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?

Answers

Answer 1

Answer:

x + y = 745

23.50x + 58.75y = 29,668.75

Step-by-step explanation:

Since 745 copies were sold and  x represents the number of copies of the home edition sold and y represents the number of copies of the business edition sold:

x + y = 745

Since the home edition costs $23.50, and the business edition costs $58.75:

The money earned from home edition is = 23.50x

The money earned from business edition is = 58.75y

Since the company earned $29,668.75:

23.50x + 58.75y = 29,668.75


Related Questions

Which statement forms part of cell theory?
A.
Cell organelles are capable of reproducing themselves.
B.
Cells differ in shape, but they have identical components.
C.
All cells begin life as prokaryotic cells.
D.
All living things are made up
of cells.

Answers

Answer:

D. All living things are made up of cells.

Step-by-step explanation:

D. All living things are made up of cells.

O The cell theory is a widely accepted principle of biology. Scientists that contributed to the cell theory include; Theodor Schwann, Matthias Schleiden, and Rudolph Virchow.

The cell theory states that;

O All living organisms are made up of cells and they may be unicellular or multicellular.

O The cell is the basic structural and functional unit of life.

Cells arise from pre-existing cells.  

A holiday costs £1200. Work out the price after a 7% discount.

Answers

Answer:

1116

Step-by-step explanation:

0.93(1200)

1116

Discounts are used to reduce the price of an item

The price after a 7% discount is £1116

How to determine the price after discount

The given parameters are:

Cost = £1200

Discount = 7%

So, the price after the discount is:

Price = Cost * (1-  Discount)

This gives

Price = £1200 * (1-  7%)

Evaluate the product

Price = £1116

Hence, the price after a 7% discount is £1116

Read more about discount at:

https://brainly.com/question/843074

Jake paid $40.50 per solar panel for eight panels and an additional installation fee for a total of $338.50. Jen paid $42.99 per panel for eight panels and an additional installation fee for a total of $354.42. Find the difference between the installation fees Jake and Jen paid.

Answers

Answer: $4.00

Step-by-step explanation:

$40.50 * 8 = $324.00

$338.50 - $324.00 = $14.50

Jake’s installation fee is $14.50

$42.99 * 8 = $343.92

$354.42 - $343.92 = $10.50

Jen’s installation fee is $10.50

To find the difference between the two fees, you subtract the larger fee by the smaller fee.

$14.50 - $10.50 = $4.00

help me solve this please :)

Answers

Answer:

The diagonal has to measure 10 meters

Step-by-step explanation:

The diagonal has to be based on the Pythagorean theorem (for right angle triangles) and that is:

[tex]diagonal^2=side_1^2+side_2^2\\diagonl^2=6^2+8^2\\diagonal ^2=36+64\\diagonal^2=100\\diagonal = 10 \,\,m[/tex]

10 meters becuase of the diagonal measure

HELP ME!!! y is inversely proportional to square of x. Given that y=3 when x=7, find the value of x when y=18.375 TYSM!

Answers

Answer:

The value of x is -2√2 or 2√2.

Step-by-step explanation:

Given that y is inversely proportion to x², y ∝ 1/x². So the formula will be y = k/x² where k is the constant. In order, to find the value of k, you have to substitute the values of x and y into the formula :

[tex]y = \frac{k}{ {x}^{2} } [/tex]

[tex]let \: x = 7 \\ let \: y = 3[/tex]

[tex]3 = \frac{k}{ {7}^{2} } [/tex]

[tex]3 = \frac{k}{49} [/tex]

[tex]3 \times 49 = k[/tex]

[tex]k = 147[/tex]

[tex]y = \frac{147}{ {x}^{2} } [/tex]

Next, you have to substitute the y value into the equation to find x :

[tex]let \: y = 18.375[/tex]

[tex]18.375 = \frac{147}{ {x}^{2} } [/tex]

[tex]18.375 {x}^{2} = 147[/tex]

[tex] {x}^{2} = \frac{147}{18.375} [/tex]

[tex] {x}^{2} = 8[/tex]

[tex]x = ± \sqrt{8} [/tex]

[tex]x = - 2 \sqrt{2} \: \: or \: \: 2 \sqrt{2} [/tex]

there are 24 and 40 students in the class the ratio is 4:7 how many students are in the class

Answers

Answer:

33 Students

Step-by-step explanation:

4+7=11 so the number of students in the class must be a multiple of 11. The only multiple of 11 between 24 and 40 is 33.

Help please, which one is a quadratic expression?

Answers

Answer: -6x^2 + 3 and 1 - 4x^2

Step-by-step explanation:

A quadratic expression is an expression that can be in the form ax^2 + bx + c, where a, b, and c are all constants, and a does not equal 0. (ax must be squared, it can't be raised to a power other than 2)

-6x^2 + 3 and 1 - 4x^2 can be in the form ax^2 + bx + c. Therefore, they are the quadratic expressions.

A circle is shown. 2 tangents intersect at a point outside of the circle to form an angle with a measure of 70 degrees. The tangents intersect the circle at points Q and R. Point S is on arc Q R.
What is the measure of arc QSR?

°

Answers

There are many ways to detect this answer try 86 degrees

Answer:

250 degrees

Step-by-step explanation:

just did it :)

What is the Equation of the line of symmetry for the parabola represented by the equation y= -2(x-7)^2+11 Enter your answer as The correct equation, like this x=42

Answers

Answer:

Step-by-step explanation:

Sing robbery and ur done

Jason and his children went into a grocery store and will buy bananas and mangos.
Each banana costs $0.90 and each mango costs $2. Jason has a total of $25 to spend
on bananas and mangos. Write an inequality that would represent the possible values
for the number of bananas purchased, b, and the number of mangos purchased, m.

Answers

Answer: 0.90b + 2m ≤ 25

Step-by-step explanation: 0.90 = bananas + 2 = mangoes is less than or equal to 25

pls Answer me
I will mark as BRAIN LIST. ​

Answers

Answer:

Sin P=15/17Sec p=17/8

solution,

[tex]a. \: 17 \: cos \: p = 8 \\ cos \: p = \frac{8}{17} \\ sec \: p = \frac{1}{cos \: p} \\ \: \: \: \: \: \: \: = \frac{17}{8} \\ \\ b. \: sin \: p = \sqrt{1 - ( \frac{8}{17}) ^{2} } \\ \: \: \: \: \: \: \: \: \: \: = \sqrt{1 - \frac{64}{289} } \\ \: \: \: \: \: \: \: \: = \sqrt{ \frac{1 \times 289 - 64}{289} } \\ \: \: \: \: \: \: \: \: \: = \sqrt{ \frac{225}{289} } \\ \: \: \: \: \: \: \: \: = \sqrt{ { \frac{15}{ {17}^{2} } }^{2} } \\ \: \: \: \: \: \: \: = \frac{15}{17} [/tex]

hope this helps...

Good luck on your assignment..

If someone can do all of these for me Ill give brainliest i don’t get it at all.

Answers

I will not be able to explain but you can surely trust those answers
A = 130
B = 50
C = 50
D = 130
E = 75
F = 105
G = 105
H = 75
I = 40
J = 140
K = 38
L = 102
M = 38
N = 50
O = 95
P = 35
Q = 130
R = 100
S = 100
T = 80
U = 80
V = 35
W = 45
X = 40
Y = 40
Z = 60

2x+y-5= Please help

Answers

+2 !!!!!!!!!!!!!!!!!!!!! :)

The final velocity of an object moving in on one dimension is given by the formula v = u + at, where u is the initial velocity, a is thr acceleration, and t is the time. Solve this equation for t. To solve for t, first

Answers

Answer:

Given Below

Step-by-step explanation:

v = u+at

u+at = v

at = v-u

t = v-u/a

Hope this helps

Answer:

D. a = (v – u)/t

Step-by-step explanation:

just did it on e2020

Yummy Cookies just opened a brand new cookie bakery. The baker wants to increase the number of cookies he makes and sells each month. So far, the carrot cake cookie has been the best seller. In January, the baker made 14 of these cookies. In February, the baker doubled the January order, and took 5 cookies home to his family. The baker left the rest of the carrot cake cookies at the bakery to be sold. Every cookie left at the bakery sold. If this pattern continues, how many cookies will the baker sell in March and April?

Answers

Answer:

Number of cookies sold in March= 46

Number of cookies sold in April= 92

Step-by-step explanation:

Number of cookies made in Feb= 2×14= 28

Number of cookies sold in Feb= 28-5= 23

Number of cookies sold in March= 2× number of cookies sold in Feb

Number of cookies sold in March= 2× 23= 46

Number of cookies sold in April= 46×2= 92

I really need help with this ​

Answers

Answer:

11cm

Step-by-step explanation:

Perimeter of triangle= sum of all three sides

28cm= AB +BC +AC

28cm= AB + 9cm +8cm

Bringing all constants to one side,

AB= 28 -9 -8

AB= 11cm (simplify)

Does anybody know this​

Answers

Answer:

A)

i) 17 => 14 => 11

ii) 3 => 17 => 87

B)

=> 6+5(n-1)

Connor is stuck in a traffic jam on a single-lane road. The traffic report tells him the
traffic jam stretches for 5.5 miles.
If Connor assumes each car is about 12.5 feet long, which calculation is most
reasonable for Connor to use to find about how many cars are stuck in the traffic jam?

Answers

Answer:

Cornor should divide the total length of the road on which there is traffic by the length of each of the cars

Step-by-step explanation:

The best calculation he can use is to divide the total length of the road on which we have the traffic by the length of each of the cars

Mathematically, the best way to go about this is to convert the miles to feet then divide by the length of each of the cars

Mathematically 1 mile = 5280 feet

so 5.5 miles will be = 5280 * 5.5 = 29,040 feet

It is this length we shall now divide by 12.5 ft

And that is 29,040/12.5 = 2,323.2

Which is approximately 2,323 cars

Dr. Santiago is contemplating the impact of an antibiotic on a particular patient. The patient
will take 840 milligrams, and every hour his body will break down 45% of it. How much will
be left after 5 hours?
If necessary, round your answer to the nearest tenth.

Answers

Answer:

Step-by-step explanation:

If his body is breaking down 45% of the medicine, it is losing 100% - 45% = 55%. This means that while he is LOSING 45% of the medicine, he is KEEPING 55% of it. This is an exponential function of the type

[tex]y=a(b)^x[/tex] where y is the amount of medicine after the increase or decrease (b) of the original amount, a. The number of hours is represented by x.

Our original amount is 840 mg, so a = 840. And if we are losing .45, we are retaining .55, so b = .55. The model for this situation is

[tex]y=840(.55)^x[/tex]

If we want to find out how much medicine is left after 5 hours, we sub in a 5 for x and solve for y:

[tex]y=840(.55)^5[/tex] and

y = 840(.0503284375) so

y = 42.2758875 or, rounded to the nearest tenth,

y = 42.3 mg

41/17 rounded to the nearest hendreth

Answers

Answer:

2.47

Step-by-step explanation:

convert it to a decimal = 2.47058823....

then round that to a nearest hundredth = 2.47

Answer:

2.41

Step-by-step explanation:

41÷17= 2.411764705882353...

        ≈ 2.41

all of the following are acceptable ways to name the angle shown except?

Answers

Step-by-step explanation:

where is figure man

.....

Answer:

The answer is:  ∠ R

The formula F=1.8C + 32 is used to convert temperatures between degrees Fahrenheit (F) and degrees Celsius (C). How many degrees Fahrenheit is it if it is currently 30º C?

Answers

Answer:

86 degrees

Step-by-step explanation:

What is the value of a in the equation?

22 = StartFraction a Over 11 EndFraction

Answers

Answer:

242

Step-by-step explanation:

22=a/11

22 times 11 = a

242 = a

a= 242

hope this helps

Answer:

The Answer Is (242) that's it I did the exam happily. :)

A saleperson receives a base salary of $37,000 in commission of 8% of the total sales of the year if the sales person sells $265,000 of merchandise what is his total salary for the year

Answers

Answer:

Sale-person's total salary for the year is  $ 82,050

Step-by-step explanation:

Base salary of salesperson = $37,000

commission percentage of salesperson = 17% of sales

sales made in a year = $265,000

commission for salesperson in $ = 17% of sales

commission for salesperson in $ = 17 / 100 *  $265,000 = $45,050

Thus, total commission for the given year salesperson is   $45,050

Total salary for year = Base salary + total commission for the given year

Total salary for year = $37,000  +  $45,050 = $ 82,050 (Answer)

Which shows the numbers One-tenth, 0.9, Three-tenths in order from least to greatest?

One-tenth, Three-tenths, 0.9
0.9, Three-tenths, One-tenth
0.9, One-tenth, Three-tenths
Three-tenths, 0.9, One-tenth

Answers

A
If you put them all into decimal form you get .1, .3, .9

Answer:

Its A sorry im late

A line which intersects one of two parallel lines intersects the other also.
A. Always
B. Sometimes
C. Never

(I put always, but that turned out to be incorrect)

Answers

Answer:

Sometimes

Step-by-step explanation:

When a line intersects one of two parallel lines, it will sometimes intersect the other also.

Ex. If one of the parallel lines was at y=2, the intersecting line could be y=2.

The correct answer is- B. sometimes

A line which intersects one line need not necessarily intersect other line also , also the two parallel lines never intersect.

What is transversal?

A transversal is a line that passes through two lines in the same plane at two distinct points. Its a line that crosses other lines.

here, in the question its not mentioned about transversal so its not necessary that line which intersects one parallel line also intersect other. Hence, its sometimes either or situation that depends upon the probability of the situation that a line will intersect or not.

hence, the correct answer is- B. Sometimes.

learn more about "transversal" here

https://brainly.com/question/24756209

#SPJ2

Write 74 in expanded form. Then check all that apply. The base is 7. The exponent is 4. The exponent tells you to multiply 7 together 4 times. The exponent tells you to multiply 4 together 7 times. The expanded form is 4 × 4 × 4 × 4 × 4 × 4 × 4. The expanded form is 7 × 7 × 7 × 7.

Answers

Answer:

7*7*7*7

Step-by-step explanation:

=> [tex]7^4[/tex]

This means that 7 is multiplied 4 times

So, it becomes:

=> (7×7×7×7)

Answer:

The base is 7

the exponent is 4

the exponent tells you to multiply 7 together 4 times

the expanded form is 7x7x7x7

Step-by-step explanation:

Please answer this ASAP ❤️

Answers

Answer:

4

Step-by-step explanation:

just change the x into -6

-(-6)-2 = 6 - 2 = 4

Answer:

f(x)=-x-2

f(-6)=-(-6)-2

f(-6)=4

Step-by-step explanation:

Bruce wants to make 50 ml of an alcohol solution with a 12% concentration. He has a 10% alcohol solution and a
15% alcohol solution.
Which equation can Bruce use to determine how much of the 10% alcohol solution he should use?
0.10.x + 0.15(50 - x) = 50+ 0.12

Answers

Answer:

0.1x+0.15(50-x)= 50*0.12

Step-by-step explanation:

50 ml of 12% solution has 50*0.12 ml of alcohol

x ml of 10% solution has x*0.1 ml of alcohol

(50-x) ml of 15% solution has (50-x)*0.15 ml of alcohol

The equation to solve is:

0.1x+0.15(50-x)= 50*0.12

Question 18 of 112
Rocky paid $18378.00 cash and traded-in his old car for $5442.00
What was the price of his new car? (Use the keypad to enter your answer.)

Answers

Answer:

23820$

Step-by-step explanation:

Other Questions
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Some foods had the amounts of vitamin D listed in micrograms, others in IU. Most supplements have the amounts of vitamin.Below is Andy's vitamin D intake from the food he consumed yesterday Low-fat Yoplait yogurt-2 g Cheerios cereal-1 g Coffee with milk-07g Turkey sandwich on whole-wheat bread with large garden salad-0.4 g Grilled pork chop. 8 oz. with mashed potato and a side of gnled mixed vegetables-1.6 gA. How many IU of vitamin D did Andy consume yesterday? B. Has Andy met his vitamin D RDA? Does he need a supplement? 1. Yes, he met his RDA and does not need a supplement.2. No, his vitamin D intake was below RDA, and he needs a supplement.C. What percentage of the vitamin D RDA did Andy eat from food? Vernon is a cash basis taxpayer with a calendar tax year. On October 1, 2019, Vernon entered into a lease to rent a building for use in his business at $3,000 a month. On that day Vernon paid 18 months' rent on the building, a total of $54,000 ($3,000 18 months). 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