Alfred and Larissa have $21.00 each to spend at a book fair, where all students receive a 35% discount. They both want to purchase a copy of the same book, which normally sells for $28.50 plus 10% sales tax. To check if he has enough to purchase the book, Alfred takes 35% of $28.50 and subtracts that amount from the normal price. He takes 10% of the discounted selling price and adds it back to find the purchase amount. Larissa takes 65% of the normal purchase price and then computes 110% of the reduced price. Is Alfred correct? Is Larissa correct? Do they have enough money to purchase the book? Explain your answer using complete sentences and show your work.

Answers

Answer 1

Answer: See explanation

Step-by-step explanation:

The normal cost of the book plus the sales tax will be:

= $28.50 + ($28.50 × 10%)

= $28.50 + ($28.50 × 0.1)

= $28.50 + $2.85

= $31.35

Since there's a discount of 35%, the amount they'll have to pay will be:

= $31.35 - ($31.35 × 35%)

= $31.35 - ($31.35 × 0.35)

= $31.35 - $10.9725

= $20.3775

They do not have enough money to make the purchase.

Alfred takes 35% of $28.50 and subtracts that amount from the normal price. Alfred's calculation is shown below:

= $28.50 - (35% of $28.50)

= $28.50 - (0.35 × $28.50)

= $28.50 - $9.975

= $18.525

He takes 10% of the discounted selling price and adds it back to find the purchase amount. This will be:

= $18.525 + (10% × $18.525)

= $18.525 + $1.8525

= $20.3775

Alfred is correct

Larissa takes 65% of the normal purchase price and then computes 110% of the reduced price. This will be:

= 65% × $28.50

= 0.65 × $28.50

= $18.525

= 110% × $18.525

= 1.1 × $18.525

= $20.3775

Larisa is also correct


Related Questions

Over 5 hours, a bakery uses 45 sticks of butter. How
many sticks of butter will the bakery use in 4 hours?
Solve using unit rates.

Answers

36 hours because 45/5 is 9 and 9x4 is 36

Answer:

36 sticks

Step-by-step explanation:

if they use 45 in 5 hours do 45÷5=9

9×4=36

EASY POINTS FOR Y'ALL

Answers

Answer:

A: Yes, because it passes the vertical line test.

Step-by-step explanation:

There are no repeating numbers of x, so therefore, it passes the vertical line test and it is a function.

A rectanglehas an aeea of 2/3 square yards. If thewidth of the rectangle is1/2 yardwuat isthelegth

Answers

Answer:

4/3 yards

Step-by-step explanation:

Given that:

Area of rectangle = 2/3 yd²

Width = 1/2 yards

The length of the rectangle =?

Let length of rectangle = x

Recall :

Area of rectangle = Length * width

2/3 = x * 1/2

2/3 = x/2

Multiply both sides by 2

2/3 * 2 = x/2 * 2

4 /3 = x

Hence, length of the rectangle = 4/3 yards

please help with al parts! I will give brainliest to smartest answer!

Answers

Answer:

A: 428.75/ 24.5 = $17.50 per sq foot

B: 62.50*24.50 = $1,531.25

C: 428.75 + 1,531.25 + 137.50 = $2,097.50 for the total replacement

Step-by-step explanation:

Oakridge High School has been experiencing an annual
decline of 2.2% in enrollment since 1994. In 1994, 3000
students were enrolled. Determine the exponential
model that describes the school's enrollment over time.
y = 3000(97.8)^x
y = 3000(102.2)^x
y=3000(1.022)^x
Y= 3000(0.978)^x

Answers

Answer:

Option (D) is correct.

Step-by-step explanation:

We know that exponential decline in Math can be termed as a consistent reduction of an amount by percentage over a certain period of time.

It can be expressed using the formula

y = a (1-b)ˣ

here

y represents the final amounta represents the original amountb represents the decay factorx represents the amount that has passed

Now, map our problem using the same concept formula

as

3000 students were enrolled, so

a = 3000

as High School has been experiencing an annual  decline of 2.2% in enrollment, so

b = 2.2%= 0.022

so substituting b = 0.022 and a = 3000

y = a (1-b)ˣ

y = 3000 (1 - 0.022)ˣ

as

1 - 0.022 = 0.978

so the expression becomes

y = 3000 (0.978)ˣ

Therefore, option (D) is correct.

find an equation of the line that is perpendicular to the line y=5x+6 and passes through the point (-2,5)
workings pls

Answers

Answer:

[tex]5y=-x+23\\[/tex]

Step-by-step explanation:

Since the equation of the line is perpendicular to the line y = 5x +6

we can use the formula:

[tex]m_1m_2=-1\\[/tex]

where m1 is the slope of the line we have and,

m2 is the slope of the line we need

so here m1 is 5 as we compare it with the slope-intercept form our slope is:

[tex]y=5x+6\\y=mx+b[/tex]

our m1 is 5 but we need m2 so plugging in the value we get m2 to be:

[tex]m_1m_2=-1\\5m_2=-1\\m_2=-1/5\\[/tex]

and now we have our m2, now furthermore since the line passes through the point (-2 , 5) it means the point must lie on the line and satisfy it. We can use this point and the slope m2 and find out the equation by the point-slope form equation:

[tex]y-y_1=m(x-x_1)\\y-5=-\frac{1}{5}(x-(-2))\\\\5(y-5)=(-1)(x+2)\\5y-25=-x-2\\5y=-x-2+25\\5y=-x+23\\[/tex]

Can you help me with this

Answers

Answer with what

Step-by-step explanation:

Given: x + 2 <-5.
Choose the solution set.
OXIXER,<-7)
OXIXERX <-3)
OxIXER X<3)
OXIXER X<7)

Answers

Answer:

The solution set is {x : x ∈ R, x < -7} ⇒ A

Step-by-step explanation:

The solution set of the inequality x > a is {x : x ∈ R, x > a}The solution set of the inequality x < a is {x : x ∈ R, x < a}The solution set of the inequality x ≥ a is {x : x ∈ R, x ≥ a}The solution set of the inequality x ≤ a is {x : x ∈ R, x ≤ a}

Let us solve the question

x + 2 < -5

→ Subtract 2 from both sides of the inequality

∴ x + 2 - 2 < -5 - 2

∴ x + 0 < -7

x < -7

→ By using the second rule above

The solution set is {x : x ∈ R, x < -7}

Which is the constant of proportionality for the relationship shown in the graph?

PLEASE HELPP! Any help will be greatly appreciated

Answers

Step-by-step explanation:

The constant of proportionality is y / x = 4 / 2 = 8 / 4 = 2.

Answer:

The constant of proportionality is y / x = 4 / 2 = 8 / 4 = 2.

Step-by-step explanation:

Hope this helped have an amazing day!

Which equation is equivalent to 9x+4y=16

Answers

Answer:

8x time 2x= 16

plz help, look in the picture. Then i will add you to brainliest promise ​

Answers

Answer:

I think B or C

Step-by-step explanation:

I think B or C because it is the closest to 52.8.

Hope this helps you.

The answer is B

Because when you round 52.8 you would get 53 but because 53 isnt an option you would do 54 because 54 is closer to 53 than 50. Then you woukd divide because Alexandra is dividng the bags equally into 9 bags.

Answer Choices
A)neither Anne nor Tim
B)both Anne and Ti
C)only Anne
D)only Tim
WILL MAKE THE BRAINLIEST ANSWER IF RIGHT!!

Answers

Answer:

c) only Anne

Step-by-step explanation:

I just did the test. Hope this helps! : )

In the diagram below, triangle ABC is drawn with altitude BD. If AD = 30 and AC = 36, determine the length of AB rounded to the nearest tenth.​

Answers

9514 1404 393

Answer:

  32.9

Step-by-step explanation:

The ratio of long side to hypotenuse is the same for all of the triangles in the figure.

  AD/AB = AB/AC

  AB^2 = AD·AC = 30·36

  AB = 6√30 ≈ 32.863

To the nearest tenth, AB ≈ 32.9.

Each week Josie's mother pays her an allowance to mow and water their front yard. Her mother pays her twice as much to mow the yard as she does to water the yard. She gets a total of $45.00 each week. How much does Josie's mother pay her to mow the front yard? Write an equation and solve the equation.

Answers

Answer: $30

Step-by-step explanation:

Let the amount paid to water the yard be represented by x.

Since her mother pays her twice as much to mow the yard as she does to water the yard. Therefore, the amount to mow the yard would be 2x.

Therefore,

2x + x = $45

3x = $45

x = $15

The amount to mow the front yard would be:

= $15 × 2

= $30

Pls help me ill mark brainliest and more

Answers

Answer: i believe its yes

Step-by-step explanation:

Answer:

B. Yes

Step-by-step explanation:

NEED HELP ASAP!!!!OFFERING BRAINIEST!!!

Answers

Answer:

4

Step-by-step explanation:

what is my answer for this question?
1/3 + 1/4

Answers

Answer:

7 / 12 is the answer

hope this answer will help you

Answer: 7/12

Step by Step Explanation:
To add these together you have to make the denominator the same, so for this question I'm changing the denominator to 12; To turn 1/3 to ?/12 you need to do 12 divided by 3 which equals 4 so you do 1 x 4 so 1/3 is 4/12

For 1/4 you do 12 divided by 4 which is 3 so you times the numerator by 3; so it's 3/12, now you can add 4/12 and 3/12 which is 7/12.

Can somebody plz help answer all the questions correctly thanks a lot !!!
(Only if u done it before)

WILL MARK BRAINLIEST WHOEVER ANSWERS FIRST :DDD

Answers

Answer:

7. 250%

8. 400%

9. 667%

10. 769%

11. 263%

12. 125%

13. 137%

14. 526%

Step-by-step explanation:

divide the first number by the second number, then multiply that answer by 100

so kind of like: Number1 ÷ Number2 = x

then you do x × 100

and that's your answer

(all of my answers are rounded to the nearest percent)

Answer:

7) 40 Percent   8) 25 Percent   9) 25 Percent   10) 112 Percent

11) 38 Percent   12) 800 Percent   13) 73 Percent  14) 19 Percent

Step-by-step explanation:

I hope this helps :)

Simplify the following expressions

a. 2/5- 1/6 b. 3/7-7/14 c. 5/8- 2/3

Answers

1.) 2/5-1/6
Multiply the denominator until both denominators are the same
12/30 - 5/30
Subtract the numerator but NOT the denominator
Final Answer: 7/30

2.) 3/7-7/14
Multiply the denominator until both denominators are the same common denominator
6/14 - 7/14
Subtract the numerator but NOT the denominator
Final Answer: -1/14

3.) 5/8-2/3
Multiply the denominator until both denominators are the same
15/24 - 16/24
Subtract the numerator but NOT the denominator
Final Answer: -1/24

In the diagram below of rectangle RSTU, diagonals RT and SU intersect at 0.
RT = 6x + 4 and 50 = 7% -6, what is the length of US?
U
A) 8
x
B) 2
C) 16
R
D) 32

Answers

6x+4=2(7x-6)
6x+4=14x-12
16=8x
X=2

B) 2
I think it’s correct

Answer: 16

Step-by-step explanation:

What is the slope and equation of a horizontal line ?

Answers

Answer:

Step-by-step explanation:

The equation of a horizontal line is y = b where b is the y-intercept. Since the slope of a horizontal line is 0, the general formula for the standard form equation, y = mx + b becomes y = 0x +b y = b. Also ,since the line is horizontal, every point on that line has the exact same y value. This y-value is therefore also the y-intercept.

Answer:

Horizontal lines have a slope of 0. Thus, in the slope-intercept equation y = mx + b, m = 0. The equation becomes y = b, where b is the y-coordinate of the y-intercept.

Step-by-step explanation:

Horizontal lines have a slope of 0. Thus, in the slope-intercept equation y = mx + b, m = 0. The equation becomes y = b, where b is the y-coordinate of the y-intercept.

Tom is buying topsoil for the flower bed shown below. One bag of topsoil covers 151515 square meters. How many bags of topsoil does Tom need to cover his flower bed?

Answers

Answer:

2 bags of topsoil.

Step-by-step explanation:

The attached figure shows a flower bed.

One bag of topsoil covers 15 square meters.

We need to find how many bags of topsoil does Tom need to cover his flower bed.

The area of the flower bed is :

[tex]A=\dfrac{1}{2}\times 12\times 5\\\\=30\ m^2[/tex]  

Let he has to cover x bags of topsoil. So,

x = Area of flower bed/Area of 1 bag of top soil

x = 30/15

x = 2

Hence, he will need 2 bags of topsoil to cover his flower bed.

Please help me ASAP before report cards thank you

Answers

item 1 is located ( -3,3.5)

its -3 because the dot is on -3 on the x axis

its 3.5 because its in the middle of 3 and 4 on the t axis


I WILL GIVE BRAINLIEST PLZ!

Answers

The answers is A,C,E because if you take the partake line to the slope like it equals to the letters A,C,E

Write y2 in isolated
form.
19x2 + 4y2 = 25

Answers

y=(-19x+5)/4 thats your answer

answer number 10 pls answer number 10 pls answer number 10 pls answer number 10 pls answer number 10 pls answer number 10 pls answer number 10 pls answer number 10 pls answer number 10 pls

Answers

Answer:

what's the question that your asking

where is the question ???

6x - 5 = 5x + 3
If you get it right you get brainest

Answers

Answer:

x = 8

Step-by-step explanation:

6x - 5 = 5x + 3

6x - 5x = 3 + 5 (combining like-terms)

x = 8

Hope this helps!

How do you find the slope of a line in a graph?


Help me please

Answers

what graph? no info is selected in this....!


explaination: hm, think?

[tex]slope = \tan(angle \: made \: by \: \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: line \: with \: x \: axis) [/tex]

[tex]or \: [/tex]

[tex] = \frac{y1 - y2}{x1 - x1} [/tex]

You have $550 in a savings account that earns 3% simple interest each year. How much will be in your account in 10 years? *

Answers

Answer:

$150

Step-by-step explanation:

3% of $500 is $15

$15 ×10 is $150

4х – у = 5
3х + y = 9

Answers

I hope this is helpful
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