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exis [7]
1 year ago
11

In the figure to the right, AE + DC = 1 1/5 cm, AB = 1 3/4 cm, DE = 1 1/4 cm, and BC = 1 3/10 cm. Find the perimeter of the figu

re.

Mathematics
1 answer:
Sloan [31]1 year ago
5 0

Answer:

5\dfrac{1}{2}\ cm

Step-by-step explanation:

The perimeter of the shown figure is the sum of the lengths of all sides. So, the perimeter is

AE+ED+DC+CB+AB

Using commutative and reflexive properties, rewrite it as follows:

(AE+DC)+DE+BC+AB

Therefore, the perimeter is

P\\ \\=1\dfrac{1}{5}+1 \dfrac{1}{4}+1\dfrac{3}{10}+1\dfrac{3}{4}\\ \\=(1+1+1+1)+\left(\dfrac{1}{5}+\dfrac{3}{10}\right)+\left(\dfrac{1}{4}+\dfrac{3}{4}\right)\\ \\=4+\left(\dfrac{2}{10}+\dfrac{3}{10}\right)+1\\ \\=5+\dfrac{5}{10}\\ \\=5+\dfrac{1}{2}\\ \\=5\dfrac{1}{2}\ cm

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I rent a gym for $150.00 for 30 students. Another time I rent the gym for $270.00 for 70 students. I need to find a fixed rate.
masha68 [24]

Answer: y = 3x + 60

<u>Step-by-step explanation:</u>

Set up two equations and solve the system:

 270 = 70x + b

- <u>(150 = 30x + b)</u>

  120 = 40x

    3   =  x

Input "x" into one of the equations and solve for "b":

150 = 30x + b

150 = 30(3) + b

150 = 90 + b

60 = b


Equation: y = 3x + 60

This means that there is a flat fee of $60 plus a rate of $3 per student


5 0
2 years ago
Factor 10e2 completely.
Reil [10]

Answer:

(2•5e2)

Step-by-step explanation:

3 0
1 year ago
What is the solution to the system of equations? y = A system of equations. Y equals StartFraction 2 over 3 EndFraction x plus 3
Sauron [17]

Answer:

The solution to the given system of equations is (-2,\frac{5}{3})

Therefore the values of x and y are x=-2 and y=\frac{5}{3}

Step-by-step explanation:

Given equations can be written as

y=\frac{2}{3}x+3\hfill (1)

x=-2x+3x=-2\hfill (2)

Solving equation(2) we get

x=-2

Substitute x=-2 in equation (1) we get

y=\frac{2}{3}(-2)+3

=-\frac{4}{3}+3

=\frac{-4+9}{3}

=\frac{5}{3}

Therefore the values of x and y are  x=-2 and y=\frac{5}{3}

The solution to the given system of equations is (-2,\frac{5}{3})

5 0
1 year ago
Read 2 more answers
Ralph has 957 race car stickers. He gave 10 to Ken. He gave 100 to Matt. How many stickers does Ralph have left?
Andrei [34K]
957-10=947. 947-100=847,so Ralph has 847 race car stickers left.
7 0
2 years ago
Read 2 more answers
Describe how to transform the quantity of the third root of x to the fourth power, to the fifth power into an expression with a
Novosadov [1.4K]

Answer:

x^{\frac{20}{3} }

Step-by-step explanation:

To write: third root of x to the fourth power, to the fifth power into an expression with a rational exponent

Solution:

Exponent refers to the number of times a number is multiplied to itself.

Exponent is sometimes also known as power.

Third roots of x=x^{\frac{1}{3} }

Third root of x to the fourth power(x^{\frac{1}{3} })^4 =x^{\frac{4}{3} }

Third root of x to the fourth power, to the fifth power=(x^{\frac{4}{3} })^5= x^{\frac{20}{3} }

8 0
2 years ago
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