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AnnyKZ [126]
3 years ago
13

Melissa and her freinds are streching rubbing bands for an activyty in science class . mellisa streched hers 10 inces. juan 3 1/

2 times as far. sarah streched it 4/4 as far. marsha streched it 2/5 as far. put the students in order of how far they streched ther rubber bands from least to greatest
Mathematics
1 answer:
Misha Larkins [42]3 years ago
8 0
Marsha, Sarah & Melissa (tied), Juan
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ABCD is a rectangle ,its diagonals meet at O.If AO = 5x+1 and BO = 4x+9,find the length of the diagonals .(lengths in cm).
Sergeu [11.5K]

Answer:

82 cm

Step-by-step explanation:

In rectangles diagonals are equal and bisect each other

AO = BO

5x + 1 = 4x + 9

Subtract 1 from  both sides

5x  = 4x + 9 -1

5x = 4x + 8

Subtract 4x from both the sides

5x - 4x = 8

x = 8

AO = 5x + 1

     = 5*8  +1

     = 40 + 1

AO= 41 cm

Diagonal = 2*41 = 82 cm

7 0
3 years ago
In a sample of students, 125 said they exercise on a regular basis. How large was the sample if 27.3% said they exercised on a r
krek1111 [17]

First, let's declare a variable

x = # of students

Now, let's create an equation to model the problem.

x * 0.273 = 125

Divide both sides by 0.273

x = 457.8 = 458 students.

Note, I rounded to the nearest whole number.

5 0
2 years ago
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Write the product of -2 and (3 - 5a) as the sum of two factors
NARA [144]

-6 + 10a


-2x3=6 and -2x-5a is 10a

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2 years ago
A movie theater has been charging $10.00 per person and selling about 500 tickets on a typical weeknight. After surveying their
kifflom [539]

Answer:

p(x) = -0.01x + 15

Step-by-step explanation:

Given

Let x represent the number of tickets, and p the charges

(x_1,p_1) = (500,10)

A reduction of 50c gives an increment of 50 tickets.

This gives:

(x_2,p_2) = (500+50,10-0,5) ---- 50c = \$0.5

(x_2,p_2) = (550,9.5)

Required

Determine the demand function

First, calculate the slope:

m = \frac{p_2 - p_1}{x_2 - x_1}

m = \frac{9.5 - 10}{550-500}

m = \frac{-0.5}{50}

m = -0.01

So, the equation is:

p = m(x - x_1) + y_1

p = -0.01(x - 500) +10

p = -0.01x + 5 +10

p = -0.01x + 15

Hence, the function is:

p(x) = -0.01x + 15

4 0
3 years ago
What was the name of the famous mogul ruler who finally defeated the song dynasty and saw the complete conquest of china?
Finger [1]
Did you mean mongol?
Kublai Khan
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3 years ago
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