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satela [25.4K]
3 years ago
14

Solve the equation 24 - 1/8p = 3/8p

Mathematics
1 answer:
Taya2010 [7]3 years ago
4 0

Answer:  p = 48

Step-by-step explanation:

24 - 1/8p = 3/8p         Add 1/8p to both sides  

     + 1/8p    1/8p  

24 =  4/8p       Divide both sides by 4/8  

 p = 48

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What numbers multiply to 6 and add up to 9
Nookie1986 [14]
Xy = 6
x + y = 9

     x + y = 9
x - x + y = -x + 9
           y = -x + 9

                                          xy = 6
                                x(-x + 9) = 6
                            x(-x) + x(9) = 6
                                 -x² + 9x = 6
                            -x² + 9x - 6 = 0
              -1(x²) - 1(-9x) - 1(6) = 0
                       -1(x² - 9x + 6) = 0
                                 -1           -1
                             x² - 9x + 6 = 0
                             x = -(-9) ± √((-9)² - 4(1)(6))
                                                 2(1) 
                             x = 9 ± √(81 - 24)
                                            2
                             x = 9 ± √(57)
                                        2
                             x = 4.5 ± 0.5√(57)

                       x + y = 9
   4.5 ± 0.5√(57) + y = 9
- (4.5 ± 0.5√(57))    - (4.5 ± 0.5√(57))
                             y = 4.5 ± 0.5√(57)
                       (x, y) = (4.5 ± 0.5√(57), 4.5 ± 0.5√(57))

The two numbers that multiply to 6 and add up to 9 are 4.5 ± 0.5√(57).
6 0
3 years ago
A driver travels for 2 hours at 80 miles per hour, during
algol [13]

Answer:

$84

Step-by-step explanation:

Find how many miles she traveled by multiplying 80 and 2.

80 × 2 = 160 miles

Next find out how much she gets paid for her mileage by multiply $0.60 and 160.

160 × $0.60 = $96.00

Now find out how much she spent on gas. She gets 40 miles per gallon so solve how many gallons she used by dividing 160 by 40.

160 ÷ 40 = 4 gallons

Then multiply 4 gallons by $3.00

4 × 3 = $12

To find the net rate of pay subtract 96 and 12

$96 - $12 = $84

8 0
3 years ago
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Answer:

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Step-by-step explanation:

So we can make this an equation

16 · 16 square tray = 9 bagels on top of it

We just doubled both sides of it

giving us 32 · 32 square tray = 18 bagels can be held.

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Sam uses text messaging to communicate. The table below represents a proportional relationship between the number of words Sam t
kompoz [17]

Answer:

y= 60x

Step-by-step explanation:

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3 years ago
For the data set below, which of the
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Answer:A Mean

Step-by-step explanation:

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3 years ago
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