The length of a rectangle is 4 cm greater than its width. the perimeter is 32 cm. find the length of the rectangle. 12 cm 18 cm 10 cm 6 cm

Answers

Answer 1
So say the width of the rectangle is x, then the length would be x + 4 as it's 4cm greater. So you add all of the sides and you get 4x + 8 = 32
Subtract 8 from both sides and you're left with 4x = 24.
Divide both sides by 4 to get the value of x which is 6.
6 + 4 = 10.

Related Questions

PLZ ASAP, I NEED HELP ASAP
When 8668/25+4141/9-5533/25 is computed and written as a mixed number in simplest form, what is the fractional part of the mixed number, plz give the right answer

Thanks

Answers

I won't give you the answer because I am sure you are capable of finding it yourself once given a push, but what I would do is simplify all of the numbers into a mixed fraction (a b/c) and then go from there. Don't subtract the two numbers with the denominator of 25 first because they goes against PEMDAS. Change all of the fractions so they have like denominators, and once you solve it, just write the fraction part of the answer (b/c). If you have any other questions, just ask.

Evaluate the expression 2(8 - 4)^2 - 10 / 2

Answers

Answer:

27

Step-by-step explanation:

2(8 - 4)^2 - 10/2

Using the order PEMDAS, or parenthesis, exponents, multiplication, division, addition, subtraction, we will start with the parenthesis, or 8-4.

2(4)^2 - 10/2

Next is exponents.

2(16) - 10/2

And then multiplication.

32 - 10/2

Then division.

32 - 5

Finally, subtraction.

27

Therefore, the answer is 27.

A student scored 98 and 87 on his first two quizzes. Use a compound inequality to find the possible values for a third quiz score that would give him an average between 90 and 95 inclusive

Answers

90≤(98+87+s)/3≤95  multiply each expression by 3

270≤98+87+s≤285  combine like terms in center expression

270≤185+s≤285  subtract 185 from each expression

85≤s≤100

So the student can score from 85 through 100 to average from 90 to 95
Final answer:

The range of possible scores for the third quiz that would yield an average score between 90 and 95 is 85 to 100, inclusive.

Explanation:

The objective is to find the range of possible scores for the third quiz that would give an average score between 90 and 95, inclusive. As per the question, the sum of the student's first two quizzes is 98+87=185. If we denote the third quiz score as 'x', then the equation could be written as (185+x)/3 = average score. Considering the lower and upper limit of the average, we form two inequalities. For the lower limit, it's (185+x)/3 >= 90, which simplifies to x >= 270 - 185, thus x >= 85. For the upper limit, it's (185+x)/3 <= 95, which simplifies to x <= 285 - 185, thus x <= 100. So, the range of scores for the third quiz that would give an average between 90 and 95 inclusive is 85 <= x <= 100.

Learn more about Compound inequality here:

https://brainly.com/question/31904612

#SPJ3

The cross section of a square pyramid taken perpendicular to the base that passes through the top vertex produces which two-dimensional shape?

Note: Use all lowercase letters in your answer to receive credit.

Answers

I don't see a diagram, but it produces a triangle.

Answer:

triangle.  

Step-by-step explanation:

given: a square pyramid

to find : shape of cross section made when a plane perpendicular

             to base and passes through top vertex.                                                                  

when a plane cuts the square pyramid perpendicular to base and passes through top vertex we get a cross section made by its two equal slant height and side of the square.

therefore, we get a triangle or more specifically isosceles triangle.

picture is attached.

Which of the following rules represents the set of ordered pairs?
{(1, 2), (2, 3), (4, 5), (7, 8)}

ƒ(x ) = 2x + 1
ƒ(x ) = -x + 4
ƒ(x ) = x + 1

Answers

sub ur points into the answer choices to see which one is true. Keeping in mind that f(x) = y

f(x) = x + 1.....u will notice that if u sub in ur answer choices into this function, it come out true. 

f(x) = x + 1.....when x = 1 and y = 2 
2 = 1 + 1
2 = 2 (correct)

f(x) = x + 1...when x = 2 and y = 3
3 = 2 + 1
3 = 3 (correct)

it works for all ur points

so ur answer is : f(x) = x + 1 <==

Which property of addition is shown in the equation below?

      c + di + 0 + 0i = c + di
commutative propertyinverse propertyidentity propertyassociative property

Answers

Looks like Transitive Property

Answer:

C. identity property

Step-by-step explanation:

If babe ruth averaged 46 home runs per year, how many home runs did he hit in 12 years

Answers

If he averaged 46 per year, you can just multiply that average times the number of years.

46(12)=552 home runs

Answer:

He hit 552 home runs in 12 years

Step-by-step explanation:

To solve this problem, we will follow the steps below;

Using proportion;

Let x be the number of home runs he hits in 12 years

46 home runs = 1 year

    x                  = 12

cross -multiply

x × 1  = 46× 12

x =  552 home runs

Therefore, he hit 552 home runs in 12 years

If you quadruple the input of a function and the resulting output is one-fourth the original output, what may be true of the function? Check all that apply.

A. The function is inversely proportional.
B. The function is directly proportional.
C. More input results in less output.
D. More input results in more output.

Answers

Answer:

More input results in less output.
The function is inversely proportional.

Step-by-step explanation:

those two. other answer is completely wrong

If you quadruple the input of a function and the resulting output is one-fourth the original output, what may be true of the function? The correct options are A. The function is inversely proportional and C. More input results in less output.

In mathematical terms, let's consider the function as f(x), where x is the input, and f(x) is the output.

1. Option A: The function is inversely proportional.

If quadrupling the input (4x) leads to the output being one-fourth of the original output (1/4 f(x)), it implies that f(4x) = 1/4 f(x). Inverse proportionality means that as the input increases, the output decreases, and vice versa. In this case, increasing the input by a factor of 4 (4x) causes the output to reduce to one-fourth of its original value (1/4 f(x)), indicating an inverse relationship.

2. Option C: More input results in less output.

As mentioned earlier, quadrupling the input (4x) and obtaining an output of one-fourth the original (1/4 f(x)) demonstrates that increasing the input leads to a decrease in the output. When x increases, 4x (quadruple of x) will also increase, and as a result, f(4x) will be less than f(x). This aligns with the statement that more input results in less output.

It is important to understand the relationship between the input and output of a function. In this case, the given conditions indicate inverse proportionality and that increasing the input leads to a decrease in the output. Keep in mind that mathematics often deals with relationships between variables, and understanding such relationships can help solve various problems and make predictions about how a system behaves.

To know more about Quadruple here

https://brainly.com/question/30931743

#SPJ2

Quadrilateral OPQR is inscribed in circle N, as shown below. What is the measure of ∠ROP?


41
67
113
139

Answers

Answer:  The correct option is (A) 41°.

Step-by-step explanation:  Given that quadrilateral OPQR is inscribed in circle N as shown in the figure.

Also, ∠ROP = (x+17)°  and  ∠RQP = (6x-5)°.

We are to find the measure of ∠ROP.

Since quadrilateral OPQR is inscribed in a circle, so it is a cyclic quadrilateral.

We know that the sum of the measures of opposite angles of a cyclic quadrilateral is 180°.

So, in cyclic quadrilateral OPQR, we have

[tex]m\angle ROP+m\angle RQP=180^\circ\\\\\Rightarrow (x+17)^\circ+(6x-5)^\circ=180^\circ\\\\\Rightarrow (7x+12)^\circ=180^circ\\\\\Rightarrow 7x^\circ=168^\circ\\\\\Rightarrow x^\circ=\left(\dfrac{168}{7}\right)^\circ\\\\\Rightarrow x^\circ=24^\circ.[/tex]

Therefore, we get

[tex]m\angle ROP=(x+17)^\circ=(24+17)^\circ=41^\circ.[/tex]

Thus, the measure of angle ROP is 41°.

Option (A) is CORRECT.

What are the limitations of determining a function’s average rate of change by examining the function’s graph?

Answers

When using the graph of a function, it is possible to find the average rate of change over only those intervals whose endpoints are visible on the graph. you can also get only approximate values of f(x) from the graph.
Final answer:

The limitations of determining a function's average rate of change by examining the function's graph include incomplete information, the need for tangent lines, and limited interval-specific data.

Explanation:

When determining a function's average rate of change by examining the function's graph, there are several limitations to consider.

The graph may not provide enough information about the function's behavior between plotted points, leading to an inaccurate estimation of the average rate of change.A curved graph may require the use of tangent lines to calculate the instantaneous rate of change, which may not accurately represent the average rate of change.The graph may not show the function's behavior in different intervals or at certain points, making it difficult to determine the average rate of change for specific intervals or points.

These limitations highlight the importance of understanding the limitations of graph analysis and considering alternative methods, such as calculus, to accurately calculate the average rate of change of a function.

Find the area of a parallelogram with sides of 6 and 12 and an angle of 60°.

A: 72√3 sq. units
B: 36√3 sq. units
C: 12√3 sq. units

Answers

I think I got it. Correct me if I am wrong.

Parallelogram diagram I believe down below. We must find the height and then the area using Pythagorean theorem. Since the green shaded part is a 30-60-90 triangle, the base is 1/2 the hypotenuse, therefore it is 3. Now we calculate the height with it.

A^2 + B^2 = C^2
A^2 + 3^2 = 6^2
    A^2 + 9 = 36
          A^2 = 27
              A = 3√3

Therefore the height is 3√3

Now calculate the area using A = bh

A = bh
   = (12)(3√3)
   = 36√3

So the area is 36√3 square units.

I cannot be sure of this answer because you did not provide a diagram.

The area of the parallelogram will be equal to 363 square units.

What is an area?

The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the parallelogram in a two-dimensional plane is called the area of the parallelogram.

Parallelogram diagram I believe down below. We must find the height and then the area using the Pythagorean theorem. Since the green shaded part is a 30-60-90 triangle, the base is 1/2 the hypotenuse, therefore it is 3. Now we calculate the height with it.

A ² +   B²  =  C²

A²  +   3²   =  6²

A²  +   9    = 36

A²   =    27

A = 3√3

Therefore the height is 3√3. Now calculate the area using A = bh

A   =  b   x   h

A   =  ( 12 )   x   ( 3√3 )

A   =  36√3

So the area is 36√3 square units.

To know more about an area follow

https://brainly.com/question/25292087

#SPJ2


What are the coordinates of point P on the directed line segment from R to Q such that P is 5/6 the length of the line segment from R to Q? Round to the nearest tenth, if necessary.

Answers

Answer:  The required co-ordinates of the point 'P' are (-3.5, 2.3).

Step-by-step explanation:  We are to find the coordinates of point P on the directed line segment from R to Q such that P is 5/6 the length of the line segment from R to Q.

We are to find the co-ordinates of point 'P'.

The ratio in which the point 'P' dives the line segment RQ will be

[tex]m:n=5:1.[/tex]

The co-ordinates of the end-points of line segment RQ are

R(4, -1)  and  Q(-5, 3).

If a point 'H' divides a line segment with end points (p, q) and (s, t) in the ratio m : n, then the co-ordinates of the point 'H' are

[tex]H=\left(\dfrac{ms+np}{m+n},\dfrac{mt+nq}{m+n}\right).[/tex]

Therefore, the co-ordinates of point 'P' are

[tex]\left(\dfrac{5\times (-5)+1\times 4}{5+1},\dfrac{5\times 3+1\times (-1)}{5+1}\right)\\\\\\=\left(\dfrac{-25+4}{6},\dfrac{15-1}{6}\right)\\\\\\=\left(\dfrac{-21}{6},\dfrac{14}{6}\right)\\\\\\=(-3.5,2.3).[/tex]

Thus, the required co-ordinates of the point 'P' are (-3.5, 2.3).

Final answer:

To find point P's coordinates, calculate weights for points R and Q using the ratio 5/6 and apply these to R and Q's coordinates based on linear interpolation.

Explanation:

The question involves determining the coordinates of a point P located at a specific fraction of the distance from point R to point Q on a directed line segment. The fraction given is 5/6, meaning that point P is 5/6th the distance from R to Q. The process to find the coordinates of point P involves calculating the weights for R and Q in the form of (1 - 5/6) and (5/6) respectively and then applying these weights to the coordinates of R and Q. This method is based on the concept of linear interpolation or finding a point of division in a line segment.

Learn more about Point of Division here:

https://brainly.com/question/29624027

#SPJ3

Doris put $4000 in a 2-year CD paying 6% interest, compounded monthly. After 2 years, she withdrew all her money. What was the amount of the withdrawal? A. $4000.00 B. $4214.41 C. $4508.64 D. $4448.13

Answers

The formula is
A=p (1+r/k)^kt
A amount of the withdrawal?
P present value 4000
R interest rate 0.06
K compounded monthly 12
T time 2 years
A=4,000×(1+0.06÷12)^(12×2)
A=4,508.64

So it's c

A bag contains three green Christmas ornaments and four gold ornaments. If you randomly pick two ornaments from the bag, at the same time, what is the probability that both ornaments will be gold? A) 4/7 B) 2/7 C) 3/7 D) none of the above

Answers

There are 7 ornaments in total. The probability of drawing the first gold is 4/7. Since one gold is gone from the total the probability of drawing another gold is 3/6. You multiply (4/7)(1/2) to get 2/7
Final answer:

The probability of drawing two gold ornaments in a row from a bag containing three green and four gold ornaments is 2/7. This is calculated by multiplying the probability of drawing a gold ornament on the first draw, 4/7, by the probability of drawing another gold ornament from the remaining ornaments, 1/2.

Explanation:

The subject matter of this problem is probability. Probability tells us how likely an event is to occur given certain conditions. In this case, we are interested in the probability of drawing two gold ornaments from a bag containing three green and four gold ornaments. To solve this problem, we have to calculate the probability of selecting a gold ornament on the first and second draw.

Start with the total amount of ornaments, which is seven (three green and four gold). The probability of drawing a gold ornament on the first pick is 4 out of 7, or 4/7. However, if you draw a gold ornament first, there will be 6 ornaments left with 3 being gold.

So, the probability of drawing another gold ornament becomes 3 out of 6, or 1/2. The probable event is happening two times in a row and we're not replacing the ornaments, so we multiply these probabilities together:

4/7 * 1/2 = 2/7

Therefore, the probability of drawing two gold ornaments in a row from this bag is 2/7, so the correct answer is B) 2/7.

Learn more about Probability here:

https://brainly.com/question/22962752

#SPJ11

The first three steps for solving the quadratic equation by completing the square are shown. Fill in the missing number in the last step

Answers

hi this message wont send cuz it needs to be 20 characters long :)

Answer:

AXxaXax

Step-by-step explanation:

What is the equation of a line that goes through the point (0,−35)(0,−35) and has a slope of -1?

Select one:
a. y=x−35y=x−35
b. y=−x−35y=−x−35
c. y=−35x−1y=−35x−1
d. −35y=−x

Answers

y + 35 = -1(x - 0)
y + 35 = -x
y = -x - 35

answer
b. y=−x−35

Answer:

y=−x−35 (Did it on college bridge)

Step-by-step explanation:

The area of a rectangular wall of a barn is 300 square feet. its length is 10 feet longer than twice its width. find the length and width of the wall of the barn.

Answers

L * W = 300 sq ft
Length is 10 ft greater than twice the width.
L = 2W + 10
Substituting
(2W+10)*W = 300
2W^2 + 10W = 300
Divide both sides by 2
W^2 + 5W = 150
W^2 + 5W - 150 = 0
Factor
(W +15)(W -10) = 0


Roots are W=-15 and W=10.
A negative width is impossible, so W=10
L = 2W + 10
L = 2(10) + 10
L = 30

 length = 30 feet, width = 10 feet

 Check: 30*10 = 300


Final answer:

To find the dimensions of the barn wall, we first expressed the given information as an equation using the formula for area. After simplifying and factoring the quadratic equation, we determined the width to be 10 feet and the length to be 30 feet.

Explanation:

The question involves finding the length and width of a rectangular wall when given the area and a relationship between the length and width. We know the area of the wall is 300 square feet and that the length is 10 feet longer than twice the width. Let's denote the width as 'w' and the length as 'l'. The relationship between them can be expressed as l = 2w + 10. Using the formula for the area of a rectangle, which is A = l * w, we substitute the given area and the relationship between length and width to create an equation: 300 = (2w + 10) * w.

Solving this quadratic equation:

Expand the right side: 300 = 2w^2 + 10wMove all terms to one side: 2w^2 + 10w - 300 = 0Divide by 2 to simplify: w^2 + 5w - 150 = 0Factor the quadratic: (w + 15)(w - 10) = 0Find the roots: w = -15 or w = 10 (since width can't be negative, w = 10)Substitute w back into the relationship to find l: l = 2(10) + 10 = 30

Therefore, the width of the wall is 10 feet, and the length is 30 feet.

The polynomial 9x2+3x3y2z is what degree?

Answers

In polynomials, when you are asked for its degree, you are to determine its highest degree of which the variable is raised to. For this example, one might argue that the highest degree is 3 at x³. But there is a rule that for polynomials containing implicit terms in the equation, you add up their exponents. Now, this is not applicable in algebraic operations. When you multiply the terms x³y²z, it does not become (xyz)⁶. This is not valid because they don't have common bases. The rule of adding up exponents is only applicable for classification. Therefore, the polynomial given is in the 6th degree.

I just need to know how do I find the domain for this function Y=-4x+2

Answers

Answer: Set of all real numbers

The domain is the set of all real numbers because we can plug in any x value we want to get some y value. There is no worry about dividing by zero. We don't have to worry about taking the square root of a negative number. There are no restrictions for x.

4(3h+7)/4+h for h=-2

Answers

the answer would be 2

Which combination of compounds will create a buffer solution? a weak acid and a weak base a weak acid and its conjugate base a strong acid and its conjugate base a strong acid and a strong base

Answers

Either a weak acid and its conjugate base, or a weak base and its conjugate acid.

Answer:

a weak acid and its conjugate base    

Step-by-step explanation:

A Buffer solution is a solution that tends to keep the pH almost constant when small amounts of acids (H +) or  bases (OH-) are added, therefore, they are very useful to reduce the impact of drastic changes in (H+) and (OH-) in processes that require a specific pH. They can be prepared by dissolving in water adequate amounts of a weak acid and a salt of its conjugate base, or a weak base and a salt of its conjugate acid.

The area of a circle is 28.26 square centimeters. What is its diameter (use 3.14 for Pi)?

Answers

6 cm because it is an i know it and you have to trust me and i need 20 characters 
area=r×r×pi
r= squareroot of 28.26÷3.14=3
D= r×2
D=3×2=6

D=6

What's the circumference of a circular swimming pool with a diameter of 20 feet

Answers

circumference = Diameter x PI

 using 3.14 for PI

3.14 x 20 = 62.8 feet

[tex] \pi x 20 feet =62.8318531 feet 62feet 9 6/3/64 inches[/tex]

The population of Glendale this year is 3,200 more than half of last year’s population. The population this year is 26,300. Which equation could be solved to find last year’s population?

Answers

(1/2)x + 3200 = 26300
(1/2)x + 3200 - 3200 = 26300 - 3200
(1/2)x = 23100
(1/2)x * 2/1 = 23100 * 2/1
x = 46200

Last years population was 46,200

check:
1/2 (46200) + 3200 = 26300
23100 + 3200 = 26300

How would I solve this?

Answers

[tex] \sqrt{2k^2+17} =7\\\\
2k^2+17=49\\\\
2k^2=32\\\\
k^2=16\\\\
k=4[/tex]
Final answer: C

How many gallons of gas is in my tank?

Answers

F(180) = x/30

= 180/30 = 6 gallons of gas is needed

Which of the following lists some of the non-monetary factors that are taken into account when doing cost-benefit analysis

Answers

Time and Effort are the answer because it is the only non-monetary factors that take into account when doing a cost-benefit analysis. Cost Benefit Analysis is a systematic approach to estimate the strength and weakness of alternatives for example in transaction, activities and project requirement.

Answer:

A.  

product being used by everyone  

B.  

the aesthetic value of nature  

C.  

identifying internal costs  

D.  

categorizing internal and external costs

Step-by-step explanation:

George plays basketball in a week long camp On day 2 he scored 8 points On day 4 he scored 12 points Explain how to measure his average rate of change

Answers

To measure George's rate of change, we first set out two pairs of independent and dependent data which in this case is the day number and the point

Independent Data: Day 2                          Independent Data: Day 4
Dependent Data: 8 points                         Dependant Data: 12 points

Then we find the difference between the two independent values and the two dependent values

4 - 2 = 2
12 - 8 =4

To find the rate we use the following formula 
the difference of dependent value ÷ the difference of independent value =
4 ÷ 2 = 2

Hence the average rate of change is an increase of 2 points a day


Answer:

the average rate of change is an increase of 2 points a day

Step-by-step explanation:

It wont let me post a picture of the angles but they are verticle angles and the equations are (3x+8), (5x-40) and it says find m ABC.

The choices are 24, 56, 80, 90

Answers

Vertical angles are equal

5x - 40 = 3x + 8
5x - 3x = 8 + 40
2x = 48
x = 48/2
x = 24

m∠ABC = 3x + 8 = 3 * 24 + 8 = 80°

(or m∠ABC = 5x - 40 = 5 * 24 - 40 = 80°)

Answer:

the answer is 24 i hope this helps ...

So the cube root of 312 lies

Answers

6.78 rounded is correct. Hope this helps! ;)
Other Questions
During the 1930s why did many Americans have bitter feelings about world war one What property of liquid oxygen makes it especially difficult and potentially harmful to work with at home? In aqueous solution, globules of up to several thousand amphiphilic molecules arranged with the hydrophilic groups on the surface and the hydrophobic groups buried in the center are called _____. Which of these statements best describes the difference between electromagnetic and gravitational forces in the solar system? a. Electromagnetic forces have a shorter range than gravitational forces.b. Electromagnetic forces are stronger than gravitational forces.c. Electromagnetic forces are only repulsive but gravitational forces are both attractive and repulsive.d. Electromagnetic forces are only attractive but gravitational forces are both attractive and repulsive. uhhhh how do i make a line parallel to AB through point C Describe how the graph of y=|x|-12 is like the graph of y=|x| and how it is different? Which of these writings relies mostly on emotion? A. Thomas Jefferson's Declaration of Independence B Patrick Henry's "Give me liberty , or give me death" C John Dickinson's letters from a farmer in Pennsylvania D Thomas Paine's Common Sense Which of the following was one of drivers of European exploration in the 1400s and 1500s?A. Europeans sought new trade routes to eastern Asia.B. Europeans were driven out of Europe by aggressive Muslim empires.C. Europeans were in a race against African countries to colonize the world. What are the future chances of rewriting the Current version of the Texas State Constitution? Or is it best left as is ? Why or why not ? Marcus Garvey advocated for Which process allows a species to produce new generations of individuals? which of these tools can be used to detect breast cancer ? select two correct answers A . cervical exams B . Clinical exams C . Mammograms D . Pap smears Convert these unlike fractions to equivalent like fractions and add them. You must use the LCD to get the answer correct. If possible, reduce the final sum. How many values of will satisfy tan-1 0 = when 0 NEED HELP IN ENGLISH PLEASERead the passage. From John F. Kennedys Inaugural Address "So let us begin anewremembering on both sides that civility is not a sign of weakness, and sincerity is always subject to proof. Let us never negotiate out of fear. But let us never fear to negotiate.Let both sides explore what problems unite us instead of belaboring those problems which divide us.Let both sides, for the first time, formulate serious and precise proposals for the inspection and control of armsand bring the absolute power to destroy other nations under the absolute control of all nations.Let both sides seek to invoke the wonders of science instead of its terrors. Together let us explore the stars, conquer the deserts, eradicate disease, tap the ocean depths, and encourage the arts and commerce.Let both sides unite to heed in all corners of the earth the command of Isaiahto undo the heavy burdens . . . and let the oppressed go free.And if a beachhead of cooperation may push back the jungle of suspicion, let both sides join in creating a new endeavor, not a new balance of power, but a new world of law, where the strong are just and the weak secure and the peace preserved."How does the repetition of the phrase, Let both sides, add to the persuasive power of the speech?A.It emphasizes the idea that there are many challenges ahead. B.It reminds the audience that Kennedy is addressing only two people. C.It reminds the audience that Kennedy is taking sides in the conflict. D.It emphasizes the idea that all people should work together.I think its D. Can someone confirm this or correct me? what is 802 and 6 hundredths in expanded form A 31-year-old male with a history of diabetes had a seizure that stopped prior to ems arrival. he is unresponsive and has rapid, shallow breathing. his pulse is rapid and weak and his skin is cyanotic. the emt should: Simplify the sum. (8u3 + 8u2 + 6) + (4u3 6u + 3) You roll a six sided die and toss a coin. What is the probability of rolling an odd number and then getting heads? The server core installation option in windows server 2012 effectively removes _______: Steam Workshop Downloader