Karen purchased a DVD player on sale. The original selling price was $171.50. The sale price was $149.37.

Answer:

2730 ways

Step-by-step explanation:

Given that,

There are 15 eligible candidates for these positions.

The newly elected president needs to decide the remaining 3 spots available in the cabinet he/she is appointing.

It is a concept based on permutations.

[tex]P(n,r)=\dfrac{n!}{(n-r)!}[/tex]

Put n = 15 and r = 3

[tex]P(15,3)=\dfrac{15!}{(15-3)!}\\\\=\dfrac{15!}{12!}\\\\=\dfrac{15\times 14\times 13\times 12!}{12!}\\\\=15\times 14\times 13\\\\=2730[/tex]

Hence, 2730 ways can the members of the cabinet be appointed

Answer:

v = -122.5

Step-by-step explanation:

1: 2.3 + v/7 = -15.2

2: v/7 = -17.5

3: v = -122.5

Step 1: This is the given equation

Step 2: Here, 2.3 was subtracted from both sides of the equation to isolate v

Step 3: both sides of the equation were multiplied by 7 to get v = -122.5

Answer:

245 over 2

Step-by-step explanation:

just use a calculator and you should be able to get the question right

Answer:

30 boxes of tea

Step-by-step explanation:

27 (overall tea boxes) - 12 (boxes sold) = 15

15 (leftover boxes) x 18 (kg of each box) = 270

270 (overall kg of the boxes) divided by 9 (kg of the bags) = 30, so all the tea boxes can be placed into the bags

Answer:

1) 2x-3 = x -3 + x

2) 2x - 6 = -6 + 2x

3) [tex]\frac{3}{5}-\frac{13}{5}=-6.9+4.9[/tex]

4) 3x+0 = 3x

5)  [tex]\frac{5}{3}-x+\frac{1}{3}=-\frac{3}{2}x+2+\frac{1}{2}x[/tex]

Step-by-step explanation:

We need to match each expression on the left with an equivalent expression on the right

The expressions are equivalent if the have the same results.

1) 2x - 3

Looking at the options the best match is:

x -3 + x

When solve we get:

2x-3

So, 2x-3 = x -3 + x

2) 2x - 6

Looking at the options the best match is:

-6 + 2x

Because according to commutative property: a+b = b+a

So, 2x - 6 = -6 + 2x

3) [tex]\frac{3}{5}-\frac{13}{5}[/tex]

First simplifying the given expression:

[tex]\frac{3}{5}-\frac{13}{5}\\=\frac{3-13}{5}\\=\frac{-10}{5}\\=-2[/tex]

Looking at the options, -6.9+4.9 = -2

So, [tex]\frac{3}{5}-\frac{13}{5}=-6.9+4.9[/tex]

4) 3x + 0

Looking at the options the best match is:

3x

Because, adding 0 in 3x will result in 3x

So, 3x+0 = 3x

5) [tex]\frac{5}{3}-x+\frac{1}{3}[/tex]

First simplifying:

[tex]\frac{5}{3}-x+\frac{1}{3}\\=\frac{5-3x+1}{3}\\=\frac{6-3x}{3}\\= \frac{3(2-x)}{3}\\=2-x[/tex]

Now, solving the option: [tex]-\frac{3}{2}x+2+\frac{1}{2}x[/tex]

[tex]=\frac{-3x+4+1x}{2}\\=\frac{-2x+4}{2}\\=\frac{2(-x+2)}{2}\\=-x+2\\or\\=2-x[/tex]

So, [tex]\frac{5}{3}-x+\frac{1}{3}=-\frac{3}{2}x+2+\frac{1}{2}x[/tex]

Answer:

Step-by-step explanation:

(2/3)/4=(2/3)*(4/1)=8/3=2 2/3

Answer:

6.5

Step-by-step explanation:

Answer:

y≈15840

Step-by-step explanation:

Exponential Functions:

a=starting value = 14000

r=rate = 2.5%=0.025

Exponential Growth:

b=1+r=1+0.025=1.025

Write Exponential Function:

put it all together-

y=14000(1.025)^x

Plug in time for x:

y=14000(1.025)  ^5

Evaluate-

y=15839.71498

round-

y≈15840

Answer:

Step-by-step explanation:

wth is college in my recommended anyways here's the answer

your answer is -5

Answer:

[tex](f-g)(x)=2x-3[/tex]

Step-by-step explanation:

We are given the two functions:

[tex]f(x)=3x-1\text{ and } g(x)=x+2[/tex]

And we want to find:

[tex](f-g)(x)[/tex]

This is equivalent to:

[tex]=f(x)-g(x)[/tex]

By substitution:

[tex]=(3x-1)-(x+2)[/tex]

Simplify. Distribute:

[tex]=(3x-1)+(-x-2)[/tex]

Rearrange:

[tex]=(3x-x)+(-1-2)[/tex]

Therefore:

[tex](f-g)(x)=2x-3[/tex]

Answer:

Yes.

Step-by-step explanation:

3.5 + 5.5 > 7.8

Answer:

Maximum amount of toppings is 14 inequality is t <=14

Step-by-step explanation:

let t be the amount of toppings on the pizza

0.75t + 2 <= 12.50

0.75t <= 10.50

t <= 14

Answer:

im here for the points

Step-by-step explanation:

Answer: A) 6 in^2

First, you need to find the length of the base.

a = 3, b = ?, c= 5

Using Pythagorean Theorem*: a^2 + b^2 = c^2

b^2 = c^2 - a^2

b^2 = 5^2 - 3^2

b^2 = 25 - 9

b^2 = 16 (square root both sides)

b = 4

Now, you have to find the area using the area of a triangle formula: A = (bh)/2

A = (bh)/2

A = (4·3)/2

A = 12/2

A = 6 in^2

Pythagorean Theorem is used for this question since it's a right triangle.

Answer: A) 6in^2

Step-by-step explanation:

base = 4 in

height = 3 in (pythagorean theorem)

A = (bxh)/2 = (4x3)/2 = 12/2 = 6 in^2

Answer:

hi

Step-by-step explanation:

I need help on this too

Answer:

first one

Step-by-step explanation:

do i really need an explanation like come on

Answer:

7

Step-by-step explanation:

Answer:

y+3 = -2(x-4)

Step-by-step explanation:

The point slope form of a line is

(y-y1) = m(x-x1) where m is the slope and (x1,y1) is a point on the line

y- -3 = -2 (x-4)

y+3 = -2(x-4)

Answer:

[tex]\displaystyle x = \frac{216}{7}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define

[tex]\displaystyle \frac{6}{19} = \frac{x - 12}{2x - 2}[/tex]

Step 2: Solve for x

Answer:

[tex] \frac{6}{19} = \frac{x - 12}{2x - 2} \\ 6(2x - 2) = 19(x - 12) \\ 12x - 12 = 19x - 228 \\ 7x = 216 \\ \boxed{x = 30.857}[/tex]

Explanation:

[tex]\displaystyle [9, 3] → 3 = \sqrt{9} \\ [4, 2] → 2 = \sqrt{4} \\ [1, 1] → 1 = \sqrt{1} \\ [0, 0] → 0 = \sqrt{0}[/tex]

**In this case, we want NON-NEGATIVE terms.

I am joyous to assist you at any time.

Answer:

1,000 of 1,400 is 71.43%

Answer:

6 because 9 is the length and you only do length times height and 54 divided by 9 is 6 therefore the height is 6

Answer:

6units

Step-by-step explanation:

A=bh

54units^2=9*h

h=54/9

h=6units

Answer:

The middle one

Step-by-step explanation:

3/4=75%

Answer:

14 more meters

Step-by-step explanation:

6 times square (4) = 24

24-10 = 14

Answer:

24 quarts

Step-by-step explanation:

1 qrt = 75/2 = 37.5

900 / 37.5 = 24

Answer:

Jamarcus is the better shooter

Step-by-step explanation:

Jamarcus is better because he needs 10 more shots to reach 25 while tyrell needs 18 More shots to make 50

Answer:

Tyrell

Step-by-step explanation

Well this is simple you take Jamarcus shots made and divide it into the total shots which is 15/25=0.6 or 60%. So Jamarcus made 60% of the shots attempted. Tyrell made 32 out of 50 shots so that will be 32/50=0.64 or 64%. Since 64%>60% Tyrell is the better shooter

Answer:

There are two numbers {1,2} which is less than 3. so, required probability P(E) = 2/6 = 1/3.

Step-by-step explanation:

hope this helps