The members of the gardening group plan to build a walkway through the garden as formed by the hypotenuse of each of the four triangles in the drawing. That way, the gardeners will be able to access all sections of the garden. Calculate the length of the entire walkway to the nearest hundredth of a yard. Show your work

Answer:

x=14

Step-by-step explanation:

(8x-4)+(6x-12)=180

14x-16=180

14x=196

x=14

Answer:

-6

Step-by-step explanation:

We can use the slope formula

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

   = ( -8- -14)/( 8 -9)

  = ( -8+14)/( 8 -9)

  6/-1

  -6

Answer:

[tex]\boxed {\tt m= -6}[/tex]

Step-by-step explanation:

The slope formula is:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

where (x₁, y₁) and (x₂, y₂) are the points given.

The points are (9, -14) and (8,-8). Therefore,

x₁=9

y₁= -14

x₂= 8

y₂= -8

Substitute the values into the formula.

[tex]m=\frac{-8 - -14}{8-9}[/tex]

[tex]m=\frac{-8 +14}{8-9}[/tex]

Solve the numerator.

[tex]m=\frac{6}{8-9}[/tex]

Solve the denominator.

[tex]m=\frac{6}{-1}[/tex]

Divide 6 by -1.

[tex]m= -6[/tex]

The slope is equal to -6

Answer:

y = 3 x − 29

Step-by-step explanation:

First, let's find the slope of the line  

y = 3 x + 2

As the equation is already in slope-intercept form  

y = m x + c

Slope =  3

Let a point  ( x , y )  be on the new line.

By finding the slope again,

y − 1 x − 10 = 3

y − 1 = 3 ( x − 10 )

y − 1 = 3 x − 30

Which can then be converted to different forms:

Standard form:  

3 x − y = 29

Equation form:  

3 x − y−29 = 0

Slope-intercept form:  

y = 3 x − 29

graph{3x-y=29 [-32.3, 47.7, -34.1, 5.9]}

Answer:

Her mean quiz score is 92.25%.

Answer:

92.25

Step-by-step explanation:

Mean is the same as average. Add all the scores together and then decide by the number of scores.

(92+94+100+83)÷4

369÷4=92.25

Answer:

no yes no yes

Step-by-step explanation:

Im pretty sure thats correct

Answer:

no yes yes no

Step-by-step explanation:

hope this help;)

Answer:

$ 2.30

Step-by-step explanation:

Given that the sales tax rate [tex]= 8\frac{1}{2}\%=8.5\%[/tex]

The cost of the book is $ 12.99.

So, the tax on the book= 8.5% of 12.99

[tex]= \frac {8.5}{100}\times 12.99[/tex]

=1.10

So, the sales tax on the book is $ 1.10.

The cost of the video game is $ 39.99.

So, the tax on the book= 8.5% of 39.99

[tex]= \frac {8.5}{100}\times 39.99[/tex]

=3.30

So, the sales tax on the book is $ 3.40.

The difference of taxes on both the items = $ 3.40-$ 1.10=$ 2.30

So, the tax on the video game is $ 2.30 more than then tax on the book.

Answer:

5

Step-by-step explanation:

Answer:

x=6

Step-by-step explanation:

1/2x=3/4(x-2)

1/2x=3/4x-1.5      (distribute)

+1.5    +1.5

1/2x+1.5=3/4x

-1/2x     -1/2x

1.5=1/4x

6=x

hope this helps

brainliest?

Answer:

1.97 meters long

Step-by-step explanation:

divide meters by pieces

Please make me Brainliest

The length of each piece is 1.97 meters.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Length of the wire = 7.88 meters

Number of wire cut into equal pieces = 4

The length of each equal piece.

= 7.88 ÷ 4

= 7.88/4

= 1.97 meters

Thus,

The length of each wire is 1.97 meters.

Learn more about expressions here:

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Answer:

C

Step-by-step explanation:

-9×4

= -36

...

-9 × -3j = 27j

THEREFORE...

-36+27j

Answer:

x = 28

Step-by-step explanation:

Okay COB is vertical to AOB, so we know they equal the same. Right the equation this way.

3x + x + x + 12 = 152 (collect like terms)

5x + 12 = 152 (subtract 12 on each side)

5x = 140 (divide by 5 on each side)

x = 28

(PLUG IN)

3(28) + (28) + (28) + 12 = 152

84 + 28 + 28 + 12 = 152

152 = 152

Answer:

5

Step-by-step explanation:

you divide 42 by 2,then get 21 so you divide that by 105 and get 5 :))

Answer:

your answer is second option, maybe

Answer:

second choice 100% sure

Answer: 13% increase?

Step-by-step explanation: 19-6=13 which means it would be 1.13 the original amount?

Answer:

1.13

Step-by-step explanation:

A 6% decrease would be 0.94 and a 19% increase after that would be 1.13

Answer:

x = -4/5

Step-by-step explanation:

Solve for x:

(5 x + 4) (8 x - 71) = 0

Split into two equations:

5 x + 4 = 0 or 8 x - 71 = 0

Subtract 4 from both sides:

5 x = -4 or 8 x - 71 = 0

Divide both sides by 5:

x = -4/5 or 8 x - 71 = 0

Add 71 to both sides:

x = -4/5 or 8 x = 71

Divide both sides by 8:

Answer:  x = -4/5 or x = 71/8

Answer:

-5 (3b+4)

Step-by-step explanation:

-15b - 20

-5 (3b+4)

Answer:

-101

Step-by-step explanation:

5ac - 26

5 × -3 × 5 - 26 (since a = -3 & c = 5, you substitute them)

-15 × 5 - 26

- 75 - 26

- 101

I hope this is helpful.

Answer:

[tex]1[/tex] [tex]\frac{1}{4}[/tex]

Step-by-step explanation:

Hope this helps

Answer:

[tex]1 \frac{1}{4} [/tex]

Step-by-step explanation:

[tex] \frac{( - \frac{1}{2} + \frac{3}{4}) }{ \frac{1}{5} }\\ \frac{1}{4} \div \frac{1}{5} \\ 1 \frac{1}{4} [/tex]

Answer: The amount would be $3.70

Step-by-step explanation: 0.20x6=1.20+2.50=3.70

Answer:4

Step-by-step explanation:

Answer:

4 or 2

Step-by-step explanation:

The absolute value of the complex number, 2i, is 2.

Answer:

plot a graph and count it

Step-by-step explanation:

midpoint is the middle point of the line. it can be found by dividing the length of the line by 2 then counting inwards by that number.

Answer:

21 minutes

Step-by-step explanation:

60 - 18 = 42

18 carrots ÷ 9 minutes = 2 carrots per minute

42 ÷ 2 = 21

Answer:

5 Adult tickets were purchased and 3 student tickets were purchased.

Step-by-step explanation:

5 Adult tickets were purchased and 3 student tickets were purchased.

Step-by-step explanation:

Write the problem as an equation like this

11x+7x=76

Now make an equation for the number of purchased tickets. Let x be adult and y be students.

x+y=8

Rewrite x + y = 8 as y = -x +8

Substitute y = -x + 8 into the first equation for y.

11x+7(-x+8)=76

11x+(-7x)+56=76

solve for 11x+(-7x)

4x+56+76

subtract 56 from both sides

4x=20

Divide both sides by 4

X=5

x + y = 8

5 + y = 8

y = 3

5 Adult tickets were purchased and 3 student tickets were purchased.

5 adult tickets and 3 student tickets were purchased.

What are system equations?

A finite set of simultaneous equations are called system equations.

Let, they purchased x tickets for adults and y tickets for students.

Therefore, system equations are:

x + y = 8 ----- equation 1

11x + 7y = 76----- equation 2

From equation 1,  we get: x = (8 - y)

Now, substituting the value of x in equation 2, we get:

11 × (8 - y) + 7y = 76

⇒ 88 - 11y + 7y = 76

⇒ 88 - 76 = 4y

⇒ 4y = 12

⇒ y = 3.

Therefore, putting the value of y in equation 2, we get: x = (8 - 3) = 5.

Hence, 5 adult tickets and 3 student tickets were purchased.

Learn more about system equations here: https://brainly.com/question/24065247

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Answer:

There are 255 ants in 1 anthill.

Step-by-step explanation:

Do the cross multiplication method. First set the equation as 1275/5 = x/1. Then cross multiply to get 5x = 1275. Divide both sides by 5 to get 255.

1. Divide total quantity by serving size:

30 cups / 1 1/4 cup per serving =

30/1.25 = 24 servings.

2. Length of side of larger rectangle = 24

Length of side of smaller rectangle = 8

The scale factor of larger to smaller = 8/24 = 1/3

Scale factor is 1/3

Answer:

t>28

Step-by-step explanation:

Answer:

12cups=96oz.

Step-by-step explanation:

multiply the volume value by 8

12 oz equals 1.50 cups. 1 ounce is equivalent to 0.125 cups, and there are 1.50 cups in 12 ounces.