Mathematics Middle School

Maria and Edwin have $23.00 each to spend at a book fair, where all students receive a 25% discount. They both want to purchase a copy of the same book, which normally sells for $26.50 plus 10% sales tax. To check if she has enough to purchase the book, Maria takes 25% of $26.50 and subtracts that amount from the normal price. She takes 10% of the discounted selling price and adds it back to find the purchase amount. Edwin takes 75% of the normal purchase price and then computes 110% of the reduced price. Is Maria correct? Is Edwin correct? Do they have enough money to purchase the book? Explain your answer using complete sentences, and show your work.

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@SignoraPenguino

Answers

Answer 1

Answer:

Step-by-step explanation:

They are both correct, the only difference is Maria did a two step process and Edwin did a one step process the total amount it would cost is $21.87 with $1.13 left over.

The way Maria calculates the final price of the book is correct. We know that the book normally sells for $26.50 plus a 10% sales tax. We also know that the students will receive an additional 25% discount. We must understand that the sales tax is applied to the discounted price. So first we will calculate 25% of 26.50 and subtract it from that amount. So the price will then be: (26.50 - 6.625). The price is now $18.34. Then to calculate the tax, it will be (10% * 18.34), so 1.834. We add this amount to the discounted price so: (18.34+1.834) = 20.12.

The final price of the book is $20.12 and Maria can get it and still save a little money.

your welcome

 

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Which of the following does not represent a function?

the first one on the left is A and the last one on the right is D

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C is the answer to it
C, because a slope be curved or straight .

56/x^2-2x-15 - 6/x+3 = 7/x-5

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i have no idea man, it said no solution in my calculation 

If Bella runs 40% as fast as Thomas and 35% as fast as tam what percent faster than Thomas is tam

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I think you multiply 40 by35

sir wash his cars at the carwash she makes $8 25 per hour and $30 in tips per day give an expression that Sarah could use to calculate her daily earnings A$8 25x + $30 B $8 25 + $30 C $8 25 - $30 D $8.25 + $30x

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x = hours worked so her hourly pay would be 8.25x

then you add 30 in tips

 so it would be 8.25x+30

 Answer is A

A group consisted of two girls for every boy. 24 more girls joined the group. there are now five girls for every boy. how many boys are in the group?

Answers

I think it's 4 1/2 because 5×4 equals 20

At 6:00 A.M. the temperature was 33°F. By noon the temperature had increased by 10°F and by 3:00 P.M. it had increased another 12°F. If at 10:00 P.M. the temperature had decreased by 15°F, how much does the temperature need to rise or fall to return to the original temperature of 33°F?
A) Fall 7°F

B) Rise 7°F

C) Fall 3°F

D) Rise 3°F

Answers

So at 6:00 a.m. the temperature is 33 F
12:00 p.m. the temperature increased by 10 F so it is 43 F
3:00 p.m. the temperature increased by another 12 F making it 55 F
At 10:00 p.m. it would decrease by 15 F making it 40 F.

The temperature would need to fall/decrease 7 F to reach the original temperature of 33 F so it would be A.

Hope this helps!
Can u plz mark me as brainliest? I really need it!

need help with this if someone could help me please and thank you

Answers

I would say the square with 3 out of 4 boxes shaded, because the point is 0.75
The answer is C the one with 3 out of 4 
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how many bracelets can she make in 3.5 hours

Answers

Answer is B. 10.5. Hope this helps! :)
Look at the graph.
If you go to x = 2, you see y = 6.
x is the independent variable and represents the number of hours she works.
Now go up from x = 2 on the x-axis until you reach the line. At that point, y = 6. y is the dependent variable and shows how many bracelets she makes.
She makes 6 bracelets in 2 hours.
If you divide the number of bracelets by the number of hours, you get the unit rate of bracelets per hour.

6 bracelets / 2 hours = 3 bracelets/hour

Now multiply the unit rate by 3.5 hours

3 bracelets / hour * 3.5 hours = 10.5 bracelets.

In 3.5 hours, she makes 10.5 bracelets.

Kendrick adds 3/4cup of chicken stock to a pot. Then he takes 3/4 cup of stock out of the pot. What is the overall increase or decrease in the amount of chicken stock in the pot?

Answers

the over all increase is 3/4 the decrease is 3/4 so the answer would be 0 stock in a pot

There is no net change in the amount of chicken stock in the pot.

To determine the overall change in the amount of chicken stock, we need to compare the amount added to the amount removed. Kendrick adds 3/4 cup of chicken stock to the pot, and then he takes out 3/4 cup of chicken stock from the pot.

Using a simple calculation:

Initial stock added: 3/4 cupStock removed: 3/4 cupOverall change = 3/4 cup - 3/4 cup = 0 cups

Therefore, the overall increase or decrease in the amount of chicken stock in the pot is zero. There is no net change in the amount of chicken stock in the pot.

A box of crackers costs 0.26 .if the box contains 10 ounces , what is the cost of the box of crackers

Answers

What we know:
.26 per ounce of crackers
1 box=10ounces

Waht we need to find:
Cost of box= $2.60

.26×10=2.60
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That is how much the box is

Given: {An}=nn+1

Compute a3

Answers

You really meant to type a_3.

a_3 = nn + 1

Replace every n with 3 and do the math.

a_3 = (3)(3) + 1

a_3 = 9 + 1

a_3 = 10

35+-20+-5 What is the answer?? Worth 10pts...


Answers

[tex]35 + - 20 + - 5[/tex]

If two signs are different they make a negative, if two signs are the same, they make a positive:

[tex]35 - 20 - 5[/tex]
[tex]10[/tex]

Hope this helps!

sanjay can travel 342 miles in 6 hours. at this rate, how far can he travel in 5 hours?

Answers

285 miles in 5 hours
To find the hourly rate, you divide miles/hour.
342/6= 57mph
57*5= 285

jacob bought some tickets to see his favorite singer. He bought some adult tickets and some children's tickets, for a total of 9 tickets. The adult tickets cost $10 per ticket, and the children's tickets cost $8 per ticket. If he spent a total of $76, then how many adult and children's tickets did he buy ?

Answers

6 adult tickets and 2 children’s tickets !

Final answer:

Jacob bought 2 adult tickets and 7 children's tickets to see his favorite singer, spending a total of $76 for 9 tickets with adult tickets costing $10 each and children's tickets $8 each.

Explanation:

Jacob bought a total of 9 tickets, consisting of adult tickets and children's tickets. Adult tickets cost $10 each while children's tickets cost $8 each, and Jacob spent a total of $76 on tickets. To find out the number of adult and children's tickets he bought, we can set up a system of equations:

Let the number of adult tickets be represented by a and the number of children's tickets be represented by c. We are given two pieces of information:

Jacob bought 9 tickets in total: a + c = 9The total amount spent was $76: 10a + 8c = 76

We can solve the system of equations by substitution or elimination. If we rearrange the first equation (a + c = 9) to get a = 9 - c, we can substitute this into the second equation 10a + 8c = 76:

10(9 - c) + 8c = 7690 - 10c + 8c = 7690 - 2c = 762c = 14c = 7

Now that we have the value for c, we can find a:

a = 9 - ca = 9 - 7a = 2

Jacob bought 2 adult tickets and 7 children's tickets.

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Answers

42 divided by 3/4 equals 56 pennies

mark me as brainliest please and thank you
i think is 56 pennies.

Most of the energy on Earth comes from A. Chemicals B. The sun C. Photosynthesis D. Carbohydrates

Answers

B.The sun. The sun shines down on earth for US humans to have energy.
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A scuba diver is 3.8 meters below the surface of the water. He is descending at a rate of 0.5 meters per minute.

Part 1:
Write an algebraic expression to describe the depth of the scuba diver after any number of minutes.




Part 2:

Describe what the variable represents in this situation.

Answers

-3.8 - 0.5m <== ur expression

the variable (m) represents number of minutes

Answer:

[tex]-3.8-0.5x[/tex]

Step-by-step explanation:

A scuba diver is 3.8 meters below the surface of the water.

So, Depth of scuba driver is - 3.8 m

He is descending at a rate of 0.5 meters per minute.

So, Rate = -0.5 m . min

So,Distance traveled in x minutes = -0.05 x

So, The depth after x minutes = -3.8-0.5x

So, an algebraic expression to describe the depth of the scuba diver after any number of minutes is  -3.8-0.5x

The variable x represents the no. of minutes .

Marie mixes 16 liters of 78% acid solution with a 25% acid solution to make a 41% acid solution. How many liters of 25% solution did she use? 8 liters 12 liters 13.7 liters 37 liters

Answers

16 liters x 0.78 = 12.48 liters

0.25x +12.48 = 0.41(16+x)

0.25x+12.48 = 6.56 +0.41x

5.92 = 0.16x

x = 5.92/0.16 = 37 liters


Suppose there are 20 questions on a multiple choice test.if 25%of the answers are choice B how many of the answers are not choice B

Answers

The amount of answers that are not choice B are 15 questions.
First, break down the question. There are 20 questions in all. So, do 20-25%=15. So, 15 questions aren't choice B.

of the 460 visitors on saturday 54/100 of them stayed until the park closed about how many visitors stayed the park closed?

Answers

i believe your answer would be about 248 visitors.

Hope this was helpful 
460*(54/100)=
460*.54=
248.4 (can't have half a person so...)
248

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Answers

Do the division problem.Multiply the quotient times the divisor.If there is a remainder, add it to the multiplication product.Compare this answer to the dividend. They should be the same number (630 = 630).

Answer:

Instead of divide the dividend by the divisor to get a quotient, you can estimate an approximate quotient and then multiply it by the dividend. If the result is greater than the divisor, then your estimated quotient was greater than the actual quotient, in the case that the result is lower than the divisor, then your estimated quotient was lower than the actual quotient. After that you proceed to estimate again the quotient. For example:

First approximation:

192/12 ≈ 14

12*14 = 168 < 192

Second approximation:

192/12 ≈ 20

12*20 = 240

So, the answer is between 14 and 20

Third approximation:

192/12 ≈ 16

12*16 = 192

Then, 16 is the correct answer

find the equation of the normal of the curve at the given points :D thankiewss

Answers

We want to find the equation of the normal line of [tex]y=\dfrac{20-x}{3x}[/tex] at the point [tex]P=(x_0,y_0)[/tex], where [tex]y_0=3[/tex]. First calculate [tex]x_0[/tex]. We have:

[tex]y_0=f(x_0)=\dfrac{20-x_0}{3x_0}\\\\\\3=\dfrac{20-x_0}{3x_0}\quad|\cdot3x_0\\\\\\3\cdot3x_0=20-x_0\\\\9x_0=20-x_0\\\\9x_0+x_0=20\\\\10x_0=20\quad|:2\\\\\boxed{x_0=2}[/tex]

Now, when we know that [tex]P=(x_0,y_0)=(2,3)[/tex] we can write an equation of the normal line as:

[tex]\boxed{y-y_0=-\dfrac{1}{f'(x_0)}(x-x_0)}[/tex]

Calculate [tex]f'(x_0)[/tex]:

[tex]f'(x)=\left(\dfrac{20-x}{3x}\right)'=\left(\dfrac{20}{3x}\right)'-\left(\dfrac{x}{3x}\right)'=\dfrac{20}{3}\cdot\left(\dfrac{1}{x}\right)'-\left(\dfrac{1}{3}\right)'=\\\\\\=\dfrac{20}{3}\cdot\left(-\dfrac{1}{x^2}\right)-0=\boxed{-\dfrac{20}{3x^2}}\\\\\\\\f'(x_0)=f'(2)=-\dfrac{20}{3\cdot2^2}=-\dfrac{20}{3\cdot4}=-\dfrac{20}{12}=\boxed{-\frac{5}{3}}[/tex]

and the equation of the normal line:

[tex]y-y_0=-\dfrac{1}{f'(x_0)}(x-x_0)\\\\\\y-3=-\dfrac{1}{-\frac{5}{3}}(x-2)\\\\\\y-3=\dfrac{3}{5}(x-2)\\\\\\y-3=\dfrac{3}{5}x-\dfrac{6}{5}\\\\\\y=\dfrac{3}{5}x-\dfrac{6}{5}+3\\\\\\\boxed{y=\dfrac{3}{5}x+\dfrac{9}{5}}[/tex]


Plot the x- and y-intercepts to graph the equation. y=1/3x−1.


Answers

To find the x-intercept, substitute in y and solve for x. To find the y-intercept, substitute in 0 for x and solve for y.

x-intercept= (3,0)
y-intercept= (0,-1)

Answer:

The graph of given equation is shown below.

x-intercept is 3 and y-intercept is -1.

Step-by-step explanation:

The given function is

[tex]f(x)=\frac{1}{3}x-1[/tex]

We need to draw the graph of given equation.

At x=0,

[tex]f(0)=\frac{1}{3}(0)-1=-1[/tex]

So, y-intercept is -1.

Equate f(x)=0 to find x-intercept.

[tex]\frac{1}{3}x-1=0[/tex]

[tex]\frac{1}{3}x=1[/tex]

Multiply both sides by 3.

[tex]x=3[/tex]

So, x-intercept of the line is 3.

Plot these two points (0,-1) and (3,0) on coordinate plane and connect them by a straight line.

What is lineAF? 11 units 15 units 43 units 51 units

Answers

Answer:

d.51

Step-by-step explanation:

took the quiz

10 peaple can paint a room in 5 days. if each person paints as quickly as the others then how much of the building could 7 paint in 5 days?

Answers

70% of the room could be painted
7 people is 70% of 10 people.
If 10 people can paint the room in 5 days, then 7 people can paint 70% of the room in 5 days.

A pancake recipe calls for 4 cups of flour and 3 cups milk.does the recipe calling for 2 cups flour and 1.5 cup milk use the same ratio of flour to milk

Answers

yes because if you take 4:3 it equals out to be 2:1.5

find y when x= 115 if y=10 when x=130

Answers

what is the equation

An architect is designing a new windmill with four sails. In his sketch the sails center of rotation is the origin (0,0) and the top of one sails point T, has a coordinates (6,-2). He wants to make another sketch that shows the windmill after sails have rotated 180* degrees about their center of rotation. What would be the coordinates of T?

Answers

The coordinates of T are (-6,2).

The sails center of rotation is the origin (0,0)

The top of one sails point T(6,2).

What is the rotation?

The action or process of rotating on or as if on an axis or center.

A 180 degree rotation make you turn (x, y) into (-x, -y),

so the point  turn (6, -2), into (-6, 2).

Therefore the coordinates of T are (-6,2).

To learn more about the coordinate after rotation visit:

https://brainly.com/question/14266597

When your graphing inequality how do you know which side to shade in

Answers

When graphing an inequality, it is often hard to see what side is shaded, to signal which solutions work. Try out (0, 0) into the equation and if it works, it is a solution, so shade the side that has the origin in it.
You figure out by picking a coordinate on either side of the line, and see if it satisfies the inequality. If it doesn't, the other side of the line will be shaded. If it does, shade that side.

the area of australia is 2.95 x 10^6 square miles. what's the approximate average number of people per square mile in Australia?

Answers

Its approximately 7 people per square mile
Final answer:

The approximate average number of people per square mile in Australia is approximately 8.47.

Explanation:

To find the approximate average number of people per square mile in Australia, we can divide the total population of Australia by the area in square miles. According to the Australian Bureau of Statistics, the population of Australia is approximately 25 million. To calculate the average number of people per square mile, we can divide 25 million by 2.95 x 10^6:

Average number of people per square mile = 25,000,000 / 2.95 x 10^6

Simplifying this expression, we get:

Average number of people per square mile ≈ 8.47

Therefore, the approximate average number of people per square mile in Australia is approximately 8.47.

Learn more about Average number of people per square mile in Australia here:

https://brainly.com/question/29293482

#SPJ2

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