While shopping, Dawn finds a backpack that she likes on the sale rack. Its original price is $60,
but everything on the rack comes with a 30% discount. Dawn also has a coupon for 15% off of
her total purchase.
Dawn says, "Thirty percent and fifteen percent make forty-five percent and 45% of $60 is $33,
so it will cost $33."
Is Dawn correct? Explain why or why not. Be sure to support your reasoning with a
mathematical model.

Answers

Answer 1

No. Because 33 $ is the money deducted from the 60 $. Dawn bought everything for less than 60 $.

So, if Dawn purchases everything on the rack with a 30% discount and 15% coupon the total will indeed make 45%.

We have to take 100% - 45%= 55% to know the reduction number. Let's proceed to the calculations now.

100%= 60 $

1%=60/100

55%= 60/100 × 55 = 33 $

Now NOTE; 33 $ is the money reduced from the 60 $. So, logically, 33 $ isn't the amount which Dawn purchased the whole rack.

To find the amount at which she purchased everything, we need to do,

60 $ - 33 $ = 27 $


Related Questions

Which of the following is a common denominator of 3/4 and 1/5
a.35
b.20
c.15
d.30

Answers

Answer:

b.20

Step-by-step explanation:

brainliest please

Answer:

The answer is 20

Step-by-step explanation:

Please help me with this homework

Answers

Step-by-step explanation:

a)20.52 approximately

b) 36.9 approximately

c)5.49 approximately 5.5

d)14.9 approximately 15

A 7 cm x 5 cm rectangle sits inside a circle with radius of 6 cm. What is the area of the shaded region? Round your final answer to the nearest hundredth. 7 cm 6 cm 5 cm​

Answers

Answer:

78.1 cm^2

Step-by-step explanation:

Pi r^2= area of circle

3.14 x 6^2= 113.1

b x h = area of rectangle

5 x7 =35

113.1 - 35= 78.1

What is the value of x? Enter your answer in the box.

Answers

i think it’s 22, not sure tho

I forgot how to find a function in a graph ​

Answers

Answer:

This graph is NOT a function.

Step-by-step explanation:

A graph is a function only if there is exactly one y-value for every x-value. In this case, there are many x-values that have two y-values, making this graph not a function.

Let me know if this helps!

The wholesale price for a pair of jeans is $15.25. A store marks up the
price by 83%. A customer purchases the jeans and also pays a 6% sales
tax. What is the total amount the customer pays for the jeans?

Answers

15.25/.83 = 12.6
12.6/.6 = $30.6
hope this helps

-x+2y=6
7/2x+7y=14 solve with substitution

Answers

9514 1404 393

Answer:

  (x, y) = (-1, 5/2)

Step-by-step explanation:

The only variable with a coefficient that has a magnitude of 1 is x in the first equation. Using that equation, we can write an expression for x:

  x = 2y -6

This can be substituted for x in the second equation.

  (7/2)(2y -6) +7y = 14

  7y -21 +7y = 14 . . . . . . eliminate parentheses

  14y = 35 . . . . . . . . . . . add 21

  y = 35/14 = 5/2 . . . . . divide by the coefficient of y

  x = 2(5/2) -6 = -1

The solution is (x, y) = (-1, 5/2).

Nate needs 250 tickets to get the prize he wants at the arcade. He already has 73 tickets and can earn 15 tickets each time he plays an arcade game. How many games will he have to play in order to have enough tickets to win the prize he wants?

Answers

Answer:

12

Step-by-step explanation:

250-73= 117//117/12=11.8, but you cannot play a fraction of a game which rounded is 12

Answer:

12

Step-by-step explanation:

Solve the system by substitution y = -6x and -2x-7y=40

Answers

Answer:

x=4 y=8

Step-by-step explanation:

How do I solve this equation using long polynomial division?

Answers

Oh okie oh gosh lol lol I don’t know

Rearrange y=4x+1 making x subject

Answers

Answer:

Not sure by the way the question is asked but I think the answer is x=(y-1)/4

Step-by-step explanation:

Subtract one from both sides: y-1=4x

Divide the four from both sides: (y-1)/4=x

Answer:

[tex] \frac{y - 1}{4} = x[/tex]

What is the area of the triangle shown below?
A. 84 sq. units
B. 42 sq. units
C. 20 sq. units
D. 10 sq. units

Answers

Answer:

42 sq. Units

Step-by-step explanation:

I took the test

The area of the triangle shown below is B. 42 sq. units, the correct option is B.

What is the area of a triangle?

The area of the triangle is defined as the product of half the base and the height of the triangle.

We are given the parameters are;

Length of its base = b units

Its height = h units long,

Then we get:

Area of a triangle = 1/2 b h

We are given that;

Base= 14, Height= 6

Now,

The area of a right triangle is given by:

Area = (1/2) * base * height

Substituting the values;

Area = (1/2) * 14 * 6

= 42 square units

Therefore, the area of triangle will be 42 sq. units.

Learn more about area of a triangle;

brainly.com/question/2532574

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Don deposited $3,500 for 5 years on 2.40 pa interest rate in his savings account how much simple interest will he earn

Answers

3,500 (.024) = 84
84 (5) = $420 in simple interest

please help on this

Answers

Answer:

Try the first one but I think i that it

Step-by-step explanation:

Hope that helps

help Video
What is an equation of the line that passes through the points (2, 2) and (-2,8)?

Answers

y= -3x\2 + 5 hope this helped :))
The slope is m=-3/2
y-2=-3/2(x-2)
y-2=-3/2x+3
y=-3/2x+5

PLEASE HELP ME
PLEASE I WILL GIVE 25 point IF IT IS RIGHT!!

Answers

You take 240 divie it by 2 which is 120 and that should be your answer

3a + 7 + 2(3 + a)
[tex]what \: is \: anwser[/tex]

Answers

Answer:

5a + 13

Step-by-step explanation:

3a + 7 + 2(3 + a)

3a + 7 + 6 + 2a

5a + 13

i’m almost positive it would be 5a+13

f(x)=5x+7 and g(x)=2x+3 find a) `(f+g)(x)` b) `(f-g)(x)`

Answers

X + 1 by x = 99 find the value of 100x by 2x square + 102x + 2

1

SEE ANSWER

give me brainilest

Answer:

[tex]a) \\(5x + 7) + (2x + 3) = 7x + 10 \\ b) \\ (5 x + 7) - (2x + 3) \\ = 5x + 7 - 2x - 3 \\ = 3x + 4[/tex]

Fractions easy.
I just need answer for c and d

Answers

Answer:

i think C is 27 1/2 and D is 2 1/22 i dont know though let me know if its wrong

Step-by-step explanation:

i just turned them into mixed numbers

Tyler ran to the gas station because he wanted a bag of cheetos. The gas station was 685 meters away from his home. He was able to reach the store in 5 minutes. What was Tyler's average speed while he was traveling to the store?

Answers

the anwser is:

137 meters per minute

Anny’s Bikes rents bikes for $10 plus $4 per hour. Janice paid $30 to rent a bike.

Write an equation that models the situation above. Use the variable "x" to create the equation.

Answers

Answer:

[tex]30 = 10 + 4x[/tex]

Answer:

Janice rented the bike for 5 hours.

Step-by-step explanation:

The equation used to model this problem is 10 + 4x = 30. Subtract 10 from both sides. You are now left with 4x = 20. Divide both sides by 4. Now you have x = 5. This answer results in the conclusion that Janice spent 5 hours with the bike.

Solve each system of equations algebraically

y=x+2
y=-3x​

Answers

Answer:

Your answer is: (-1/2, 3/2)

Step-by-step explanation:

y = x + 2

y = -3x

Use substitution by plugging the second equation into the first.

-3x = x +2

Subtract x from both sides to combine the variables.

-4x = 2

Divide both sides by -4 to isolate the variable x.

x = 2/-4

Simplify.

x = -1/2

Plug x into one of the equations to find y.

y = (-1/2) + 2

y = 3/2

Plug x into the other equation to confirm your answer.

y = -3(-1/2)

y = 3/2

Your answer is: (-1/2, 3/2)

Simplify the following
16a^2b^3c^6/48ab^5c^6​

Answers

Answer:

a/3b^2

Step-by-step explanation:

16a^2b^3c^6/48ab^5c^6

the c^6 cancel out, then simplify a^2 and a: ​16a^2b^3/48ab^5 = ​16ab^3/48b^5

Then divide 48 and 16 you get 3 ​16ab^3/48b^5 = ab^3/3b^5

And lastly, simplify b^3 and b^5  ab^3/3b^5 =

a/3b^2

Please I really need help fast

Select the compound inequality shown on the graph.
+++
-5 -4 -3 -2 -1 0 1
N
3
4 5

A. x < -1 and x 24

B. x>-1 and x 34

C. -13x34

D. -13x<4

Answers

Answer:

B

Step-by-step explanation:

there is a hole at -1, so -1 is less than x and x is greater than or equal to 4

The compound inequality shown on the graph is x < -1 and x≥4.

What is Inequality?

Mathematical expressions with inequalities are those in which the two sides are not equal. Contrary to equations, we compare two values in inequality. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.

We have the graph for the inequality.

The first part of the inequality is

x < -1

and, the second part of inequality x≥4

So, the compound inequality is x < -1 and x≥4.

Learn more about Inequality here:

https://brainly.com/question/30231190

#SPJ2

Given two sets of parallel lines in the diagram below, what is the relationship between ∠ 9 and ∠ 3 ? image

Answers

The relationship between angle nine and then go three is that they both are divisible by three 9÷3 is three and 3÷3 is one so that is the relationship between them

please help and show work​

Answers

Answer:

[tex]since \: the \: three \: sides \: are \: not\: equal : \\ its \: a \to \:\underline{\boxed{scalene}} \\ line \: \overline{AB} = 2 \\ line \: \overline{AC}= 6 \\ line \: \overline{BC} = 2 \sqrt{10} [/tex]

Step-by-step explanation:

[tex]to \: prove \: this \to \: we \: will \: need \: to \: find \\ \: the \: lenghts \: of \: the \: sides \: of \: \\ this \: triangle \to \\ using \: the \: shortest \: distance \: between \: \\ two \: points \to \: d \: = \sqrt{( {x_2 -x_1) }^{2} + (y_2 - y_1)^{2} } \\ \\ \underline{ \boxed{\overline{AB}}} \\ line \: \overline{AB} \: has \: points \to: ( - 3, - 3) \: and \:( 3, 5) \\ d \: = \sqrt{ (( - 3) - ( - 3))^{2} +( 5 - 3))^{2} } \\ d = \sqrt{(0) + (4)} \\ d = \sqrt{4} \\ \boxed{ d = 2 = AB} \\ \\ \underline{ \boxed{\overline{AC}}} \\ line \: \overline{AC} \: has \: points \to: ( - 3, - 3) \: and \:( 5, - 1) \\ d \: = \sqrt{ (( - 3) - ( - 3))^{2} +(( - 1) - 5)^{2} } \\ d = \sqrt{(0) + ( - 6) {}^{2} } \\ d = \sqrt{36} \\ \boxed{ d = 6 = AC} \\ \\ \underline{ \boxed{\overline{BC}}} \\ line \: \overline{BC} \: has \: points \to: ( 3, 5) \: and \:( 5, - 1) \\ d \: = \sqrt{ (5 - 3)^{2} +(( - 1) - 5)^{2} } \\ d = \sqrt{(2) {}^{2} + ( - 6) {}^{2} } \\ d = \sqrt{40} \\ \boxed{ d =2 \sqrt{10} = BC} \\ its \: a \: scalene : since \: the \: three \: sides \: are \: not\: equal[/tex]

can someone plz help

Answers

Answer:

x=16

Step-by-step explanation:

Please help if possible :)

Answers

THE ANSWER IS: 16

since N is the incenter,
ND = NE = NF

set the two equations equal to each other
solve for x
plug back x into one of the equations

Find the indicated term of each sequence by repeatedly multiplying the first term by the common ratio. Enter your answer to 7 decimal places if necessary. Use a calculator. 12, −2.4, 0.48, ...; 7th term The 7th term of the sequence is

Answers

Answer:

The 7th term of the sequence is 0.000768

Step-by-step explanation:

As given, the sequence is : 12, -2.4 , 0.48, ....

The first term = 12

Second term = -2.4

Third term = 0.48

Common ratio = [tex]\frac{-2.4}{12} = \frac{0.48}{-2.4} = -0.2[/tex]

Fourth term = 0.48(-0.2) = -0.096

Fifth term = -0.096(-0.2) = 0.0192

Sixth term = 0.0192(-0.2) = -0.00384

Seventh term = -0.00384(-0.2) = 0.000768

HELP ME ASAP
Which of the following articles would most benefit from a problem and solution organization pattern?

An article explaining your ideas on how to best rescue endangered loggerhead turtle eggs
An article comparing the loggerhead turtle rescue efforts on different beaches
An article discussing the life span of the loggerhead turtle
An article explaining why the loggerhead turtle is an endangered species

Answers

Answer:

An article explaining your ideas on how to best rescue endangered loggerhead turtle eggs

Step-by-step explanation:

In the problem and solution organization pattern, it is all about the ability to determine the problems affecting the organisation as well as proffer solutions on how to solve those problems. This would then lead to minimizing cost and maximizing profits. The example above which is about ideas on how to rescue endangered loggerhead turtle eggs is following same pattern.

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