Linear equations can be useful in modeling situations where there is an unknown value, such as in the problem below.

You buy 6 notebooks and a $2 set of pencils. A friend buys 4 notebooks and an $8 set of pencils for the same amount of money. How much does one notebook cost?

The equation 6x + 2 = 4x + 8 can be used to find x, the cost of one notebook. You can solve the equation to find that a notebook costs $3.

What different ways could you begin to solve the equations given below? Which store would you rather visit to buy supplies? Choose only one to discuss.

In Store A, you can buy 3 notebooks and a $2 set of pencils for the same price as 4 notebooks. How much does a notebook cost at Store A? The equation 3x + 2 = 4x can be used to find x, the cost of 1 notebook.

In Store B, you can buy 2 notebooks and an $11 set of pencils for the same price as 4 notebooks and a $3 set of pencils. How much does a notebook cost at Store B? The equation 2x + 11 = 4x + 3 can be used to find x, the cost of 1 notebook.

Answers

Answer 1

A different way that you could use to begin to solve the equations problem given is discussed above. I would you visit store {A} over the cost of the given store.

What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.

Given are mathematical verbal problems based on equation modelling.

From the first problem, the cost of a single notebook is $3.

Now, consider Store {A}. Assume the cost of a single notebook be {x}. Then, according tot he question -

The cost of 4 notebooks is same as the cost of 3 notebooks and a $2 set of pencils. We can write it as -

The cost of 4 notebooks is same as : (3x + 2)

The cost of 4 notebooks is same as : (3x + 2)

The cost of one notebook will be equal to : (3x + 2)/4

So, we can write -

x = (3x + 2)/4

4x = (3x + 2)

4x - 3x = 2

x = 2

At store {A} the cost of notebook is $2.

Therefore, a different way that you could use to begin to solve the equations problem given is discussed above. I would you visit store {A} over the cost of the given store.

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Related Questions

2y−5x=−10? help me please

Answers

Solution is under this…

Solution:

dy 5
— = —
dy 5

(Look at picture) ty btw :)!!!!! <3

Answers

Answer:

Step-by-step explanation:

6

92 people had lunch in the cafeteria. 9 people had soup, a sandwich, and a drink. 33
people had soup, 45 had a sandwich, and 52 had a drink. 5 people had soup and a sandwich. 10 people had a sandwich and a drink. 5 people had soup and a drink. How many people had only a drink?

14 people
21 people
28 people
93 people

Answers

Answer:

28

Step-by-step explanation:

52 in toatal had a drink

10 had a drink and a sandwich

5 had drink and soup

9 had all

so in total out of the 52 drinks, 24 had a drink and something

52 - 24 = 28

who needs special prayer

Answers

Answer: ok

Step-by-step explanation: :D

4 divided by 6 as a fraction draw picture

Answers

4/6 so if simplified it’s 2/3

Figure A is a scale image of figure B.
Figure A maps to figure B with a scale factor of [tex]2/7[/tex]

Answers

The value if side x is 42

How are scale drawings formed?

For a particular scale drawing, it is already specified that all the measurements' some constant scaled version will be taken. For example, let the scale be K feet to s inches.

Then it means

[tex]\rm 1\: ft : \dfrac{s}{k}\: in.[/tex]

All feet measurements will then be multiplied by s/k to get the drawing's corresponding lengths.

Given;

Scale factor= 12

Now, to find the value of x;

We will divide 12 by the scale factor

=12/(2/7)

=(12x7)/2

=42

Therefore, with scale factor 2/7 the side x of figure A will be 42

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An Uber ride costs $13.15 for a 3 mile trip and $18.25 for a 5 mile trip find the rate of the cost per mile

Answers

The cost per mile for both trips are $4.5 and $3.65

How to calculate the cost per mile ?

An uber ride costs $13.15 for a 3 mile trip and $18.25 for a 5 mile trip

The cost per mile for both trips can be calculated as follows

The first step is to calculate the cost of mile for the First trip

13.15= 3

x= 1

cross multiply both sides

3x= 13.15

x= 13.15/3

x= 4.5

The next step is to calculate the cost of mile for the Second trip

18.25= 5

y= 1

cross multiply both sides

5y= 18.25

y= 18.25/5

y= 3.65

Hence the cost per mile for both trips are $4.5 and $3.65

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Please hurry need answer right away.

Usain can run 100 yards (yd.) in
seconds (s.). If there are 1,760 yards in
a mile (mi.), which of the following shows
Usain's speed in miles
per hour
(hr.)?
100 yd.
mi.
9 s.
1,760 yd.
3,600 s.
1 hr.
K
100 yd.
1,760 yd.
1 hr.
9 s.
mi.
3,600 s.
9 s.
1,760 yd.
100 yd.
1 mi.
3,600 s.
1 hr.
9 s. • 100 yd.
M
3,600 s. 1,760 yd.
N
3,600 s. • 1,760 yd.
9 s. • 100 yd.

Answers

Answer: To find Usain's speed in miles per hour, we need to convert the distance from yards to miles and the time from seconds to hours. To convert yards to miles, we divide the number of yards by the number of yards in a mile (1,760). To convert seconds to hours, we divide the number of seconds by the number of seconds in an hour (3,600).

So, to find Usain's speed, we use the formula:

Speed = Distance / Time

In this case, we have:

Speed = (100 yd) / (9 s)

We need to convert yards to miles and seconds to hours, so we can use the following conversion factors:

1 yd = 1/1,760 mi

1 s = 1/3,600 hr

By applying this conversion factor we get the speed in miles/hour.

Speed = (100 yd) / (9 s) * (1/1,760 mi/yd) * (1/3,600 hr/s)

So the final answer will be:

Speed = (100/9) * (1/1,760) * (1/3,600) miles/hour

Hence, option M: 3,600 s is the final answer.

Step-by-step explanation:

A carpenter installing cabinets uses thin pieces of material called shims to fill gaps. The carpenter uses four shims to fill gap that is 1.5 centimeters wide. The width of three of the shims are 0.75 centimeter, 0.125 centimeter, and 0.1 centimeter. What is the width of the fourth shim

Answers

The width of the fourth shim used by a carpenter is, 0.525 centimeter.

What is Addition?

The process of combining two or more numbers is called the Addition. The 4 main properties of addition are commutative, associative, distributive, and additive identity.

Given that;

The carpenter uses four shims to fill gap that is 1.5 centimeters wide.

And, The width of three of the shims are 0.75 centimeter, 0.125 centimeter, and 0.1 centimeter.

Now, Let the width of the fourth shim used by a carpenter = x

So, We can formulate;

⇒ x + 0.75 + 0.125 + 0.1 = 1.5

⇒ x + 0.975 = 1.5

⇒ x = 1.5 - 0.975

⇒ x = 0.525 centimeter

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Three people swim a total of 2125 laps john swam 3 times more than rita and mathew swam 25 more than jhon how many laps did they each swim

Answers

Answer:

let x to be john

y to be Rita and z to be Mathews

Step-by-step explanation:

x+y+z=2125....,..........i

x=3y............................ii

y+25=z......................iii

from Qnii substitute in qn i

3y+y+z=2125

4y+z=2125

-y+z=25 by eliminate z

5y=2100 by 5 both sides

y=420

z=445

x=1260

Rita swam about 2125 laps
John swam about 2128 laps
Matthew swam about 2150 laps

Amanda joins a health club with a one time membership fee of $40 and $25 for each month. So far, Amanda has paid a total of $240. Find the number of months Amanda has been a member of the club.

Answers

Answer:

She has been there for 8 months

Step-by-step explanation:

Add 40 and keep adding $25

until you get to $240 and then count how many times you added 25 and you should get the answer

I need help on These I’ll give you brainliest

Answers

Answer:

its b

Step-by-step explanation: if your doing lcm it would be 40 please comment on this if its not lcm or if I'm just wrong

I hope this help

Am actually in the same math



The LCM of 12 and 15 is 60. To find the least common multiple (LCM) of 12 and 15, we need to find the multiples of 12 and 15 (multiples of 12 = 12, 24, 36, 48 . . . . 60; multiples of 15 = 15, 30, 45, 60) and choose the smallest multiple that is exactly divisible by 12 and 15, i.e., 60.

1. ANSWER .60


2. Maybe C or D

Because Juan is fast but Joe is slow so am not really sure

ANSWER ASAP PLEASEEEEEE

Answers

Option three I think but not 100% sure

Graph the solution of |2x-1|=3 on the number line.

Answers

The graph of the solutions of the absolute value equation can be seen on the image at the end.

How to graph the solution of the equation?

Here we have the absolute value equation:

|2x - 1| = 3

We can "break" that absolute value equation into two simpler ones, we will get:

(2x - 1) = 3

(2x - 1) = -3

Now we can solve these two, we will get for the first one.

2x - 1 = 3

2x = 3 + 1

x = 4/2

x = 2

The other gives.

2x - 1 = -3

2x = -3 + 1

2x = -2

x = -2/2 = -1

The solutions are 2 and -1, then the graph is the one below.

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Meg has 10 feet of ribbon that she wants to divide into of foot pieces. How many foot pieces are there in 10 feet?

Answers

Answer:

20

Step-by-step explanation:

A person has 2 feet (1 is a foot)

Meg has 10 feet of ribbon

therefore 10 × 2 = 20

in 10 feet there are 20 "foot"

The earth is approximately 93,000,000 miles from the sun how long does it take from the Sun to reach the earth use the speed of light to be 1.86×10^5 Miles per second

Answers

The light from the sun takes 8 minutes 20 seconds to reach the earth.

What is the speed of an object?

Speed is the rate at which an object's position changes, measured in meters per second. For example, if an object starts at the origin, and then moves three meters in three seconds, its speed is one meter per second. The equation for speed is simple: distance divided by time

Given here: The distance is 93,000,000 miles and the speed of light as 1.86×10⁵ miles per hour.

Now we know speed = Distance/ time

Thus we have Time taken = 93000000/1.86×10⁵

                                           = 8 minutes 20 second (approx)

Hence, The light from the sun takes 8 minutes 20 seconds to reach the earth.

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A Sumer job pays $5 per hour

b. After working 24 hours, do you have enough money to buy an MP3
player that costs $100? Explain your reasoning.

Answers

Answer:

Yes, since the total pay of $120 is more than the $100 cost of the MP3 player.

Step-by-step explanation:

hourly pay: $5/hour

number of hours: 24 hours

total pay = hourly pay × number of hours

total pay = $5/hour × 24 hours

total pay = $120

MP3 player costs $100.

Total pay is $120.

Answer: Yes, since the total pay of $120 is more than the $100 cost of the MP3 player.

A
Bob discovers gold in the hills, and suddenly the area is full of people mining for gold. What impact might this have on the land of the
region?
B
7th Grade Geography (CoS) / Physical Sy
[G.11] Natural Resources 3-Strategic Thinki:
The farms will increase production immediately in order to feed all the people.
Sh
The land will be significantly changed as people dig mines, clear land, and use up natural resources.
C
Air pollution will increase as equipment is used to make the gold mines more efficient.
D The water supply will decrease as more people use it to bathe.
4 of 25
11:37
E
E
C
F
Next

Answers

Answer: Gold mining can contaminate drinking water and destroy pristine environments, endangering the health of people and ecosystems.

Thus the answer is d

Step-by-step explanation:

f(x) = 4 - 3x

g(x) = 2x^2 - 3x +1

Answers

Answer:

[tex]x = \frac{4}{f - 3} [/tex]

Step-by-step explanation:

add 3x to both sides

[tex]fx + 3x = - 3x + 4 + 3x \\ fx + 3x = 4[/tex]

factor out variable x

[tex]x(f + 3) = 4[/tex]

divide both sides by f+3

[tex]x = \frac{4}{f - 3} [/tex]

is f(x)=3/7+7x^2 polynomial

Answers

You must first formulate a polynomial equation in standard form before you can solve it. Factor it, then set the values of each variable factor to zero after it reaches zero.

How do you calculate a polynomial?

The original equations' answers are the answers to the derived equations. Factoring cannot be used to resolve all polynomial equations.

The sum of terms with the pattern kxn, where k is any number and n is a positive integer, is what we call a polynomial.

It is impossible to classify an expression as a polynomial if it contains a variable with exponents that are negative or fractional, divides by a variable, or is included inside a radical.

Solving Equations : f(x)=3/7+7x^2

Domain of 3/7 + 7x²    

Solution : -∝ < x <∝

Interval Notation :  ( - ∝,∝)

Rage of 3 / 7+ 7x²

Solution :  0 < f(x) ≤ 3/7

Interval Notation :  ( 0 , 3/7)

Axis interception Points of (3 / 7+7x²;

Y Intercepts : (0,3/7)

Asymptotes of 3 / 7 + 7x² ;

Horizontal : y = 0

Extremes Points of 3 / 7 - 7x²;

Maximum(0 , 3 / 7).

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Stacy read a book with 106 pages, her friend read a book with 164 pages, look at the 6 digit in both of the page numbers, what is similar and different about the 6's

Answers

The difference is one 6 is at ones place and another 6 is at tens place.

What is Place Value?

In mathematics, place value refers to the relative importance of each digit in a number. These locations begin at the unit's location (ones place). The place values of a number's digits are expressed in the following order: ones/units, tens, hundreds, thousands, ten thousands, and so on.

Given:

Stacy read a book with 106 pages.

and,  her friend read a book with 164 pages.

In case of stacy the place value of 6 is at ones place.

and, in Stacy's friend case the place value of 6 is at tens place.

So, the difference is one 6 is at ones place and another 6 is at tens place.

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f(x) has domain
✔ {–4, –2, 0, 2, 4}
, and range
✔ {–2, –1, 0, 1, 2}
.

The rule that maps each domain value to its range value is f(x) =
x.

Answers

Answer:

f(x) = 0.5x

Step-by-step explanation:

note that each of the values in the range is half its corresponding value in the domain

- 4 ÷ 2 = - 2

- 2 ÷ 2 = - 1

0 ÷ 2 = 0

2 ÷ 2 = 1

4 ÷ 2 = 2

then

f(x) = [tex]\frac{1}{2}[/tex] x = 0.5x

Write an equation of the direct variation that includes the point (9, -12).

A. y = -1/2 x
B. y=-1½ x
C. y=1/3x
D. y=-3x

Answers

Answer:

none of these

Step-by-step explanation:

An equation in the form of direct variation is in the form

y = kx

Checking each equation and substituting the point

-12 = -1/2 (9)

-12 = -4.5  not true

-12 = -1 1/2 (9) = -3/2 *9 = -27/2 - 13.5

-12 = -13/5  not true

-12 = 1/3 (9)

-12 = 3  not true

-12 = -3(9)

-12 = -27 not true

Sue and Pam are sisters, but they live far from each other. They both
want a garden at their respective homes, and they decide they want to
build identical flower gardens that are in the shape of a triangle.
They spend a lot of time emailing and talking on the phone, trying to
figure out how to make these triangular gardens exactly the same.
• Sue suggests that they each make their gardens with brick walls
outlining the gardens, and they should make sure all three angles
of the two triangles are the same: 30, 60, and 90. Sue asserts
that this will make their gardens congruent.
Pam likes the idea of the wall, but instead she thinks that they
should make their triangles equal by making one wall 7 feet long
with a 30 angle attached to it. Sue says the other two walls
will match up to make a triangle, and that their triangles will
be equal.
The two women can't agree on the best method. They hire you to help
them with the design.
Determine if either of their methods will create congruent
triangular gardens. Use your congruent triangle theorems, like
SSS, ASA, SAS, to decide.
If you don't think that a method will work, you must explain why
the method will not work.
How do you think Sue and Pam should create congruent triangular
gardens?

Answers

On solving the provided question we can say that so SAS, the are congruent triangles

What is triangle?

A triangle is a polygon since it has three sides and three vertices. It is one of the basic geometric shapes. The name given to a triangle containing the vertices A, B, and C is Triangle ABC. A unique plane and triangle in Euclidean geometry are discovered when the three points are not collinear. Three sides and three corners define a triangle as a polygon. The triangle's corners are defined as the locations where the three sides converge. 180 degrees is the result of multiplying three triangle angles.

here,

we have to triangles

with angles as 30,60,90 and 60,60,90 respectively

and 2 sides of 7 cm each.

so SAS, the are congruent triangles

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x/a+b=c. solve for x

Answers

x/a+b=c so take b to the other side first of all so x/a=c-b then take a to the other side so it’ll be x=c-b divided over a

please help me with math i’ll give you brainlist

Answers

Answer: y = -1.6x + 4

Step-by-step explanation:

I used the y = mx + b method, m is your slope and b is your intercept.

Lmk if this answer was useful towards you!

i need help with this math question !

Answers

Therefore , the solution of the given problem of inequality comes out to be  x=-3 or x<-3.

Define inequality.

In mathematics, an inequality is a linking of two equations or numbers when there isn't an equal sign. Unbalance therefore precedes inequity. When two numerical values are not equal, an inequality results in a relationship between them. Egality and inequality are not the same. Where variables are not similar or equal, have used the most common symbol (). There are various inequalities that can be utilized to contrast values regardless of how small or huge they are. Switching the two sides it until variables represent all that is left can address a variety of basic inequality problems. The combination or division with low values from both sides are only a few examples of the many factors that might cause inequality. You switch sides and the left.

Here,

Given : -3x ≤ 9

=> x ≤ 9/-3

=>x ≤  -3

Thus , x=-3 or x<-3

Therefore , the solution of the given problem of inequality comes out to be  x=-3 or x<-3.

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Write a method that takes a Rectangle as a parameter, sets its length to a random, even integer between 10 and 20 inclusive, and sets its width to a random, odd integer greater than or equal to 7 and less than 14. Use Math.random() to generate random numbers.

This method must be called randomize() and it must take a Rectangle parameter.

You can call your method in the program's main method so you can test whether it works, but you must remove or comment out the main method before checking your code for a score. You will also need to make sure you do not remove the import statement "import testing.Math" as this is required to check your code for a score.

in java

Answers

The method for the rectangle is written in italic using Java as shown below

How to write a method in Java that takes a Rectangle as a parameter?

Below is a method in Java that takes a Rectangle as a parameter, sets its length to a random, even integer between 10 and 20 inclusive, and sets its width to a random, odd integer greater than or equal to 7 and less than 14.

import java.awt.Rectangle;

public void setRandomDimensions(Rectangle rect) {

   int length = (int) (Math.random() * 6) * 2 + 10; //generates a random even integer between 10 and 20

   int width = (int) (Math.random() * 4) * 2 + 7 + 1; // generates a random odd integer between 7 and 13

   rect.setLength(length);

   rect.setWidth(width);

}

Note: The method uses the setLength() and setWidth() methods of the Rectangle class to set the length and width of the rectangle to the generated random numbers.

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Solve for x.

x2.5<10

x

Answers

Answer:

[tex]-2\sqrt{5} < x < 2\sqrt{5}[/tex]

Step-by-step explanation:

what type of transformation is it

Answers

Answer:

Translation

Step-by-step explanation:

You're moving down 5 units, and left 1 unit, so therefore it's a translation 5 units down and 1 unit to the left.

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