Please help me with this question!!

A sweater is marked 30% off during an end or season sale. If the sweater was originally $56.00, what is the sale price of the sw

Ludmilka [50]

Answer:

Sweater costs 56.00

To calculate the discounted price of the sweater

56 * (30/100) = 16.8

We used (30/100) to find out the 30 percent of the sweater which will be on discount/reduced.

56-16.8=39.2 is the discounted price

Then we subtract the amount of discount from the original price of sweater to find out the discounted price.

Step-by-step explanation:

6 0

2 years ago

Gravel is being dumped from a conveyor belt at a rate of 10 cubic feet per minute. It forms a pile in the shape of a right circu

Sunny_sXe [5.5K]

Answer:

0.0221 feet per minute.

Step-by-step explanation:

$\text{Volume of a cone}=\dfrac{1}{3}\pi r^2 h$

If the Base Diameter = Height of the Cone

The radius of the Cone = h/2

Therefore,

$\text{Volume of the cone}=\dfrac{\pi h}{3} (\dfrac{h}{2}) ^2 \\V=\dfrac{\pi h^3}{12}$

Rate of Change of the Volume, $\dfrac{dV}{dt}=\dfrac{3\pi h^2}{12}\dfrac{dh}{dt}$

Since gravel is being dumped from a conveyor belt at a rate of 10 cubic feet per minute. Therefore, the Volume of the cone is increasing at a rate of 10 cubic feet per minute.

$\dfrac{dV}{dt}=10$ ft^3/min$

We want to determine how fast is the height of the pile is increasing when the pile is 24 feet high.

We have:

$\dfrac{3\pi h^2}{12}\dfrac{dh}{dt}=10\\\\$When h=24$ feet$\\\dfrac{3\pi *24^2}{12}\dfrac{dh}{dt}=10\\144\pi \dfrac{dh}{dt}=10\\ \dfrac{dh}{dt}= \dfrac{10}{144\pi}\\ \dfrac{dh}{dt}=0.0221$ feet per minute$

When the pile is 24 feet high, the height of the pile is increasing at a rate of 0.0221 feet per minute.

4 0

3 years ago

Find the area of the region enclosed by the curves yequals

Step2247 [10]

The area enclosed by the given 2 curves is; 8/3 or 2.67

<h3>How to Solve Integration with Limits?</h3>

We want to find the area enclosed by the curves;

y = x² - 2x

y = -x² + 2x

The point of intersection of the parabola and the line is given by;

x² - 2x = -x² + 2x

2x² - 4x = 0

Solving this gives;

x = 0, 2

Therefore, the area bounded by the parabola and the line between x = 0 and x = 2 is given as;

A = ∫₀² (-x² + 2x - x² + 2x)

A = ∫₀² (-2x² + 4x)

Using online integration calculator here gives;

A = 2.67

Read more about Integration at; brainly.com/question/14388434

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6 0

2 years ago

Which choices are solutions to the following equation x^2-5x=-9/4

koban [17]

Answer:

the explanation is in the picture

please like and Mark as brainliest

6 0

3 years ago

Sabric and Jessica disagree over an inequality statement. Sabric claims that –3.613 > –3.63. Jessica claims that –3.613 <

Darya [45]

Answer: Sabric is correct because 3.613 is smaller than 3.63. Therefore, –3.613 lies to the left of –3.63 on a number line.

Step-by-step explanation:

Given that:

Sabric's claim = –3.613 > –3.63

Jessica's claim = –3.613 < –3.63

From the claims above, - 3.613 is greater than - 3.63, this is because both numbers are negative and as such moving towards the left hand side of the number line from 0. - 3.613 will be encountered first before - 3.630, which signifies that - 3.613 is greater than - 3.630

3 0

3 years ago