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.

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Related Questions

Given f(x) = 21 - 1, complete the missing values in the table

Answers

Answer:

first one is f(x)=-5

second one is f(x)=7

third one is x=-3

4th one is x=0

5th one is f(x)=1

6th one is x=-4

Step-by-step explanation:

first one. plug in x as -2:

f(x)=2*-2-1=-4-1=-5

second one is the same way:

f(x)=4*2-1=8-1=7

third one is a different one:

2x-1=-7

2x=-6

x=-3

4th one is the same way:

2x-1=-1

2x=0

x=0

5th way is the same thing as previous:

f(x)=2*1-1=2-1=1

Finally, the 6th one is the same thing as the 4th one:

2x-1=-9

2x=-8

x=-4

Done!

Find the value of sin D rounded to the nearest hundredth, if necessary.

Answers

Answer:

0.22

Step-by-step explanation:

So in this problem, we have to find the hypotenuse first, since sine is opposite over hypotenuse.

We can do this using the pythagorean theorem (you can search it if you don't know). Or, we can just remember this as one of our pythagorean triplets (9,40,41). The last side will be 41.

We have to find the value of sin(D)

opposite/hypotenuse = 9/41 = 0.2195 which is about 0.22

Find the quotient: 0.12)78.6.

Answers

0.12 divided by 78.6 = 0.00152671755

Problem Guitars Galore

Johnny Inneger saved $100 to buy a guitar. Then he bought one for $80. Johnny lost patience learning to play it and decided to sell it to his friend Michael Michael had also saved $100 Michael really wanted the guitar, so he paid Johnny $90 for it. After johnny saw his favorite guitar player in a concert, he wanted to buy back the guitar. He bought it back from Michael for $95. Now Michael has offered Johnny 585 for the guitar. Johnny is deciding whether he will accept the offer. if he does will he have lost any money on the guitar? If so, how much?

Answers

No he hasn’t lost money he still has $15 left.

if you take the initial 100-80=20

then 20+90 is 110

take 110-95 you get 15.

if he accepts michael’s offer he will be gaining 600.

Mark purchased a 20 foot long sub for a party he cuts the sandwich into 5/12 foot sections into how many pieces does he cut the sandwich

Answers

Answer:

48 pieces

Step-by-step explanation:

20÷5/12=20*12/5=240/5=48

What is the vertical shift for the absolute value function below. Explain how you know using complete sentences. Include the direction and number of units of the shift. f(x)=9|x+1|+2

Answers

The vertical shift of the function [tex]f(x) = 9|x + 1| + 2[/tex] is 2 units up

The absolute function is given as:

[tex]f(x) = 9|x + 1| + 2[/tex]

An absolute function is represented as:

[tex]f(x) = a|x - h| + k[/tex]

Where k represents the vertical shift.

By comparison, the value of k is:

[tex]k = 2[/tex]

This means that the vertical shift is 2 units

Hence, the vertical shift of the function [tex]f(x) = 9|x + 1| + 2[/tex] is 2 units up

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please help ill mark brainliest​

Answers

Answer:

I think its A ratio reduced, since a scale factor is the ratio of the length of a side of one figure to the length of the corresponding side of the other figure.

Answer:

It isn't either of the first two. My best guess would be the units of a ratio, (sorry if it's actually a ratio reduced). It's worded very weirdly

A city's population is increasing at a rate of 2% per year.

If this rate of growth remains the same and the population is 2 million in the year 2014, approximately how many people will there be after 20 years?

a.)
2.02 million

b.)
2.88 million

c.)
2.14 million

d.)
2.97 million

Answers

Based on the information the number of people that will there after 20 years is: d.)  2.97 million.

Using this formula

P(t) = Population ×(1+ rate)^t

Where:

Population=2 million

rate=2%

time=20 years

Let plug in the formula

P(t) = 2×(1+.02)^20

P(t) = 2×(1.02)^20

P(t) = 2×1.485947

P(t) = 2.97 million

Inconclusion the number of people that will there after 20 years is: d.)  2.97 million.

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X- y = -7 slope intercept form

Answers

Answer:

[tex]y=x+7[/tex]

Step-by-step explanation:

Let's simply rearrange bringing y to the RHS, -7 to the LHS and reading right to left:

[tex]x+7=y \rightarrow y=x+7[/tex]

can you help me with this graph question ​

Answers

4,-5
explaination: sorry if not correct!

Answer:

D

Step-by-step explanation:

the Max Point is (2,6) so y=b

sorry if u dont get it

I need help with this

Answers

Answer:    y = (-5/4)x - 8

========================================================

Explanation:

Recall that y = mx+b is the slope intercept form of any linear equation

m = slopeb = y intercept

The given equation has m = 4/5 as the slope. Flip the fraction to get 5/4 and then flip the sign to get -5/4

The original slope is 4/5 and the perpendicular slope is -5/4. Note how the slopes multiply to -1.

The slope for the answer is -5/4 and the y intercept for the answer is -8

Therefore, the perpendicular line is y = (-5/4)x - 8

i’m 70% sure it’s y=-5/4x -8

help with this question, please!

Answers

Answer:

Y Intercept: 0, 2.5

X Intercept: 3.5, 0

Explanation:

An Intercept is where a line crosses an axis. A Y Intercept is for the Y axis and the X intercept is for the X axis.

Also when writing coordinates, the x coordinate comes before the y one.

Hope this helps :)

It takes 10 hours to type 4 reports how many hours does it take to type 15 reports

Answers

Answer:37.5 hrs

Step-by-step explanation:

15/4 = 3.75

3.75*10=37.5

The answer is 37.5 hours

Can the sum of two palindromic numbers be another palindromic number?​

Answers

Answer:

Every positive integer can be written as the sum of three palindromes, numbers that remain the same when their digits are reverse. For example, 389 = 11 + 55 + 323. This holds not just for base 10 but for any base b ≥ 5.

If Y = 13 inches, Z = 19 inches, H = 7 inches, and W = 3 inches, what is the area of the object?
A.
304 square inches
B.
123.5 square inches
C.
147 square inches
D.
190 square inches

Answers

Answer:

Step-by-step explanation:

Ask Siri

How do you use observed data to predict unobserved

Answers

You can determine that the test scores will drop with more hours of tv watched. Though as you can also notice there seem to be more outliers later in the data so you can determine that what is I observed will have more outliers than what is observed.

Determine the number of solutions you will have for the system 4y + x = 16 and y = 4 – x.

Answers

Equaling both equations, it is found that the correct option that states the number of solutions you will have for the system is:

D: one solution

The equations are:

[tex]4y + x = 16 \rightarrow x = 16 - 4y[/tex]

[tex]y = 4 - x \rightarrow x = 4 - y[/tex]

Equaling both equations for x, we have that:

[tex]16 - 4y = 4 - y[/tex]

[tex]3y = 12[/tex]

[tex]y = \frac{12}{3}[/tex]

[tex]y = 4[/tex]

[tex]x = 4 - y = 4 - y = 0[/tex]

Hence, the system has one solution, which is (0,4), and option d is correct.

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Answer this!

18 divides x

Answers

this makes no sense so maybe  try something better

I WILL GIVE BRAINLEST AND 60 POINTS I KNOW ITS NOT ALOT
Melanie was training for a race. The line plot below shows the number of miles Melanie ran last week.




2. How many times did Melanie run ½ a mile?

Answers

Answer:

Melanie and 2 times ½ a mile

Hopes This helps

Find the results of the given vector subtractions for u = <-8, 4> and v = <2, 7>.

Answers

Answer:

[tex]\huge\boxed{\overrightarrow{u}-\overrightarrow{v}=\left<-10;\ -3\right>}[/tex]

Step-by-step explanation:

[tex]\overrightarrow{u}=\left<-8;\ 4\right>;\ \overrightarrow{v}=\left<2;\ 7\right>\\\\\overrightarrow{u}-\overrightarrow{v}=\left<-8;\ 4\right>-\left<2;\ 7\right>=\left<-8-2;\ 4-7\right>=\left<-10;\ -3\right>[/tex]

Answer:

Step-by-step explanation:

-u-v = 6,-11

u-v = -10,-3

v-u = 10,3

From a hot-air balloon, Grayson measures a 29^{\circ} ∘ angle of depression to a landmark that’s 1004 feet away, measuring horizontally. What’s the balloon’s vertical distance above the ground? Round your answer to the nearest hundredth of a foot if necessary.

Answers

The balloon’s vertical distance above the ground is 556 feet

The set up will form a right triangle.

Given the following parameters

Angle of depression = 29 degreesHorizontal distance = 1004 feet

To get the height above the ground, we will use the SOH CAH TOA identity as shown;

Opposite = h

Adjacent = 1004 feet

Tan theta = h/1004

Tan 29 = h/1004

h = 1004 tan 29

h = 1004(0.5543)

h = 556.52 feet

Hence the balloon’s vertical distance above the ground is 556 feet

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​what is y=2x+3 y=−3x+3 ​

Answers

Step-by-step explanation:

equate the two equations

138.4divided by16 show works it possible to show your work

Answers

Ok done. Thank to me :>

Help help help help help m at h math math

Answers

Answer:X= 6X-14

Step-by-step explanation:

3x+5y−7x+6=12
Calculate.Solve for x.​

Answers

The value of x from the equation is x = (5y - 6)/4

Given the equation 3x+5y−7x+6=12

collect the like terms;

3x-7x + 5y + 6=12

-4x + 5y = 12 - 6

-4x + 5y = 6

Subtract 6 from both sides

-4x + 5y - 5y = 6 - 5y

-4x = 6 - 5y

4x = 5y - 6

x = (5y - 6)/4

Hnce the value of x from the equation is x = (5y - 6)/4

learn more on subject of formula here: https://brainly.com/question/657646

will give brainly if you help me thx

Answers

Answer:

A

Step-by-step explanation:

The answer is A because is it asking for a 3 in the hundredths place of the difference. Difference means subtraction. And you can find the hundredth spot in the second place over from the decimal

(ex. 1.23, hundredth place is a 3)

So then you do the math and find the differences.

14.56-9.33=5.23, which has a 3 in the hundredth place.

three movie tickets cost 36$ at this same rate how much do 12 tickets cost

Answers

Answer:

$144

Step-by-step explanation:

Each ticket is $12.

Two angles are supplementary. The smaller angle is 35 degrees less than the larger angle. What is the measurement of the larger angle?

Answers

Answer:

Step-by-step explanation:

Lila earns 2,725,98 per month how much money does she have left after paying all these bills
Rent 1,250,00 groceries 325,78 electricity 55,27

Answers

Answer:

$1,094.93

Step-by-step explanation:

The income is how much money you make. You lose the money you spend. To find how much money you have left, just subtract the income with everything you spent.

This means the final answer is: 2725.98 - (1250.00 + 325.78 + 55.27) = $1,094.93

n is m% of what?
It DEFINITELY a variable

Answers

Yes it is a variable because it’s a letter in a equation
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