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Rus_ich [418]
3 years ago
8

Golf balls come in a variety of packages. A particular brand of golf balls come in packages of 12 or in packages of 18. The 12-p

ack costs $4.47 and the 18-pack costs $14.46. Which is the better deal and what is the unit price of the better deal?
Mathematics
1 answer:
Fantom [35]3 years ago
8 0

Answer:

The better deal is the 12 pack because the unit price is $0.37 which is lower than the unit price of the 18 pack that is $0.80.

Step-by-step explanation:

To find which is the better deal, you have to determine which one offers a lower unit price by dividing the price of each package by the number of balls in the pack:

$4.47/12=$0.37

$14.46/18=$0.80

According to this, the answer is that the better deal is the 12 pack because the unit price is $0.37 which is lower than the unit price of the 18 pack that is $0.80.

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At a sand and gravel plant, sand is falling off a conveyor and onto a conical pile at a rate of 6 cubic feet per minute. The dia
Alla [95]

Answer:

0.2122\text{ ft per min}

Step-by-step explanation:

Let r be the radius ( in feet ) of the cone,

So, the diameter of the cone = 2 × radius = 2r feet,

∵ The diameter of the base of the cone is three times the height,

If h represents the height of the cone,

⇒ 2r = 3 × h,

⇒ r=\frac{3h}{2} feet,

∵ Volume of a cone,

V=\frac{1}{3}\pi R^2 H

Where,

R = radius, H = height,

Thus, the volume of the given cone is,

V=\frac{1}{3}\pi r^2 h

=\frac{1}{3}\pi (\frac{3h}{2})^2 h

=\frac{3}{4}\pi h^3

Differentiating with respect to t ( time )

\frac{dV}{dt}=\frac{9}{4}\pi h^2\frac{dh}{dt}

We have,

\frac{dV}{dt}=6\text{ cubic ft per min},h=2\text{ feet}

6=\frac{9}{4}\pi (2)^2 \frac{dh}{dt}

6=9\pi \frac{dh}{dt}

\implies \frac{dh}{dt}=\frac{6}{9\pi }\approx 0.2122\text{ ft per min}

4 0
4 years ago
A quadrilateral has the following vertices on a coordinate plane:
dolphi86 [110]
<h3>Answer:  4</h3>

================================================

Explanation:

We'll only focus on points J and K.

J = (3, -6)

K = (-1, -6)

Because these two points have the same y coordinate (which is -6), this means we can ignore those values and subtract the x coordinates

3 minus (-1) = 3 - (-1) = 3 + 1 = 4

Or we could plot points J and K on the same xy grid system, and count out the number of spaces between J and K. You should count out 4 spaces.

This means segment JK is 4 units long.

8 0
3 years ago
Read 2 more answers
Line segment TV is a midsegment of ∆QRS. What is the value of n in the triangle pictured?
Elis [28]

Answer:

D. 3.2

Step-by-step explanation:

Mid-segment Theorem of a triangle states that the Mid-segment in a triangle is half of the third side of the triangle.

Based on this theorem, we have: TV = ½(RS)

TV = 3n - 2

RS = n + 12

Substitute

3n - 2 = ½(n + 12)

Multiply both sides by 2

2(3n - 2) = (n + 12)

6n - 4 = n + 12

Collect like terms

6n - n = 4 + 12

5n = 16

Divide both sides by 5

5n/5 = 16/5

n = 3.2

4 0
3 years ago
40 pounds of cashews costing $9.20 per pound were mixed with 100 1b of peanuts costing $3.32 per pound. Find the cost of the res
TEA [102]
It cost 12.52 cents all together
7 0
4 years ago
Which types of triangles can be formed by taking the cross-section of a rectangular prism like the one shown above?
Sonja [21]

Answer:

A.

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
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