You buy a shirt on sale for $20. This
sale price is 20% off the original price.
How much was the original price of
the shirt?

Answer:

z = 9

Step-by-step explanation:

7z = z + 54

7z - z = 54

6z = 54

z = 54 / 6

z = 9

Answer:

1.)280 2.)142.5 3.)30

Step-by-step explanation:

1500+5%= 1505 that is the answer I got I hope this was helpful

divide tomato genome and human genome and you'll get

= 0.3

standard form is

3 × 10-¹

Answer:

15°

Step-by-step explanation:

120° and 8x are vertically opposite angles, which are always equal.

=> 8x = 120°

=> x = 120/8

=> x = 15°

Answer:

A logical sentence is written as:

If P, then Q.

Where:

P = hypothesis

Q = conclusion.

For this particular case, we know that a number is even only if the number is divisible by 2.

Then we can write:

if a number is divisible by 2, then it is an even number.

Here we have:

hypothesis = a number is divisible by 2.

conclusion = the number even.

Answer:

72-12-12-12-12-12-12

Step-by-step explanation:

Since 12*6=72 is just 12 +12 6 times/ division is just the opposite

Answer:

x√3 = 5√ 3

x = 5√ 3 / √ 3

x= √ 3(5√ 3 / √ 3)

x= 15/3

b= 5

5x2 =10

a=10 and b=5

Answer:

We can find the solution to a system of equations by graphing the equations. Let's do this with the following systems of equations:

Answer: 1.5 mm

Step-by-step explanation:

Answer: r=1.02

Step-by-step explanation:

(3 • 4.5/4•pi)1/2

Answer:

$11,000

Step-by-step explanation:

8% × $25,000

$2,000

$2,000 × 7

$14,000

$25,000 - $14,000

$11,000

Answer:

[tex]\frac{(x + 1)(x - 2)}{x^{2} + 5}[/tex] This is the third option.

Step-by-step explanation:

Dividing a fraction is the same as multiplying the reciprocal of the second fraction.

[tex]\frac{x + 1}{x + 4}[/tex] × [tex]\frac{(x + 4)(x - 2)}{x^{2} + 5}[/tex]

[tex]\frac{(x + 1)(x + 4)(x - 2)}{(x + 4)(x^{2} + 5)}[/tex]  Here, we can just get rid of the (x + 4) because it is common in both the numerator and denominator so they cancel each other out.

So the answer would be [tex]\frac{(x + 1)(x - 2)}{(x^{2} + 5)}[/tex] .

I hope this makes sense!! ^-^

Answer:

Step-by-step explanation:

\[2~ sin^2 x+3sin x+1=0\]

\[2sin^2x+2sin x+sin x+1=0\]

2sinx(sin x+1)+1(sin x+1)=0

(sin x+1)(2 sin x+1)=0

either sin x+1=0

sin x=-1=sin 3π/2=sin (2nπ+3π/2)

x=2nπ+3π/2,where n is an integer.

or 2sin x+1=0

sin x=-1/2=-sin π/6=sin (π+π/6),sin (2π-π/6)=sin (2nπ+7π/6),sin (2nπ+11π/6)

x=2nπ+7π/6,2nπ+11π/6,

where n is an integer.

Answer:

150

Step-by-step explanation:

Answer:

26

Step-by-step explanation:

You take the 65 plyers multiplied by the 40 % then you get 2600. You take that divided by 100 and get 26

Answer:

y = 8x

Step-by-step explanation:

hope this is what u need if not comment and I'll change it

<3

Answer:

3x - 5 > 2/3x

Step-by-step explanation:

Answer:500 g

Step-by-step explanation:

Answer:

Step-by-step explanation:

On my screen it is C. Which is number of baskets on the bottom and total pints in the side. Hope this helps:)

Answer:

for # 1 the answer is B

for the second one i dont know

for the last one the answer is D

Step-by-step explanation:

Parts a through c is missing and it is;

a) From the perspective of the 33-year-old male, what are the monetary values corresponding to the two events of surving the year and not surviving?

The value corresponding to surviving the year is $_____.

The value corresponding to not surviving the year is $_____.

b) If the 33-year-old male purchases the policy, what is his expected value?

The expected value is $_____.

c) Can the insurance company expect to make a profit from many such policies? Why?

_____ because the insurance company expects to make an average profit of $_____ on every 33-year-old male it insures for 1 year.

Answer:

A) the value that corresponds to surviving the year = - $186

The value corresponding to not surviving the year = $99814

B) μ = -$56

C) Yes, the company can make a profit from many such policies because it makes an average profit of $56 on every 31 year old male it insures for 1 year.

Step-by-step explanation:

A) The company charges $186 for insuring. Thus;

Amount paid out = - $186

Therefore, the value that corresponds to surviving the year = - $186

Therefore, the value corresponding to not surviving the year = $100000 - $186

The value corresponding to not surviving the year = $99814

B) since probability that a 31 year old male survives is 0.9987, then;

Probability that a male doesn't survive is;

P(doesn't survive) = 1 - 0.9987

P(doesn't survive) = 0.0013

The expected value is calculated from;

μ = Σx•P(x) = (0.0013 × 99814) + (-186 × 0.9987)

μ = -$56

C) Yes, the company can make a profit from many such policies because it makes an average profit of $56 on every 31 year old male it insures for 1 year.

Answer: Potential; Kinetic

Step-by-step explanation:

''...During this process, potential energy has been changed into kinetic energy.''

Potential energy is the energy that a stationery object has because it is stored within the object. In this case the object is the book.

When an object begins to move, it gains kinetic energy which is converted from its potential energy. As the book falls to the floor in this scenario, it gained kinetic energy as its potential energy was converted to enable it move.

For S if the ratio is 2:7 and you use 20 drops of red paint you multiply 2 by 10 which is 20 so you also multiply 7 by ten to get 70 (So the answer for S is 70 drops) and for L you multiply 2 by 20 to get 40 so you multiply 7 by 20 and you get 140 (The answer for L is 140 drops) For T you multiply 2 by 1.5 to get 3 so you multiply 7 by 1.5 which is 10.5 ( so the answer for T is 10.5 drops)

Answer:

x = 25

Step-by-step explanation:

53 = 2x + 3

x = (53 - 3)/ 2

x = 25

Answer:

one solution

Step-by-step explanation:

here, we want to select the correct option

From the system, we have two values of y

Equating the y-values

3x + 2 = -2x - 1

What this mean is that there is only a particular point where this solution will work and as such, the system has one solution

Answer:

Step-by-step explanation:

By the Pythagorean Theorem we know

h^2=x^2+y^2 (where h is the hypotenuse and x and y are sides of a right triangle)

w^2+18^2=30^2

w^2=30^2-18^2

w^2=900-324

w^2=576

w=24 in

I believe the answer is (3,4)