6. A rectangle has a perimeter of 62 feet. If its length is 9 feet longer than its width, find
the dimensions of the rectangle.
62ft

Answers

Answer 1

Answer:

length = 20 ft, width = 11 ft

Step-by-step explanation:

let w be width, then length = w + 9

The opposite sides of a rectangle are equal , then

2w + 2(w + 9) = 62

2w + 2w + 18 = 62

4w + 18 = 62 ( subtract 18 from both sides )

4w = 44 ( divide both sides by 4 )

w = 11

and w + 9 = 11 + 9 = 20

then width = 11 ft and length = 20 ft


Related Questions

I need help with maths lol

Answers

Answer:

Step-by-step explanation:

To get equivalent expressions, if you are adding or subtracting, the number and letter you get on the left must be the same as the one on the right.

In B. The answer is incorrect because 4t is minus on the left. The letters are different, so 4t must remain minus. Not B

In C the numbers will combine when you add. If they are the same,, they remain the same. They do not become powers the answer for C is 10s. So C is not correct.

In D you are indicating that 6 is multiplied by 4s.  You can only multiply 6 and 4. They don't add. Not D

A is correct.

The Coal Utility Company is burning coal to produce electricity. The following cost function illustrates the cost in dollars (C) of removing t% of the hazardous toxins generated from burning coal. What happens to the cost as t approaches 100?
C= 55,000t/100-t for 0 ≤ t < 100

A The cost continues to increase.
B The cost continues to decrease.
C The cost approaches $0.
D The cost approaches $55,000.

Answers

Answer:

the cost continues to increase

Step-by-step explanation:

the cost (C) approaches infinity (or becomes very large) as t approaches 100%. Thus, the correct answer is: A. The cost continues to increase.

To determine what happens to the cost (C) as t approaches 100%, we can take the limit of the cost function as t approaches 100.

The cost function is given as: [tex]\[ C = \frac{55,000t}{100 - t} \][/tex]

Now, let's find the limit of C as t approaches 100:[tex]\[ \lim_{{t \to 100}} C = \lim_{{t \to 100}} \frac{55,000t}{100 - t} \][/tex]

To find this limit, we can use direct substitution:[tex]\[ \lim_{{t \to 100}} \frac{55,000 \times 100}{100 - 100} = \lim_{{t \to 100}} \frac{5,500,000}{0} \][/tex]

Since the denominator approaches 0 as t approaches 100, the limit is undefined (infinite).

Therefore, the cost (C) approaches infinity (or becomes very large) as t approaches 100%. Thus, the correct answer is: A. The cost continues to increase.

To know more about infinity:

https://brainly.com/question/31331496

#SPJ3

Find the Value of X

(please don't just give me a fake answer)

Answers

(6+4)/6=(x+1 +x)/(x+1)
10/6=(2x+1)/(x+1)
10(x+1)=6(2x+1)
10x+10=12x+6
10-6=12x-10x
2x=4 /2
X=2


points....................​

Answers

Answer:

what.....................

Answer:

muchas gracias por los puntos

que tengas un buen dia

Which linear inequality is represented by the graph?
Oys-x-1
O yzx-1
O y<3x-1
Oy> 3x - 1

Answers

Answer:

The fourth answer choice is correct.

y>3x-1

The linear inequality that is represented here is y> 3x - 1. The last option is correct.

What is a linear inequality?

These are inequalities that shows linear functions. It is showing the data that is not equal in the graph that is presented.

We can see that the line cuts through 3 at the X axis and -1 at the y axis.

Read more on linear inequalities here:

https://brainly.com/question/17152894?referrer=searchResults

The LCM of two numbers is 352
The HCF of the numbers is 4.
One of the numbers is 44.
Find the other number.

Answers

Answer:

Let the other number be

x

Given:LCM+HCF=600

⇒14HCF+HCF=600

⇒15HCF=600

⇒HCF=40

⇒LCM=14×40=560

Since HCFxLCM=Product of 2 numbers

=>40×560 = 280×x

⇒x=

280

40×560

⇒x=40×2

⇒x=80

hence the other number is 80.

what are the steps in order needed to solve
x/2-5=20

Answers

x/2-5=20

(x-5*2)/2=20

(x-10)/2=20

x-10=20*2

x-10=40

x=40-10

x=30

Answer:

x/2-5=20

x=20(2-5)

x=40-100

x= -60

1.Give another name for line s
2. Name then intersection of lines r and s
3.Name three non- collinear points
4. Give another name for plane n

Answers

Step-by-step explanation:

1 ) Another name for lines can be x y z etc ...

2 ) line r and s intersect at point B

3 ) point A B D

point D B C

4 ) Another name for plane N can be P Q T etc...

MARK AS BRAINLIST IF IT IS USEFUL

The table below represents a function.

what could be the equation of the function?​

Answers

Answer: Choice C.  y = -1.5x

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

Explanation:

Pick any two rows from the table to form the (x,y) points. I'll pick the first two rows.

Use the slope formula to find the slope of the line through (-6,9) and (-4,6)

m = (y2-y1)/(x2-x1)

m = (6-9)/(-4-(-6))

m = (6-9)/(-4+6)

m = -3/2

m = -1.5

Of the four answer choices, only choice C has a slope of -1.5 so that must be the final answer. Note how the y intercept is b = 0 due to the point (0,0).

So y = -1.5x can be written as y = -1.5x+0; however, it's easier to go with the first option.

As a check, let's try something like x = 2

y = -1.5x

y = -1.5*2

y = -3

This verifies the second to last row of values. I'll let you check the other rows.

Explain the algebraic error in the student’s work. Then, state how the equation r = StartFraction (uppercase A minus uppercase P) Over t EndFraction can be modified to produce the correct result.

Answers

Answer:

The student did not distribute properly to get A= P+Prt. The equation can be fixed by putting a factor of P in the denominator: r=(A-P)/Pt

Step-by-step explanation:

just did it

There is an error in step 2 where distributive property was not followed.

What is Simple interest?

Simple Interest (S.I.) is the method of calculating the interest amount for a particular principal amount of money at some rate of interest.

Steps taken by the student to solve the formula of the simple interest for the values of '',

Step 1 : A = P( 1 +rt)

Step 2 : A = P + rt

Step 3 : A - p = rt

Step 4 : r = (A - P)/ t

There is an error in step 2 where distributive property was not followed.

Correct steps should be,

Step 1 : A = P( 1 +rt)

Step 2 : A = P + Prt [By distributive property]

Step 3 : A - P = Prt

Step 4 : r = (A-P)/Pt

Therefore, error was made in step 2.

Learn more about simple interest here:

brainly.com/question/13130806

#SPJ1

What is the smallest angle of rotational symmetry for a square?
45°
90°
180°
360°

Answers

Answer:

90 degrees

Step-by-step explanation:

When we want to find the rotational symmetry of a shape, we will take the total angle measure of most shapes (360 degrees) and divide it by the number of angles that shape has. Since a square has 4 angles, thats what we will divide by and the answer we get will be the smallest angle of rotation.

360 / 4 = 90

Best of Luck!

The smallest angle of rotational symmetry for a square is 90°. A square has four sides of equal length and four angles of 90° each, which means that rotating it by any multiple of 90° will result in the same image. Thus, the smallest angle of rotational symmetry is 90°.

What is a polygon?

In Mathematics, a polygon can be defined as a two-dimensional geometric figure that consists of straight line segments and a finite number of sides. Additionally, some examples of a polygon include the following:

• Triangle

• Quadrilateral

• Pentagon

• Hexagon

• Heptagon

• Octagon

• Nonagon

Generally speaking, the measure of the angle at the center of a regular polygon is equal to 360 degrees. Therefore, the smallest angle of rotation that maps (carries) a regular polygon onto itself can be calculated by using this formula:

α = 360/n

The smallest angle of rotational symmetry for a square is 90°.

This means that the square can be rotated by 90° and still look the same.

It can also be rotated by 180° and 270° to look the same,

but the smallest angle is 90°.

Read more on regular polygon here:

brainly.com/question/20911145

#SPJ7

Josh received his allowance on Tuesday. He spends 3/8 of his allowance on Tuesday night and 2/3 of the remainder on Wednesday morning. What part of his allowance is left for the rest of the week?

Answers

Josh starts with 8/8 (or any other fraction that equals 1) of his allowance. He then spends 3/8 of it.

8/8 x 3/8 = 3/8

8/8 - 3/8 = 5/8

He spend 3/8 of his allowance, leaving him with 5/8 left. Then Josh spent 2/3 of that remaining amount.

5/8 x 2/3 = 10/24 = 5/12

Josh has 5/12 of his allowance left for the rest of the week.

Hope this helps!

The formula used to convert degrees Celsius to degrees Fahrenheit is
F=?C +32
Convert 68°F to degrees Celsius. Solve the formula for C, and then use it to
convert the temperature.
Which is the correct formula and conversion?

Answers

Answer:

9

Step-by-step explanation:

The correct conversion is 68°F = 20°C.

What is unit conversion?

Conversion is defined as the conversion from one quantity unit to another quantity unit followed by the process of division, and multiplication by a conversion factor.

We are given that;

To convert 68°F

Now,

To solve the formula for C, we need to isolate C on one side of the equation. We can do this by subtracting 32 from both sides and then dividing by 1.8. The steps are:

F = 1.8C + 32

F - 32 = 1.8C

(F - 32) / 1.8 = C

Therefore, the correct formula for C is:

C = (F - 32) / 1.8

To convert 68°F to degrees Celsius, we can plug in F = 68 into the formula and simplify. The steps are:

C = (68 - 32) / 1.8

C = 36 / 1.8

C = 20

Therefore, after conversion the answer will be 68°F = 20°C.

Learn more about the unit conversion here:

brainly.com/question/11543684

#SPJ7

PLS HELP WILL MAKE FIRST RIGHT ANSWER GETS BRAINLIEST ​

Answers

Answer:

Subtract four to get the next term.

Step-by-step explanation:

66 - 4 = 62

62 - 4 = 58

58 - 4 = 54

54 - 4 = 50

50 - 4 = 46

46 - 4 = 42

42 - 4 = 38

Answer:

B

Step-by-step explanation:

Subtract 4

graph the function. f(x)=−∣∣x+2∣∣+1

Answers

Answer:

f(x)=-|x+2|+1

I've attached the graph for it

Guy above is right
Explanation:I done the assessment

PLEASE HELP!! i can’t figure this out!

Given the point A(-3,-3) and B(5,1), find the coordinates of the point P on the directed line segment AB that partitions AB in the ratio of 3:1.

Answers

Answer:

1,-1

Step-by-step explanation:

midpoint is (-3)+5÷2 ; (-3)+1÷2

=1;-1

Rick had 6 meters 63 centimeters of wire in his toolshed. He bought 2 meters 24 centimeters more wire and put this in his shed. The next day, he used 344 centimeters of wire. How much wire does Rick have left in the toolshed?

Answers

Answer:

543 centimeters or 5 meters 43 centimeters

Step-by-step explanation:

663+224=887

887-344=543

-X -y -32 = -9
Z= -3x - 1
z = 5y -Z + 23

Answers

Answer:

[tex]x = - \frac{85}{46} [/tex]

[tex]y = - \frac{64}{23} [/tex]

[tex]z = \frac{209}{46} [/tex]

Use the distributive property to write an equivalent expression.
8(3v+3w-2)

Answers

24v+24w-16
I multiplied all the numbers inside the parenthesis to 8, so (8 x 3w),(8 x 3v),(8 x -2). Basically Distrbutive property is you distribute the 8 into the numbers inside the parenthesis and by distribute you just multiply. Lemme know if this is the answer you were looking for!

Answer:

8(3v+3w-2)=(8×3v+8×3w-8×2)

Step-by-step explanation:

8×3v=24v.

8×3w=24w. [24v+24w-16]=(8×3v+8×3w-2×8)

8×(-2)=-16.

28 + 2h = 2h + 6. What does “h” equal?

Answers

I believe the answer is 28=6, but I could be wrong tho.

2h – 2h = 28-6 —> 0 = 22

It cannot be solved because 2h -2h equals zero, so there is no h .

Anyone know the answers to 26 and 28?Please help me I’m sleep deprived

Answers

Answer:

26. 30 ≥ 7.5a + 4.5s         28. $22.50

Step-by-step explanation:

26. The family doesn't want to spend over 30 dollars, so when writing the inequality the amount they spend needs to be less than or equal to 30, hence the greater than/equal to sign. When writing the expression a - amount of adults & s - amount of students.

*remember in the question it states middle and high schoolers both count as students

The 7.5 is cost for adults and the 4.5 is cost for students.

28. You can use the expression created in 26

7.5a + 4.5s

Then substitute in the amount of people into their respective categories.

7.5(2) + 4.5(3) = 22.50

Giải phương trình x^4-2x^3+2x^2-x-6=0

Answers

Answer:

[tex]x_{1} = - 1. \: \: x_{2} = 2[/tex]

Step-by-step explanation:

attached

f(x) = x² + 3x – 4 if x = 5a

Answers

Answer:

Step-by-step explanation:

f(5a) = ([tex]5a)^{2}[/tex] + 3× 5a - 4

solve the following compound inequality. graph the solution. -4 < 3x + 2 <= 2​

Answers

Answer:

-2 < x <= 0

Step-by-step explanation:

Isolate the variable.

-4 < 3x + 2 <= 2

Subtract 2 from each side.

-6 < 3x <= 0

Divide both sides by 3

-2 < x <= 0

Your bank account balance is -$20.85. You deposit the $15.50. What is your new balance?

Answers

Answer:

-5.35

Step-by-step explanation:

-20.85

+15.50

this helps with the problem

R is between Q and S. If QR = 33.4 and SQ = 80, find RS

Answers

Answer:

56.6

Step-by-step explanation:

if SQ are 80 just subtract 33.4 from 80 to get 56.6 is RS

r-6

--------- = - 3

- 3

Answers

Answer:

r=0

Step-by-step explanation:

How do you translate "A number, x, multipled by one thousand. " as a variable expression​

Answers

Answer: 1000x or 1000•x

U have ur x variable and it’s being multiplied by 1000
So it’s just 1000•x or 1000x

I hope this helps :)

THE PRESENT AGE OF A FATHER IS THREE TIMES THAN THAT OF HIS SON. FIVE YEARS AGO HE WAS FIVE TIMES AS OLD AS HIS SON. FIND THEIR PRESENT AGES.

(STEP BY STEP PLZ) (HOPE U ENJOY IT)​​

Answers

Answer:

fathers age 50 son age 20

Plz help me answer this question

Answers

Answer:

I think it's the top left one

Step-by-step explanation:

The length is 6, the width is 3, and the height is 4, which matches the expression.

Step-by-step explanation:

[tex](6 \times 3 + 3 \times 4 + 4 \times 6) \\ = (18 + 12 + 24) \\ = 54[/tex]

Other Questions
how many planets are there Help me please What do the Dursleys tell Harry about how his parents died?Why do you think they tell him this? Calculate 20% of 3 3/4 years in months. Do you guys know this because I was trying to submit but it dont let me I put 7/6 but it say I need different Way help is appreciated thank you Which statement describes the graph? Tyrant is the root word of tyranny. What is the fraction or mixed number and write in its simplest form. 3.84163.8416=- (type an integer,proper fraction, or mixed number.) Because they are in the majority culture, people in the "mainstream" cannot be ethnocentric.True or False The Great Depression: causes, government response, and impact. Please explain them well. Thank you for your time and help. How does Indonesia reflectthe social reality and traditional values which graph represents the following system of inequalities?abcd You have 50L of water, it froze. So find its new volume. Density of water is 1000kg/m^3 or 1kg/L, density of ice is 920kg/m^3 or 0.92kg/L. Descriptive Lab Report Guide to exploring cells, if you want to, you can put this into your own words. Select the appropriate conjunction and fill in the blanks. (Whereas, bothand, until, since, whether..or, while, nor, either.or, which, where)1. My sister loves sweets, . I prefer spicy food.2. Dont call him I tell you to.3. He . cooks dinner for himself buys it from outside.4. This is my friend and I ate while at campus.5. I will do this, my mother likes it . not.6. He has . a car . a jeep. 7. They have herbal drinks every morning .. they are nutritious.8. She read a book .. he watched a movie.9. The face mask seems to be the source. provides us the most protection these days. 10. He doesnt like fruits, .. does he like vegetables Which of the following statements correctly explains why the excretory system is different from the digestive system? (1 point)The excretory system is different from the digestive system because it removes waste from the body by filtering water, whichincludes mostly the by-products of metabolismThe excretory system is different from the digestive system because it removes waste from the body by filtering urine, whichincludes mostly the by-products of metabolismThe excretory system is different from the digestive system because it removes waste from the body by filtering food, whichincludes mostly the by-products of metabolism, filtering foodThe excretory system is different from the digestive system because it removes waste from the body by filtering blood, whichincludes mostly the by-products of metabolism, solve the simultaneous equation:y=x^2+3y-2x=18 which is only mountain that which no one climbed on it?? hint: it is in nepal HELP NEEDED! ^^ |IF YOU HAVE ANSWERS PLS SAY IT DOWN BELLOW THANK YOU!