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3 years ago

How we make 17/24 smaller

Mathematics

1 answer:

borishaifa [10]3 years ago

4 0

Answer:um you simplify it

Step-by-step explanation:

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- 1/2 divided by (4 3/8)<br><br> PLEASE HELP SOLVE! THANKS!

faust18 [17]

Answer -4/35

Reason
Simplify the fraction
-1/2 divided by 35/8
Keep Change Flip
It becomes -1/2 times 8/35
Multiply across
-8/70
Simplify
-4/35

7 0

4 years ago

A fried chicken franchise finds that the demand equation for its new roast chicken product, "Roasted Rooster," is given by p = 4

LUCKY_DIMON [66]

Answer:

1. $q=(\dfrac{45}{p})^{\frac{2}{3}}$

2. $E_d=-\dfrac{2}{3}$

Step-by-step explanation:

The given demand equation is

$p=\dfrac{45}{q^{1.5}}$

where p is the price (in dollars) per quarter-chicken serving and q is the number of quarter-chicken servings that can be sold per hour at this price.

Part 1 :

We need to Express q as a function of p.

The given equation can be rewritten as

$q^{1.5}=\dfrac{45}{p}$

Using the properties of exponent, we get

$q=(\dfrac{45}{p})^{\frac{1}{1.5}}$ $[\because x^n=a\Rightarrow x=a^{\frac{1}{n}}]$

$q=(\dfrac{45}{p})^{\frac{2}{3}}$

Therefore, the required equation is $q=(\dfrac{45}{p})^{\frac{2}{3}}$ .

Part 2 :

$q=(45)^{\frac{2}{3}}p^{-\frac{2}{3}}$

Differentiate q with respect to p.

$\dfrac{dq}{dp}=(45)^{\frac{2}{3}}(-\dfrac{2}{3})(p^{-\frac{2}{3}-1}})$

$\dfrac{dq}{dp}=(45)^{\frac{2}{3}}(-\dfrac{2}{3})(p^{-\frac{5}{3}})$

$\dfrac{dq}{dp}=(45)^{\frac{2}{3}}(-\dfrac{2}{3})(\dfrac{1}{p^{\frac{5}{3}}})$

Formula for price elasticity of demand is

$E_d=\dfrac{dq}{dp}\times \dfrac{p}{q}$

$E_d=(45)^{\frac{2}{3}}(-\dfrac{2}{3})(\dfrac{1}{p^{\frac{5}{3}}})\times \dfrac{p}{(45)^{\frac{2}{3}}p^{-\frac{2}{3}}}$

Cancel out common factors.

$E_d=(-\dfrac{2}{3})(\dfrac{1}{p^{\frac{5}{3}}})\times \dfrac{p}{p^{-\frac{2}{3}}}$

Using the properties of exponents we get

$E_d=-\dfrac{2}{3}(p^{-\frac{5}{3}+1-(-\frac{2}{3})})$

$E_d=-\dfrac{2}{3}(p^{0})$

$E_d=-\dfrac{2}{3}$

Therefore, the price elasticity of demand is -2/3.

3 0

3 years ago

Which value must be added to the expression x2 16x to make it a perfect-square trinomial?

Mashutka [201]

Answer:

Step-by-step explanation:

x^2+16x+16

(x+4)(x+4)

x^2+ 4x+4x+16

6 0

2 years ago

Please help!!!!! Answer ASAP

V125BC [204]

Answer:

$\large\boxed{P=5\dfrac{3}{10}\ cm=5.3\ cm}$

Step-by-step explanation:

If you want find the perimeter, then you must add all lengths of sides of the given polygon.

$P=AB+BC+CD+DE+EA\\\\AB=1\dfrac{3}{4}\ cm,\ BC=1\dfrac{1}{10}\ cm,\ AE+DC=1\dfrac{1}{5}\ cm,\ DE=1\dfrac{1}{4}\ cm\\\\P=1\dfrac{3}{4}+1\dfrac{1}{10}+1\dfrac{1}{5}+1\dfrac{1}{4}=\left(1\dfrac{3}{4}+1\dfrac{1}{4}\right)+1\dfrac{1}{10}+1\dfrac{1\cdot2}{5\cdot2}\\\\=2\dfrac{4}{4}+1\dfrac{1}{10}+1\dfrac{2}{10}=3+2\dfrac{3}{10}=5\dfrac{3}{10}$

Other method.

Convert the mixed numbers to the decimal:

$AB=1\dfrac{3}{4}\ cm=1.75\ cm\\\\BC=1\dfrac{1}{10}\ cm=1.1\ cm\\\\AE+DC=1\dfrac{1}{5}\ cm=1.2\ cm\\\\DE=1\dfrac{1}{4}\ cm=1.25\ cm\\\\P=1.75+1.1+1.2+1.25=5.3\ cm$

6 0

4 years ago

If h(x)=x-9, find h(13)

Tom [10]

If you plug in 13 into h(x), the other simplified way is h(13)=13-9

The answer would be 4.

6 0

3 years ago