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dmitriy555 [2]
3 years ago
15

A shop advertises 20% off its prices in a sale.

Mathematics
2 answers:
sdas [7]3 years ago
6 0

Answer:

£45

Step-by-step explanation:

Say the original price is x. When we take 20% off, that's basically multiplying x by 20% and then subtracting that product from the original price, which is x:

x - 20% * x = 80% * x = 0.8x

Now, this equals £36, so we just set them equal:

0.8x = 36

Dividing by 0.8 from both sides, we get:

x = £45

Thus, the answer is £45.

harina [27]3 years ago
6 0

Answer:

£43.2

Step-by-step explanation:

before discount the price was

120%×36

=£43.2

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A baby who was 18 inches at birth is now 24 inches by what percentage did the babys height increase
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Answer:

≈33.3%

Step-by-step explanation:

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24-18 = 6

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3 years ago
Write an equation in standard form of the hyperbola described.
marishachu [46]

Check the picture below, so the hyperbola looks more or less like so, so let's find the length of the conjugate axis, or namely let's find the "b" component.

\textit{hyperbolas, horizontal traverse axis } \\\\ \cfrac{(x- h)^2}{ a^2}-\cfrac{(y- k)^2}{ b^2}=1 \qquad \begin{cases} center\ ( h, k)\\ vertices\ ( h\pm a, k)\\ c=\textit{distance from}\\ \qquad \textit{center to foci}\\ \qquad \sqrt{ a ^2 + b ^2} \end{cases} \\\\[-0.35em] ~\dotfill

\begin{cases} h=0\\ k=0\\ a=2\\ c=4 \end{cases}\implies \cfrac{(x-0)^2}{2^2}-\cfrac{(y-0)^2}{b^2} \\\\\\ c^2=a^2+b^2\implies 4^2=2^2+b^2\implies 16=4+b^2\implies \underline{12=b^2} \\\\\\ \cfrac{(x-0)^2}{2^2}-\cfrac{(y-0)^2}{12}\implies \boxed{\cfrac{x^2}{4}-\cfrac{y^2}{12}}

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2 years ago
How do you solve this compound inequality???? Please show work!!! Thanks!!
svet-max [94.6K]

5n - 1 < -16

Add 1

5n < -15

Divide

n < -3

n is less than -3


-3n - 1 < 8

add 1

-3n < 9

divide by -3

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3 years ago
Help!!!!!!!!!find the equation of the linear function q(16)=1 that is parralel to f(x)=1/3x+39
kkurt [141]

Answer:

q(x)= \frac{1}{3} x -\frac{13}{3}

Step-by-step explanation:

So you have (16, 1)

When two linear functions are parallel, they have the same slope.

So function q also has a slope of 1/3x. You have a set of points so you can plug them in a slope intercept equation to find b.

y= mx+b

m= slope

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1= 1/3(16) +b

1 - (16/3) = b

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so then, y= \frac{1}{3} x -\frac{13}{3}

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