the class assignment process. Which of the following ways can be used to measure reaction rate?a Measure the rate that a reactant is used up c.a Measure the side reactionsb. Measure the amount that a product is . d. Estimate the heat given offformed Write down the names of subatomic particles and their masses in a.m.u with their unit charges. The Rural Electric Administration provided loans for building electric lines and tax credits for costs associated with the project. free electricity for on-time loan payments. employment for people doing the labor. free supplies, so the only cost was for the labor. positive things about being famous please help me next week it's a debate What do the authors of The New Psychology of Leadership say are important qualities that are often displayed by effective leaders? Choose two options. A. the ability to demonstrate fairness B. a willingness to take chances when necessary C. the readiness to sacrifice popularity for results D. a determination to succeed regardless of obstacles E. the effective use of words to shape a group identity Complete the sentence to describe the triangle shown.GHI is _____ and _____. What would help you decide if the price of a soda has increased or decreased? A) GDP B) Choice C) CPI D) Scarcity The Kakkar family is building a circular swimming pool. If the radius of the pool is 6 feet, What is its circumference? Use = 3.14 to solve. Other than temperature, state three examples where similar averages are associated with very different distributions. go deeper with one, and discuss how that might work in more detail What is similar between the shape and the character Dodecahedron? What is different about the way each uses its 12 faces?