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VladimirAG [237]
3 years ago
11

A book is on sale for 30% off. The sale price of the book is $14. What is the original price of the book

Mathematics
1 answer:
Yuki888 [10]3 years ago
8 0

Since $14 is the price after a 30% discount then $14 is 70% of the original price.

$14/70=x/100 (100% would be the original price)

1400=70x or 1400/70 = $20!

You can double check the work by taking 30% off the $20 (10% would be $2, 30% would then be $6) 20-6=14!

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Solve for (a+1)/2=1/a.
LenKa [72]

Hello!

To solve this, you are trying to convert one side to a quadratic equation and the other to just 0. Then, solve the equation.

----

First, move the /2 to the other side of the equation.

(a+1)/2 = 1/a

a+1 = 2/a

Next, multiply both sides by a.

a+1 = 2/a

a^{2} +a=2

And then subtract both sides by 2. This will get you to a quadratic equation.

a^{2} +a=2

a^{2} +a-2=0

Now, factor the equation. When we're factoring, we are looking for the form (a + b)(a + c), where b + c must equal 1 (the coefficient of a) and b*c must equal -2. In this case, b = 2, and c = -1.

Therefore:

a^{2} +a-2=0

(a + 2)(a - 1) = 0

To get the answer, recall that anything multiplied by 0 is equal to 0. Therefore, to get the left side to equal 0, either (a + 2) or (a - 1) must equal 0. To do this, a must either be -2 or 1.

Therefore, a = -2, or a = 1.

----

Check your work:

(-2 + 1)/2 = 1/-2

-1/2 = -1/2

(1 + 1)/2 = 1/1

2/2 = 1/1

1 = 1

----

Hope this helps!

6 0
3 years ago
How do I solve k - 16/5 = k + 4
KengaRu [80]
You can't, the K cancels itself out. There is no solution to this
6 0
3 years ago
Read 2 more answers
Find the area of the surface. the part of the hyperbolic paraboloid z = y2 − x2 that lies between the cylinders x2 + y2 = 16 and
meriva
Parameterize the surface (call it \mathcal S) by

\mathbf s(u,v)=\langle u\cos v,u\sin v,u^2\sin^2v-u^2\cos^2v\rangle=\langle u\cos v,u\sin v,-u^2\cos2v\rangle

with 4\le u\le5 and 0\le v\le2\pi, which yields

\mathrm dS=\|\mathbf s_u\times\mathbf s_v\|\,\mathrm du\,\mathrm dv=u\sqrt{1+4u^2}\,\mathrm du\,\mathrm dv

Then the area of \mathcal S is given by the surface integral

\displaystyle\iint_{\mathcal S}\mathrm dS=\int_{v=0}^{v=2\pi}\int_{u=4}^{u=5}u\sqrt{1+4u^2}\,\mathrm du\,\mathrm dv=\dfrac{(101^{3/2}-65^{3/2})\pi}6
8 0
3 years ago
A shop sells small chocolate bars and large chocolate bars the small chocolate bars are sold in packs of 4 large packets of choc
IrinaVladis [17]

The number of small chocolate-bars sold is 272.

<h3>What is a ratio? </h3>

Ratio expresses the relationship between two or more numbers. It shows the number of times that one value is another value. The sign used to represent ratios is :.

<h3>What is the number of small chocolate bars sold?</h3>

The number of packs small chocolate bars sold = (ratio of he number of small chocolate bars sold / sum of ratios) x number of chocolate bars sold

(5/7) x 95 = 67.8 = 68

The number of  small chocolate bars sold = 68 x 4 = 272

To learn more about ratios, please check: brainly.com/question/25927869

5 0
3 years ago
For a normal curve with mean 7 and standard deviation 4, which of the following parts of the normal curve will have an area of a
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Becauser its really really really curvy and stuff i think that swhy ty
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