If 4 apples and 2 oranges equals $1 and 2 apples and 3 oranges equals $0.70, how much does each apple and each orange cost? (Can you do it step by step)

Answers

Answer 1
Ok so 4 apples and 2 oranges are $1. That means that the equation should be 4x+2y=100 (since there are 100 cents in a $1) so x would be the apples and y would be the oranges. If you solve it out the apples would be .25 each and the oranges would be .50 each

Related Questions

Someone PLS HELP <3
Solve the system of equations using the substitution method.

{y=−3x+7
x=−2y−16



Enter your answers in the boxes.

x =

y =

Answers

y = -3x + 7
x = -2y - 16

Substitute the top expression for y in the bottom equation:

x = -2y - 16
x = -2(-3x + 7) - 16
x = 6x - 14 - 16
x = 6x - 30
-5x = -30
x = 6

Substitute back into one of the original equations:

y = -3x + 7
y = -3(6) + 7
y = -18 + 7
y = -11

Lastly, substitute back into both original equations:

y = -3x + 7  =>  -11 = -3(6) + 7  =>  -11 = -18 + 7  <--True
x = -2y - 16  =>  6 = -2(-11) - 16  =>  6 = 22 - 16  <--True

Answer:
x = 6
y = -11

According to the Transitive Property of Congruence: If CD≅EF and EF≅GH, then _____


A. CD≅EF

B. EF≅EF

C. CD≅GH

D. EF≅GH

If you're reading this the answer is C

Answers

Transitive Property of Congruence. the answer is C.

Answer:

The answer is the option C

CD≅GH

Step-by-step explanation:

we know that

The Transitive Property of Congruence states that

If [tex]a=b[/tex] and [tex]b=c[/tex]

then

[tex]a=c[/tex]

In this problem we have

CD≅EF  and EF≅GH

therefore

CD≅GH -------> by Transitive Property of Congruence

Which of the following sets shows all the numbers from the set {0.5, 1, 2.5, 3, 3.5} that make the inequality 4a + 2 ≥ 12 true?

{2, 2.5, 3}
{2.5, 3, 3.5}
{0.5, 1, 2.5}
{1, 2.5, 3}

Answers

Answer:

B, {2.5, 3, 3.5}

Step-by-step explanation:

Some people said it was D but I put that and got 0 points for that question.

Anyways it's B, Choose me for brainliest pleaseeeee.

The set of numbers satisfying the inequality is {2.5, 3, 3.5}. The correct option is B.

What is inequality?

When two expressions are connected by a sign like "not equal to," "greater than," or "less than," it is said to be inequitable. The inequality shows the greater than and less than relationship between variables and the numbers.

Given that sets show all the numbers from the set {0.5, 1, 2.5, 3, 3.5} that make the inequality 4a + 2 ≥ 12 true.

The set of numbers is {2.5, 3, 3.5}.

4a + 2 ≥ 12

4 x 2.5 + 2 ≥ 12

`12 ≥ 12 True

4a + 2 ≥ 12

4 x3  + 2 ≥ 12

14 ≥ 12 True

4a + 2 ≥ 12

4 x 3.5 + 2 ≥ 12

`16 ≥ 12 True

Therefore, the set will be {2.5, 3, 3.5}.

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What is the median value of the data set shown on the line plot? Enter your answer in the box. A line plot with twenty-two data values. Labels are at zero, three, six, nine, and twelve. Tick marks are every one unit. Values appear as x marks above the line. Plot data values are one x mark above one, one x mark above two, two x marks above three, two x marks above four, three x marks above five, four x marks above six, three x marks above seven, three x marks above eight, two x marks above nine, and one x mark above eleven.

Answers

Answer: the median is 6.

Please see the picture attached.

A line plot shows the number of occurrences (crosses) of each number of a data set.

The median is the central value, the middle number, of a data set ordered from least to greatest. When there are two middle numbers, the median will be the mean between the two.

In order to find the median, look at the line plot: count how many values you have (22), then add 1 (23) and divide by two (11.5). Since we have an even number of values, we will have two middle numbers, which will be in the eleventh and twelfth position.

Count the crosses from the left, the eleventh and twelfth crosses both correspond to the number 6, therefore the median is 6.

You can also write all the numbers in increasing order and divide them into two equal groups:
1, 2, 3, 3, 4, 4, 5, 5, 5, 6, 6 | 6, 6, 7, 7, 7, 8, 8, 8, 9, 9, 11

The median will be the average between the two central numbers, therefore 6 (again).


Answer:

6

Step-by-step explanation:

The population of Adamsville grew from 7,000 to 12,000 in 5 years. Assuming uninhibited exponential growth, what is the expected population in an additional 5 years?

Answers

Final answer:

The expected population of Adamsville in an additional 5 years, assuming uninhibited exponential growth, is approximately 21,803 individuals.

Explanation:

The question is based on exponential growth, a fundamental concept in mathematics. To solve for the population of Adamsville in the next 5 years, we need to know the growth rate. The formula for exponential growth is P = P0 * e^(rt), where:

P is the future populationP0 is the initial populationr is the exponential growth rate (as a decimal)t is time (in years)

Given that the population grew from 7,000 to 12,000 in 5 years, it follows that 12,000 = 7,000 * e^(5r). Solving for r, we find that the annual growth rate is approximately 0.14496. Therefore, the estimated population in another 5 years would be P = 12,000 * e^(5 * 0.14496), which yields approximately 21,803. This suggests that if Adamsville's population continues to grow at an uninhibited exponential rate, in the next 5 years, it will reach roughly 21,803 individuals.

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A square has an area of 49 square inches. Explain how to find the perimeter of the square.

Answers

It is a square, so you know the sides are equal. You also know that 49 is a squared number. so you do 49 square rooted and you get 7. the perimeter is adding all the side lengths. So you take 7 and multiply it by 4 since a square has 4 sides. and u have your perimeter. 28!

140 fluid ounces increased by 45%

Answers

Hello!

"Increase" means to add. We must find out what 45% of 140 fluid ounces is, and to do that we must first convert the percentage to a decimal and then multiply it by the amount of fluid ounces.

I know, that's probably a lot to take in! :D

45% ÷ 100 = 0.45 as a decimal

0.45 × 140 = 63

Add this to the amount of fluid ounces:

140 + 63 = 203

Final Answer:

203 fluid ounces.
Multiply it by 1.45 and it should work.

The cylinder and the cone have the same volume.what is the height of the cone

Answers

The height of the cone is 4 inches.

The volume of a cylinder is given by the formula V = πr^2h, where r is the radius and h is the height.

Given that the cylinder has a radius of 2 inches and a height of 3 inches, we can substitute these values into the formula to calculate its volume.

[tex]V_{cylinder}= \pi (2^2)(3)[/tex]

[tex]V_{cylinder}= 12\pi \text { cubic inches}[/tex]

Since the cylinder and the cone have the same volume, the volume of the cone is also 12π cubic inches.

The volume of a cone is given by the formula [tex]V = (1/3)\pi r^{2} h[/tex].

We are given that the radius of the cone is 3 inches. We can substitute this value and the volume into the formula to find the height of the cone.

[tex]12\pi = (1/3)\pi (3^2)h[/tex]

[tex]12\pi = (1/3)(9)h\pi[/tex]

[tex]12\pi = 3\pi h[/tex]

h = 4 inches

Help me please........

Answers

The answer is 5,600 because each number is times 2 of the one before it
the answer is 5,600 because you are multiplying 2 each time

31000 people attended a ballgames at a stadium that offers two kinds of seats; The day's receipts were $200000. How many people paid $14.00 for reserved seats, and how many paid$5.00 for general admission?

Answers

x= # of reserved seating
y= # of general admission

QUANTITY EQUATION:
x + y= 31,000

COST EQUATION:
14x + 5y= $200,000

STEP 1:
solve for either variable in quantity equation
x + y= 31,000
subtract both sides by y
x= 31000 -y


STEP 2:
substitute x=31000-y in cost equation
14x + 5y= $200,000

14(31000-y) +5y= 200000
434000 -14y + 5y= 200000

434000 - 9y= 200000
add 9y to both sides

434000= 200000 + 9y
subtract 200000 from both sides
234000= 9y

divide both sides by 9
26,000= y general admission


STEP 3:
substitute y answer in either equation
14x + 5y= $200,000
14x + 5(26000)= 200000
14x + 130000= 200000
14x= 70000
x= 5,000 reserved seats


CHECK:
14x + 5y= $200,000
14(5000) + 5(26000)= 200000
70000 + 130000= 200000
200000= 200000


ANSWER: There were 5,000 reserved seats and 26,000 general admission seats.

Hope this helps! :)
Final answer:

To solve this problem, we can use a system of equations to find the number of people who paid $14 for reserved seats and the number of people who paid $5 for general admission.

Explanation:

To solve this problem, we can use a system of equations. Let's say the number of people who paid $14 for reserved seats is 'x', and the number of people who paid $5 for general admission is 'y'.

We know that the total number of people who attended the ballgame is 31,000, so we can write the equation:

x + y = 31,000

We also know that the total receipts from the day were $200,000, so we can write another equation:

14x + 5y = 200,000

Now we can solve this system of equations to find the values of 'x' and 'y'.

Multiplying the first equation by 5, we can eliminate 'y' by subtracting the second equation from it:

5x + 5y = 155,000

-(14x + 5y = 200,000)

Simplifying, we get:

-9x = -45,000

Dividing both sides of the equation by -9, we find that 'x' = 5,000.

Substituting this value back into the first equation, we can solve for 'y':

5,000 + y = 31,000

Simplifying, we get 'y' = 26,000.

Therefore, 5,000 people paid $14 for reserved seats and 26,000 people paid $5 for general admission.

Which function has the same y-intercept as the function y=2 /3x-3?
A 2/3 x + 3y = -3
B -2/3 x + 3y = 6
C x + 4y = 12
D 6x - 7y = 21
PLEAZ answer im in a hurry

Answers

Answer:

Option D.

Step-by-step explanation:

The given function is

[tex]y=\frac{2}{3}x-3[/tex]

Substitute x=0 in the given function to find the y-intercept.

[tex]y=\frac{2}{3}(0)-3=-3[/tex]

The y-intercept of the given function is -3. We need to find the equation whose y-intercept is -3.

Substitute x=0 in the given each of the equations to find the y-intercepts of those equation.

First equation is

[tex]\frac{2}{3}x+3y=-3[/tex]

[tex]\frac{2}{3}(0)+3y=-3[/tex]

[tex]3y=-3[/tex]

[tex]y=-1[/tex]

y-intercept is -1.

Second equation is

[tex]-\frac{2}{3}x+3y=6[/tex]

[tex]-\frac{2}{3}(0)+3y=6[/tex]

[tex]3y=6[/tex]

[tex]y=2[/tex]

y-intercept is 2.

Third equation is

[tex]x+4y=12[/tex]

[tex](0)+4y=12[/tex]

[tex]4y=12[/tex]

[tex]y=3[/tex]

y-intercept is 3.

Fourth equation is

[tex]6x-7y=21[/tex]

[tex]6(0)-7y=21[/tex]

[tex]-7y=21[/tex]

[tex]y=-3[/tex]

y-intercept is -3.

Therefore, the correct option is D.

The equation of the function that has the same y-intercept as  [tex]y = \frac{2}{3}x - 3[/tex] is  [tex]\mathbf{6x - 7y = 21}[/tex]. Both functions have the y-intercept of -3.

Recall:

Equation of a line in slope-intercept form is represented as: y = mx + b

y-intercept = b

m = slope

Given the function, [tex]y = \frac{2}{3}x - 3[/tex],

the y-intercept is -3

Rewrite each given option in the slope-intercept form to find which of the function has the same y-intercept value of -3 as in the function [tex]y = \frac{2}{3}x - 3[/tex].

Option A: [tex]\frac{2}{3} x + 3y = -3[/tex]

Rewrite as y = mx + b

[tex]\frac{2}{3} x + 3y - \frac{2}{3} x = -\frac{2}{3} x -3\\\\3y = -\frac{2}{3} x -3\\\\3y \times \frac{1}{3} = -\frac{2}{3} x \times \frac{1}{3} -3 \times \frac{1}{3}\\\\\mathbf{y = -\frac{2}{9}x - 1}[/tex]

Thus, the y-intercept is -1

Option B: [tex]-\frac{2}{3} x + 3y = 6[/tex]

Rewrite as y = mx + b

[tex]-\frac{2}{3} x + 3y + \frac{2}{3} x = \frac{2}{3} x + 6\\\\3y = \frac{2}{3} x + 6\\\\3y \times \frac{1}{3} = \frac{2}{3} x \times \frac{1}{3} + 6 \times \frac{1}{3}\\\\\mathbf{y = \frac{2}{9}x + 2}[/tex]

Thus, the y-intercept is 2

Option C: [tex]x + 4y = 12[/tex]

Rewrite as y = mx + b

[tex]x + 4y - x= - x + 12\\\\4y = -x + 12\\\\4y \times \frac{1}{4} = -x \times \frac{1}{4} + 12 \times \frac{1}{4} \\\\\mathbf{y = -\frac{1}{4} x + 3}[/tex]

Thus, the y-intercept is 3

Option D: [tex]6x - 7y = 21[/tex]

Rewrite as y = mx + b

[tex]- 7y = -6x + 21 \\\\-7y \times -\frac{1}{7} = -6x \times -\frac{1}{7} + 21 \times -\frac{1}{7}\\\\\mathbf{y = \frac{6}{7}x - 3}[/tex]

Thus, the y-intercept is -3

Therefore, the equation of the function that has the same y-intercept as  [tex]y = \frac{2}{3}x - 3[/tex] is  [tex]\mathbf{6x - 7y = 21}[/tex]. Both functions have the y-intercept of -3.

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zahra cuts a loaf of bread into 5 equal pieces she then cuts each piece into 3 equal slices what fraction of the whole loaf is one slice of bread

Answers

one slice of bread would be 1/15

Round 3,942,588 to the nearest thousand.

Answers

Hey there! :D

3,942,588

The thousandths is where the 2 is. 

If the number behind the 2 is 5 or greater, we round up to 3.

It is, so round up:

3,943,000 <== rounded number

I hope this helps!
~kaikers

state if the two triangles are congruent. if they are state how you know.

Answers

1) The triangles are congruent by SSS.

The two tick marks indicate two pairs of congruent sides; it is evident that the third side is congruent by the way the diagram is drawn - the bases of the triangles are together and appear to be the same length.

2) The triangles are congruent by SAS.

The two pairs of tick marks indicate congruent sides, and their included angles are congruent because they are vertical angles, and vertical angles are always congruent.

Harry’s pizzeria is having a sale on medium and large pizzas. Medium pizzas are 10 inches in diameter and cost $7.99. Large pizzas are 14 inches in diameter and cost $14.99 Which size pizza is the better deal? Explain

Answers

Area = pi * r^2
.
A pizza with a 7-inch diameter has a radius of 3.5 inches.
Area = pi*3.5^2 = 38.48 sq. in.
.
A pizza with a 14-inch diameter has a radius of 7 inches.
Area = pi*7^2 = 153.93 sq. in.

.
The smaller pizza costs $5 = 500 cents, so it costs 500/38.48 = about 13 cents per sq. in.
.
It costs $12 = 1200 cents, so it costs 12/153.93 = about 8 cents per sq in.
.
The larger pizza is a better buy in terms of the cost per sq. in.
.
Done, hope that helped
The pizza that is the better deal is Large.

Medium Pizza : 
A^m = (3.14)*(5)^2
A^m= 78.5in^2
$7.99 / 78.5in^2 = $.10/1in^2

Large Pizza :
A^l = (3.14)*(7)^2
A^l = 153.86in^2
$14.99/153.86in^2 = $.09/1in^2


if you were given a rectangle with a certain area, how would you draw it so that it had the greatest perimeter?

Answers

we know
 
A------------------> area of rectangle

Let
x-----------> larger side
y-----------> smaller side
r------------> ratio

r=x/y
we know that
if r=1----------- > is a square

to get the largest perimeter I would draw it increasing its larger side x and decreasing its smaller side y, keeping the same area
the ratio must be r>1

example 1
if you have two rectangles with the same Area
the rectangle A have r=1.6 and the rectangle B have r=3
the perimeter of rectangle B > perimeter of rectangle A

example 2
the area of rectangle is 6 units²
rectangle 1-------> 3x2
r=3/2=1.5
P=10 unit
rectangle 2-------> 6x1
r=6/1=6
P=14 units



PLEASE HELP ASAP!!!
A corporation has agreed to donate money to a charity organization each time one of its employees donates to that charity organization. The corporation donates $3 for every $2 donated by an employee. The total amount the corporation donates to the charity organization is proportional to the total amount that its employees donate. Write an equation representing the relationship between c, the amount the corporation donates, and e, the amount its employees donate.

Answers

The dependent variable here is "c" - the amount of money donated by the corporation only changes based on how much is donated by the employees. So when setting up our equation, "c" will be by itself on one side: 

c = 

$3 for every $2 is written as a fraction, since this is a proportional relationship: 

[tex] \frac{3}{2} [/tex]

The independent variable here is "e" - the amount of money donated by the employees changes by itself. So when setting up our equation, "e" will be placed next to the proportion: 

[tex] \frac{3}{2} e [/tex]

Our final equation will be: 

c = [tex] \frac{3}{2} e [/tex]

Final answer:

The relationship between the amount the corporation donates and the amount its employees donate can be represented by the equation c = (3/2)e.

Explanation:

Equation: The relationship between the amount the corporation donates (c) and the amount its employees donate (e) can be represented by the equation: c = (3/2)e.

What are the measures of two complementary angles if the difference in their measures is 18?

Answers

Complementary angles = 90°
x= angle 1
(90-x)= angle 2

Subtract the two angles to get the difference between them (18°).

(90-x) - x= 18
combine like terms

90 - 2x= 18
subtract 90 from both sides

-2x= -72
divide both sides by -2

x= 36° angle 1


Substitute answer in to find angle 2:
=90 - x
=90 - 36
=54° angle 2

Hope this helps! :)

Kate drives 234 miles in 5 hours Felix only has to drive one half of the distance that kate does how many miles does Felix has to drive?

Answers

117 because it is only 234 divided by 2.
The answer would be 117 I think

Figure 1 is dilated to get Figure 2.

What is the scale factor?

Enter your answer, in simplest form, in the box.

Answers

I believe the answer is 2.4, because 24/10= 2.4. To check this answer, multiply 10 by 2.4. :) 

simplify the expression
(3x^4y^-5)3

Answers

To simplify the expression (3x^4y^-5)^3, apply the power rule to each term, calculate the result, and combine them. The simplified form is 27x^12y^-15.

How to Simplify the Expression (3x^4y^-5)^3:

Let's simplify the given expression step by step:

Apply the power rule of exponents to the entire expression. This means raising each term inside the parentheses to the given power:

(a^m * b^n)^p = a^(m*p) * b^(n*p)

So, (3x^4y^-5)^3 becomes:

(3^3) * (x^(4*3)) * (y^(-5*3))

Calculate each term separately:3^3 = 27x^(4*3) = x^12y^(-5*3) = y^-15

Putting it all together, we get:

27x^12y^-15

Simplified Form:

In conclusion, the simplified form of (3x^4y^-5)^3 is 27x^12.y^-15.

1 4/7 X 2/5

help wnted

Answers

1 4/7=11/7

11/7x2/5

11x2=22

7x5=35

22/35 is your answer

Answer:

Your answer is [tex]\frac{22}{35}[/tex]

Step-by-step explanation:

[tex]1\frac{4}{7}[/tex] [tex]x \frac{2}{5} = \frac{22}{35}[/tex]

How do you write 59/100 as a decimal

Answers

0.59 is written as a decimal for 59/100

A number that has a whole number and a fractional component separated by a decimal point is a decimal. The decimal point is the dot that appears between the parts of a whole number and a fraction. 13.6 is a decimal number, for instance in this case, the whole number half is 13, and the fractional part is 6.

The decimal point is ".".

To convert the given number into decimal:

Given number is 59/100

Count the zeroes in the denominator and shift the decimal to the left-hand side that times.

Here, 2 zeroes are there, So shift decimal to left-hand side 2 places.

So, it will result in 0.59

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PLEASE HELP!!!! THANK YOU!!!

The graph of the function y = x2 is shown. How will the graph change if the equation is changed to y = 2x2?
A) The parabola will become wider.
B) The parabola will become narrower.
C) The parabola will move up 2 units.
D) The parabola will move down 2 units.

Answers

The equation describes a relationship between the variables A and B. The graph is a visual representation of this on a Cartesian plane. The parabola will become narrower in this case as the equation is changing from a smaller relative value of Y to a larger relative value of Y.

The parabola will become narrower, the correct option is B.

How the graph will change?

For a function f(x), we define a vertical stretch of scale factor k as:

g(x) = k*f(x).

If k > 1, we have a stretch, if 0 < k < 1, we have a contraction.

In this case, we have:

f(x) = x^2g(x) = 2*x^2

So we have a vertical stretch of scale factor 2, this means that we are stretching our function vertically, so it will become narrower, meaning that the correct option is B.

If you want to learn more about transformations, you can read:

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Chris is making a poster for Bike Safety Week. The diameter of circle A is 14 in.

If the area of circle B is the area of circle A, what is the area of circle B? (Use 3.14 for .)

Answers

Answer:

30.772 in2.

Step-by-step explanation:

First, find the radius of circle A.

* in picture*

Next, use the formula and the radius of circle A to find the area of circle A.

*in picture*

Last, multiply the area of circle A by  to find the area of circle B.

*in picture*

Therefore, the area of circle B is 30.772 in2.

Julia is the president of the technology Club at school she has $568 to buy as many DVD players as she can for $75 each how many DVD players does Julia by and how much money does she have left over explain why and show your work

Answers

You need to divide the total amount by $75, to see how many DVD players she could buy with the $568.
568÷75= 7 remaining 43 
This means that Julia can buy 7 DVD players, and will have $43 extra dollars left over.

how can I remember what I learned in school?

Answers

For short term remembering: It really works if you take notes in class. I also found making connections to things you've experienced helps too.

For long term remembering - I found reviewing what you've learned recently is extremely useful. You can usually do this once in a couple of days until you're sure you can remember it.

Hope this helps!
Why You Forgot Everything You Learned In School (And How To Change That)

Listen, we all feel like we could use a bit of memory training. Let’s start with a small thought experiment. Take a minute to think back to your science classes in high school and see how much you can recall.

Can you explain the elements that make up an atom, or the basic principles of plant biology? How about physics, or simple chemistry? Do facts and procedures come rushing back, or do you remember your teacher’s face, or the way the room smelled after an experiment?

Everyone will have different memories, and they may have very little to do with what you were taught in class. You might not remember anything at all. It’s extraordinary how quickly we manage to forget what we crammed during all those long hours of study. Algebra. Long division. Verbs, adverbs and relative clauses. The causes of World War I. Where did it all go, we muse, years later?

It is extraordinary that so many of the world’s education systems, which are usually based on testing how well a student can recall and apply information, are designed without any real thought of how our memories work. Memory is perhaps the most fundamental factor in how human beings learn. Memory training should inform all aspects of education; instead, it’s an afterthought.

Advances in cognitive science have huge implications for how we learn and remember things. It’s time for policymakers, educators, and anyone who wants to learn something — in other words, all of us — to start listening.

How can a mixed number be written as a sum?

Answers

First, write the mixed number as a sum of a whole number and a proper fraction. Then write the two parts with common denominator , and add. Once you're used to this, you can use a shortcut method: 1) Multiply the whole part by the denominator of the fractional part, and add the numerator of the fractional part.

To write a mixed number as a sum, separate the whole number part and the fractional part, such as 3 1/2 as 3 + 1/2.

A mixed number can be written as a sum by separating the whole number part and the fractional part. For example, 3 1/2 can be written as 3 + 1/2. This means 3 plus one-half.

A small plant is 212 inches tall. How tall will it be in 3 weeks if it grows 34 inch each week? Which method will NOT give the correct number of inches?

Answers

Answer:

Multiply [tex]2\frac{1}{2}[/tex] by [tex]3[/tex] and then add [tex]\frac{3}{4}[/tex]

Step-by-step explanation:

we know that

using proportion

[tex]\frac{(3/4)}{1}\frac{in}{week}=\frac{x}{3}\frac{in}{weeks} \\ \\x=3*(3/4)\\ \\x=9/4\ in[/tex]

Find the height of the plant in [tex]3[/tex] weeks

[tex]2\frac{1}{2} +\frac{9}{4}=\frac{5}{2} +\frac{9}{4}\\ \\=\frac{19}{4}\ in[/tex]

therefore

The incorrect method is

Multiply [tex]2\frac{1}{2}[/tex] by [tex]3[/tex] and then add [tex]\frac{3}{4}[/tex]

because

[tex]2\frac{1}{2}*3+\frac{3}{4}=\frac{15}{2}+\frac{3}{4}\\ \\=\frac{33}{4}\ in[/tex]

Explain why the decimal point moves when you rewrite a percent as a decimal and when you rewrite a decimal as a percent.

Answers

Well say you have 10% and you want to change it to a decimal. 10% is the same as 10/100 or 10 divided by 100 which makes us move the decimal to the left twice.
I hope I helped :)

Percent” means “out of 100” so the decimal point moves when you rewrite a percent as a decimal and when you rewrite a decimal as a percent.

What is Percentage?

percentage, a relative value indicating hundredth parts of any quantity.

It’s not that we “move” the decimal point. It’s just that in converting a numeral to percent notation results in the decimal point being in a different place by 2 places.

What we are really doing when we convert a numeral to decimal notation can be thought of as multiplying by 1 — which doesn’t change a numbers value — but multiplying by 1 written in a special way.

You see, “percent” means “out of 100”. So the number 1 is how many parts out of 100? If you break a single thing into 100 pieces, you have 100 pieces.

1 = 100%

Hence, percent” means “out of 100” so the decimal point moves when you rewrite a percent as a decimal and when you rewrite a decimal as a percent.

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