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Ghella [55]
3 years ago
10

An online t-shirt store is having a sale. The original price of each t-shirt is p dollars. The store sells 20 t shirts and earns

a total of (20p - 60) dollars.
A. Factor the expression using the GCF
20p - 60 =

B. The discount per t-shirt is $
Mathematics
1 answer:
SVETLANKA909090 [29]3 years ago
3 0
20 (p-3) is the anwser
You might be interested in
A circle has a radius of 14 units. What is the area in square units of the circle in terms of π?
Snowcat [4.5K]
Area of circle = pi r²

14²= 196

196 x pi = 196pi

Area = 196pi units²
3 0
3 years ago
Plastic Knives are sold in packs of 18 for 45p. Plastic Forks are sold in packs of 15 for 41p. Jace wants to buy the same number
Flauer [41]

Answer:

430p

Step-by-step explanation:

For this, we'll find the least common multiple for 15 and 18.

=> The least common multiple for 15 and 18 is 90

<u><em>Plastic Knives:</em></u>

Jace will buy 90 knives.  

=> Packets = 90/18 = 5 Packets

Money for 5 Packets = 5 * 45

=> 225p

<u><em>Plastic Forks:</em></u>

Jace will buy 90 forks also.

=> Packets = 90/15 = 6 Packets

Money fro 6 packets = 6 * 41

=> 205p

<u><em>Least Amount of Money Jace will spend</em></u> = 225p+205p

=> 430p

6 0
3 years ago
Find the point on the parabola y^2 = 4x that is closest to the point (2, 8).
guapka [62]

Answer:

(4, 4)

Step-by-step explanation:

There are a couple of ways to go at this:

  1. Write an expression for the distance from a point on the parabola to the given point, then differentiate that and set the derivative to zero.
  2. Find the equation of a normal line to the parabola that goes through the given point.

1. The distance formula tells us for some point (x, y) on the parabola, the distance d satisfies ...

... d² = (x -2)² +(y -8)² . . . . . . . the y in this equation is a function of x

Differentiating with respect to x and setting dd/dx=0, we have ...

... 2d(dd/dx) = 0 = 2(x -2) +2(y -8)(dy/dx)

We can factor 2 from this to get

... 0 = x -2 +(y -8)(dy/dx)

Differentiating the parabola's equation, we find ...

... 2y(dy/dx) = 4

... dy/dx = 2/y

Substituting for x (=y²/4) and dy/dx into our derivative equation above, we get

... 0 = y²/4 -2 +(y -8)(2/y) = y²/4 -16/y

... 64 = y³ . . . . . . multiply by 4y, add 64

... 4 = y . . . . . . . . cube root

... y²/4 = 16/4 = x = 4

_____

2. The derivative above tells us the slope at point (x, y) on the parabola is ...

... dy/dx = 2/y

Then the slope of the normal line at that point is ...

... -1/(dy/dx) = -y/2

The normal line through the point (2, 8) will have equation (in point-slope form) ...

... y - 8 = (-y/2)(x -2)

Substituting for x using the equation of the parabola, we get

... y - 8 = (-y/2)(y²/4 -2)

Multiplying by 8 gives ...

... 8y -64 = -y³ +8y

... y³ = 64 . . . . subtract 8y, multiply by -1

... y = 4 . . . . . . cube root

... x = y²/4 = 4

The point on the parabola that is closest to the point (2, 8) is (4, 4).

4 0
2 years ago
I don’t know how to do this. can someone please help me :)
Kaylis [27]
The surface area of a cylinder is the sum of the area of the two ends and the lateral area.
.. surface area = 2*(end area) +(lateral area)
.. = 2*(π*r^2) +(2π*r*h)
.. = 2π*r*(r +h)
.. = 2*3.14*(8 in)*(8 in +8 in)
.. = 3.14*256 in^2
.. ≈ 803.8 in^2

The 3rd selection is appropriate.
8 0
3 years ago
The two-way table shows the number of houses on the market in the Castillos’ price range. A 6-column table has 4 rows. The first
Masja [62]

Answer:

The anwser is D 0.8

Step-by-step explanation:

3 0
3 years ago
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