A store clerk sold 25 Mathematics books and 10 English books for a total of $855. If she had sold 10 Mathematics books and 40 English books, she would have got $135 more. form a pair of linear equations and calculate the price of each book.

Answers

Answer 1

Answer:

855+135=990

90x11=990

10x11=110

25x11=275

110+275=385                                                                                                             990+110=1100 

385+1100=1485

1485/11=135

the math books was $11 each so all to gether it is $275.      

the english books was $65 each so all to gether it is 715.

275+715=990

Step-by-step explanation:

Answer 2

The required price of a Mathematics book is $27 and the price of an English book is $18.

What is the equation model?

The equation model is defined as the model of the given situation in the form of an equation using variables and constants.

Let's assume that the price of a Mathematics book is x dollars and the price of an English book is y dollars. Then we can form two equations based on the given information:

Equation 1: 25x + 10y = 855

This equation represents the total amount earned by selling 25 Mathematics books and 10 English books for $855.

Equation 2: 10x + 40y = 990

This equation represents the total amount that would have been earned by selling 10 Mathematics books and 40 English books for $135 more than the original total.

To solve for x and y, we can use elimination or substitution. Let's use elimination:

Multiplying Equation 1 by 4, we get:

100x + 40y = 3420

Now, we can subtract Equation 2 from this equation to eliminate y:

90x = 2430

x = 27

Substituting x = 27 into Equation 1, we can solve for y:

25(27) + 10y = 855

675 + 10y = 855

10y = 180

y = 18

Therefore, the price of a Mathematics book is $27 and the price of an English book is $18.

Learn more about models here:
https://brainly.com/question/22591166
#SPJ2


Related Questions

Help help help help help help help math math

Answers

Answer:

Step-by-step explanation:

5x + 10 + 10x + 5 = 180

15x + 15 = 180

15x = 165

x = 11

40% of athletes have tattoos and get into fights with other athletes. 50% of athletes get into fights with other athletes. What is the probability that an athlete that is getting into a fight has a tattoo

Answers

The probability that an athlete that is getting into a fight has a tattoo is 0.80

Let the events be represented as:

Event A : get into a fightEvent B: has a tattoo

So, the probabilities are given as:

[tex]P(A\ n\ B) = 40\%[/tex]

[tex]P(A) = 50\%[/tex]

The probability that an athlete that is getting into a fight has a tattoo is represented as: P(B | A)

So, we have:

[tex]P(B | A) = \frac{P(A\ n\ B)}{P(A)}[/tex]

Substitute known values

[tex]P(B | A) = \frac{40\%}{50\%}[/tex]

Cancel out the percentages

[tex]P(B | A) = \frac{40}{50}[/tex]

Divide 40 by 50

[tex]P(B | A) = 0.80[/tex]

Hence, the probability that an athlete that is getting into a fight has a tattoo is 0.80

Read more about probabilities at:

https://brainly.com/question/251701

7. (6 points) For the following geometric sequence, 3 ,- 1, 1/3,-1/9, …
Find the formula for the nth term

Answers

Answer:

The formula of the nth term is a₇=48(1/2)⁷⁻¹=48×1/64=3/4

Step-by-step explanation:

please someone help me this is the third time i have had to post this question bc of bots

Answers

Answer: It,ll increase

Step-by-step explanation:

Answer:

Add all of the numbers together then multipy them by 25

Step-by-step explanation:

35X25=875

Find NMC triangle's perimeter if BO:BK=1:3 and ABC triangle's perimeter is 96

Answers

Answer:

  80

Step-by-step explanation:

If we assume the triangles are similar and are isosceles, and that BK is an altitude, then we can work the problem.

Triangle OKN will be similar to triangle BKA, so ...

  AN : AK = BO : BK = 1 : 3

Then ...

  AN : AK : KC = 1 : 3 : 3

In terms of ratio units, ...

  AN = 1

  AC = 3+3 = 6

  NC = 6-1 = 5

This means NC : AC = 5 : 6. The triangle perimeters will have the same ratio.

  perimeter(NMC) = 5/6·perimeter(ABC) = 5/6·96

  perimeter(NMC) = 80

Y=1/3x-4 + Y=-7/3x+4

Answers

Answer:

-2

Step-by-step explanation:

if you arrange them over each other you get [tex]\frac{1}{3} -4 \\+\frac{-7}{3} +4[/tex]

the -4 and +4 cancel out to 0

and 1-7= -6

-6/3 is -2

Please help me it’s due in 12 minutes also pls explain why

Answers

Root 25 is the rational number as it equals 5

(9/5)^3

I have no idea

Answers

Answer:

5.832

Step-by-step explanation:

A restaurant has two sizes of milkshakes, small and regular. The ratio of small milkshakes purchased to regular milkshakes purchased is 14 to 6. What percent of milkshakes purchased are small?

Answers

Answer:

70%

Step-by-step explanation:

the ratio is 14 to 6 so if you have 14 small milkshakes you would also have 6 regular milkshakes

to find a percentage we can buff up the ratio to add up to 100

14 + 6 = 20

100 / 20 = 5

that means we must multiply each side by 5

14 * 5 = 70

6 * 5 = 30

the ratio is now 70 to 30

you would have 70% of milkshakes that are small

Need help solving homework

Answers

3 + 2 = 1 + 4
2 + 15 = 10 + 7
8 + 9 = 19 - 2
12 - 7 = 14 - 9


Hope this helped!
8+9 and 10+7 are both 17
12-7 and 3+2 are both 5
19-2 and 2+15 are both 17
14-9 and 1+4 are both 5

8+9=10+7=19-2=2+15

12-7=3+2=14-9=1+4

Three Numbers are in the ratio of 2:3:7. What is the largest number if the sum is 288

Answers

Answer:

2x + 3x + 7x = 288

12x = 288

x = 24

The largest number is therefore 7 * 24 = 168

Step-by-step explanation:

A triangle can have a maximum of how many non-acute angles?

Answers

Answer:

we have only two or three acute angles in a triangle. so ima say at least 1

Step-by-step explanation:

This is an urgent matter! Please help!

Answers

Answer:

the answer is c a increasing line

find the value of n n+150+7+100=200+50+27

Answers

Answer:

Step-by-step explanation:

n+150+7+100=200+50+27

n+257 = 277

n = 277 - 257

n = 20

Answer:

20

Step-by-step explanation:

hope it will help goodbye.if there is any other question feel free to ask

Santa visits 57 houses in 40 seconds. At that rate how many houses can he visit in 160 seconds.

Answers

Uh numbers the answer is numbers

Answer:

x = 228

Step-by-step explanation:

Set up a proportion

57 houses / 40 seconds = x houses / 160 seconds

Cross multiply

9120 = 40x

Divide both sides by 40 to isolate x

x = 228


I hope this helped and please mark me as brainliest!

If 9 out of 20 candies are orange, how many orange candies will there be per 100 candies total?

Answers

Answer:

45

Step-by-step explanation:

20 / 9 = 2.222222222223

100 / 45 = 2.222222222223

9 is 45% of 20 and 45 is 45% of 100.

plz help verbal expression ​

Answers

Answer:

3(9+r) = 27 + 3r

Sum = addition

Distributive property

Help hep help help math math math

Answers

Answer:

<4 corresponds with <8

Step-by-step explanation:

They correspond because they are in the same position relative to the lines.

As you can see, it is in the exterior area and it matches up exactly with the other angle. I attached an example picture of a corresponding angle

ABCD is a parallelogram. Determine the length of BE.

Answers

Answer:

BE = 102 units

Step-by-step explanation:

The diagonals of a parallelogram bisect each other , so

DE = EB , that is

- 8x + 14 = 3 - 9x (add 9x to both sides )

x + 14 = 3 ( subtract 14 from both sides )

x = - 11

Then

BE = 3 - 9x = 3 - 9(- 11) = 3 + 99 = 102 units

Answer:

A

Step-by-step explanation:I've took the test

the length of a rectangular house is two and a half times its width. Solve the problem using x to denote the shorter side of the rectangle.
a) construct the expression for the area or the rectangle in terms of x

b) calculate the area if x=32 feet

Answers

answer

a.) y=2.5x

area=2.5x^2

b.)2560

Step-by-step explanation:

a.  The construct the expression for the area of the rectangle in terms of x is y=2.5x

b. The area should be 2,560.

Given that,

the length of a rectangular house is two and a half times its width.

Based on the above information, the calculation is as follows:

a) The expression should be y = 2.5x

b) The area should be

[tex]=2.5x^2\\\\= 2.5(32)^2[/tex]  

= 2560

Learn more: https://brainly.com/question/1301963?referrer=searchResults

Convert 39/4 into a mixed number.

Answers

Answer: The answer is 9 3/4.

Step-by-step explanation: When converting an improper fraction to a mixed number, the first step to take is figure out how many times the denominator goes into the numerator. The number 4 goes into 39

9 times(4 x 9 = 36). The remainder 3 becomes the numerator of the denominator 4, therefore 39/4 converted to a mixed number is 9 3/4.

Answer:

9 3/4

Step-by-step explanation:

Freddy’s savings account went from $520 to $321 after he purchased a new bike. What was the percent decrease? *

Answers

If my calculations are correct, the percentage decrease faced here is roughly 38.2%. Based on the calculations, the bicycle costs 199$ and when the cost is subtracted from 520, you would create the percentage of 38.2%.

HELP ME ASAP!!!
Question 3(Multiple Choice Worth 5 points)
(04.04 MC)

If a sprinkler waters 1 over 15 of a lawn in 1 over 3 hour, how much time will it take to water the entire lawn?

5 hours
15 hours
18 hours
45 hours

Answers

Answer:

45 hour GIVE BRAINLY PLZ

Determine the value of cos 45 X 29


Answers

Answer:

20.50609665

around 20.506

Problema: Juan quiere repartir sus calidez entre sus hermanos pequeños. Dice que dará la
mitad en Anna y tres sextas partes en Ignacio. Anna está enfadada porque dice que
Ignacio tendrá más, ¿es cierto?

Answers

Answer:

no .,..false

Step-by-step explanation:

JoAnn bought 18 apples for $12.42. What was the price for 1 apple?

Answers

0.69 cents just divide them :)

Answer: $1.45

Step-by-step explanation:

18/12.42 = $1.45

Find the distance between (-10.-15) and (12, 18).

Answers

Answer:

11[tex]\sqrt3[/tex] or 39.66 units.

Step-by-step explanation:

Use the distance formula!

Answer:

The distance between two points with coordinates  (-10,-15) and (12,18) is:

39.66 units  (results are rounded to the nearest 100th)

Step-by-step explanation:

Hoped this helped.

I apologize if this is incorrect.

The square below represents one whole.
What percent is represented by the shaded area?

Answers

40%
——————————————-

5. (5 points) Write the first 5 terms of the sequence if a1 = 9 and an-1 +n

Answers

Answer:

9,4,-1,-6,-11

Step-by-step explanation:

When n = 1: a(1+1) =a(1) +1

                   a(2) = -9 +1

                   a(2) = -8

When n = 2: a(2+1) =a(2) + 2

                   a(3) = -8 + 2

                    a(3) = -6

When n = 3: a(3+1) = -6 + 3

a(4) = -3

2/3+7/15
Help pls
no scam​

Answers

[tex] \boxed{ \huge \bf \: Solution:—}[/tex]

[tex] \sf \longmapsto \dfrac{2}{3} \ + \dfrac{7}{15} [/tex]

[tex]\sf \longmapsto \: \dfrac{10}{15} + \dfrac{7}{15} [/tex]

[tex]\sf \longmapsto \: \dfrac{10 + 7}{15} [/tex]

[tex]\sf \longmapsto \dfrac{17}{15} [/tex]

Decimal—1.13333

[tex]\boxed{\huge\bf{Answer:—}}[/tex]

[tex]\bf \dfrac{17}{15} [/tex]

OR

[tex]\bf{1.13}[/tex]

Answer:

17/15 or 1 2/15

Step-by-step explanation:

2/3 + 7/15 =                       The common denominator is 1510/15 + 7/15 =   17/15 = 1 2/15
Other Questions
PLEASE HURRY!!!Provide reasons for the statements of this proof.Given: Point M is the midpoint of AD Point M is the midpoint of BCProve: AB DCStatement:Point M is the midpoint of AD, Point M is the midpoint pf BCAM MD and BM MC Which of the following is not a function of a vacuole ?a) to absorb waterb) to store ions c) to store waste products D) to make protien The people elect representatives to make laws and conduct government Whats the definition of coefficient Why did Pontiac lead a rebellion against the British following the French and Indian War? In the figure below, m1 = x and m2 = x - 4. Which statement could be used to prove that x = 47?A) m1 = m2B) m2 = 47C) m1 + m2 = 90D) m1 + m2 = 180 prove that: sinsec=tan Where would you add the following sentence, and why? This suggests that an increase in school service programs increases teen interest and participation overall. After the last sentence, as a conclusion After sentence 3, to link evidence and claim In the first sentence, to add a claim After sentence 2, as a transition. which of the following describes a federal student loan? a funds provided by a private business that do not need to be paid back b funds provided by credit unions that must be paid back c funds provided by government that do not need to be paid back d funds provided by the government that must be paid back Which statement about the slope of the line is true?It is 2 throughout the line.It is fraction negative 1 over 2 throughout the line.The slope from point O to point A is one-half times the slope of the line from point A to point B.The slope from point O to point A is two times the slope of the line from point A to point B. The equation below can be used to calculate a change in gravitational potential energy. What units must be used for h? Give the full name, not the abbreviation.e=m x g x h LAST BRAINLIESTTTTTTTTTTT Think of one or two vivid adjectives to modify each of the following nouns.house:sunset:tree:forest:man:cat:sky:bus:HELP PLEASEEE!!!! find the sequence 5n+1 Do Now 13.2:Green light has a frequency of 5.71 x 10' Hz.Calculate the energy of a green light photon.(SHOW ALL WORK for FULL CREDIT!) mrs. knight drops her briefcase. when the briefcase lands on the floor, what is the reaction force to the action force of the briefcase on the floor? 9x + 3 7x + 4Help me out please? WIll MARK BrAiNliEsT if YOu HelP Me!PLZ HELP ME WITH THIS ESSAY!!!i already did the introduction paragraph, just need the 3 body paragraphs and conclusion. the second attachment just has some things that might be needed for the body or conclusion paragraphs. Please Hurry and help me!!! Please don't attach or send links, but actually answer the question. No nonsense PLEASE!! THANKS compare. 2 1/4 and 3 /14 PLEASE HELP!!! TRIGThe three solutions of the equation f(x)=0 are 0, 180, and 360. Therefore, the three solutions of the equation f(x-30)=0 are: