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Svet_ta [14]
3 years ago
14

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

Mathematics
1 answer:
inna [77]3 years ago
3 0

Answer:

£160

Step-by-step explanation:

£160 times 0.6 equals  £96

since  £96 is 60% of the original price since 40% was taken off

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What is the solution to the linear equation?
Vikki [24]

Answer:

x=-5

Step-by-step explanation:

7 0
3 years ago
If x^2+1/x^2=3 find the value of x^2/(x^2+1)^2<br> Express answer as a common fraction.<br> Thanks!!
timama [110]

x^2+\dfrac1{x^2}=3\implies x^4+1=3x^2\implies x^4-3x^2+1=0

By the quadratic formula,

x^2=\dfrac{3\pm\sqrt5}2\implies x^2+1=\dfrac{5\pm\sqrt5}2

Then

(x^2+1)^2=\dfrac{25\pm10\sqrt5+5}4=\dfrac{15\pm5\sqrt5}2

\implies\dfrac{x^2}{(x^2+1)^2}=\dfrac{\frac{3\pm\sqrt5}2}{\frac{15\pm5\sqrt5}2}=\dfrac{3\pm\sqrt5}{15\pm5\sqrt5}

Multiply numerator and denominator by the denominator's conjugate:

\dfrac{3\pm\sqrt5}{15\pm5\sqrt5}\cdot\dfrac{15\mp5\sqrt5}{15\mp5\sqrt5}=\dfrac{45\pm15\sqrt5\mp15\sqrt5-25}{15^2-(5\sqrt5)^2}=\dfrac{20}{100}=\dfrac15

3 0
3 years ago
The function f is continuous on the closed interval [1,15] and has the values shown on the table above. Let g(x) = ∫f(t) dt [1,x
Anna11 [10]
We're looking for the two values being subtracted here. One of these values is easy to find:

<span>g(1) = ∫f(t)dt = 0</span><span>
since taking the integral over an interval of length 0 is 0.
 
The other value we find by taking a Left Riemann Sum, which means that we divide the interval [1,15] into the intervals listed above and find the area of rectangles over those regions:

</span><span>Each integral breaks down like so:

(3-1)*f(1)=4

(6-3)*f(3)=9

(10-6)*f(6)=16

(15-10)*f(10)=10.

So, the sum of all these integrals is 39, which means g(15)=39.
 
Then, g(15)-g(1)=39-0=39.
</span>
I hope my answer has come to your help. God bless and have a nice day ahead!
3 0
3 years ago
Read 2 more answers
What quantity of a 65% acid solution must be mixed with a 25% solution to produce 600 mL of a 45% solution?
soldier1979 [14.2K]
Lets say x is quantity
65%x+25%(600-x)=45%of 600
.65x+.25(600-x)=.45*600
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3 years ago
-3.08333333333 as a mixed number
kherson [118]

Answer:

-3\frac{1}{12}

Step-by-step explanation:

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