A rectangular carpet has a perimeter of 194 inches. The length of the carpet is 67 inches more than the width. What are the dimensions of the​ carpet?

Answers

Answer 1

Answer:

The dimensions of the carpet are 15 inches and 82 inches

Step-by-step explanation:

Assume that the width of the carpet is x inches

The width of the carpet is x inches

∵ The length of the carpet is 67 inches more than the width

The length of the carpet is (x + 67) inches

The perimeter of the rectangle = 2(length + width)

∵ The perimeter of the carpet = 194 inches

→ Equate the two right sides of the perimeter

2(length + width) = 194

→ Divide both sides by 2

length + width = 97

→ Substitute the value of the length and width in the equation above

x + 67 + x = 97

→ Add the like terms in the left side

∴ (x + x) + 67 = 97

2x + 67 = 97

→ Subtract 67 from both sides

∵ 2x + 67 - 67 = 97 - 67

2x = 30

→ Divide both sides by 2

x = 15

∵ x represents the width of the carpet

The width of the carpet is 15 inches

∵ The length of the carpet = 15 + 67

The length of the carpet is 82 inches

The dimensions of the carpet are 15 inches and 82 inches


Related Questions

which expression is equivalent to 9x+4y+5+2x +8?

Answers

9x+2x=11x

5+8=13

=

11x+4y+13

Answer:

11x + 4y + 13

Step-by-step explanation:

ORIGNIAL EXPRESSION: 9x + 4y + 5 +2x +8

Combine like terms.

11x + 4y + 13 is the final answer.

(If this helped you, please give brainliest!)

(I did this on I-Ready and got it correct.)

The hourly wage is $7.50. John worked 7 hour. How much did he
earn?

Answers

Answer:

52.5

Step-by-step explanation:

7.50 x 7

What is 3/8 ÷ 8 simplified?

Answers

Answer:

3/64

Step-by-step explanation:

Answer: 3/64

Step-by-step explanation:

I need the value of X that has the same area please help

Answers

Answer:

x = 10

Step-by-step explanation:

To find the value of x that will make the area of both figures to be equal, set the expression for the area of one figure equal to the other.

Thus:

(x + 5)×12 = x × 18

Solve for x

12x + 60 = 18x

Subtract 12x from each side

12x + 60 - 12x = 18x - 12x

60 = 6x

Divide both sides by 6

60/6 = 6x/6

10 = x

x = 10

The relationship between the number of hours a plumber works and the total work fee she charges is proportional. Her fee for 5 hours of work is $350.
Which of the following could be combinations of values for the plumber's work hours and total work fee she charges? There are 3 answers

Answers

Answer: As given, relationship between the number of hours a plumber works and the total work fee she charges is proportional.

The meaning of proportional is Ratio of number of hours a plumber works and the total work fee she charges is constant.

Using Unitary method

5 hours of work = $350

1 hours of work = $70

Let number of hours worked = x hours

Amount earned for x hours of work is represented by = $ y

For , x hours of work amount earned = 70 x (x=1,2,3...)

→y= 70 x

→→

Step-by-step explanation:

-2.5(x-4)=-3+4
What is the solution to the equation

Answers

thank me the answer is x=3.6

PLEASE HELP ME I KNOW ITS A LOT BUT I PUT EXTRA POINTS AND I’LL MARK YOU AS BRANLIEST!!!

Answers

Answer:

6.67

66.7%

1.20

337.12

Step-by-step explanation:

95.25*(7/100)

42.12/63.18*100

20. 95*(5/100)

9632*(3.5/100)

Kiran and Clare live 24 miles away from each other along a rail trail. One Saturday, the two friends started walking toward each other along the trail at 8:00 a.M. With a plan to have a picnic when they meet. Kiran walks at a speed of 3 miles per hour while Clare walks 3.4 miles per hour. After one hour, how far apart will they be?

Answers

Answer:

They would be 44.6 miles apart

Step-by-step explanation:

Here, we want to calculate how far they will be in 1 hour

Mathematically;

Distance = speed * time

In 1 hour, Kiran would have traveled a distance of 3 * 1 = 3 miles

While Clare would have traveled a distance of 3.4 * 1 = 3.4 miles

Now, we want to calculate how far apart they would be

On the 24 miles trail, Kiran would be at a distance of 21 miles to the other end

On the 24 miles Claire would be at a distance of 20.6 miles

So how far apart they would be is

24 miles + 20.6 miles = 44.6 miles

Divina get paid two dollars per hour to do her chores this weekend she did chores on both Saturday and Sunday she made a total of $20 divina Worked for four hours on Saturday for how many hours did she do her chores on Sunday let X equal hours spent doing chores on Sunday choose The equation and solution steps that correctly represent this problem HELP

Answers

Answer:

Equation:  4(2) + 2x = 20

Step-by-step explanation:

Subtract 8 from both sides

2x = 12

Divide both sides by 2

x = 6

She did 6 hours of chores on Sunday

The equation will be 4(2) + 2x = 20. Hence, She did 6 hours of chores on Sunday.

What is the solution for an equation?

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

The solution of an equation refers usually to the values of the variables involved in that equation which if substituted in place of that variable would give a true mathematical statement.

Divina gets paid two dollars per hour to do her chores this weekend.

she did chores on both Saturday and Sunday.

she made a total of $20 Divina Worked for four hours on Saturday.

Let x equal hours spent doing chores on Sunday.

The equation will be

4(2) + 2x = 20

Subtract 8 from both sides

4(2) + 2x  - 8 = 20- 8

2x = 12

Divide both sides by 2

x = 6

Hence, She did 6 hours of chores on Sunday.

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Need answers
Chapter 3 geometry test on big ideas math

Answers

Answer/Step-by-step explanation:

WX: 4.47

[tex]4^{2} + 2^{2} = 20\\\sqrt{20} = 4.47[/tex]

XY: 3.61

[tex]3^{2} + 2^{2} = 13\\\sqrt{13} = 3.61[/tex]

YZ: 4.12

[tex]1^{2} + 4^{2} = 17\\\sqrt{17} =4.12[/tex]

WZ: 4.24

[tex]3^{2} + 3^{2} = 18 \\\sqrt{18} = 4.24[/tex]

The slopes of the lines are:

WX = 2

XY = -1.5

YZ = 4

WZ = -1

Given is a polygon on a coordinate plane with vertices =

W = (-5, 1)

X = (-3, 5)

Y = (-1, 2)

Z = (-2, -2)

We need to find the slopes of line =

WX, XY, YZ and WZ

To find the slopes of the lines connecting the vertices of the polygon, we can use the formula for the slope between two points (x₁, y₁) and (x₂, y₂):

slope = (y₂ - y₁) / (x₂ - x₁)

Let's calculate the slopes for each line:

1) Slope of line WX:

W = (-5, 1)

X = (-3, 5)

slope(WX) = (5 - 1) / (-3 - (-5))

= 4 / 2

= 2

So, the slope of line WX is 2.

2) Slope of line XY:

X = (-3, 5)

Y = (-1, 2)

slope(XY) = (2 - 5) / (-1 - (-3))

= -3 / 2

= -1.5

So, the slope of line XY is -1.5.

3) Slope of line YZ:

Y = (-1, 2)

Z = (-2, -2)

slope(YZ) = (-2 - 2) / (-2 - (-1))

= -4 / (-1)

= 4

So, the slope of line YZ is 4.

4) Slope of line WZ:

W = (-5, 1)

Z = (-2, -2)

slope(WZ) = (-2 - 1) / (-2 - (-5))

= -3 / 3

= -1

So, the slope of line WZ is -1.

Therefore, the slopes of the lines are:

WX = 2

XY = -1.5

YZ = 4

WZ = -1

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examine the variety of shapes below if a shape has shading then find the area of the Shaded region ​

Answers

only the last figure (i.e figure e) is shaded

The shaded region is a triangle

Area of a triangle

= ½ × b × h

= ½ × 14 × 5

= ½ × 70

= 35yd²

A number cube has the numbers
1 through 6.
After rolling it 60 times, about how
many times would you roll a 5?

Answers

Answer:

that is based on luck u could get 5 everytime or none, depends on what roll

Which expression is equivalent to 100,000

Answers

Answer:

the answer is 10 with a little 4 on the top right corner

Step-by-step explanation:

count your zeros

Are the two lines parallel, perpendicular, or neither?
Graph 1
Graph 2
Graph 3
Graph 4
X
O Parallel
O Perpendicular
O Neither
O Parallel
O perpendicular
O Neither
O Parallel
Operpendicular
O Neither
O Parallel
O perpendicular
O Neither

Answers

Graph 1 neither

Graph 2 neither

Graph 3 perpendicular

Graph 4 parallel

Two lines of graph 1 , graph 2, graph 3 and graph 4 are neither , neither , perpendicular and parallel respectively.

What is a perpendicular lines?

Those lines that are perpendicular to each other that means create an angle of 90° at intersecting point are perpendicular lines.

Those lines that do not intersect each other at any point and always at the equal distance are parallel lines. And those lines that are perpendicular to each other that means create an angle of 90° at intersecting point are perpendicular lines.

In the graph 1, both lines will cut each other. So the answer is 'Neither'.

In the graph 2, both lines are intersecting each other. So the answer is 'Neither'.

In the graph 3, at intersection point angle is 90° that means lines are perpendicular lines.

In the graph 4, both lines are at the equal distance and not intersecting each other at any point, if raised. So the lines are parallel lines.

Therefore, the answer of graph 1 , graph 2, graph 3 and graph 4 are neither , neither , perpendicular and parallel respectively.

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In a newspaper, it was reported that yearly robberies in Springfield were up 40% to 154 in 2012 from 2011. How many robberies were there in Springfield in 2011?

Answers

Answer:

It increased by 61. 2011 had 93

Step-by-step explanation:

Please help me with this question

Answers

Answer:

120

Step-by-step explanation:

Mrs. Green has to buy enough candy canes for every student in her school to each get one. Candy canes are sold 10 to a box for $3 a box. There are 7 teams in the school, and each team has between 93 and 116 students. a. Is this situation discrete or continuous? How do you know? b. What is the domain and range? (Really think about what you are collecting data on in this question)

Answers

Answer:

a. The situation is discrete for the domain and continuous for the range.

b. i.  651 ≤ x ≤ 812. ii. $ 195.3 ≤ x ≤ $ 243.6.

Step-by-step explanation:

a. This is because we can only have a whole number of students which in turn leads to a whole number of candies. Also, since the cost of each candy box is $ 3/10 = $ 0.3, it is a real number. So, the total cost of candy will also be a real number. Thus, the situation is discrete for the domain and continuous for the range.

b. i. Let x be the number of students which also equals number of candies to be bought. Since there are 7 teams and between 93 and 116 students per team, the minimum number of students is 93 × 7 = 651 and the maximum number of students is 116 × 7 = 812. So, the domain, the number of candies is 651 ≤ x ≤ 812.

ii. The range of the function is the cost of the candies. Since the cost of the candies is $ 3 per box and there are 10 per box, each candy costs $ 3/10 = $ 0.3. So the total cost of candies C = cost per candy × number of students = $0.3x.

So, the range of the candies is the minimum and maximum values of students times $ 0.3. So, 651 × $ 0.3 ≤ x ≤ 812 × $ 0.3 = $ 195.3 ≤ x ≤ $ 243.6

What are the domain and range of this function?

PLZ HELP ILL MARK AS BRAINLIEST!!!

Answers

Answer:

Domain {-5, -4, 1, 2, 4, 5}

Range {-4, -2, 1, 2, 4, 5}

Step-by-step explanation:

A biologist determined that there were 42 oak trees in a 5-acre forest. How many oak trees would be expected on 40 acres of identical habitat?

Answers

Answer:

336

Step-by-step explanation:

Using arithmetic operation, the number of oak trees on the land which is of identical habitat would be 336.

Using the relation:

5 acres = 42 trees - - - - - (1)

40 acres = t - - - - - (2)

Cross multiply

5t = 42 × 40

5t = 1680

t = 1680 / 5

t = 336 oak trees

Therefore, the Number of oak trees would be 336

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perform the indicated operation. Be sure the answer is reduced.
2a+1/3a + 5/4 - 2a-3/6a^2
A 23a^2 + 6/12a^2
B -23a^2 + 6/12a^2
C 23a^2 - 6/12a^2

Answers

Answer:

A 23a^2 + 6/12a^2

Step-by-step explanation:

2a+1/3a + 5/4 -2a-3/6a^2

=4(2a+1)+15a/12a - 2a-3/6a^2

=a(8a+4+15a^2)-{2(2a-3)}/12a^2

=8a^2+4a+15a^2-4a+6/12a^2

=23a^2+6/12a^2

Evaluate. -|-2 + 9| 7 -7 -11

Answers

Answer:

= −67

Step-by-step explanation:

Answer:

the correct answer is -7 i had this on a test

Step-by-step explanation:

SV is an angle bisector of ∠RST. If m∠RSV = (3x + 9)° and m∠RST = (8x − 26)°, find x.

Answers

Answer:

C) Definition of Angle Bisector, x=22

Step-by-step explanation:

[tex]As\ we\ the\ question\ relates\ only\ about\ SV\ bisecting\ \angle RST,\ We\ may\ use\ the\\[/tex][tex]C)Angle\ Bisector[/tex]

[tex]From\ the\ information\ provided\ we\ know\ that,\\SV\ bisects\ \angle RST\ into\ \angle RSV\ and\ \angle VST.\\Hence,\\\angle RSV\ and\ \angle VST\ are\ equal\ as\ they\ are\ the\ bisected\ angles\ of\ the\ same\ angle.\\Hence,\\\angle RSV\ = \angle VST\\Hence,\\We\ know\ that:\\\angle RSV\ + \angle VST =\angle RST\\Hence,\\\angle RSV\ +\angle RSV\ = \angle RST\\2\angle RSV=\ \angle RST\\[/tex]

[tex]Now\ from\ the\ information\ about\ the\ values\ of\ the\ angles\ provided\ in\ the\ question\ ,\\\angle RSV=(3x+9)\\\angle RST=(8x-26)\\Hence,\\2(3x+9)=(8x-26)\\6x+18=8x-26\\18+26=8x-6x\\2x=44\\x=22[/tex]

find the value of the expression 2y-5 for y=10

Answers

Answer:

15

Step-by-step explanation:

Substitute 10 for y

2(10) - 5

= 15

Answer:

 15

Step-by-step explanation:

2y-2

sinse y=10,

2(10)-5

20-5

15

help asap! Identify the function shown in this graph.

Answers

Answer:

A

Step-by-step explanation:

Using the formula y=mx+b we see the b (the y intercept) is at -1. Only answer choice A and B have a y intercept at -1. Now we check which one of those will correspond with the negative slope. A is negative and B is positive --> A is the correct answer choice.

due in 30 min! Order the Angles from LEAST TO GREATEST
B, C, A


A, C, B


A, B, C


B, A, C


C, B, A


C, A, B

Answers

Answer:

Pretty sure it's C, A, B

Step-by-step explanation:

The length of a piece of yarn is 19.2 units. Jesse cut the piece of yarn into 4 smaller pieces that were all the same length. Which expression represents the length of each smaller piece of yarn?

Answers

Answer:

Step-by-step explanation:

Let y = each smaller piece

y = 19.2 / 4

=========

y = 4.8

If the product of the two roots of the equation : (k - 2) x2 - 6 X + 12 = 0 is 3, then k =
(a) zero
(b) 4
(c) 6
(d) 38​

Answers

Answer:

(c)

Step-by-step explanation:

Given a quadratic equation in standard form

ax² + bx + c = 0

Then the product of the roots = [tex]\frac{c}{a}[/tex]

(k - 2)x² - 6x + 12 = 0 ← is in standard form

with a = k - 2 and c = 12 , thus

[tex]\frac{12}{k-2}[/tex] = 3 ( multiply both sides by (k - 1) )

12 = 3(k - 2) = 3k - 6 ( add 6 to both sides )

18 = 3k ( divide both sides by 3 )

6 = k → (c)

y - y1 = m (x - x1 ) write an equation in point slope form given point ( -5, -1 ) and m = 1/5

Answers

Answer:

y=1/5x-24/5

Step-by-step explanation:

y-(-5)=1/5(x-(-1))

y+5=1/5x+1/5

-5            -5

y=1/5x+1/5-5

y=1/5x+1/5-25/5

y=1/5x-24/5

What number is 150% more than 2/3

Answers

Answer:

4.5

Step-by-step explanation:

Answer:

0.4 repeating

Step-by-step explanation:

Divide 2/3 by 150%

Select all of the equations that are equivalent to 3.2 + 6 = 27
3x=21
3.x=33
X+ 6 = 24
x + 2 = 9

Answers

hey 47 yea=467 yigcd
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