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cestrela7 [59]
2 years ago
5

You saved $140 on your new laptop because you bought it online. If this was a 10% savings from the original price, find the orig

inal cost of the laptop.
Mathematics
1 answer:
frez [133]2 years ago
6 0

Answer:

$155.56

Step-by-step explanation:

Find the original cost by dividing the new cost by 0.9:

140/0.9

= 155.56

So, the original cost was approximately $155.56

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Solve the equation, justify<br> each step with an algebraic<br> property<br> -(x - 6) = 4
lesantik [10]

Answer:

x=2

Step-by-step explanation:

Step 1_  −(x−6)=4

              −x+6=4(Distribute)

               −x+6=4

Step 2_       −x+6−6=4−6

                   −x=−2

Step 3_       −x    equals   -2

                    −1                   -1

x=2

Hope this helps :)

3 0
2 years ago
What is 17. 60 divided by 8 in short division?
lesantik [10]
The answer's 2.2
I'm sorry I can't show you, but LaTex doesn't allow you to show short division.
You can find out how to do it here, on Wikipedia's page. https://www.wikiwand.com/en/Short_division
8 0
3 years ago
Someone help me with this plss​
ladessa [460]
2.57 + 5x = 25.92 is the equation and when you solve for x you would get x = 4.67
3 0
3 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
2 years ago
The terminal side of an angle in standard position passes through P(15, –8). What is the value of sine theta? sine theta = fifte
Pavlova-9 [17]

The value of sine theta = negative eight-seventeenths ⇒ 2nd

Step-by-step explanation:

Let us revise the quadrant of an angle its terminal side passes through a given point

  • If the given point is (x , y), then the angle lies in the 1st quadrant
  • If the given point is (-x , y), then the angle lies in the 2nd quadrant
  • If the given point is (-x , -y), then the angle lies in the 3rd quadrant
  • If the given point is (x , -y), then the angle lies in the 4th quadrant

∵ The terminal side of angle Ф passes through P (15 , -8)

∵ x = 15 and y = -8

- P is (x , -y), then the angle Ф lies in the 4th quadrant

∵ The terminal side of angle Ф is the hypotenuse of a right

   triangle whose horizontal leg is 15 units and vertical leg

   is -8 units

- Use Pythagoras Theorem to find the length of the hypotenuse

∴ Hypotenuse = \sqrt{(15)^{2}+(-8)^{2}}=17 units

∵ sinФ = \frac{opposite}{hypotenuse}

∵ The side opposite to Ф is -8

∵ The hypotenuse is 17

∴ sinФ = \frac{-8}{17}

The value of sine theta = negative eight-seventeenths

Learn more:

You can learn more about the trigonometry function in brainly.com/question/4924817

#LearnwithBrainly

3 0
2 years ago
Read 2 more answers
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