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dangina [55]
3 years ago
12

The price of a bicycle was decreased by 40% to £96. What was the price before the decrease?The price of a computer was decreased

by 20% to £420. What was the price before the decrease?
Mathematics
1 answer:
Mkey [24]3 years ago
6 0
The first one would be $160 and the second one would be $525
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Solve for x in the equation x squared + 2 x + 1 = 17.
Papessa [141]

Answer:

x = - 1 + \sqrt{17}\\and\\x = - 1 - \sqrt{17}\\

Step-by-step explanation:

given equation

x^2 +2x +1 = 17

subtracting 17 from both sides

x^2 +2x +1 = 17\\x^2 +2x +1 -17= 17-17\\x^2 +2x - 16 = 0\\

the solution for quadratic equation

ax^2 + bx + c = 0 is given by

x = x = -b + \sqrt{b^2 - 4ac} /2a \\\\and \ \\-b - \sqrt{b^2 - 4ac} /2a

________________________________

in our problem

a = 1

b = 2

c = -16

x =( -2 + \sqrt{2^2 - 4*1*-16}) /2*1 \\x =( -2 + \sqrt{4  + 64}) /2\\x =( -2 + \sqrt{68} )/2\\x = ( -2 + \sqrt{4*17} )/2\\x =  ( -2 + 2\sqrt{17} )/2\\x = - 1 + \sqrt{17}\\and\\\\x = - 1 - \sqrt{17}\\

thus value of x is

x = - 1 + \sqrt{17}\\and\\x = - 1 - \sqrt{17}\\

3 0
3 years ago
Nine times the sum of a number and 4 is 3. Use the variable w for the unknown number
DENIUS [597]
9(w+4)=3
9w+36=3
w=-33/9
6 0
3 years ago
PLEASE PLEASE PLEASE HELP ME
lubasha [3.4K]

Answer:

CE = 17

Step-by-step explanation:

∵ m∠D = 90

∵ DK ⊥ CE

∴ m∠KDE = m∠KCD⇒Complement angles to angle CDK

In the two Δ KDE and KCD:

∵ m∠KDE = m∠KCD

∵ m∠DKE = m∠CKD

∵ DK is a common side

∴ Δ KDE is similar to ΔKCD

∴ \frac{KD}{KC}=\frac{DE}{CD}=\frac{KE}{KD}

∵ DE : CD = 5 : 3

∴ \frac{KD}{KC}=\frac{5}{3}

∴ KD = 5/3 KC

∵ KE = KC + 8

∵ \frac{KE}{KD}=\frac{5}{3}

∴ \frac{KC+8}{\frac{5}{3}KC }=\frac{5}{3}

∴ KC + 8 = \frac{25}{9}KC

∴ \frac{25}{9}KC - KC=8

∴ \frac{16}{9}KC=8

∴ KC = (8 × 9) ÷ 16 = 4.5

∴ KE = 8 + 4.5 = 12.5

∴ CE = 12.5 + 4.5 = 17

7 0
3 years ago
Jimmy has 26,387
Anni [7]

Answer:

263,870

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
2 Points
vfiekz [6]

Answer:

$63

Step-by-step explanation:

  • Penny = $0,01
  • Nickel = $0.05
  • Dime = $0.1
  • Quarter= $0.25
  • Number of pennies = 6*50 = 300
  • Number of nickels = 5*40= 200
  • Number of dimes = 4*50= 200
  • Number of quarters = 3*40 = 120

<u>Total amount of money:</u>

  • 300*0.01+ 200*0.05 + 200*0.1 + 120*0.25 = $63
5 0
3 years ago
Read 2 more answers
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