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scZoUnD [109]
3 years ago
15

New packaging for fruit snacks contains 10% less weight than the original packaging. If the new package costs 15% more than the

original package, by what fraction did the unit price increase? Express your answer as a common fraction.
Mathematics
1 answer:
xz_007 [3.2K]3 years ago
8 0

Answer:

5/18

Step-by-step explanation:

Let's say the original packaging was 1 lb of packaging for $1.

The cost was $1/lb.

Then the weight went down by 10% and the price went up by 15%.

Now 0.9 lb of packaging cost $1.15.

The new unit cost is $1.15/(0.9 lb)

The difference is

$1.15/(0.9 lb) - $1/lb =

= $1.15/(0.9 lb) - $0.9/(0.9 lb)

= $0.25/(0.9 lb)

=$25/(90 lb) = $5/(18 lb)

The price went up by 5/18.

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the blueprint of a conference room is made using a scale of 2 centimeters to 1 meter. if the drawing shows the room is 12 centim
aksik [14]

Answer:

6meters

Step-by-step explanation:

Use simple proportion

2cm = 1m

12cm = ?

(12x1)/2 = 6m

6 0
3 years ago
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Arrange the cones in order from least volume to greatest volume. a cone with a diameter of 20 units and a height of 12 units a c
Gekata [30.6K]

Answer:

Step-by-step explanation:

The volume of a cone can be found with the following equation:

V = \frac{\pi r^{2}h}{3}

where r is the radius of the base and h is the height of the cone.

For the cone with diameter of 20 units and height of 12 units, the volume is the following:

V = \frac{\pi(10)^{2}(12)}{3}

V = \frac{1200\pi}{3}

V = 400\pi

For the cone with diameter of 18 units and height of 10 units, the volume is the following:

V = \frac{\pi(9)^{2}(10)}{3}

V = \frac{810\pi}{3}

V = 270\pi

For the cone with diameter of 20 units and height of 12 units, the volume is the following:

V = \frac{\pi(10)^{2}(9)}{3}

V = \frac{900\pi}{3}

V = 300\pi

5 0
3 years ago
A(t) = (t – k)(t - 3)(t - 6)(t + 3) is a polynomial function of t, where k is a constant.
mr Goodwill [35]

the absolute value of the product of the zeros of a is -108 .

<u>Step-by-step explanation:</u>

Here we have , a(t) = (t - k)(t - 3)(t - 6)(t + 3) is a polynomial function of t, where k is a constant.  Given that a(2) = 0 . We need to find the  absolute value of the product of the zeros of a . Let's find out:

Equation every factor of a(t) to zero we get:

⇒ a(t) = (t - k)(t - 3)(t - 6)(t + 3) = 0

⇒ (t - k) =0\\(t - 3)=0\\(t - 6)=0\\(t + 3) = 0

⇒ t  =k\\t =3\\t = 6\\t =- 3

But , t=2 So , k=2  . Now , the absolute value of the product of the zeros of a is :

⇒ k(3)(6)(-3)

⇒ 2(3)(6)(-3)

⇒ -108

Therefore, the absolute value of the product of the zeros of a is -108 .

4 0
3 years ago
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DerKrebs [107]

Answer:

8x+2=y

I hope this helps:)

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Micky can clean a house in 3 hours. Denise can clean the same house in 9 hours. How long will it take them to clean the house if
Andreyy89

Answer:

9 - 3 = 6.

Therefore, the answer equals to 6 hours .

I hope this helps :))

Step-by-step explanation:

6 0
2 years ago
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