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?

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

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

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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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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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

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

Answer:

3/64

Step-by-step explanation:

Answer: 3/64

Step-by-step explanation:

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)

Answer:

Step-by-step explanation:

Let y = each smaller piece

y = 19.2 / 4

=========

y = 4.8

Answer:

Pretty sure it's C, A, B

Step-by-step explanation:

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

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.

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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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)

Answer:

120

Step-by-step explanation:

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]

Answer:

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

Step-by-step explanation:

count your zeros

Answer:

4.5

Step-by-step explanation:

Answer:

0.4 repeating

Step-by-step explanation:

Divide 2/3 by 150%

Answer:

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

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.

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

Answer:

= −67

Step-by-step explanation:

Answer:

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

Step-by-step explanation:

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.

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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Answer:

It increased by 61. 2011 had 93

Step-by-step explanation:

thank me the answer is x=3.6

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:

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

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.

Answer:

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

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

Step-by-step explanation:

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

Answer:

52.5

Step-by-step explanation:

7.50 x 7