A company sells two versions of an antivirus software. The home edition costs $23.50, and the business edition costs $58.75. Last week, the company earned $29,668.75 from selling 745 copies of the software.


If x represents the number of copies of the home edition sold and y represents the number of copies of the business edition sold, which system of equations represents this situation?

Answer:

d = 4

Step-by-step explanation:

4d - 4 = 5d - 8

Add -5d and 4 on both sides.

4d - 5d = - 8 + 4

- 1d = - 4

Divide -1 into both sides.

d = -4/-1

d = 4

Answer:

the answer is D!

Step-by-step explanation:

I took that quiz :)

Answer:

A. <

Step-by-step explanation:

The symbol "<" means less than.

Comparing 4.589 with 4.958, 4.958 is greater than 4.589 by 0.369 (4.958 - 4.589).

So therefore, if we are to write 1 statement for both, we would say "4.589 is less than 4.958".

This can be written by using just symbols without words, thus, we have:

4.589 < 4.958.

The correct option is A. <

Answer:

the measure of this is

Step-by-step explanation:

cheese cheese cheese cheese cheese cheese cheese cheese cheese cheese cheese cheese cheese cheese cheese cheese cheese cheese cheese cheese cheese cheese cheese cheese cheese cheese cheese cheese cheese cheese cheese cheese cheese cheese cheese cheese cheese cheese cheese cheese cheese cheese cheese cheese cheese cheese cheese cheese cheese cheese cheese cheese cheese cheese cheese cheese cheese cheese cheese

The answer is 5 in a close dot going --->

Which is D.)

The picture is to show how it looks in Plato.

Answer: D.

Step-by-step explanation:

If they already have 565 cans and 87 will bring cans then we could represent it by the inequality  

87x + 565[tex]\geq[/tex] 1000  where x is the number of cans each guest much bring to meet the goal. so solve for x.

87x  + 565[tex]\geq[/tex] 1000

        -565     -565

87x [tex]\geq[/tex] 435

x [tex]\geq[/tex]  5  

since we now that x is 5  then A  and C can't be answers.

B can't be an answer in this case because 5 is excluded but they actually need at least 1000 bottles so 5 needs to be excluded.

answer x>1/2 (sqrt(21) - 3)

x>0.791288

Answer:6

Step-by-step explanation:

Answer:

(a)See below

(b)I) 0.125  (ii)0.828125   (iii)0.234375   (iv) 0.625   (v)0.65625

Step-by-step explanation:

When an  8-sided die is rolled twice, the sample space is the set of all possible pairs (a,b) where a is the 1st outcome and b is the 2nd outcome.

The sample space is:

[tex][(1, 1), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6),(1, 7),(1, 8)\\(2, 1), (2, 2), (2, 3), (2, 4), (2, 5), (2, 6),(2, 7),(2, 8)\\(3, 1), (3, 2), (3, 3), (3, 4), (3, 5), (3, 6),(3, 7),(3, 8)\\(4, 1), (4, 2), (4, 3), (4, 4), (4, 5), (4, 6),(4, 7),(4, 8)\\(5, 1), (5, 2), (5, 3), (5, 4), (5, 5),(5, 6),(5, 7),(5, 8)\\(6, 1), (6, 2), (6, 3), (6, 4)(6, 5),(6, 6),(6, 7),(6, 8)\\(7, 1), (7, 2), (7, 3), (7, 4)(7, 5),(7, 6),(7, 7),(7, 8)\\(8, 1), (8, 2), (8, 3), (8, 4)(8, 5),(8, 6),(8, 7),(8, 8)][/tex]

PART A

The sample space of the product a*b of each pair forms the required possibility diagram.

This is given as:  

[tex]1, 2, 3, 4, 5, 6,7,8\\2, 4, 6, 8, 10, 12,14,16\\3,6,9,12,15,18,21,24\\4,8,12,16,20,24,28,32\\5,10,15,20,25,30,35,40\\6,12,18,24,30,36,42,48\\7,14,21,28,35,42,49,56\\8,16,24,32,40,48,56,64[/tex]

PART B

I) A prime number

The number of products that gives prime numbers = 8  

The probability that the product is a prime number

[tex]=\dfrac{8}{64}= \dfrac{1}{8}\\=0.125[/tex]

ii) Not a perfect square  

Number of products that results in perfect squares =11

The probability that the product is not a perfect square

[tex]=\dfrac{64-11}{64}= \dfrac{53}{64}\\=0.828125[/tex]

iii) A multiple of 5  

Number of products that are multiples of 5=15

 The probability that the product is a multiple of 5

[tex]=\dfrac{15}{64}\\=0.234375[/tex]

iv) Less than or equal to 21

Number of products which are less than or equal to 21=40

 The probability that the product less than or equal to 21

[tex]=\dfrac{40}{64}=\dfrac{5}{8}\\=0.625[/tex]

v) Divisible by 4 or 6

Number of products divisible by 4 or 6= 42

 The probability that the product is divisible by 4 or 6

[tex]=\dfrac{42}{64}=\dfrac{21}{32}\\=0.65625[/tex]

Answer:

240 m to nearest meter.

Step-by-step explanation:

h = -4.9t^2 + 68.6t

We need to convert this to vertex form to find the maximum value of h:

h = -4.9(t^2 - 14t)

h = -4.9[(t - 7)^2 - 49]

h =  -4.9(t - 7)^2 + 240.1

So maximum height is when t = 7 and it's 240.1 meters.

Answer:

Region B

Step-by-step explanation:

The solution to the system is the point at which the two lines intersect, which would be in Region B.

Answer:

x = 12:15=×5

36

060

Step-by-step explanation:

12:15=0

x=0

Answer:

4

Step-by-step explanation:

Divide the left side by 3

12:15

12/3 : 15/3

4:5

x would be 4

Answer:

-65

Step-by-step explanation:

-80 - -15

Two minuses become plus

= -80+15

Subtract and keep the sign of the higher number

= -(80-15)

= -65

Answer:

I'm glad you asked!

Step-by-step explanation:

[tex]-80-(-15)[/tex]

= [tex]-80-(-15)[/tex]

= [tex]=-80+15[/tex]

[tex]=-65[/tex]

The answer is - [tex]65.[/tex]

Answer:

Hope it will helpful.Follow for more answers.

Explanation:

Label the slots A,B,C for first through third place.

There are 8 choices for slot A, 7 for slot B, and 6 for slot C. We start with 8 and count our way down until we get to the final slot. Then we multiply out those values

8*7*6 = 336

There are 336 ways to select three people from a pool of eight overall.

-----------------

If you want to use the permutation formula, then your steps might look like this

[tex]_n P _r = \frac{n!}{(n-r)!}\\\\_8 P _3 = \frac{8!}{(8-3)!}\\\\_8 P _3 = \frac{8!}{5!}\\\\_8 P _3 = \frac{8*7*6*5!}{5!}\\\\_8 P _3 = 8*7*6\\\\_8 P _3 = 336\\\\[/tex]

Note how the 5! terms cancel out on the second to last step, leaving behind the expression 8*7*6 which was found earlier.

Answer:

1/6

Step-by-step explanation:

We have two points so we can use the slope formula

m = (y2-y1)/(x2-x1)

    = (6-3)/(12 - -6)

    = (6-3)/(12+6)

     = 3/18

     =1/6

Step-by-step explanation:

1) = 4ab

2) 12a2b

3) 8ab2

4) 6ab2

5) 12abc

6) 6ab2c

7) 16a2bc

8) 27abc

Answer:

5/54

Step-by-step explanation:

probability of the dice being 5 = 1/6

probability of the dice being a factor of 6 = 4/6

probability of the dice being more than 1 = 5/6

1/6 * 4/6 = 4/36

4/36 * 5/6 = 20/216

20/216 simplified to lowest is equal to 5/54

Answer:

18/17

Step-by-step explanation:

the negative reciprocal of -289/324 is 324/289. When it is multiplied by 17/18 you get 18/17 as the answer.

Answer:

[tex] - 1 \frac{1}{17}[/tex]

Step-by-step explanation:

[tex]Reciprocal \: of \: - \frac{289}{324} = - \frac{324}{289} \\ \\ \frac{17}{18} \times (- \frac{324}{289} ) \\ \\ = \frac{17}{18} \times (- \frac{18 \times 18}{17 \times 17} ) \\ \\ = - \frac{18}{17} \\ \\ = - 1 \frac{1}{17} \\ [/tex]

Answer:

Step-by-step explanation:

Parallel lines have same slope

19) y = x - 4

m = 1 ;   (2, 3 )

Equation: y - y₁ = m(x- x₁)

             y - 3 = 1(x - 2)

              y - 3 = x -2

                   y = x - 2 + 3

y = x + 1

20) 2x + 3y = 3

We have to write in y = mx + b  form

3y =  - 2x - 3

[tex]y=\frac{-2}{3}x-\frac{3}{3}\\\\y=\frac{-2}{3}x-1\\\\m=\frac{-2}{3}[/tex]; (-6, -1)

[tex]y-[-1]=\frac{-2}{3}(x-[-6])\\\\y+1=\frac{-2}{3}(x+6)\\\\y+1=\frac{-2}{3}x+\frac{-2}{3}*6\\\\y+1=\frac{-2}{3}x-4\\\\y=\frac{-2}{3}x-4-1\\\\y=\frac{-2}{3}x-5[/tex]

for perpendicular lines, m2 = -1/m1

21) y = 2x+ 5

m1 = 2

[tex]m_{2}=\frac{-1}{2}[/tex];     (-2,8)

[tex]y-8=\frac{-1}{2}(x-[-2])\\\\y-8=\frac{-1}{2}(x+2)\\\\y-8=\frac{-1}{2}x+2*\frac{-1}{2}\\\\y-8=\frac{-1}{2}x-1\\\\y=\frac{-1}{2}x-1+8\\\\y=\frac{-1}{2}x+7[/tex]

22) x+ 4y = 8

           4y = -x + 8

             [tex]y=\frac{-1}{4}x+\frac{8}{4}\\\\y=\frac{-1}{4}x+2\\\\m_1=\frac{-1}{4}\\\\m_{2}=4\\\\[/tex]

m2 = 4;  (-2,-11)

y - [-11] = 4(x -[-2])

y + 11 = 4 (x + 2)

y + 11 = 4x + 8

      y = 4x + 8 - 11

      y = 4x - 3

Answer:

Step-by-step explanation:

From the figure attached,

Given : LM ≅ OP

            PQ ≅ MN

            NL ≅ QO

To Prove : ΔLMN ≅ ΔOPQ

In the triangles LMN and OPQ,

             Statements              Reasons

1). LM ≅ OP                       1). Given

2). PQ ≅ MN                     2). Given

3). NL ≅ QO                      3). Given

4). ΔLMN ≅ ΔOPQ            4). By SSS property of congruence

Answer:

Use demos or a graphing calc.

Step-by-step explanation:

Answer:

Graph the line using the slope and y-intercept, or two points.

Slope: −4/7

y-intercept: 1

Answer:

Brainliest if correct!

Step-by-step explanation:

6561

9^4

the first one!!!

Answer:

Yvette plotted (10, 2) because for 10 oranges you have 2 pineapples. Similarly, she would plot (20, 4) for the same reason.

Answer:

20,4

Step-by-step explanation:

edge

Answer:

x ≥ 20

Step-by-step explanation:

First, we want to isolate x. We can start to do that by subtracting 6 to both sides.

x/10≥2

Now, we multiply each side by 10.

x ≥ 20

That's the answer, all values above or equal to 20 are solutions.

Answer:

The answer is x_> 20

Step-by-step explanation:

Answer:

0.100

Step-by-step explanation:

0.0995 has 4 decimal places

5>4 so round up

9 turns to 10, the 1 is "added on" to the number ahead

9 turns to 10 again, the 1 is "added on" to the number ahead

0 turns to 1

you are left with 0.100

Answer:

0.100

Step-by-step explanation:

Three decimal places: 0. 0 / 9 / 9 / 5

Rounding number: 0. 0 / 9 / 9 / 5

Since it is 5, add 1 to the second 9. This will result to 0 while adding 1 to the first 9. Again, this would result to 10 which will add 1 to the next number, 0.

0.1000

Since the question wants you to round three places, you were not told to remove the zeros in those decimal places. So only remove the last 0.

0.100 is the answer

Answer:  (b) vertical stretch by a factor of 6

Step-by-step explanation:

Consider h(x) = A(x - h)² + k

f(x) = x²

g(x) = 6x²

         ↓

       vertical stretch by a factor of 6

Problem: You do not have an attached picture. Though, I can help you out with this question.

So, three-fifths of the members are girls. There are 30 of girls. We can immediately make an equation using "x".

3/5x=30

3/5x × 5/3=30 × 5/3

x=50

Thus, there are 50 members in total. Though if x is too hard for you, you may substitute it by using another variable.

Variable in here is x.

Answer:

7.5 miles

Step-by-step explanation:

Given the equation d(t) = 0.5t, all you need to do is plug in the value of t.

They're asking what the Function equals, and they're giving you the value of the variable t.

To solve, write the equation d(15) = 0.5(15)

And if you simplify the right side of the equation, you'll find that

d(15) = 7.5

If t represents time, then you can conclude that Julio travels 7.5 miles in the time t, of 15 minutes.

Answer:

x = ±20

Step-by-step explanation:

x^2 -1=399

Add 1 to each side

x^2 = 399+1

x^2 = 400

Take the square root of each side

sqrt(x^2) = ±sqrt(400)

x = ±20

Answer:

K = -2

Step-by-step explanation:

If y varies directly as x, k (constant) can be found by dividing the y-coordinate by the x-coordinate.

[tex]k = \frac{2}{-1} = -2[/tex]

Answer:

B

Step by step explanation